The area is 2250 square feet.
Answer: h(x) = 3*x^2 - 7*x + 8
Step-by-step explanation:
The rate of change of a function is equal to the derivate:
remember that a derivate of the form:
k(x) = a*x^n is k'(x) = n*a*x^(n-1)
Then we have:
f(x) = 2*x - 10
f'(x) = 1*2* = 2
g(x) = 16*x - 4
g'(x) = 1*16 = 16
h(x) = 3*x^2 - 7*x + 8
h'(x) = 2*3*x - 1*7 = 6*x - 7
So the only that increases as x increases is h(x), this means that the greates rate of change as x approaches inffinity is the rate of change of h(x)
Answer:
m = 7.5
Step-by-step explanation:
4m/5 - 2m/3 =1
We want to get rid of the fractions so multiply each side by 5*3 or 15
15 *(4m/5 - 2m/3 ) =1*15
15 *(4m/5) -15( 2m/3 ) =1*15
Canceling like factors
3* 4m -5*2m = 15
Multiply
12m - 10m = 15
2m = 15
Divide each side by 2
2m/2 = 15/2
m = 7.5
Answer:
the equation has infinitely amny solutions
Answer:
slope = 4
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (3, 12) ← 2 points on the line
m =
=
= 4