The journal could use a one-tailed hypothesis test with a significance level (α) of 0.05 to determine whether there is a significant difference between the proportion of women and men.
What is p value?In statistics, the p-value is a measure of the evidence against the null hypothesis. It is the probability of observing a test statistic as extreme as, or more extreme than, the one calculated from the sample data, assuming that the null hypothesis is true. In other words, the p-value is the probability of obtaining the observed results, or more extreme results, if the null hypothesis were true.
Given by the question.
To test the claim that women perceive the gender equality problem to be much more compared to men, the journal could test the following hypothesis:
Hypothesis: The proportion of women who perceive gender equality to be a major problem in the workplace (W) is significantly greater than the proportion of men who perceive gender equality to be a major problem in the workplace (M).
H0: W = M (there is no significant difference in perception of gender equality between men and women)
Ha: W > M (women perceive gender equality to be a major problem more than men do)
who perceive gender equality to be a major problem in the workplace. They could calculate the p-value and compare it to α. If the p-value is less than α, they would reject the null hypothesis and conclude that the proportion of women who perceive gender equality to be a major problem in the workplace is significantly greater than the proportion of men who perceive it to be a major problem.
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Nathaniel would like to establish a trust fund that will provide R380 000 a year, forever, for his descendants. The trust fund will be invested very conservatively, so the expected rate of return is only 6,45%. How much money must he deposit today, to fund this gift for his descendants?
Answer:
Step-by-step explanation:
To calculate the amount of money Nathaniel needs to deposit today to fund this gift for his descendants, we can use the present value formula for a perpetuity:
Present Value = Annual Payment / Discount Rate
In this case, the annual payment is R380 000 and the discount rate (expected rate of return) is 6.45% in decimals, or 0.0645 as a fraction. So we can plug these values into the formula:
Present Value = R380 000 / 0.0645
This gives us a present value of approximately R5,899,225.68. Therefore, Nathaniel would need to deposit R5,899,225.68 today into the trust fund to provide R380 000 a year forever for his descendants, assuming a 6.45% expected rate of return.
each classroom has 6 rows of 5 desks. how many desks are thre in 45 classrooms?
There are 1,350 desks in 45 classrooms that each have 6 rows of 5 desks.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Each classroom has 6 rows of 5 desks.
So the total number of desks in one classroom.
= 6 rows x 5 desks per row
= 30 desks
To find the total number of desks in 45 classrooms, we can multiply the number of desks in one classroom by the number of classrooms.
= 30 desks per classroom x 45 classrooms
= 1,350 desks
Therefore,
There are 1,350 desks in 45 classrooms that each have 6 rows of 5 desks.
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Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
Answer:
1x
Step-by-step explanation:
Firstly lets expand the brackets for the equation
(x - 7 )2 = 36
If we multiply what's in the brackets by 2 we get this:
2x - 14 = 36
Add 14 to both sides:
2x = 50
Divide both sides by 2:
x = 25
Answer = 1x (Only possible solution
Answer:
The two solutions to the given equation are x = 13 and x = 1.
Step-by-step explanation:
To solve the given equation (x - 7)² = 36, begin by square rooting both sides:
[tex]\implies \sqrt{(x-7)^2}=\sqrt{36}[/tex]
[tex]\implies x-7=\pm6[/tex]
Now add 7 to both sides of the equation:
[tex]\implies x-7+7=\pm6+7[/tex]
[tex]\implies x=7\pm6[/tex]
Therefore, the two solutions are:
[tex]\implies x=7+6=13[/tex]
[tex]\implies x=7-6=1[/tex]
A group of 125 students went on a field trip to a museum. Mr. Shan asked a random sample of 50 students which exhibit was their favorite. Ten students favored the insect exhibit, 15 students favored the space exhibit, and 25 students favored the dinosaur exhibit. Based on the survey results, which inferences about the entire group of 125 students are true? Select TWO correct answers. 1.One-fifth of students favored the insect exhibit. 2.The dinosaur exhibit is most favored. 3.The insect exhibit is favored more than the space exhibit. 4.Only 24% of students favored the space exhibit. 5.Fifty students favored the dinosaur exhibit.
Answer:1 and 2
Step-by-step explanation:
so, they asked 50 students and then that was later broke down to smaller groups.
10,15,25
so, for every 10 students will be one. 1 vote= 10 students.
also, the dinosaur had the greatest number of votes so that explains answer 2.
