Answer:
x ∈ [-2, 7]
Step-by-step explanation:
The given equation ...
x^2 -5x -4 ≤ 10
can be rewritten as ...
x^2 -5x -14 ≤ 0
and factored as ...
(x +2)(x -7) ≤ 0
Clearly, the "or equal to" condition will be met when x=-2 and x=7. For values of x between these numbers, one factor is negative and the other is positive. Hence the product will be negative. So, numbers in that interval are the solution set.
x ∈ [-2, 7]
Answer:
-3
Step-by-step explanation:
We want (n/p)(1). We can obtain this by finding n(1) and p(1) and then dividing as indicated:
p(1) = 3(1) - 2 = 1
n(1) = 2(1) - 5 = -3
Then (n/p) (1) = -3/1, or just -3
<span>length = 7x
</span><span>width = 2x
2(7x + 2x) = 72
7x + 2x = 72/2
9x = 36
x = 36/9
x = 4
</span>
width = 2x = 2 * 4 = 8 units<span>
</span>
Answer:
75°
Step-by-step explanation:
Since the 2 angles are supplementary and TC is a perpendicular bisector, we know that m∠ATC is 90°
All we need to do is simply subtract 15° from 90° to find m∠ATB:
90 - 15 = 75°
Answer: The limit does not exist.
Please, see the attached file.
Thanks.