Answer:
the answer would be 6x^2(x+6)(x-2)
Step-by-step explanation:
6x^4 + 24x^3-72x^2
= 6x^2(x^2+4x-12)
= 6x^2(x+6)(x-2)
For the area of the deck to be doubled, he should increase each dimension by 3.
<h3>How to find the dimension increase to double the area?</h3>
The deck is 4 feet by 21 feet.
She wants to increase each dimension by equal lengths so that its area is doubled.
Therefore,
initial area = 4 × 21 = 84 ft²
Hence,
The increase by equal length
width = x + 4
length = x + 21
area = 2(84) = 168 ft²
Therefore,
(x + 4)(x + 21) = 168
x² + 21x + 4x + 84 = 168
x² + 25x + 84 = 168
x² + 25x + 84 - 168 = 0
x² + 25x - 84 = 0
(x + 28) • (x - 3) = 0
x = -28 or 3
It can only be positive.
Therefore, she should increase each dimension by 3.
learn more on area here: brainly.com/question/23640960
#SPJ1
Answer:
Step-by-step explanation:
a
Answer:
Yes, it's correct. Is that what you were asking for, or is there a part of the question that is missing?
Step-by-step explanation:
Answer:
0.0008
Step-by-step explanation:
The formula for a hypergeometric probability is

where N is the population, A is the number of objects of type A, B is the number of objects of type B, n is the sample size and x is the number of successes.
In this problem, N is 13. A is 5, since there are 5 objects drawn, and B is 8, since there are 8 remaining objects.
The sample size, n, is 5, and x is 5:
