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Serjik [45]
3 years ago
8

Solve -9-8(1+4h)=-17

Mathematics
2 answers:
OlgaM077 [116]3 years ago
6 0
Hi Jeannie

-9-8(1+4h) = -17
First, we need to distribute
-9 +(-8)(1) +(-8)(4h) = -17
-9 -8 - 32h = -17
-17 - 32h = -17
-32h = -17 + 17
-32h = 0
h = 0/-32
h = 0


I hope that's help ! 

Mariulka [41]3 years ago
5 0
-9-8(1+4h) = -17. We need to solve for h.
First, use the distributive property for 8(1+4h):
8(1+4h) = 8*1 + 8*4h = 8 + 32h

So -9-8(1+4h) = -17
-9 - (8+32h) = -17
-9 - 8 - 32h = -17
-17 - 32h = - 17
Add 17 on both sides to have the variables on a side and the numbers on the other:
-17 - 32h + 17 = -17 + 17
-32h = 0
divide both sides by -32 to get the variable h alone and its value on the other side:
(-32h)/-32 = 0/-32
h = 0.

So -9-8(1+4h) = -17 for h = 0.

You can recheck your answer (very important):
-9 - 8(1+4h) = -9 -8(1+4*0) = -9 - 8(1+0) = -9-8*1 = -9-8 = -17
The answer has been approved.

Hope this Helps! :)
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Answer:

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Step-by-step explanation:

The missing function is:

f(x) = x/10  

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<em> a. A customer earns 1 free night per 10 nights stayed.  </em>

<em> b. A customer starts with 1 free night and then earns another free night after every 10 nights stayed. </em>

<em> c.A customer earns x – 10 free nights for every 10 nights stayed.  </em>

<em> d. A customer earns 10 free nights after x number of nights stayed. </em>

The function means that after a customer stayed 10 nights, a free night is earned. That is, replacing x = 10 into the function, we get:

f(10) = 10/10  = 1

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The polynomial is <span>f(x)=x</span>³<span>-10x</span>²<span>+27x-12
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Read 2 more answers
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Answer:

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c. 252

Step-by-step explanation:

First take into account the concept of combination and permutation:

In the permutation the order is important and it is signed as follows:

P (n, r) = n! / (n - r)!

In the combination the order is NOT important and is signed as follows:

C (n, r) = n! / r! (n - r)!

Now, to start with part a, which corresponds to a combination because the order here is not important. Thus

 n = 10

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C (10, 2) = 10! / 2! * (10-2)! = 10! / (2! * 8!) = 45

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Part b, would also be a combination, defined as follows

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Therefore, several cases must be made:

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C (10, 1) = 10! / 1! * (10-1)! = 10! / (1! * 9!) = 10

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The sum of all these scenarios would give us the number of possible total scenarios:

1 + 10 + 45 + 120 = 176 possible total scenarios.

part c, also corresponds to a combination, and to be equal it must be divided by two since the coin is thrown 10 times, it would be 10/2 = 5, that is our r = 5

Knowing this, the combination formula is applied:

C (10, 5) = 10! / 5! * (10-5)! = 10! / (2! * 5!) = 252

252 possible scenarios to be the same amount of heads and tails.

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Step-by-step explanation:

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