The ordered pair describes the location of F' is (6, -2) reflected over the
y-axis.
What is meant by the term reflection?A reflection is the shape's mirror image. The line of reflection is formed when an image reflects through a line. A figure is said to reflect another figure when every point in one figure has been equidistant from every point in another figure. The reflected image should be the same shape and size as the original, but it should face in the opposite direction. Translation can also occur as a result of changes in position.The Y-coordinates of a point remain constant when it is reflected across the Y-axis. However, the X-coordinates are transformed into their inverse signs.
As a result, the Y-axis reflection of a point (x, y) is (-x, y).
For the given question;
Point F (-6, -2) is reflected along the y-axis to form a point F'.
The coordinates of F' becomes (6, -2), negative x axis will becomes positive.
Thus, the ordered pair describes the location of F' is (6, -2) reflected over the
y-axis.
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Hi, can you help me to solve this problem, please !!!
Remember that
The y-intercept is the value of y when the value of x=0
In this problem
we have the equation
y=7x^2+4
For x=0
substitute
y=7(0)^2+4
y=4
the y-intercept is (0,4)(10, 10) А (2, 4) Find point C so that that the ratio of length Ad to the length of CB is 3:1
ANSWER
[tex](8,8.5)[/tex]EXPLANATION
When a line segment is divided by ratio m:n, the coordinates of the point of division are given as:
[tex](\frac{mx_2+nx_1}{m+n},\frac{my_2+my_1}{m+n})[/tex]where (x₁, y₁) and (x₂, y₂) are the coordinates of the ends of the line.
Therefore, we have that:
[tex]\begin{gathered} m=3;n=1 \\ (x_1,y_1)=(2,4) \\ (x_2,y_2)=(10,10) \end{gathered}[/tex]Therefore, the coordinates of point C are:
[tex]\begin{gathered} (\frac{3\cdot10+1\cdot2}{3+1},\frac{3\cdot10+1\cdot4}{3+1}) \\ (\frac{30+2}{4},\frac{30+4}{4}) \\ (\frac{32}{4},\frac{34}{4}) \\ (8,8.5) \end{gathered}[/tex]Those are the coordinates of C.
5) Naomi painted 16.5 square feet of a mural at a rate of 2 square feet per hour. Calire painted 7.5 square
feet of the mural at a rate of 4 square feet per hour. If they continue to paint at the same rates, how many
more hours will it take until Naomi and Claire have painted equal areas of the mural?
Answer: 4.5
Step-by-step explanation:
We need to find the amount of time until Calire paints a total of 9 more square feet.
Since the difference in their rates is 2 square feet per hour, it will take 9/2 = 4.5 more hours.
6) Bill found a pair of jeans that cost $35.00. If he had a 20%-off coupon, how much would the
jeans cost?
What is the value of the expression below when z=3?
10z^2 +7z+4
The value of the expression [tex]10z^2[/tex]+7z+4 when z = 3 is 115
The expression is
[tex]10z^2[/tex]+7z+4
The expression is defined as the statements that have a minimum of two terms containing numbers or variables , connected by an operator in between. The operator maybe addition, subtraction, division, multiplication etc..
The expression is
[tex]10z^2[/tex]+7z+4
The value of z = 3
Substitute the value of z in the given expression
= [tex]10(3)^2[/tex]+ 7×3 + 4
= 10×9 + 21 + 4
Multiply the terms first
= 90 + 21 + 4
Add them together
= 115
Hence, the value of the expression [tex]10z^2[/tex]+7z+4 when z = 3 is 115
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Complete the table and use the results to find the indicated limit.