2. What is the y-intercept of the equation y =
a) (0,0)
(0, 12)
хо
Q
3. What is the domain of the equation y =
b) x # -4,0
د در
Ax#4
to
(x-3)(x-4)? (2A.2A)
c) (0,4)
بیرون
(x-3)(x-4) ? (2A.2A)
y=3
c) x #0
d) No y-intercept
4. What is/are the vertical asymptote(s) of the equation y = (x-3)(x-4) (2A.2A)
What we are t
a) x = 3
b) x = 0
x=4
d) x = 0 and x = 4
d) x # 4,0
+8
5. What is the horizontal asymptote of the equation y = (x-3)(x-4) (2A.2A)
b) y = 4
c) y = 1
d) y = 0
X-4 = 0
X=4
Because the x2 term's coefficient is positive, the function will rise without equation bound as x approaches infinity or negative infinity. As a result, no horizontal asymptote exists.
What is equation?An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x + 3" equals the number "9".
The y-intercept of the equation y = (0,0) is the point on the line where it meets the y-axis and corresponds to the value of y when x equals 0. As a result, the equation y = 0's y-intercept is (0,0).
An equation's domain is the set of all possible values of x for which the equation is defined.
a) Because there are no constraints on the potential values of x, the domain of the equation y = x2 - 4x is all real integers.
b) The domain of the equation y = 1/(x-4) includes all real numbers except x = 4, which is undefined since division by zero is undefined.
c) Because the term within the square root must be non-negative, the domain of the equation y = sqrt(x-3)(x-4) is x >= 3.
As x approaches a specific value, the graph of the function approaches but never reaches vertical asymptotes. As the denominator of a rational function hits 0, they arise.
Because y = (x-3)(x-4) is not a rational function, it lacks vertical asymptotes.
A function's horizontal asymptote is a horizontal line that it approaches when x approaches infinity or negative infinity.
The dominant term in the formula as x gets extremely large or very tiny is x2, thus we can rewrite the equation as [tex]y = x2 - 7x + 12[/tex] .
Therefore, Because the x2 term's coefficient is positive, the function will rise without bound as x approaches infinity or negative infinity. As a result, no horizontal asymptote exists.
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can you solve this question?
y'=?
The differentiation of the variable y is equal to [tex]\frac{1}{2} ( \frac{y^{2}-4x^{3}-4xy^{2} }{2x^{2} y+2y^{3}-xy } )[/tex] for the differential equation.
Given equation: [tex](x^{2} +y^{2} )^{2} = 2xy^{2}[/tex]
differentiate with respect to x
2 [tex](x^{2} + y^{2})[/tex] [ [tex]2x+2y.\frac{dy}{dx}[/tex] ] =[ (1).[tex]y^{2}[/tex] + [tex]x (2y) + \frac{dy}{dx}[/tex] ]
4 [tex](x^{2} + y^{2})[/tex] [ [tex]x+y \frac{dy}{dx}[/tex] ] = [tex]y^{2}[/tex] + [tex]2xy \frac{dy}{dx}[/tex]
4( [tex]x^{3} + x^{2} y \frac{dy}{dx} + xy^{2} + y^{3} \frac{dy}{dx}[/tex] ) = [tex]y^{2}[/tex] + [tex]2xy \frac{dy}{dx}[/tex]
[tex]4x^{3} +4 x^{2} y \frac{dy}{dx} +4 xy^{2} +4 y^{3} \frac{dy}{dx}[/tex] = [tex]y^{2}[/tex] + [tex]2xy \frac{dy}{dx}[/tex]
[tex]4x^{2}y \frac{dy}{dx}[/tex] + [tex]4y^{3}[/tex] [tex]\frac{dy}{dx}[/tex] - [tex]2xy\frac{dy}{dx}[/tex] = [tex]y^{2} - 4x^{3} - 4xy^{2}[/tex]
[tex](4x^{2}y + 4y^{3} - 2xy )[/tex] [tex]\frac{dy}{dx}[/tex] = [tex]y^{2} - 4x^{3} - 4xy^{2}[/tex]
[tex]\frac{dy}{dx}[/tex] = [tex]y^{2} - 4x^{3} - 4xy^{2}[/tex] / [tex](4x^{2}y + 4y^{3} - 2xy )[/tex]
[tex]\frac{dy}{dx}[/tex] = [tex]\frac{1}{2} ( \frac{y^{2}-4x^{3}-4xy^{2} }{2x^{2} y+2y^{3}-xy } )[/tex]
Hence solved. The differentiation for the given differential equation is done using the technique of implicit differentiation. The differentiation of the variable y is equal to [tex]\frac{1}{2} ( \frac{y^{2}-4x^{3}-4xy^{2} }{2x^{2} y+2y^{3}-xy } )[/tex] for the differential equation.
