Answer:
m = - 8 ± 6![\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D)
Step-by-step explanation:
Given
m² + 16m - 8 = 0 ( add 8 to both sides )
m² + 16m = 8
To complete the square
add ( half the coefficient of the m- term )² to both sides
m² + 2(8)m + 64 = 8 + 64
(m + 8)² = 72 ( take the square root of both sides )
m + 8 = ±
= ±
= ± 6![\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D)
Subtract 8 from both sides
m = - 8 ± 6![\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D)
The answer to question one would be "D" y<-3
For question two the answer would be "C" x<5
Hope that helps!
Answer:
73 packs
Step-by-step explanation:
Find how many packs she has to buy by dividing 290 by 4, since each pack has 4 yogurts.
290/4
= 72.5
Since we need a whole number answer, round this up:
72.5
= 73
So, Libby will need to buy 73 packs
Using it's concept, it is found that the domain for the expressions is, respectively, given by:
![x \neq 0, x \neq 0, (-\infty, \infty), (-\infty, \infty), x \neq 2](https://tex.z-dn.net/?f=x%20%5Cneq%200%2C%20x%20%5Cneq%200%2C%20%28-%5Cinfty%2C%20%5Cinfty%29%2C%20%28-%5Cinfty%2C%20%5Cinfty%29%2C%20x%20%5Cneq%202)
<h3>What is the domain of a function?</h3>
It is the <u>set that contains all possible input values</u>.
In a fraction, the denominator cannot be zero, hence:
- The domain of the first two expressions is of
.
- The domain of the last expression is of
.
The third expression can be simplified, as:
(x + 5)/(x + 5) = 1.
The same is true for the fourth, as:
x²/x = 1.
Neither has any restriction, hence their domain is all real numbers, represented by
.
More can be learned about the domain of a function at brainly.com/question/25897115
Answer:
yes you hrlp me thank you so much