Given the function:
[tex]k(x)=\frac{x^3-x-6}{x-2}[/tex]when x = 1.9
[tex]k(x)=\frac{1.9^3-1.9-6}{1.9-2}=\frac{-1.041}{-0.1}=10.41[/tex]when x = 1.999
[tex]k(x)=\frac{1.999^3-1.999-6}{1.999-2}=\frac{-0.0109944}{-0.001}=10.994001[/tex]When x = 2.001
[tex]k(x)=\frac{2.001^3-2.001-6}{2.001-2}=\frac{0.011006}{0.001}=11.006[/tex]When x = 2.1
[tex]k(x)=\frac{2.1^3-2.1-6}{2.1-2}=\frac{1.161}{0.1}=11.61[/tex]so, the limit of the function k(x) = 11
The answer is option A. 11
Graph the equation after rewriting it in slope-intercept form. 9x+3y=18
The equation of a line in the slope intercept form is expressed as
y = mx + c
The given equation is
9x + 3y = 18
We would rearrange it so that it takes the form of the slope intercept equation shown above.
We would divide both sides of the equation by 3, we have
9x/3 + 3y/3 = 18/3
3x + y = 6
Subtracting 3x from both sides of the equation, we have
3x - 3x + y = 6 - 3x
y = 6 - 3x
The slope intercept form is
y = - 3x + 6
To plot the graph, we would substitute values of x into the equation to get corresponding y values. These x and y values would be plotted on the x and y coordinates of the graph. We have
For x = - 2, y = 6 - 3(- 2) = 6 + 6 = 12
For x = - 1, y = 6 - 3(-1) = 6 + 3 = 9
For x = 0, y = 6 - 3(0) = 6 - 0 = 6
For x = 1, y = 6 - 3(1) = 6 - 3 = 3
For x = 2, y = 6 - 3(2) = 6 -6 = 0
The graph is shown below
Can someone help me out (I will give branliest)
Answer: Emma > Amelia > Brandon > Celesle > Damian
Step-by-step explanation:
We convert all the fractions to decimals (2 decimals).
Amelia 4.35 lbs
Brandon [tex]4\frac{1}{3}= \frac{12}{3} +\frac{1}{3} =\frac{13}{3}[/tex] ≈ 4.33 lbs
Celesle 4.2 lbs
Damian √15 ≈ 3.87 lbs
Emma [tex]4\frac{2}{3} =\frac{12}{3} +\frac{2}{3} =\frac{14}{3}[/tex] ≈ 4.67 lbs
4.47 lbs > 4.35 lbs > 4.33 lbs > 4.2 lbs > 3.87 lbs
Emma > Amelia > Brandon > Celesle > Damian
shelly wants to tile a rectangular floor that measures 132 feet by 150 feet using square tiles that are all of the same size, with no overlap and no squares hanging over the edge. what is the measurement of the largest square tiles she can use?
The measurement of the largest square tiles she can use is 6 feet.
Finding all common factors between two numbers and choosing the biggest one yields the highest common factor (HCF). For instance, the numbers 8 and 12 share the elements 1, 2, and 4. Four is the greatest common factor.
Steps for calculating HCF:
Step 1: Write each integer as the sum of its prime factors in step one.
Step 2: List the shared factors between the two numbers.
Step 3: The HCF is the sum of all the common prime factors ( use the lower power of each common factor)
Given,
Measurement of the rectangular floor:
length = 150 feet
breadth = 132 feet
The measurement of the largest square can be calculated by finding the HCF of 132 and 150.
132 = 2*2*3*11
150 = 2*3*5*5
So, HCF (132, 150) = 2*3 = 6.
Hence, the measurement of the largest square tiles she can use is 6 feet.
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Reflect the figure over the line y = 1. Plot all of the points of the reflected figure. You may click a plotted point to delete it.
Answer:
Step-by-step explanation:
Describe the end behavior of the graph of the following polynomial function:
We will have the following:
From the polynomial we will have that:
*It falls to the left and rises to the right.
This can be seeing as follows:
25 lbs of potatoes cost $100. How much
would 15 lbs cost?
Round the answer to two decimal digit
Determine the intervals on which the function is increasing, decreasing, and constant.
