Solve -4(x + 10) - 6 = -3(x - 2)

Step-by-step explanation:

Let's solve your equation step-by-step.

−4(x+10)−6=−3(x−2)

Step 1: Simplify both sides of the equation.

−4(x+10)−6=−3(x−2)

(−4)(x)+(−4)(10)+−6=(−3)(x)+(−3)(−2)(Distribute)

−4x+−40+−6=−3x+6

(−4x)+(−40+−6)=−3x+6(Combine Like Terms)

−4x+−46=−3x+6

−4x−46=−3x+6

Step 2: Add 3x to both sides.

−4x−46+3x=−3x+6+3x

−x−46=6

Step 3: Add 46 to both sides.

−x−46+46=6+46

−x=52

Step 4: Divide both sides by -1.

−x

−1

=

52

−1

x=−52

x=−52

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).