To solve this problem:
You have the following expression given in the problem above: 7∛(2x)-3∛(16x)-3∛(8x)
When you simplify it, you obtain the following form:
(∛x)(∛2)-(6∛x)
When you factor ∛x, you obtain:
∛x(∛2-6)
Therefore, as you can see, the answer is: ∛x(∛2-6)
Answer:
5/4
Step-by-step explanation:
(y2 - y1) / (x2 - x1)
(-9 + 14) / (7 - 3)
5/4
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:
10 cm
Step-by-step explanation:
The diagonal d divides the rectangle into 2 right triangles with legs 8 and 6 and hypotenuse d
Using Pythagoras' identity in one of the right triangles, then
d² = 8² + 6² = 64 + 36 = 100 ( take square root of both sides )
d =
= 10 cm
Answer:
756.24
Step-by-step explanation:
6302 x 0.120 = 756.24