A) Increasing on (- 5, - 3) and (2, 5) Decreasing on (- 3, 0) Constant on (0, 2) B) Increasing on (- 3, - 1) Decreasing on (- 5, - 2) and (2, 4) Constant on (- 1, 2) C) Increasing on (- 3, 1) ; Decreasing on (- 5, - 3) and (0, 5) ; Constant on (1, 2) D ) Increasing on (- 3, 0) Decreasing on (- 5, - 3) and (2, 5); Constant on (0, 2)
Answer:
The answer is D
Step-by-step explanation:
Check to see when the graph is increasing and decreasing from left to right.
It is decreasing from x = -5 to x = -3 or (-5,-3) These look like a points but are not. They are intervals.
Then, it increases from x = -3 to x = 0 or (-3,0)
Then, it stays constant from x = 0 to x = 2 or (0,2)
Lastly, it decreases from x - 2 to x = 5 or (2,5)
To summarize, the graph is increasing from (-3,0). Decreasing on (-5,-3) and (2,5). and constant on (0,2)
The only option that fits these conditions is D.
XYZ has coordinates X(2, 3), Y(1, 4), and Z(8, 9). A translation maps X to X′(4, 8). What are the coordinates for Z′? *
Answer:
Z'(10, 14)
Explanation:
Taking into accoun that the vertex point X(2, 3) is mapped to X'(4, 8), we can say that the translation rule is:
(a, b) ----> (a + 2, b + 5)
Because
X(2, 3) ----> (2 + 2, 3 + 5)
----> X'(4, 8)
So, using this rule, we can find the coordinates for Z' as:
Z(8, 9) ----> (8 + 2, 9 + 5)
----> Z'(10, 14)
Therefore, the answer is Z'(10, 14)
6. Create a systems of inequalities to represent the graph below
System of inequalities
We are given the graph where two lines represent the solution of a system of inequalities.
The solution is the double-shaded region of the graph.
We need to find the equation of the blue line and the red line and then convert them to inequalities.
Let's start with the blue line. We need to find two clear points through which it passes. These are (0,6) and (2,0). Now we write the equation of the line when knowing two points (the point-point form):
[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex][tex]\begin{gathered} \displaystyle y-6=\frac{0-6}{2-0}(x-0)=-3x \\ \text{Adding 6:} \\ y=-3x+6 \end{gathered}[/tex]For the red line, the points are (0,0) and (2,2):
[tex]\begin{gathered} y-0=\frac{2-0}{2-0}(x-0)=x \\ y=x \end{gathered}[/tex]Now we have the equations of the lines, we must convert the equation to inequality by inserting one of these symbols instead of the equal sign:
> ≥ < ≤
For the blue line, the equation of the line is:
y = -3x + 6
Testing the origin (0,0):
0 = 0 + 6
0 = 6
To convert this to a true inequality we must replace the = for < or ≤
Since the blue line is solid, the points on the line belong to the solution, thus the first inequality is:
y ≤ -3x + 6
Now for the red line. The equation is
y = x. Let's test the point (2,1)
1 = 2
We must use the sign ≤ to make the expression true, thus the second inequality is:
y ≤ x
Thus, the system of inequalities is:
y ≤ -3x + 6
y ≤ x
You and a friend have each randomly draw a card.
There are 52 cards in a deck.
There are 12 face cards in the deck, that is 3 face cards per suit.
The probability of getting at least from two draws is given to be:
[tex]P=P(X=1)+P(X=2)[/tex]Therefore, the probability is calculated using the formula:
[tex]P=\frac{^{12}C_1\times^{40}C_1}{^{52}C_2}+\frac{^{12}C_2}{^{52}C_2}[/tex]Using the combination formula, we have the solution to be:
[tex]\begin{gathered} \Rightarrow\frac{12\times40}{1326}+\frac{66}{1326}=\frac{480}{1326}+\frac{66}{1326} \\ P=\frac{546}{1326} \\ P=\frac{7}{17} \end{gathered}[/tex]The LAST OPTION is correct.
For each of the following quadrilaterals, select all the properties that must be true.
