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:
7x - 3)
Step-by-step explanation:
Given
3x - 7 + 2(2x - 7) ← distribute parenthesis
= 3x - 7 + 4x - 14 ← collect like terms
= 7x - 21 ← factor out 7 from each term
= 7(x - 3)
It occurred in July 9, 1958. It occurred in Lituya Bay, Alaska.
Shelters found for dogs = 12,308
Shelters found for cats = 7,953
Total number of shelters found
= Shelters found for dogs + Shelters found for cats
= 12,308 + 7,953
= 20,261 shelters
Therefore, the total number of shelter found for both dogs and cats last year is 20,261 shelters
We are asked to sum the two trinomials

. We can start by using the distributive property to remove the parenthesis, giving us

. Next, when we combine like terms, we get

. Hope this helped!