Answer:
x ≥ 0
Step-by-step explanation:
The absolute value of x+8 equals itself, thus x must be a real number (0 or any positive number).
Answer:
Last option?
Step-by-step explanation:
ax+by=c
4x+6y=60
a=4
b=6
c=60
Answer:
7, 8, 9, 10
Step-by-step explanation:
If Zoe worked 4 hours of babysitting at $7 per hour, she earned $28. Therefore, she must earn another $102 to earn at least $130. At $15 per hour, she must work a minimum of 7 hours clearing tables to make at least $102. This is fine since she can work another 10 hours before reaching her maximum of 14 total hours. Therefore, all possible values for the number of whole hours clearing tables that she must work to meet her requirements are 7, 8, 9, 10.
As long as the number plugged in Times 15 is less than 180, it works
Here are your three values: 1,2,3
Answer:
x = -3.5 or -1
Step-by-step explanation:
Add 7 and factor.
2x^2 +9x +7 = 0
(2x +7)(x +1) = 0
x = -3.5 or x = -1 . . . . . values that make the factors zero
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<em>Comment on factoring</em>
Factoring ax^2 +bx +c = 0 requires you find factors of ac that have a sum of b. Here, you're looking for factors of 2·7 = 14 that have a sum of 9. If you're observant, you realize that 2+7=9, so 2 and 7 are the factors you want.
Now, you can write the factored form as ...
(ax +p)(ax +q)/a = 0 . . . . where p and q are the factors of ac we just found
The divisor "a" is used to simplify one or both of the factors. Here, we have ...
(2x +2)(2x +7)/2 = 0
(x +1)(2x +7) = 0 . . . . . . we removed a factor of 2 from the first binomial
