Answer:
1. $66
2. 30 + 4r
Step-by-step explanation:
Let
Price of admission into the park=$30
Price of every ride in the park=$4
Number of rides =x
Total cost of going to the park= 30+4x
1. How much money would Claire have to pay in total if she goes on 9 rides
Total cost of going to the park= 30+4x
When x=9
=30+4x
= 30 + 4(9)
=30 + 36
=$66
2. How much would she have to pay if she goes on r rides?
When x=r
Total cost of going to the park= 30+4x
= 30 + 4(r)
=30 + 4r
G(f(x))= (7x+8)^4
g(f(x))= (7(0)+8)^4
=(0+8)^4
=8^4
=8•8•8•8
=4,096
Answer:
x = 10
Step-by-step explanation:
Perimeter of a triangle = the sum of the three sides.
In an isosceles the legs are equal (2x - 6) and the base is x
Perimeter = (x) + (2x - 6) + (2x - 6)
38 = 5x - 12
38 + 12 = 5x
50 = 5x

10 = x
Number 4: the slope is 3/4
number 5: y-intercept is 2
Step-by-step explanation:
We have

First, 125 is a perfect cube because

and
x^3 is a perfect cube because

so we can use the difference of cubes identity

Let say we have two perfect cubes:
64 because 8×8×8=64
and 27 because 3×3×3=27 and let subtract

we know that

but using the difference of cubes identity we should get the same thing.
Remeber cube root of 64 is 4 and cube root of 27 is 3 so we have


So the difference of cubes works for real numbers. This is a good way to help remeber the identity using real numbers.
Back on to the topic,
we know that 5 is cube root of 125 and x is the cube root of x^3 so we have

