The third one.
Simply divide one by 40, and add a negative sign.
Answer:
7) 2 hours 30 minutes
8) 5280 yards
9) 65 people
10) 192 cups
11) 74%
12) 15
13) D
HOPE IT HELPS
Step-by-step explanation:
7) 4 miles = 30 minutes
8 miles = 1 hour
12 miles = 1 hour 30 minutes
16 miles = 2 hours
20 miles = 2 hours 30 minutes
8) 1 miles = 1760
2 miles = 3520
3 miles = 5280
9) convert percentage into decimals
25% = .25
260 * .25 = 65
10) 1 gallon = 16 cups
12 x 16 = 192
11) 52:70*100
(52*100):70
5200:70 = 74.29
12) 60% / 100 = .6
.6 x 25 = 15
13) 1 liter = 1000 ml
18.75 x 1000 = 18750
18750 / 8 = 3750
Answer:
![x< -7 ; x\geq9](https://tex.z-dn.net/?f=x%3C%20-7%20%3B%20x%5Cgeq9)
Step-by-step explanation:
You start noticing that for x = 9 g(x) =0, and for x= -7 the function isn't defined.
That splits the number lines in 3 areas: x<-7; -7<x<9, and x>9. (notice the strict inequalities since we already discussed the breaking points.
Let's try a point in each interval, namely, since i like the values, -10, 0, 10.
![g(-10) = \frac{-10-9}{-10+7} =\frac{-19}{-3} >0\\g(0) = \frac{0-9}{0+7}=-\frac{9}{7} 0](https://tex.z-dn.net/?f=g%28-10%29%20%3D%20%5Cfrac%7B-10-9%7D%7B-10%2B7%7D%20%3D%5Cfrac%7B-19%7D%7B-3%7D%20%3E0%5C%5Cg%280%29%20%3D%20%5Cfrac%7B0-9%7D%7B0%2B7%7D%3D-%5Cfrac%7B9%7D%7B7%7D%20%3C0%5C%5Cg%2810%29%20%3D%20%5Cfrac%7B10-9%7D%7B10%2B7%7D%20%3D%20%5Cfrac1%7B17%7D%20%3E0)
We have all the informations we need. The value we need are ![x< -7 ; x\geq9](https://tex.z-dn.net/?f=x%3C%20-7%20%3B%20x%5Cgeq9)
Answer:
Last option
Step-by-step explanation:
Given expression is:
![\sqrt{\frac{128x^5y^6}{2x^7y^5} }](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B128x%5E5y%5E6%7D%7B2x%5E7y%5E5%7D%20%7D)
The terms can be simplified one by one
![=\sqrt{\frac{64x^5y^6}{x^7y^5} }](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%5Cfrac%7B64x%5E5y%5E6%7D%7Bx%5E7y%5E5%7D%20%7D)
As the larger power of x is in numerator, the smaller power will be brought to denominator
![=\sqrt{\frac{64y^6}{x^{(7-5)}y^5}}\\=\sqrt{\frac{64y^6}{x^{2}y^5}}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%5Cfrac%7B64y%5E6%7D%7Bx%5E%7B%287-5%29%7Dy%5E5%7D%7D%5C%5C%3D%5Csqrt%7B%5Cfrac%7B64y%5E6%7D%7Bx%5E%7B2%7Dy%5E5%7D%7D)
Similarly for y,
![=\sqrt{\frac{64y^{(6-5)}}{x^{2}}}\\=\sqrt{\frac{64y}{x^{2}}}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%5Cfrac%7B64y%5E%7B%286-5%29%7D%7D%7Bx%5E%7B2%7D%7D%7D%5C%5C%3D%5Csqrt%7B%5Cfrac%7B64y%7D%7Bx%5E%7B2%7D%7D%7D)
Applying the radical
![\sqrt{\frac{8^2*y}{x^{2}}}\\So\ the\ answer\ will\ be\\= \frac{8\sqrt{y}}{x}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B8%5E2%2Ay%7D%7Bx%5E%7B2%7D%7D%7D%5C%5CSo%5C%20the%5C%20answer%5C%20will%5C%20be%5C%5C%3D%20%5Cfrac%7B8%5Csqrt%7By%7D%7D%7Bx%7D)
So, last option is the correct answer ..