Arectangle has an area of 50 centimeters squared. the dimensions of the rectangle are multiplied to form a new rectangle with an area of 200 centimeters squared. by what number were the dimensions multiplied?

2

Step-by-step explanation:

Let A₁ = the original area a

and A₂ = the new area

and n = the number by which the dimensions were multiplied

A₁ = lw

A₂ = nl × nw = n²lw

A₂/A₁ = (n²lw)/(lw) = 200/50

                        n² = 4

                        n = 2

The dimensions were multiplied by a factor of 2.

  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).

step-by-step explanation:

my butt