The function exists
Last month: 2x + 3y = 1,470
Next month: 2x + 3y = 1,593
What is meant by functions?An expression, rule, or law in mathematics that establishes the link between an independent variable and a dependent variable (the dependent variable)
Given: Profit of every sandwich = $2
Profit of every wrap = $3
Let x be the number of sandwich and
y be the number of wrap
Last month: 2x + 3y = 1,470
Next month: 2x + 3y = 1,593
Both still have the same profit. $2 for sandwiches and $3 for wraps.
The only reason why there exists a difference in the total amount exists the change in the number of sandwich or wrap sold in a given month.
Therefore, the next month's total sale exists higher than last month's total sale, it exists safe to assume that the sale of sandwich or wrap exists higher than last month's sale.
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What is the distance between the points (−7, −3) and (−7, −9) ? Responses
Courtney used 1650 inches of ribbon to make 300 hair bows all the same size. how many inches of ribbon does she need to make 1 bow?
Answer:
5.5 inches
Step-by-step explanation: if you divide it, u will get 5.5 inches
-7/9y = -42 solve for y and simplify your answer as much as possible. please answer this
Answer:
y = 54
Step-by-step explanation:
a) Multiply both sides by 9/(-7).
(9/-7) * (-7/9 y) = (9/-7) * (-42)
y = 54
A. Find the equation of the L line that intersects graph C at point A (2, -5). B. Find the line equation with the coefficient of direction equal to -10 and touch and graph C
Graph C has a function
[tex]f(x)=2x^3-16x+11[/tex]Since the line L intersects the graph at the point, A (2, -5)
To find the slope of the line we will differentiate the f(x) and substitute x by 2
[tex]\begin{gathered} f^{\prime}(x)=2(3)x^{3-1}-16x^{1-1}+0 \\ f^{\prime}(x)=6x^2-16 \\ m=6(2)^2-16 \\ m=24-16 \\ m=8 \end{gathered}[/tex]The slope of the line is 8, substitute it in the form of the linear equation
[tex]\begin{gathered} y=mx+b \\ y=8x+b \end{gathered}[/tex]To find b substitute x by 2 and y by -5
[tex]\begin{gathered} -5=8(2)+b \\ -5=16+b \end{gathered}[/tex]Subtract 16 from both sides to find b
[tex]\begin{gathered} -5-16=16-16+b \\ -21=b \end{gathered}[/tex]Then the equation of the line is
[tex]\begin{gathered} y=8x+(-21) \\ y=8x-21 \end{gathered}[/tex]Simply the equation 3(6+x)=-18
Answer 3(6 + x) = -18 is 3
Explanation.-18 = 3(6 + x)
-18 = 18 + 3x
3x = 18 - 18
x = 0 + 3
x = 3
____________________
Class: High School
Lesson: Equation
[tex]\boxed{ \colorbox{lightblue}{ \sf{ \color{blue}{ Answer By\:Cyberpresents}}}}[/tex]
Simone Buys A shirt and a hat. The hat costs 6 the shirt costs 5 times as much as the hat. How much more does the shirt cost than the hat? Break up the problem and two small steps use a more models and equation to complete each step find how much to shirt cost find how much more shirt cause then the hat
The equation to find the cost of the shirt is s = 5h and the cost is 30.
What is an equation?An mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario
Cost of the hat = 6
The shirt costs 5 times as much as the hat. Therefore, this will be:
s = 5h
where s = cost of shirt
h = cost of hat
The cost will be:
s = 5h
s = 5 × 6
s = 30.
The cost is 30.
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Answer:
11
Step-by-step explanation:
You will just add 6+5=11
It costs $2.50 to rent bowling shoes. Each game $2.25. Write an equation that represents the cost, c, to bowl after g, number of games
In linear equation, $9.25, you can bowl a maximum of 3 games.
What in mathematics is a linear equation?
An x-y linear relationship, or two variables in which the value of one of them (often y) relies on the value of the other one, is what is known as a linear equation in two variables (usually x). The dependent variable in this scenario is y since it depends on the independent variable, x.If it costs $2.50 to rent bowling shows and each game costs $2.25, then the total cost of playing x bowling games can be represented as
C = 2.50 + 2.50x
If you have a total of $9.25, then
9.25 = 2.50 + 2.25x
Subtracting 2.50 from both sides of the equation, we get
9.25 - 2.50 = 2.50 + 2.25x - 2.25
6.75 = 2.25x
Dividing both sides of the equation by 2.25, we get
6.75/2.25 = 2.25x/2.25
x = 3
Therefore, with $9.25, you can bowl a maximum of 3 games.
