Step-by-step explanation:
I got you,
a) Work...
First equation: y = 4x + 3
Second equation: y = 2x + 11
If he wants to play 2 games...
y = 4 (2) + 3
y = 11
y = 2 (2) + 11
y = 15
<u>Answer for part a: If a customer wants to rent shoes and play two games, they'll pay more with the new price plan. With the current price plan, they'll pay 11 dollars, but with the new price plan, they'll pay 15 dollars.</u>
b) Work...
seven games...
y = 4 (7) + 3
y = 31
y = 2 (7) + 11
y = 25
<u>Answer for part b: If the customer wants to play 7 games, including the shoes, they would pay less using the new plan. If the shes were not included, the new price will still be less. With the shoes, 7 games, with the original plan, is 31 dollars but 25 dollars with the new plan. If they didn't want to rent shoes, they would pay 28 dollars with the original plan but only 14 dollars with the new plan. All in all, they spend less on the new plan anyways.</u>
I hope this helps :)
Answer:
Step-by-step explanation:
Ok, so we start by setting the integral up. The integral we need to solve is:
so according to the instructions of the problem, we need to start by using some substitution. The substitution will be done as follows:
U=5+x
du=dx
x=U-5
so when substituting the integral will look like this:
now we can go ahead and integrate by parts, remember the integration by parts formula looks like this:
so we must define p, q, p' and q':
p=ln U
q'=U-5
and now we plug these into the formula:
Which simplifies to:
Which solves to:
so we can substitute U back, so we get:
and now we can simplify:
notice how all the constants were combined into one big constant C.
5 2/3 = 17/3 = 34/6
8 5/6 = 53/6
34/6 - 53/6 = -19/6 = -3 1/6
Step-by-step explanation:
x² - 2 = 2^(2/3) + 2^(-2/3)
x² = 2^(2/3) + 2 + 2^(-2/3)
x² = (2^(1/3))² + 2 × 2^(1/3) × 2^(-1/3) +
(2^(-1/3))² (It is in the form of a²+2ab+b²)
x² = (2^(1/3) + 2^(-1/3))²
x = 2^(1/3) + 2^(-1/3)
