8n - 27≤ -n + 18
8n ≤ -n +18 +27
9n ≤ 45
n≤5
the quotient will be:
![(f/g)(x) = \frac{|x + 20|}{x + 1}](https://tex.z-dn.net/?f=%28f%2Fg%29%28x%29%20%3D%20%5Cfrac%7B%7Cx%20%2B%2020%7C%7D%7Bx%20%2B%201%7D)
with x ≠ -1
<h3>
How to get the quotient of functions?</h3>
For two functions f(x) and g(x), the quotient:
(f/g)(x) is equal to f(x)/g(x).
Here we have:
![f(x) = |x + 20|\\\\g(x) = x + 1](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%7Cx%20%2B%2020%7C%5C%5C%5C%5Cg%28x%29%20%3D%20x%20%2B%201)
Taking the quotient, we get:
![(f/g)(x) = \frac{|x + 20|}{x + 1}](https://tex.z-dn.net/?f=%28f%2Fg%29%28x%29%20%3D%20%5Cfrac%7B%7Cx%20%2B%2020%7C%7D%7Bx%20%2B%201%7D)
Where we also need to add the restriction that x must be different than -1, as we can divide by zero.
If you want to learn more about rational functions:
brainly.com/question/1851758
#SPJ1
Answer:
Option A) (6, 0)
Step-by-step explanation:
we have
![3x-2y\geq -6](https://tex.z-dn.net/?f=3x-2y%5Cgeq%20-6)
Isolate the variable y
![-2y\geq -3x-6](https://tex.z-dn.net/?f=-2y%5Cgeq%20-3x-6)
Divide by -2 both sides
Remember that when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol
so
![y\leq1.5x+3](https://tex.z-dn.net/?f=y%5Cleq1.5x%2B3)
The solution of the inequality is the shaded area below the solid line
we know that
If a ordered pair is a solution of the inequality, then the ordered pair must lie in the shaded area of the solution set
so
(6,0) ----> belong to the shaded area
(-6,0) ---> not belong to the shaded area
(1,6) --> not belong to the shaded area
(-1,6) --> not belong to the shaded area
therefore
(6,0) is in the solution set
Answer:
See below
Step-by-step explanation:
You know that he spent 1/3 of his earnings, and then 1/4. After this, he has $28.90. You can write the equation like this:
1/4(x * 1/3) = $28.90.
If you need to solve it:
1/4 * 1/3x = 28.90
1/12x = 28.90
x = 346.80
Answer:
point slope form:
y - 3 = -4/3(x- (-1))
slope intercept form:
y = -4/3x + 13/3
Step-by-step explanation:
So if the points are (7, -4) and (-1,3) then we can use those points to figure out the slope.
y2-y1/x2-x1 is the forumla for the slope
3-7/ -1 - (-4) --> -4/-1+4 --> -4/3
point slope form:
y - y1 = m(x-x1) ~ you can choose either of the two points to use, you should get the same answer
y - 3 = -4/3(x- (-1))
y - 3 = -4/3x+4/3
add 3 to both sides
y = -4/3x + 13/3 ~ slope intercept form