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how much rupees of 12 1/2% is Rs.45
Answer: Rs. 360
Step-by-step explanation:
let x of 12 1/2%=45
=> x.25/200=45
=> x/8=45
=> x=45.8
=> x=360
it is Rs 360
Determine whether each function is quadratic function by graph
F(x) = 1/2 x - 4
HELP!! also please do not give me the answer i just need help knowing how to solve this! :)
Using mathematical operations, we know that a wooden piece of (B) 4 feet will have the least unused wood.
What are mathematical operations?An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands. The rules that specify the order in which we should solve an expression involving multiple operations are known as the order of operations. PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction (from left to right).So, the piece of wood which will have the least amount of unused wood:
The piece of wood Tomas will cut is √11.We know that √11 is 3.313.31 is more than 3 and less than 4.
3 < 3.31 < 4So, wooden pieces of 4 feet will have the least unused wood.
Therefore, using mathematical operations, we know that a wooden piece of (B) 4 feet will have the least unused wood.
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Jenna bought a new car for $29,000. She paid a 10% down payment and financed
the remaining balance for 48 months with an APR of 4.5%. Determine the monthly
payment that Jenna pays.
The monthly payment that Jenna pays for the new car is $1279.411 .
What is compound interest and how is it calculated?
The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest.
Mathematically, A = P (1 + (R/n))^t
Given, total cost of the car = $29,000
Percentage of amount paid while in down payment = 10%
Therefore, amount paid as down payment = (10/100)*29000 = $2900
Now, amount put on loan by Jenna = A = 29000 - 2900 = $26,100
Also, number of years for which amount is loaned = n = 4 years
Annual Percentage Rate of the loan allowed = R = 4.5
Following the formula established in the literature above, we have:
26100 = P (1 + (4.5/4))⁴ ⇒ P = 26100/(1 + (4.5/4))⁴ ⇒ P = 26100/20.4
= 1279.411
The monthly payment that Jenna pays for the new car is $1279.411
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HURRY WILL MARK BRAINLIEST
Evaluate.
(18−42+2)21÷4⋅12
Responses
2
32
64
128
Answer:
128
Step-by-step explanation:
solve for inside parentheses:
-22x21÷4-12
do multiplication and division:
-115.5-12
subtract:
-127.5
Hope this helps
What is the y value of the y-intercept of the line that contains the points (-8,-5)
and (10, 67)?
We will see that the linear equation that passes through the two given points is:
y = 4x + 28
So the y-intercept is y = 28.
How to find the y-intercept of the line?First, we need to find the linear equation that passes through the two given points. Remember that for a line that passes through two points (x₁, y₁) and (x₂, y₂), the slope is:
m = (y₂ - y₁)/(x₂ - x₁)
Here our line passes through (-8,-5) and (10, 67), then the slope is:
m = (67 + 5)/(10 + 8) = 4
So we can write:
y = 4*x + b
To find the value of b we can use the point (-8,-5), replacing these values we get:
-5 = 4*-8 + b
-4 + 4*8 = b
28 = b
So the y-intercept is 28.
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will mark branliest
Which graph shows the circle whose equation is (x−1)2+(y+3)2=16?
Which graph shows the circle whose equation is (x−1)2+(y+3)2=16?
circle formula:
[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]
Given:
[tex](x-1)^{2} +(y+3)^{2} =4^{2}[/tex]
put into circle formal format:
[tex](x-h)^{2} +(y-k)^{2} =r^{2}\\(x-1)^{2} +(y-(-3))^{2} =4^{2}[/tex]
The center of the circle is at point (h,k)
[tex](x-1)^{2} +(y+3)^{2} =4^{2}[/tex]
center should be at: (1,-3)
Answer:
lower row, left grid.
Answer:
Lower left, bottm, circle
Step-by-step explanation:
See attached graph
Which pair of statements about the lengths of two sides of the triangle is true? 10 9 8 D (8,7) 7 л д) 4 3 2 1 X F(6, 1) 2 3 4 5 6 E (8.1) 8 9 10 1 7 O A. The side length between Dand Eis 7 units. The side length between Eand Fis 2 units. O B. The side length between D and Eis 6 units. The side length between E and Fis 2 units. O C. The side length between D and Eis 2 units. The side length between E and Fis 6 units. O D. The side length between D and Eis 8 units. The side length between Eand Fis 1 units.
Answer:
Choice B.
Explanation:
The side length is the distance between the vertices of the triangle given.
what is the radius of the circle?
Answer:
7 units
Step-by-step explanation:
Hello!
The radius of a circle is the distance from the center of the circle to it's outer edge.
The radius of this circle is 7 units, as the distance from the center to the outer edge is 7.