Answer:
Rhombus: All sides congruent, two pairs of parallel sides
Parallelogram: Two pairs of parallel lines
Rectangle: 4 right angles, Two pairs of parallel sides
Step-by-step explanation:
Explain how the points A(9,-) and 8(9,3) are related. Use vocabulary words
in your explanation.
Answer: The points (9,-) and (9,3) Both have the same (y) coordinate.
Step-by-step explanation:
39+(20.4) can u help me with this answer I don't know how to do it
You have the following expression:
39 + (-20.4)
In order to simplify the previous expression, you first eliminate the parenthesis. To do that, you take into account that the sign before the parenthesis must multiply the sign inisde. In this case, you have a positive sign + before the parenthesis, and inside you have a minus -. When the parenthesis is eliminated, these signs are multiplied (here you use the multiplication rule for signs). Thus, you have that - x + = - (positive multiplied by negative is equal to negative). And the expression becomes:
39 + (-20.4)
= 39 - 20.4
= 18.6
Hence, the simplified expression is 18.6
Solve the compound inequality. 2x-4 > 8 or 3x-1 < -10
-3 < x < 6
x > 6 or x < -3
x > 2 or x < -3
x < 6 or x < -3
The solution to the compound inequality is x > 6 or x < -3
How to solve compound inequality?An inequality is a mathematical expression that has <, >, ≤ and ≥.
A compound inequality is an inequality that combines two simple inequalities.
Therefore, let's solve the compound inequality as follows:
2x - 4 > 8 or 3x - 1 < - 10
2x - 4 > 8
add 4 to both sides of the inequality
2x - 4 + 4 > 8 + 4
2x > 12
divide both sides by 2
x > 12 / 2
x > 6
3x - 1 < - 10
add 1 to both sides of the inequality
3x - 1 + 1 < - 10 + 1
3x < - 9
divide both sides by 3
x < -9 / 3
x < -3
Therefore, x > 6 or x < -3
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The solution to the compound inequality will be; x > 6 or x < -3
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two functions in an problem.
A compound inequality is defined as an inequality that combines two simple inequalities.
Therefore, solve the compound inequality that will be;
2x - 4 > 8 or 3x - 1 < - 10
2x - 4 > 8
Then add 4 to both sides of the inequality so,
2x - 4 + 4 > 8 + 4
2x > 12
Now, divide both sides by 2
x > 12 / 2
x > 6
3x - 1 < - 10
Again, add 1 to both sides;
3x - 1 + 1 < - 10 + 1
3x < - 9
Then divide both sides by 3;
x < -9 / 3
x < -3
Therefore, solution to the compound inequality is; x > 6 or x < -3
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I dont know pls help me
In Close Encounters of a Bear Kind, the statement that represents the author's primary attitude towards John's work is that C. John's work is dangerous.
How to illustrate the information?According to the author, he stated that people don't usually realize that bears
can be very dangerous.
He further stated that they will reap people apart of they e the chance. The narrator gave an example about how he walked out at night and had to run back home for his dear life. This was why he stated that the job of John whom was a photographer was a dangerous one.
In conclusion, the correct option is C.
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Mr. Stewart wants to cut a board that is 34 inches long into four pieces that are the same length. How long will each
board be after he cuts them?
08.0 inches
8.2 inches
8.4 inches
O 8.5 inches
RS = 8y +4, ST = 5y + 7, and RT = 115.What is the value of y?
EXPLANATION:
1.The first thing we must do is use a suitable method that allows us to find the value of y for the two equations of the line
2. The correct and most appropriate method is the matching method.
The exercise is as follows:
[tex]\begin{gathered} RS\text{ }=8y+4\text{ } \\ ST=5y\text{ }+7 \\ RS=ST\text{ } \\ 8y+4=5y+7 \\ 8y-5y=7-4 \\ 3y=3 \\ y=\frac{3}{3} \\ \textcolor{#FF7968}{y=1} \\ \text{\textcolor{#FF7968}{the answer is y}}\textcolor{#FF7968}{=1}\text{\textcolor{#FF7968}{ }}\textcolor{#FF7968}{as}\text{\textcolor{#FF7968}{ a whole number or y}}\textcolor{#FF7968}{=\frac{3}{3\text{ }}}\text{\textcolor{#FF7968}{ as a }}\textcolor{#FF7968}{fractional}\text{\textcolor{#FF7968}{ number}} \end{gathered}[/tex]The diameter D of a sphere is 12.4 m. Calculate the sphere's surface area A.
