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3 years ago

The ordered pairs on the graph represent a proportional relationship. What is the constant proportionality of Y to X

Mathematics

1 answer:

castortr0y [4]3 years ago

7 0

A 7/4 because the slope of the line is 7/4

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F(x)=2x-4. F(x)=2x-4 f-1x=_x+_. Complete the inverse function

natita [175]

Answer:

$f^{-1}(x) = \frac{1}{2}(x +4)$

Step-by-step explanation:

Given

$f(x) = 2x - 4$

Required

Determine the inverse function

Start by replacing f(x) with y

$y = 2x - 4$

Swap the positions of y and x

$x = 2y - 4$

Make y the subject: Add 4 to both sides

$x+4 = 2y - 4+4$

$x+4 = 2y$

Make y the subject: Divide through by 2

$\frac{1}{2}(x + 4) = y$

$y = \frac{1}{2}(x + 4)$

Replace y with f-1(x)

$f^{-1}(x) = \frac{1}{2}(x +4)$

3 0

2 years ago

Is (3,4) a solution to the system of equations. X + y = 7 x - 2y = - 5

Anuta_ua [19.1K]

Answer: Yes, the point (3,4) is a solution to the system.

===================================================

Proof of this:

Replace x with 3 and y with 4 in the first equation

x+y = 7

3+4 = 7

7 = 7

This confirms the first equation. Repeat for the second equation

x-2y = -5

3-2(4) = -5

3 - 8 = -5

-5 = -5

We get true equations for both when we plug in (x,y) = (3,4). This confirms it is a valid solution to the system of equations. It turns out it's the only solution to this system of equations. Visually, the two lines cross at the single location (3,4).

8 0

3 years ago

a car dealer sells suvs and sedans at a ratio of 3:2 each month. if the dealer reports selling 95 cars in a month, how many of e

san4es73 [151]

It would be 57 suvs and 38 sedans sold to be a rational of 3:2

6 0

3 years ago

Solve the formula for b2. A=1/2h(b1+b2)

Katena32 [7]

Firstly, multiply both sides by 2: $2A=h(b_1+b_2)$