Answer:
7 units
Step-by-step explanation:
count from the center to the circle to one of the sides which is 7 units
The equation for line s can be written as y = 3/10x + 8. Line t is parallel to lines and passes through (-7, -2). What is the equation of line t? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
A line's equation written using a single point on the line and the line's slope is referred to as the point-slope form. The slope is the rise over run, or the ratio of the change in the y values over the change in the x values, and the point form is denoted as (x,y).
What is the line's slope-intercept form?The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.y= 3 / 10x + 8
The slope-intercept form isy=mx+b, where
m is the slope and b is the y-intercept.y=mx+b
Reorder termsy=3/ 10x+8
Use the slope-intercept form to find the slope and y-intercept.Using the formula y = m x + b, determine the values of m and b.m=3/10 b=8
The value of m represents the line's slope, and the value of b represents the y-intercept.Slope: 3/ 10, and the y-intercept is at (0, 8).
Two points can be used to graph any line. To determine the corresponding y values, enter the equation with two chosen x values.Phrase reordering y = 3 /10 x + 8The x and y values should be put into a table.x y
0 8
10 11.
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A family buys a studio apartment for 200,000 . They pay a down payment of 50000
Answer:
A 20% B. 45%
Step-by-step explanation:
A 40,000/200000=.2 0r 20%
b. 90,000/200000=.45 or 45%
pls help me super confused on inequality
what’s the quadratic formula
2X-3X-3=0?
explain how you got the answer
Slope - 2/3
y - intercept : (0,3)
x | y
0 | 3
3 | 1
a survey conducted by a research team was to investigate how the education level, tenure in current employment, and age, are related to annual income. a sample 20 employees is selected and the data is given below. education (no. of years) length of tenure in current employment (no. of years) age (no. of years) annual income ($) 17 8 40 124,000 12 12 41 30,000 20 9 44 193,000 14 4 42 88,000 12 1 19 27,000 14 9 28 43,000 12 8 43 96,000 18 10 37 110,000 16 12 36 88,000 11 7 39 36,000 16 14 36 81,000 12 4 22 38,000 16 17 45 140,000 13 7 42 11,000 11 6 18 21,000 20 4 40 151,000 19 7 35 124,000 16 12 38 48,000 12 2 19 26,000 10 6 44 124,000 for two people a and b with the same years of education and age, suppose a's length of tenure is 2 more years than b, what would the salary difference between a and b? group of answer choices -4387.76 2193.88 2689.24 10011.92 none of the choices
The relationship between a dependent variable, y, and one or more independent variables, X, is described by a linear regression model.
What is linear regression model?The relationship between a dependent variable, y, and one or more independent variables, X, is described by a linear regression model. The response variable is another name for the dependent variable. Explanatory or predictive variables are other names for independent variables. Models with a single predictor are known as simple linear regression. Multiple predictor models are known as multiple linear regression. Models for numerous response variables using multivariate linear regression. Finding the weights (namely, W0 and W1) that result in the best-fitting line for the input data (i.e., the X characteristics) that we have is how linear regression functions. The line with the lowest price is chosen to be the greatest fit.Using an online multiple regression calculator, the estimated multiple linear regression equation that can be used to forecast the annual income using the number of school years completed (Education), length of tenure in the current employment, and age is as follows:
y = - 143481.1924 + 10011.9212x1 - 2193.8838x2 + 2689.2405x3
According to the general form of a multiple linear regression model:
-143481.1924 = intercept(c) ; where regression line crosses the origin
10011.9212x1 - 2193.8838x2 + 2689.2405x3 are weight coefficients of the three predictor variables ; x1, x2, and x3
y = predicted variable
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Is a total of 13 horses complete in the horse race the bell mistakes and how many different ways can the top 5 position be arranged
SOLUTION:
Questions involving arrangement is permutation, while questions involving selection is combination.
Since the given question involves arrangement, so the correct option is PERMUTATION.
The number of possible arrangements for the top five finishers from the 13 horses is 13 permutation 5.
[tex]^{13}P_5\text{ = 154,440 ways}[/tex]Sandra saves 12% of her salary for retirement. This year her salary was $1,000 more than in the previous
year, and she saved $4,920. What was her salary in the previous year?
Answer:
$32,000
Step-by-step explanation:
Please fill in the blanks. I set it as 30 but I don't know how many points you get for answering lol
The function is power function. The power of the function is -3, the constant of variation is k, and the independent variable is d.
In this question, we have been given a function y = k/d³
We need determine whether function is power function or not.
We know that, a power function is of the form y = x ^n where n is any real number.
We can write given function as,
y = k × d^(-3)
Given that, k represents a constant.
Here, the value of y depends on the value of d.
