Which chart could represent the function of f(x) = -2x + 6

D.

Step-by-step explanation:

For the function

when x = 0 we get:

⇒ when x = 0,  f(x)=6

So we can rule out options B and C because they have different values for the function f(x) when x = 0, and for A and D we have the correct value of 6.

Now, let's check for the value of x = 2, the function is:

We get that f(x) = 2 when x = 2.This is only true in option D, thus the chart D represents the function

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!