Answer:
2
Step-by-step explanation:
We have to get the value of the expression of - ∛(- 8).
Now, we can write the expression as
- ∛(- 8)
=![-\sqrt[3]{-8}](https://tex.z-dn.net/?f=-%5Csqrt%5B3%5D%7B-8%7D)
= 
{Converting into exponent form}
= ![-[(-2)^{3} ]^{\frac{1 }{3} }](https://tex.z-dn.net/?f=-%5B%28-2%29%5E%7B3%7D%20%5D%5E%7B%5Cfrac%7B1%20%7D%7B3%7D%20%7D)
{Since (- 2) × (- 2) × (- 2) = - 8}
= ![- [(-2)^{3\times \frac{1}{3} } ]](https://tex.z-dn.net/?f=-%20%5B%28-2%29%5E%7B3%5Ctimes%20%5Cfrac%7B1%7D%7B3%7D%20%7D%20%5D)
{Since we know that ![[x^{a}] ^{b} = x^{ab}](https://tex.z-dn.net/?f=%5Bx%5E%7Ba%7D%5D%20%5E%7Bb%7D%20%3D%20x%5E%7Bab%7D)
}
= - [- 2]
= 2 (Answer)
Answer:
Step-by-step explanation:
- (4a² - 36)/(24 - 8a) =
- 4(
a² - 9) /8(3 - a) =
- (
a² - 9) /2(3 - a) =
- (a + 3)(a - 3)/2(3 - a) =
- - (a + 3) (3 - a)/2(3 - a) =
- - (a + 3) / 2
in general, the graph of y = f(x-a) is a shift a units right if a is positive and shift of a units left if a is negative. for example, y = f(x-2) is 2 units right of f(x) and y=f(x+2) is 2 units LEFT.
in general, the graph of y = f(x) + a is a shift a units up if a is postiive and a units down if a is negtaive. For example, y = f(x) + 4 is 4 units up and y=f(x)-4 is a shift of 4 units down.
Note that f(x) = sqrt(x) here, so we have f(x+4) = sqrt(x+4) for 4 units left. Then you do f(x+4) + 6 = sqrt(x+4) + 6 for 6 units up.
Your answer is g(x) = sqrt(x+4) + 6
Answer:
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
<em>In the right triangle ABC</em>
-----> by a 45°-90°-45° triangle
so
substitute the values
<em>In the right triangle BCD</em>
substitute the values