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Need help pleaaasseee
By using chi-squared test, we can conclude that there is evidence of an association between breed and milk yield at the 5% significance level.
What is chi-squared test?
To perform a chi-squared test for independence between breed and milk yield, we need to set up the hypotheses:
Null hypothesis: There is no association between breed and milk yield.
Alternative hypothesis: There is an association between breed and milk yield.
We will use a significance level of 0.05.
To calculate the expected counts for each cell, we will use the formula: (row total x column total) / grand total.
The observed counts and expected counts are:
The grand total is 100.
The degrees of freedom for the test are (number of rows - 1) x (number of columns - 1) = (2 - 1) x (3 - 1) = 2.
Using a chi-squared distribution table or calculator, we find the critical value for a chi-squared test with 2 degrees of freedom and a 0.05 significance level to be 5.99.
To calculate the test statistic, we use the formula:
chi-squared = [tex]sum((observed\ count - expected\ count)^2 / expected\ count)[/tex]
The calculated value of chi-squared is:
[tex]chi-squared = ((32-25.76)^2 / 25.76) + ((20-19.04)^2 / 19.04) + ((16-13.20)^2 / 13.20) + ((10-16.24)^2 / 16.24) + ((18-18.96)^2 / 18.96) + ((4-4.80)^2 / 4.80) = 10.92[/tex]
The degrees of freedom for the test are 2, and the critical value is 5.99.
Since the calculated value of chi-squared (10.92) is greater than the critical value (5.99), we reject the null hypothesis.
Therefore, we can conclude that there is evidence of an association between breed and milk yield at the 5% significance level.
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Rose has made this scale drawing of her house. If her house actually 56 feet wide, then scale of her drawing is
If her hοuse actually 56 feet wide, then scale οf her drawing is scale = 56 feet / (drawing width)
What is the slοpe?The slοpe is a mathematical cοncept that refers tο the steepness οf a line. It is cοmmοnly denοted by the letter "m" and can be calculated using the fοrmula:
slοpe (m) = (change in y) / (change in x)
Withοut having the actual measurements οf the drawing, we cannοt determine the scale.
Tο find the scale οf a drawing, yοu need tο knοw the actual measurements οf the οbject being drawn as well as the cοrrespοnding measurements in the drawing. Fοr example, if yοu knοw that the actual width οf Rοse's hοuse is 56 feet and the width οf the hοuse in the drawing is 8 inches, yοu can determine the scale by using the fοllοwing fοrmula:
scale = actual width/drawing width
Using this fοrmula with the given infοrmatiοn, we get:
scale = 56 feet / (drawing width)
Therefοre, we dο nοt have the drawing width, we cannοt calculate the scale.
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The customer service department of a company found that the relationship between the number of minutes a customer spends on hold when telephoning and the customer's level of satisfaction on a 10-point scale can be approximated by the equation y=10−0.1x
, where x
is the number of minutes on hold and y
is the level of satisfaction. What does 0.1 represent in the equation?
In the equation y = 10 - 0.1x, the coefficient 0.1 represents the slope of the line.
Define slopeit represents the rate of change of y with respect to x, which is the amount by which y changes for every unit increase in x.
In this case, the slope is negative (-0.1), which means that as the number of minutes on hold (x) increases by 1 unit, the level of satisfaction (y) decreases by 0.1 units.
In other words, the longer a customer spends on hold, the lower their level of satisfaction is likely to be. The slope is a key parameter in the equation and provides valuable information about the relationship between the two variables.
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help plsssss… i don’t understand & or know how to do it
Answer: sorry I can't see it.
Step-by-step explanation:
Matt increased his typing speed from 32 to 38 words per minute. What is the percent of increase
Answer:
Matt's typing speed increased by 18.75%.
Step-by-step explanation:
To find the percent increase, we can use the following formula:
percent increase = (new value - old value) / old value x 100%
Using this formula, we can calculate the percent increase in Matt's typing speed as follows:
percent increase = (38 - 32) / 32 x 100%
percent increase = 6 / 32 x 100%
percent increase = 0.1875 x 100%
percent increase = 18.75%
Solve the following quadratic-like equation.
