Answer:
See explanations below
Step-by-step explanation:
Given the system of equation
2x - 10 y = -30 ... 1
x - 5y = 20 ... 2
Step: From 2;
x = 20 + 5y ...3
Step 2: Substitute equation 3 into 1
2x - 10y = -30
2(5y+20) - 10y = -30
Open the bracket
10y + 40 - 10y = -30
10y - 10y + 40 = -30
0+40 = -30
40 = -30
The steps taken by Teri are correct all through. He didn't make any error whatsoever
Ok, so you knnow that for angles to be supplement, they need to equal 180 degrees. So you can create an equation as follows:
(3 times X minus 12) degrees plus (x)degrees equals 180 degrees
(3x-12) + (x)=180
4x-12=180
4x=192
x=48
So now you plug in "x=48" into this equation (3x-12) to find the measure of the angle.
And if I did the math correctly, the answer should be "132" degrees.
You can combine the same numbers with the same variables using the operation sign for each. For example, using your equation, you would combine the 3n and 4n which is 7n. So your equation would be
7n - 2
Answer:
40%
Step-by-step explanation:
12 divided by 30 will give you 0.4
Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.
<h3>Inverse of functions</h3>
In order to determine if the function f(x) and g(x) are inverses of each other, the composite function f(g(x)) = g(f(x))
Given the function
f(x)= 5-3x/2 and
g(x)= 5-2x/3
f(g(x)) = f(5-2x/3)
Substitute
f(g(x)) = 5-3(5-2x)/3)/2
f(g(x)) = (5-5+2x)/2
f(g(x)) = 2x/2
f(g(x)) = x
Similarly
g(f(x)) = 5-2(5-3x/2)/3
g(f(x)) = 5-5+3x/3
g(f(x)) = 3x/3
g(f(x)) =x
Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.
Learn more on inverse of a function here: brainly.com/question/19859934
#SPJ1
