Answer: \frac{n^3-5n^2-3n-27}{n^2-8n-9}
Step-by-step explanation: enter this into a fraction calculator to see what is really is. sorry i needed to put this in a fraction calculator to put it here, i wish i couldve written it normally :(
x = 2
<em>right</em><em> </em><em>option</em><em> </em><em>is</em><em> </em>(E).
Step-by-step explanation:
f(x) = x³ - 3x² + 12 in interval [-2, 4]
{taking f'(x) by doing derivative of f(x)}
f'(x) = 3x² - 6x
.•. f'(x) = 0
0 = 3x² - 6x
0 = 3x(x - 2)
0 = x - 2
x = 2
Answer:
B. 21x + 40 ≤ 124
Step-by-step Explanation:
Maximum amount budgeted = $124 (this means they can't spend more than this)
x = number of people
Cost per head = $21
Given that Mr Walter already spent $40, which is part of the money budgeted, the number of people that can go canoeing cam be expressed with the following inequality:
21x + 40 ≤ 124
(note: the amount total to be spent will either be equal to or greater than $124, because it's the maximum amount budgeted for spending).
The Pythagorean theorem computed shows that the length of the guy wire, to the nearest foot, is 207 ft.
<h3>How to solve the length?</h3>
Here, we have two similar right triangles, ΔABE and ΔCDE.
CD = 11 ft
DE = 2 ft
BD = 35 ft
First, find AB:
AB/11 = (35 + 2)/2
AB/11 = 37/2
Cross multiply
AB = (37 × 11)/2
AB = 203.5 ft
Then, apply Pythagorean Theorem to find AE:
AE = √(AB² + BE²)
AE = √(203.5² + 37²)
AE = 207 ft
Therefore, the length of the guy wire is 207 ft.
Learn more about Pythagorean theorem on:
brainly.com/question/654982
