Part A:
The plot for the function f(x) and g(x) is attached. The purple curve represents f(x) and the black line represents g(x).
Part B:
The graph of f(x) shows that f(x) is an exponential function.
The graph of g(x) shows that g(x) is a linear function.
Part C:
As x increases from left to right, the function f(x) increases very rapidly.
As x increases from left to right, the function f(x) increases at a constant rate.
Part D:
From the graph it can be seen than the valus of x for which the values of the function are equal are: x = -4 and x = 1.19.
Answer: x^2(1-4x)
Explanation: factor x^2 out of x^2 - 4x^3
52 square feet
Because when you multiple 13 by 4 you get 52 so that will be your answer
Answer:
The correct answer is 75 cubic feet.
Step-by-step explanation:
Volume of each block of cube is 1 cubic foot. Since the block is of the shape of a cube, the side length is 1 foot.
Number of blocks needed to fill the bottom of the the chest is 25.
Height of the chest is 3 feet.
Therefore there are three layers to be filled by blocks. Each layer needs 25 blocks each. Thus number of blocks needed to fill the whole chest is 25 × 3 = 75.
Volume of 75 blocks = Volume of the chest = 75 × 1 = 75 cubic feet.
Therefor the volume of the chest is given by 75 cubic feet.
Answer:
61.6 dollars
Step-by-step explanation:
So, lets go over what we know:
The shows orginally cost 88 dollars.
They are 30% less than that.
This basically means that the shoes will cost 70 percent of their orginal price.
We can basically find the new cost by multiplying the 88 dollars by the 70 percent.
Or, multiplying 88 by 0.7, which is the decimal form of 70%.
88*0.7=61.6
How did I get this?
Multiply 80 by 0.7:
7*8=56
We have 0.7 so it = 5.6
However, it's tens place is 80, not 8, so it will be = 56
It is the same thing in the ones place, however it is 8 not 80, so it will be 0.7*8
= 5.6
56+5.6=61.6
So 61.6 is our answer.
Hope this helps!