The GCF is 2
If you factor it out you get 2(18x-1)
The answer is 34,020. I hope that this helps.
3. g(x) = (x+2)/ |x+2| the denominator cannot be 0
|x+2| cannot be 0
x cannot equal -2
Domain all real numbers but -2
g(-1) = (-1+2)/ |-1+2| = 1/|1| = 1
4. h(x) = (x-4)/(x^2+5x-36)
factor the denominator
h(x) = (x-4)/(x+9) (x-4) the denominator cannot be zero do not cancel, this is a hole
x+9 cannot equal zero so x cannot equal -9
x-4 cannot equal 0 so x cannot equal 4
Domain all real numbers but -9 and 4
h(-1) = (-1-4)/((-1)^2+5(-1)-36) = -5/(1-5-36) = -5/-40 = 1/8
Answer:
The average rate of change of f(x) over the interval 1 ≤ x ≤ 4 is -1.
Step-by-step explanation:
We are given the function:

And we want to determine its average rate of change over the interval:

The average rate of change is synonymous with the slope. So, to find the average rate of change, we simply need to find the slope between the two endpoints.
Evaluate each endpoint:


So, our endpoints are (1, -1) and (4, -4).
The slope between them is:

So, the average rate of change of <em>f(x)</em> over the interval 1 ≤ <em>x</em> ≤ 4 is -1.
Answer:
The three angles are 84º, 30º, and 66º. You multiply the ratio 14:5:11 by 6º.
Step-by-step explanation:
The sum of a triangle's interior angles is 180º. From the information we know:
- 14xº+5xº+11xº=180º
- Combine like terms, 30xº=180º
- Divide, xº=6º
Now we can say that the three angles are 14(6)=84º, 5(6)=30º, 11(6)=66º.