So, d is an independent variable and y is dependent variable.
also, the power of given function is -3
Therefore, the function is power function. The power of the function is -3, the constant of variation is k, and the independent variable is d.
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Let g(x) be the transformation, vertical translation 5 units down, of f(x)= 3x+9. Write the rule for g(x).
We can see the next function:
[tex]f(x)=3x+9[/tex]And we need to translate this function 5 units down, which results in the function g(x).
To find the rule for g(x), we can follow the next steps:
1. We know that the general rule for a function translated k units down is given by:
[tex]f(x)-k\rightarrow\text{ f\lparen x\rparen has been translated by k units down \lparen where k > 0\rparen.}[/tex]2. Then if we translate the original function by 5 units down, we will have that:
[tex]\begin{gathered} f(x)=3x+9 \\ \\ \\ f(x)-5=3x+9-5\rightarrow g(x) \\ \\ \end{gathered}[/tex]3. Therefore, g(x) will be:
[tex]\begin{gathered} g(x)=3x+9-5=3x+4 \\ \\ g(x)=3x+4 \end{gathered}[/tex]Hence, in summary, we have that the rule for g(x) is g(x) = 3x + 4 (option A).
The larger of two numbers is five times the difference of the small number and one. If sum of the two numbers is 50 what are the two numbers?
Answer:
Step-by-step explanation:
40.833 recurring and 9.166 recurring
or 40 5/6 and 9 1/6
Call the small number 's'
Call the big number 'b'
The word problem says:
B+S=50 and also that 5(S-1)=B which multiplied out is 5S-5=B
So, 5S-5=B=50-S
Therefore 6S=55 and the rest history!
Answer:
Step-by-step explanation:
I need explanation with this problem been struggling and it's practice for my exam coming up this semester
The first part of the journey took 4/3 hours (80 minutes)
The last part of the journey too 2/3 hours (40 minutes)
Here, we want to set-up equations to solve
We start by filling the table
Line 1
The rate for the first part of the race is 90 mph
The time for the first part of the race is F
Line 2
The time for the second part of the race is L
The distance (product of the rate and time) is 60L
So, adding these up give us the following equations to be added and solved below;
[tex]\begin{gathered} f\text{ + l = 2} \\ 90\text{ f + 60l = 160} \end{gathered}[/tex]So, we proceed to solve these equations simultaneously
[tex]\begin{gathered} \text{from equation i, f = 2-l} \\ \text{substitute this into i}i \\ 90(2-l)\text{ + 60l = 160} \\ 180-90l\text{ + 60l = 160} \\ 30l\text{ = 180-160} \\ 30l\text{ = 20} \\ l\text{ = }\frac{20}{30} \\ \\ l\text{ = }\frac{2}{3}\text{ hours} \end{gathered}[/tex]To get f, we simply substitute l into the first part of the equations;
[tex]\begin{gathered} \text{from; f = 2-l} \\ \\ f\text{ = 2-}\frac{2}{3} \\ f\text{ = }\frac{4}{3}\text{ hours} \end{gathered}[/tex]Since an hour is 60 minutes;
[tex]\begin{gathered} l\text{ = }\frac{2}{3}\times\text{ 60 = 40 minutes} \\ \\ f\text{ = }\frac{4}{3}\times60\text{ = 80 minutes} \end{gathered}[/tex]
How do we calculate slope when given two points on a coordinate plane?
Step-by-step explanation:
Given the coordinates of two points on a line, use the slope formula to find the slope of the line. The slope formula is m=(y2-y1)/(x2-x1) or the change in y value versus the change in x value. The coordinates of the first point represent x1 and y1. The coordinates of the second point are x2, y2.
Answer:
To find the slope, use the formula Rise over Run.
1.) Insert the Y coordinates into their correct space.
2.) Plug in the X coordinates.
3.) Subtract your Y coordinates.
4.) Subtract your X coordinates.
5.) Reduce if needed.
6.) You're done!
Lena purchased a prepaid phone card for 30.50 . calls cost 15 cents a minute using this card. the credit, c (in dollars), left on the card after it is used for minutes of calls is given by the following. how much credit is left on the card after lena uses it for 15 minutes of calls?
Only $28.25 are available. After Lena uses the card for 15 minutes of calls, there are still 28.25 credits left.
Given that,
Lena spent $30.50 on a prepaid phone card. With this card, calls cost 15 cents each minute. the amount of credit, c (in dollars), remaining on the card following x minutes of calls
It can be written as,
C(x) = 30.50 - 0.15x
C(x) = 30.50-(0.15 x 15)
after Lena uses it for 15 minutes,
C(x) = 30.50 – 2.25 = $28.25 in remaining credits.
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