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Furkat [3]
3 years ago
5

A small start-up company with 16 employees will select its 4 board members from among the employees. How many different groups o

f board members are possible?
Mathematics
1 answer:
Mashcka [7]3 years ago
5 0
16 divided by 4 is 4
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Write the following sentence as a mathematical statement.
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-4 ≠ -18

The slash across the equal sign changes it to a not equal sign

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(08.01, 8.02 MC) An expression is shown below: 18x3y − 9x2y − 72xy3 + 36y3 Part A: Rewrite the expression so the GCF is factored
vitfil [10]

Answer:

9y(2x - 1)(x - 2y)(x + 2y)

Step-by-step explanation:

Given

18x³y - 9x²y - 72xy³ + 36y³ ← factor out 9y from each term

= 9y(2x³ - x² - 8xy² + 4y²)

Factor the first/second and third/fourth term in the parenthesis

= 9y( x²(2x - 1) - 4y²(2x - 1)) ← factor out (2x - 1) from each term

= 9y(2x - 1)(x² - 4y²)

x² - 4y² is a difference of squares and factors in general as

a² - b² = (a - b)(a + b), thus

x² - 4y²

= x² - (2y)² = (x - 2y)(x + 2y), hence

18x³y - 9x²y + 72xy³ + 36y³

= 9y(2x - 1)(x - 2y)(x + 2y) ← in factored form

7 0
3 years ago
Sound travels about 340m/s the function d(t)=340t gives the distance d(t) in meters that sound travel in t seconds how far does
Lunna [17]

Answer: 10540 meters

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d(t) = 340t

to find how far it travels in 31 seconds, plug 31 into t

d(31) = 340 * 31

d(31) = 10540 meters

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3 years ago
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