Step-by-step explanation:
2(x - 7) = 3(x + 9)
2x - 14 = 3x + 27
2x - 3x = 27 + 14
-x = 41
x = - 41
Let the original price of the sweater be = X
Then the amount Jerome pays for the sweater after 20% discount = X - (20X/100)
= X - 0.2X
= 0.8X
Now on this price the 8.25% tax needs to be added to get to the amount actually paid by Jerome.
So,
0.8X + [(8.25/100) * (0.8X) = 25.1
This is the equation from which the actual price of the sweater bought by Jerome can be determined.
So
0.8X + [(.0825) * ( 0.8X) = 25.1
0.8X + 0.066X = 25.1
0.866X = 25.1
X = 25.1/0.866
= 28.98
So the actual price of the sweater is $28.98.
Answer:
f(x)=|x−13|+11
To find the x
coordinate of the vertex, set the inside of the absolute value x−13 equal to 0. In this case, x−13=0
.
x−13=0
Add 13
to both sides of the equation.
x=13
Replace the variable x
with 13
in the expression.
y=|(13)−13|+11
Simplify |(13)−13|+11
.The absolute value vertex is (13,11)
hope this helps ;)
Here's a way to do it.
Let 4e +2 = 5n +1 . . . . . . for some integer n
Then e = (5n -1)/4 = n + (n -1)/4
We want (n-1)/4 to be an integer, so let it be integer m.
... m = (n -1)/4
... 4m = n -1
... 4m +1 = n
Substituting this into our expression for e gives
... e = (5(4m+1) -1)/4 = (20m +4)/4 = 5m +1
e = 5m+1 for any integer m