[tex]y^\frac{1}{2} -6y^\frac{1}{4} +8=0[/tex]
Step-by-step explanation:
given quadratic equation is
simplification,
by using,
[tex]y^\frac{1}{2} -6y^\frac{1}{4} +8=0
\\ y^\frac{1}{2} -6y^\frac{1}{4} = - 8 \\
[/tex]
[tex]square[/tex]
[tex] \\ {(y^\frac{1}{2} -6y^\frac{1}{4})}^{2} = {(- 8)}^{2}[/tex]
[tex]y + 36 {y}^{ \frac{1}{2}} \: [/tex]
Find m∠2 if m∠4 = 130°.
*PLEASE HELP ME!*
Explore
Here is a number pyramid puzzle. Fill in the blanks so that each number is the product of the two numbers directly beneath it.
The blanks of the number pyramid puzzle can be filled with numbers calculated below.
How fill in the blanks of the number pyramid puzzle?
A number pyramid puzzle is a type of mathematical puzzle where a pyramid-shaped grid of numbers is given, with some of the numbers missing.
Check the attached image for labeling. Since each number is the product of the two numbers directly beneath it. We can say:
m = -4 * 0.5 = -2
k = 0.5 * 1/8 = 1/16
x * (-1/8) = 8
x = 8/(-1/8)
x = -64
y = x * 1/8
y = -64 * 1/8
y = -8
j = m * k
j = -2 * 1/16 = -1/8
p = -48 * m
p = -48 * (-2) = 96
n = y * 8
n = -8 * 8 = -64
t = p * j
t = 96 * (-1/8) = -12
w = -1/2 * n
w = -1/2 * (-64) = 32
c = t * 1/16
c = -12 * 1/16 = -3/4
u = 1/16 * w
u = 1/16 * 32 = 2
d = c * u
d = -3/4 * 2 = -3/2
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in a figure skating competition each skater receives scores from eight judges a skater has a mean (average) of 7.25 points. write an equation to find the skaters total score s.
The skater's total score would be 58 points (7.25 x 8 = 58).
How can you determine the mean?Just dividing the total number of values in a data set by the sum of all of the values yields it. A frequency table of data or raw data can both be used for the calculation.
The following equation can be used to determine each skater's overall score, s, assuming that they each receive evaluations from eight judges and have a mean score of 7.25 points:
s = 7.25 x 8
The total score is determined by multiplying the average score by the quantity of judges in this equation. In this instance, the skater would have earned 58 points overall (7.25 x 8 = 58).
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In a skating competition each skater receives scores from eight judges a skater has a mean (average) of 7.25 points. Write an equation to find the skaters total score?
a. 7.25 × 8
b. 7.25⁸
c. 7.25 - 8
d. 7.25/8
A sphere has a surface area of 60 square feet. Which choice is the best approximation of its radius? Use 3.14 to approximate pi.\
Answer:
Step-by-step explanation:
The surface area of a sphere is given by the formula:
S = 4πr^2
where S is the surface area and r is the radius of the sphere.
We are given that the surface area of the sphere is 60 square feet. Using the formula above, we can solve for the radius:
60 = 4πr^2
Dividing both sides by 4π, we get:
15/π = r^2
Taking the square root of both sides, we get:
r = sqrt(15/π)
Using 3.14 as an approximation for π, we can evaluate this expression:
r ≈ sqrt(15/3.14)
r ≈ 2.20
Therefore, the best approximation for the radius of the sphere is 2.20 feet.
Answer:
Radius is 2.18
Step-by-step explanation:
;)
Stanley wants to know how many students in his school enjoy watching talk shows on TV. He asks this question to all 24 students in his history class and finds that 55% of his classmates enjoy watching talk shows on TV. He claims that 55% of the school's student population would be expected to enjoy watching talk shows on TV. Is Stanley making a valid inference about his population? (1 point)
a
No, it is not a valid inference because he asked all 24 students in his history class instead of taking a sample from his math class
b
No, it is not a valid inference because his classmates do not make up a random sample of the students in the school
c
Yes, it is a valid inference because his classmates make up a random sample of the students in the school
d
Yes, it is a valid inference because he asked all 24 students in his history class
Answer:
B.......................
