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3 years ago

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Which counting rule would you use to determine total seating arrangements for a group of 8 people at a table with 6 chairs? Sele

ct one: a. Permutation b. Combination c. Can not be determined with information given

1 answer:

Stolb23 [73]3 years ago

5 0

To determine the number of possible arrangements for 6 out of 8, we should use combinations. That is
ₐC₆ = 8!/(6!2!)

Answer: b. Combination

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Prove the polynomial identity.

Kaylis [27]

Answer:

Proven

Step-by-step explanation:

We prove the polynomial with factorization. We must first simplify the expression before we can factorize:

$(4\cdot{x^2}-2)\cdot{(4\cdot{x^2}-2)}-16\cdot{x^4}$

$16\cdot{x^4}-8\cdot{x^2}-8\cdot{x^2}+4-16\cdot{x^4}$

$4-16\cdot{x^2}$

4 is the common number and we can take it out of the expression:

$4\cdot{(1-4\cdot{x^2})}$

We can factorize further with the x term being zero. For this to be true we must have -2x and 2x to cancel out and therefore the expression is proven:

$4\cdot{(1-2\cdot{x})}\cdot{(1+2\cdot{x})}$

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3 years ago

Write a verbal description for each algebraic expression 100-5n

Reika [66]

Step-by-step explanation:

One hundred minus five n

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3 years ago

The coordinates of △ABC are as follows: A(0,0); B(0,8); C(6,7). Find the coordinates of the centroid

ra1l [238]

Answer:

centroid is (2,5)

Step-by-step explanation:

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3 years ago

A. 3 <br>B. 10<br>C. 20<br>D. 30

Dahasolnce [82]

<u>Answer:</u>

<h2>D. 30</h2>

<u>Explanation:</u>

292/100×9.9 = 2.92×9.9 = <u>28.908</u>

30 is closest to 28.908

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2 years ago

I need help please with this 1 problem

Lyrx [107]

Answer:

See below, please

Step-by-step explanation:

We know

$f(x) = {x}^{2} + 3x - 7$

$g(x) = 3x + 5$

$h(x) = 2 {x}^{2} - 4$

Hence

$f(g(x))$

$= {(3x + 5)}^{2} + 3 \times (3x + 5) - 7$

$= (9 {x}^{2} + 30x + 25) + (9x + 15) - 7$

$= 9 {x}^{2} + 39x + 33$

$h(g(x))$

$= 2 \times {(3x + 5)}^{2} - 4$

$2 \times (9 {x}^{2} + 30x + 25) - 4$

$= 18 {x}^{2} + 60x + 50 - 4$

$= 18 {x}^{2} + 60x + 46$

$(h - f)(x)$

$= h(x) - f(x)$

$= (2 {x}^{2} - 4) - ( {x}^{2} + 3x - 7)$

$= {x}^{2} - 3x + 3$

$(f + g)(x)$

$= f(x) + g(x)$

$= ( {x}^{2} + 3x - 7) + (3x + 5)$

$= {x}^{2} + 6x - 2$

5 0

2 years ago