Find the least common denominator for each of these fractions then complete the equation until it equals 1.
Common factor is 30
u/5 = 6u/30
u/10 = 3u/30
-u/6 = -5u/30
6u/30 + 3u/30 - 5u/30 = 1
4u/30 = 1
4u = 30
u = 7.5
Y = x^2 - 6x + 7
a = 1
b = -6
c = 7
Before you get the A.O.S, you must first solve for the vertex.
The vertex formula is \frac{-b}{2a}
Plug in the numbers:
-(-6) / 2(1)
--6 = 6 and 2*1 = 2
6/2
Vertex (or x) = 3
Now you have to plug in the x in order to find the vertex (or y)
Your equation should now look like this;
y = (3)^2 - 6 (3) +7
Solve each part separately and then add it up...
3^2 = 9
-6 * 3 = -18
+7
9 - 18 + 7
A.O.S (or y) = -2
Answer:
f(x)=30x+100
Step-by-step explanation:
30 for each lawn is the slope .
if Eddie mows zero lawns he still gets $100
he only makes more than $100 based on how many lawns he mows
First find 10%
(1200 divided by 10)
10% = £120
Then add it onto the original amount
£1200 + £120 = £1320
Answer:
g(x)= x+1
Step-by-step explanation:
Given ![f(x)= \sqrt[3]{x+2}](https://tex.z-dn.net/?f=f%28x%29%3D%20%5Csqrt%5B3%5D%7Bx%2B2%7D)
, ![f(x)= \sqrt[3]{x+3}](https://tex.z-dn.net/?f=f%28x%29%3D%20%5Csqrt%5B3%5D%7Bx%2B3%7D)
![f(g(x))= \sqrt[3]{x+3}](https://tex.z-dn.net/?f=f%28g%28x%29%29%3D%20%5Csqrt%5B3%5D%7Bx%2B3%7D)
Replace x with g(x)
![f(g(x))= \sqrt[3]{g(x)+2}](https://tex.z-dn.net/?f=f%28g%28x%29%29%3D%20%5Csqrt%5B3%5D%7Bg%28x%29%2B2%7D)
Now we need to find out what we plug in for g(X) to get x+3 under the radical
g(x) +2 is under the radical. we need x+3 , so we replace g(x) with x+`
So g(x)+2 becomes x+1+2 is x+3
Hence g(x) is x+1
