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jeka57 [31]
3 years ago
11

(3k - 6)(5k² + 7k - 4) *

Mathematics
1 answer:
pashok25 [27]3 years ago
8 0

Answer:

15k³ - 9k² - 54k + 24

Step-by-step explanation:

(3k - 6)(5k² + 7k - 4)

distribute parentheses

= 3k * 5k² + 3k * 7k + 3k(-4) + (-6) * 5k² + (-6) * 7k + (-6)(-4)

apply minus - plus rules: + (-a) = -a, (-a)(-b) = ab

= 3 * 5k²k + 3 * 7kk - 3 * 4k - 6 * 5k² - 6 * 7k + 6 * 4

simplify: 3 * 5k²k + 3 * 7kk - 3 * 4k -6 * 5k² - 6 * 7k + 6 * 4:

= 15k³ - 9k² - 54k + 24

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BINOMCDF on calculator question
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3 years ago
A circular pool measures 10 feet across. one cubic yard of concrete is to be used to create a circular border of uniform width a
mina [271]

we know that

1 ft is equal to 12 in

1 cubic yard is equal to 27 cubic​ feet

Step 1

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Let

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we know that

The diameter of the circular pool measures 10 feet

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the area of the circular border is equal to

A=\pi *(5+x)^{2}- \pi *5^{2} \\A= \pi *[(x+5) ^{2}-5^{2} ] \\ A= \pi * [x^{2} +10x]

step 2

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V=27 ft^{3} -------> equation 1

the depth is equal to 4 in-------> convert to ft

depth=4/12=(1/3) ft

volume of the concrete to be used to create a circular border is also equal to

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using a graph tool------> to resolve the second order equation

see the attached figure

the solution is the point

x=2.126 ft

therefore

<u>the answer is</u>

The uniform width around the circular pool border is 2.126 ft

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