Hi there!
To solve this problem, we need to simplify.
2/3x = 12
To isolate x, we should multiply both sides of the equation by the reciprocal of 2/3 to make x equal to a value:
Reciprocal of 2/3 = 3/2
x = 12 * 3/2
x = 18
Hope this helps!
Answer:
Step-by-step explanation:
We have been given that
We can use the formula for difference of cubes to simplify the function f(x)
difference of cubes - 
And g(x) can be written as
Thus, we have
On cancelling the common factors, we get
Answer:
D. 81
Step-by-step explanation:
Raise
3
to the power of
4
.
81
=
x
Rewrite the equation as
x
=
81
.
x
=
81
If I use the gym for x hours in a month, the total cost in terms of x will be 1000 + x.
a. Monthly membership fee = $100
Additional amount charged = $1 per hour.
If I use the gym for x hours in a month, the total cost in terms of x will be:
= 1000 + 1(x)
= 1000 + x
b. Also, if the amount charged is $35 per month and $3.50 per hour, the total cost will be:
= 35 + 3.50(x)
= 35 + 3.5x
c. The number of hours that will give same cost will be:
1000 + x = 35 + 3.5x
Collect like terms.
1000 - 35 = 3.5x - x
965 = 2.5x
x = 965/2.5
x = 386
In 386 hours, the total cost will be the same.
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