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matrenka [14]
3 years ago
8

Raymond would like to go to rebounders trampoline center. The total cost , c, for every hour spent boucing, h, is representing b

y the equation c= 6h + 15. How much would it cost Raymond if he spent 3 hours at the trampoline center?
Mathematics
1 answer:
aksik [14]3 years ago
8 0

Answer:

$33

Step-by-step explanation:

C = 6(3) + 15

C = 18 + 15

C = 33

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Can you please help me with this question with the steps? <br> 8a^3 -2a^2+ 12a-3
KATRIN_1 [288]

I'm assuming you want to simplify the expression since it's not equal to anything.. you can't solve for "a" unless it's equal to something.

factor

8a³ - 2a²+ 12a - 3

2a²(4a - 1) + 3(4a -1)

 (4a - 1) is a like term that can be combined further.

(2a² + 3)(4a - 1)


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3 years ago
Two princesses, Nat and Kat, are gifted with a savings account from their royal parents, Matt and Pat, when they turn 5 years ol
Arte-miy333 [17]

Answers and Step-by-step explanations:

(a) We want to find the slope-intercept equation (y = mx + b), where m is the slope and b is the y-intercept. We already have two points: (2, 6200) and (7, 21200). The slope is change in y over change in x so:

m = (21200 - 6200) / (7 - 2) = 3000

Now, we have y = 3000x + b. Plug in 6200 for y and 2 for x to solve for b:

y = 3000x + b

6200 = 3000 * 2 + b

b = 200

Nat's equation is y = 3000t + 200.

(b) We want a quadratic formula in vertex form because the problem says that Kat's account maxes out at 44100 on her 25th birthday, indicating that's the vertex. Our vertex point is (20, 44100); note that it's 20 and not 25 because she starts the account at age 5, not age 0. The generic vertex form of a quadratic is:

y = a(x - h)² + k, where (h, k) is the vertex

Plug in our vertex:

y = a(x - 20)² + 44100

We also have the point (9, 32000), so put that in to find a:

32000 = a(9 - 20)² + 44100

-12100 = a * 121

a = -100

So Kat's equation is y = -100(t - 20)² + 44100.

(c) In order to find the age when they have the same amount, we set the two equations equal:

3000t + 200 = -100(t - 20)² + 44100

-100(t² - 40t + 400) + 44100 = 3000t + 200

-100t² + 4000t - 40000 + 44100 - 3000t - 200 = 0

-100t² + 1000t + 3900 = 0

t² - 10t - 39 = 0

(t - 13)(t + 3) = 0

t = 13 or t = -3   --   obviously, years can't be negative, so t = 13.

Note, however, that t is the number of years <em>after</em> Kat and Nat are 5, so we need to add 13 to 5:

13 + 5 = 18

The age is 18.

4 0
3 years ago
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Step-by-step explanation:

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