During a workout Felicia swims 15 laps in a pool where each lap is 50 yards. Then she walks 30 feet to an indoor track where she runs 5 laps around an indoor track that is 600 feet long. How many miles does she swim, walk, and run?
Felicia swims 0.43 miles, walks 0.0057 miles and runs 0.57 miles. The solution has been obtained by using arithmetic operations.
What are arithmetic operations?
The four fundamental operations, often known as "arithmetic operations," are said to adequately describe all real numbers. The mathematical operations following division, multiplication, addition, and subtraction are quotient, product, sum, and difference.
We are given that she swims 15 laps in a pool where each lap is 50 yards.
By using arithmetic operations, we get
Total yards = 15 * 50 = 750 yard
We know that 1 mile = 1760 yards
So,
750 yards = 0.43 miles
She walks 30 feet.
We know that 1 mile = 5280 feet
So,
30 feet = 0.0057 miles
She runs 5 laps around an indoor track that is 600 feet long.
So, total feet she ran = 5 * 600 = 3000 feet
We know that 1 mile = 5280 feet
So,
3000 feet = 0.57 miles
Hence, she swims 0.43 miles, walks 0.0057 miles and runs 0.57 miles.
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determine what type of transformation is represented
The type of transformation represented in the figure is the translation transformation i.e. (c) none of these
Identifying the type of transformation representedGiven the triangles ABC and A'B'C'
The transformation between the triangles is translation
The translation transformation is a type of transformation that moves an object without changing its size, shape, or orientation.
This transformation involves sliding an object in a particular direction by a certain distance, either horizontally or vertically.
In this case, the direction is horizontally and vertically
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calculate the total distance that the water tanker has covered in March 2022
The total distance that the water tanker has covered in March of 2022 is given as follows:
1860 kilometers.
What is the relation between velocity, distance and time?Velocity is given by the change in the distance divided by the change in the time, hence the following equation is built to model the relationship between these three variables:
v = d/t.
The parameters for this problem are given as follows:
Velocity of 60 kilometers a day.Time of 31 days, as the month of March has 31 days.Hence the total distance is then obtained as follows:
d = v x t
d = 60 x 31
d = 1860 kilometers.
Missing InformationThe complete question is:
"Assuming that the water tanker travels an average of 60 kilometers a day, calculate the total distance that the water tanker has covered in March 2022".
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Given a right triangle with = 60° and the hypotenuse equal to 25 feet, which trigonometric
function would you use to solve for the opposite side?
cosine
secant
sine
tangent
We will use sine function, and length of the opposite side is [tex]\frac{25\sqrt{3}}{2}$[/tex] feet.
Explain about Sine function.To solve for the opposite side of the right triangle, we would use the sine function. In a right triangle, the sine of an angle is defined as the ratio of the length of the opposite side to the length of the hypotenuse.
In this problem, we are given that one angle of the right triangle is 60 degrees and the hypotenuse is 25 feet. Let's label the opposite side as x and the adjacent side as y. Then we can use the sine function:
[tex]$\sin 60^\circ = \frac{x}{25}$[/tex]
Simplifying the left side, we have:
[tex]$\frac{\sqrt{3}}{2} = \frac{x}{25}$[/tex]
Multiplying both sides by 25, we get:
[tex]$x = \frac{25\sqrt{3}}{2}$[/tex]
Therefore, the length of the opposite side is [tex]\frac{25\sqrt{3}}{2}$[/tex] feet.
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Jim worked 45 hours this week. He earns time and a half for overtime. He is paid $12.59 per/hour, how much will he earn this week?
Answer: 566.55 US dollars
Step-by-step explanation: i think, please give 5 stars
Lara grows apples in her orchard and sells them at the weekly farmer's market. Each week, she sells the apples for a different price and records the number of apples sold. The scatter plict below
shows the price of one apple and the number of apples that were sold. A line of best fit for these data points, the equation y=-z+32, is also shown on the plot
Apples Number of Apples Sold
The point (7,8) in the coordinates plane represents a ratio. Adela claims that you can find an equivalent ratio by adding the same number to both coordinates of the point. Is Adela correct?
Answer:
It depends on the context of the problem and the interpretation of the ratio represented by the point (7, 8).
If we interpret the point (7, 8) as representing the ratio 7:8, then Adela's claim is incorrect. Adding the same number to both coordinates of the point would change the value of the ratio. For example, adding 1 to both coordinates would give the point (8, 9), which represents the ratio 8:9, which is not equivalent to 7:8.
