Answer:
2(x-3) = y
Step-by-step explanation:
y = 1/2 x +3
To find the inverse, exchange x and y and then solve for y
Exchange x and y
x = 1/2y +3
Then solve for 3
Subtract 3 from each side
x-3 = 1/2 y -3+3
x-3 = 1/2 y
Multiply each side by 2
2 (x-3) = 1/2 *2 y
2(x-3) = y
This is the inverse
Answer:
$180
Step-by-step explanation:
To solve, we can set up a proportion and solve.
You earn $45 for 7.5 hours of work, and you earn $ x for 30 hours of work
45/7.5=x/30
Cross multiply
45*30=7.5*x
1350=7.5x
To solve for x, we need to get x by itself. It is being multiplied by 7.5. To undo this, divide both sides by 7.5
1350/7.5=7.5x/7.5
180=x
So, for 30 hours of work, you would earn $180
Use a let statement
first
let x and x + 2 be the number so you write it like this
<u>let x = the first consecutive integer
</u><u>let x + 2 = the second consecutive integer
</u>
second
x(x+2)=323
x^2 + 2x = 323
-323 -323
x^2 + 2x -323 = 0
third
try to factor -323 so it is 19 and -17
(x + 19) (x - 17) = 0
x = 19
x = -17
hope this help
Answer:
Both add up to 180 degrees
x = 12 , y = 18 (12, 18) is the solution, intersection of the two lines.