Answer:
A. 5
B. -5, 5
C. 5, 5
Step-by-step explanation:
A. |-6+(-1)| = 5
B. -6-(-1)=-6+1=-5
-1-(-6)=-1+6=5
C. |-6-(-1)|=|-6+1|=5
|-1-(-6)|=|-1+6|=5
Answer:
y=-1/3x + 33
Step-by-step explanation:
You can start by writing this in point slope form and converting to slope intercept later. Since the slope of the perpendicular line is y=3x-30, this line must have a slope of -1/3. It's point slope form is therefore:
y-25=-1/3(x-24)
Now, you can convert to slope intercept by isolating y:
y=-1/3(x-24)+25
y=-1/3x+8+25
y=-1/3x+33
Hope this helps!
Answer:
It's the third option: (x^2 - 5)(x - 7).
Step-by-step explanation:
x^3 – 7x^2 – 5x + 35
= x^2(x - 7) - 5(x - 7) The (x - 7) is common so we have:
(x^2 - 5)(x - 7).
We can find out he answer to the question by using the information given.
Since we know that Death Valley is the lower of the two spots, we can assume that we can add the difference in elevation to Death Valley to get the elevation of Mt Whitney.
-86+4,504=4,418
Th elevation of Mt Whitney is 4,418 meters above ground.
Hope this helps!
Answer:
The domain of the function is all real values of x, except
and ![x = 2](https://tex.z-dn.net/?f=x%20%3D%202)
Step-by-step explanation:
We are given the following function:
![f(x) = \frac{x+1}{x^2-6x+8}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7Bx%2B1%7D%7Bx%5E2-6x%2B8%7D)
It's a fraction, so the domain is all the real values except those in which the denominator is 0.
Denominator:
Quadratic equation with ![a = 1, b = -6, c = 8](https://tex.z-dn.net/?f=a%20%3D%201%2C%20b%20%3D%20-6%2C%20c%20%3D%208)
Using bhaskara, the denominator is 0 for these following values of x:
![\Delta = (-6)^2 - 4(1)(8) = 36-32 = 4](https://tex.z-dn.net/?f=%5CDelta%20%3D%20%28-6%29%5E2%20-%204%281%29%288%29%20%3D%2036-32%20%3D%204)
![x_{1} = \frac{-(-6) + \sqrt{4}}{2} = 4](https://tex.z-dn.net/?f=x_%7B1%7D%20%3D%20%5Cfrac%7B-%28-6%29%20%2B%20%5Csqrt%7B4%7D%7D%7B2%7D%20%3D%204)
![x_{2} = \frac{-(-6) - \sqrt{4}}{2} = 2](https://tex.z-dn.net/?f=x_%7B2%7D%20%3D%20%5Cfrac%7B-%28-6%29%20-%20%5Csqrt%7B4%7D%7D%7B2%7D%20%3D%202)
The domain of the function is all real values of x, except
and ![x = 2](https://tex.z-dn.net/?f=x%20%3D%202)