However, if we interpret the point (7, 8) as representing a different type of ratio, such as the ratio of the distances from the point to two fixed points or the ratio of the areas of two shapes, then it may be possible to find an equivalent ratio by adding the same number to both coordinates of the point. In this case, Adela's claim could be correct.
Without more information about the context and interpretation of the ratio represented by the point (7, 8), it is difficult to determine the correctness of Adela's claim.
Determine the slope of the line through the points (-1, 8) and (-1, -4). Plot the points on the graph.
The slope for the given point through which it passes through the graph is [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex] = infinity .
What about slope?
The slope of a line is a measure of its steepness. It is defined as the ratio of the vertical change (rise) between two points on the line to the horizontal change (run) between the same two points. In other words, it is the rate at which the line rises or falls as we move along it in the horizontal direction.
Define graph:
In mathematics, a graph is a visual representation of a set of data or mathematical relationships between variables. Graphs can be used to display and analyze data in a variety of formats, including line graphs, bar graphs, scatter plots, and pie charts.
According to the given information:
As, we know that the slope = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
⇒ In which the point given are (-1,8) and (-1,-4)
By putting the value of the given point we have that
⇒ [tex]\frac{-4-(8)}{-1-(-1)}[/tex] = infinity.
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Round 7.19 to the nearest tenth
Answer:
7.2
Step-by-step explanation:
The 1 looks at the number to the right of it. If the number to the right is 5 or more, the 1 moves up to a 2. Hope this helps!
PLEASE ANSWER ASAP THIS QUESTION IS ALOT OF POINTS
The graph is increasing from 0 minutes to 40 minutes, decreasing from 40 minutes to 80 minutes, and constant from 80 minutes to 200 minutes.
What is increasing?The rate of global warming is increasing. Every year, average global temperatures continue to rise, leading to more extreme weather events and disruptions to the environment. This has been caused by human activities, such as burning fossil fuels, which release carbon dioxide and other greenhouse gases into the atmosphere. These gases trap heat, leading to a rise in temperatures.
The domain of the relation is the set of all time values, ranging from 0 minutes to 200 minutes. The range of the relation is the set of all depth values, ranging from 0 feet to 8 feet.
The graph represents a function because for every value of time, there is exactly one corresponding value of depth.
The graph shows the depth of water in a horse trough over a certain amount of time. The graph starts at 0 feet and increases to a maximum of 8 feet over the first 40 minutes. After 40 minutes, the depth of the water starts to decrease until it reaches a minimum of 2 feet at 80 minutes. After 80 minutes, the depth of the water remains constant at 2 feet until the end of the graph at 200 minutes.
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Which of the following are true of
all linear functions?
A. The rate of change is
non-zero.
B. The domain is all real
numbers.
C. The range is all real
numbers.
D. There is one x-intercept.
E. There is one y-intercept.
The domain is all real numbers, The range is all real numbers and There is one y-intercept is true from the given option in context of all linear functions. option B. The domain is all real numbers, C. The range is all real numbers , and E. There is one y-intercept is right choice.
All linear functions have a domain that includes all real numbers, a range that includes all real numbers, and exactly
one y-intercept.
The rate of change of a linear function is non-zero only if the function is not constant (i.e. its slope is not zero).
However, there are linear functions that have a slope of zero, such as the function f(x) = 2, which is a horizontal line.
This means that statement A is not true of all linear functions.
Furthermore, there are linear functions that have no x-intercept (if the line is parallel to the x-axis) or that have more
than one x-intercept (if the line intersects the x-axis more than once).
Therefore, statement D is also not true of all linear functions.
The correct answers to this question are B. The domain is all real numbers, C. The range is all real numbers , and E. There is one y-intercept.
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Write 4/8 in lowest terms
Answer:
4/8 in lowest terms is 1/2.
Step-by-step explanation:
Answer: 1/2
4/8 is equivalent to 1/2
Solve the equation √y+3=√y +√ 3
Step-by-step explanation:
so, it is
sqrt(y + 3) = sqrt(y) + sqrt(3)
first we square both sides :
y + 3 = y + 3 + 2×sqrt(y)×sqrt(3) =
= y + 3 + 2×sqrt(3y) =
= y + 3 + sqrt(4×3y) = y + 3 + sqrt(12y)
0 = sqrt(12y)
we square again :
0² = 12y
0/12 = 0 = y