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4 years ago

9

The output of a function is 9 less than 3 times the input. Write an equation for the function and then find the input when the o

utput is –6.

1 answer:

labwork [276]4 years ago

3 0

Output is y.

so, y is -6.

-6 x 3 - 9
use PEMDAS to solve

-18 - 9

- 27

the input is -27

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Write the standard form of a line that passes through (1, 1) and (3, 4)

Sophie [7]

Answer:

3x - 2y = 1

Step-by-step explanation:

Step 1: Find the slope

slope m = (y2 - y1)(/x2 - x1)

m = (4 - 1)/(3 - 1) = 3/2

Step 1: Use the formula y = mx + b to solve

This is slope-intercept form of a line. We have a slope of 3/2, and a point (x, y), which is (1, 1). Plug those values into the equation above and solve for b (the only variable we are missing

1 = (3/2)(1) + b

1 = 3/2 + b

1 - 3/2 = b

2/2 - 3/2 = b

-1/2 = b

Step 2: Rewrite the formula using the slope and the b value we just calculated

y = (3/2)x - 1/2

Step 3: Standard form of a line is ax + by = c, where a is a positive integer, so we rearrange the equation from step 2 to standard form.

y = (3/2)x - 1/2

-(3/2)x + y = -1/2 (subtract (3/2)x from both sides)

-3x + 2y = -1 (multiply by 2 to get rid of the fraction on x)

3x - 2y = 1 (multiply by -1 so a becomes positive)

3 0

3 years ago

If f(x) = 6(x − 2), find f(5).<br><br> 18<br> 36<br> 108<br> 216

charle [14.2K]

Answer:

f(5) = 6(5-2) = 18

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4 years ago

Read 2 more answers

The graph below shows the amount of money left in the school’s desk fund, f, after d desks have been purchased.

jeka94

Answer:

$ 110

Step-by-step explanation:

The points on the graph are:

(0, 700), (1, 590), (2, 480), (3, 370), (4, 260), (5, 150), (6, 40)

Since, the x-axis represents the number of desks purchased and y-axis represent the amount left in the fund, the first point in the above pairs represent the number of desks purchased and second point represents the amount left in the funds after purchasing that many desks.

The first pair: (0, 700)

This shows when no desk is purchased the amount in the college fund is $ 700.

The second pair: (1, 590)

This shows when 1 desk is purchased, the amount in the college fund is reduced to $ 590.

So, the decrease in the desk fund after purchasing 1 desk = $700 - $590 = $ 110

Any two pairs from the given ordered points can be used to find this number, the result will be the same in all cases.

So, for each new desk that is purchased, the amount of money left in the school’s desk fund decreased by $ 110.

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3 years ago

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If the area of a square is 625 cm^2 then what is the length of one side of the square

solmaris [256]

Question

If the area of a square is 625 cm^2 then what is the length of one side of the square

Answer:

Step-by-step explanation:

The sides can be found by taking the square root of the area

√625 =

25 cm

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check

Area = s²

25² = 625

the answer is good

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3 years ago

What is the answer for this using substitution?

damaskus [11]

9514 1404 393

Answer:

(x, y) = (2, -2)

Step-by-step explanation:

We would normally choose to use substitution when x or y could be easily solved-for without having fractions involved. That is not the case here. However, we observe that the term 3y appears in both equations, so we can substitute for "3y" instead of "y".

From the second equation, ...

3y = 5x -16

Substituting into the first equation, ...

2x +(5x -16) = -2

7x = 14 . . . . . . . . . add 16

x = 2 . . . . . . . . . . divide by 7

Using our equation for y, we get ...

3y = 5(2) -16 = -6

y = -2 . . . . . . . . . divide by 3

The solution is (x, y) = (2, -2).

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3 years ago