Use the value 3.14 for , and round your answer to the nearest tenth.
The sphere has a surface area of 482.8064 square meters
How to determine the surface area of the sphere?From the question, the given parameters are:
Diameter, D = 12.4 meters
π = 3.14
The surface area of the sphere is calculated using the following formula
S = 4π(D/2)²
Substitute the given parameters in the above formula
So, we have
S = 4 * 3.14 * (12.4/2)²
Evaluate the exponent
This is represented as
S = 4 * 3.14 * 38.44
Evaluate the product
This is represented as
S = 482.8064
Hence, the surface area of the sphere is 482.8064 square meters
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solve the following system of equation graphically on the set of axes below y= x + 5y= -2x -1
To solve graphically this set of equations, we should first draw both lines and see the value of x at which the lines crosses
Both graphs can be drawn as follows
We can see that both graphs intersect at a negative value of x. With a more accurate graph, we can determine that both lines intersect at x=-2.
So the solution for this system of equation is x=-2.
hemoglobin determinations were made on sixteen animals exposed to ionizing radiation. the following observations were recorded: 15.6, 14.4, 14.8, 13.8, 16.6, 14.0, 17.4, 17.3, 18.6, 16.2, 15.7, 14.7, 16.4, 13.9, 14.8, 17.5. construct a 95 percent confidence interval for population standard deviation?
The required values for a 95 percent confidence interval for population standard deviation are CI₈² = [1.1894, 5.221]
CI₈ = [1.0906, 2.2849]
n = 16, Standard Deviation = 1.4764, Var = 2.1796
X²₀.₀₂₅,₁₅ = 6.26, X²₀.₉₇₅,₁₅ = 27.49
CI₈² = [(15ₓ2.1796/27.48),(15ₓ2.1796/6.26)] = [1.1894, 5.221]
CI₈ = [[tex]\sqrt{15*2.1796/27.48} , \sqrt{15*2.1796/6.26}[/tex]] = [1.0906, 2.2849]
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A glacier is moving at a rate of 0.3 inches every hour. The table below represents this relationship.
Glacial Movement
Distance Moved (inches)
Time
(hours)
0.3
1
0.6
2
0.9
3
x
4
What value of x completes the table?
1.2
1.5
3.6
13.3
Answer:
1.2
Step-by-step explanation:
What number is five times the first number. The third number is 100 more than the first number. Of the sound of three numbers is 490, find the numbers
Answer:
The three numbers are:
4.62,
23.1, and
462.2
Step-by-step explanation:
Let X be the "first number."
B = What number is five times the first number: 5X
C = third number is 100 more than the first number: 100X
The sum of all three is 490: X + B + C = 490
----
X + B + C = 490
X + 5X + 100X = 490
106X = 490
X = 4.622
Check:
X = 4.622
B = 5X = 23.11
C = 100X = 462.2
Check:
Sum (4.622 + 23.11 + 462.2) = 490
Bella's mother is 5 less than 4 times her
daughter's age. If her mom is 39 years old, how
old Is Bella?
How do you solve -m=9
Hello!
So, we are given the following to solve:
[tex]-m=9[/tex]
To solve this, simply divide both sides by -1.
[tex]\frac{-m}{-1}= \frac{9}{-1}[/tex]
Then, simplify the expression and you have your solution.
[tex]m=-9[/tex]
Hope this helps! If so, please lmk! Thanks and good luck!
Answer:
m= -9
Step-by-step explanation:
Divide both sides by -1
[tex]\frac{-m}{-1} =\frac{9}{-1}[/tex]
Simplify m = - 9