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AveGali [126]
3 years ago
14

Can someone please help me out with this question?

Mathematics
1 answer:
VMariaS [17]3 years ago
8 0

Answer:

10x³ + 12x² - 198x - 40

Step-by-step explanation:

Given parameters:

L(x) = 5x + 1

W(x) = 2x - 8

H(x)  = x + 5

Unknown:

Volume = ?

Solution:

The volume of the body;

      Volume  = L x W x H

Insert the parameters and solve;

      Volume  = (5x + 1)(2x - 8)(x + 5)

     Volume  = (10x² - 40x + 2x - 8)(x + 5)

     Volume = (10x² - 38x - 8 )(x + 5)

     Volume  = 10x³ - 38x² - 8x + 50x² - 190x - 40

     Volume  = 10x³ -38x² + 50x² - 8x - 190x - 40

    Volume  = 10x³ + 12x² - 198x - 40

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Which value of P and Q result in an equation with no solutions? 83x+P=83x+Q
alekssr [168]

There is no number I can think of that would make the statement untrue.

The result of this when you subtract 83x from both sides leaves you with P = Q.

Unless you know differently, the equation says that P must equal Q no matter what x is. If there is such a condition, it is not obvious.

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3 years ago
Family Video charges $10 for
Irina18 [472]

Answer:

4 movies, $20

Step-by-step explanation:

Given data

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charges $10 for a monthly membership and

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let the number of movies be x

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y= 10+2.5x----------1

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charges a $12

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let the number of movies be x

and the charge for x movies be y

y= 12+2x----------2

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10+2.5x= 12+2x

collect like terms

12-10= 2.5x-2x

2= 0.5x

x= 2/0.5

x= 4 movies

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y= 12+2x----------2

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4 0
3 years ago
An English teacher needs to pick 9 books to put on his reading list for the next school year, and he needs to plan the order in
Nikitich [7]

Answer:   4.37\times10^3

Step-by-step explanation:

Given : Number of choices for novels = 4

Number of choices for plays = 6

Number of choices for poetry books = 5

Number of choices for nonfiction books = 5

Total books =4+6+5+5=20

If he wants to include all 4 novels, then the number of books left to select = 9-4=5

Remaining choices for books = 20-4=16

Number of combinations of n things taking r at a time : \dfrac{n!}{r!(n-r)!}

Then, the number of different reading schedules are possible :_

^4C_4\times^{16}C_5\\\\=\dfrac{4!}{4!(4-4)!}\times\dfrac{16!}{5!(16-5)!}\\\\=(1)\times\dfrac{16\times15\times14\times13\times12\times11!}{120\times11!}\\\\=4368=4.368\times10^3\approx4.37\times10^3

Hence, the required answer is 4.37\times10^3.

8 0
3 years ago
Suppose you have a ​$8-off coupon at a fabric store. You buy fabric that costs ​$7.50 per yard. Write an equation that models th
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Answer:

= 7.5x-8

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Total cost = cost per yard * yard of fabric - coupon

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y = 7.5x-8

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