Answer:
x=4
Step-by-step explanation:
-3x+4x=2*4-x
x=8-x
8=x+x
8=2x
x=8/2
x=4
Answer:
see explanation
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then shift left by a units
• If a < 0 then shift right by a units
Thus g(x) = (x + 3)² is a shift left of 3 units
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then shift up by c units
• If c < 0 then shift down by c units
Thus g(x) = (x + 3)² - 5
represents a 3 unit shift to the left and a shift down of 5 units
Answer:
(1, -1/2)
Step-by-step explanation:
7x - 2y = 8
5x + 2y = 4
I would use elimination to get rid of y
Add the two equations together
7x - 2y = 8
5x + 2y = 4
-------------------------
12x = 12
Divide each side by 12
x =1
Now find y
5x+2y = 4
5*1 +2y =4
Subtract 5 from each side
5+2y -5 = 4-5
2y = -1
Divide by 2
2y/2 =-1/2
y = -1/2
Answer:
Ellen will pay $16.22 for the book.
Step-by-step explanation:
Part 1:
We know that the book Ellen wants to buy has a normal price of $18. However, there is a 15% discount. So, let's calculate 15% of $18.
18 x 0.15 = $2.70
This lets us know that there is a $2.70 discount.
Now, let's subtract the discount from the regular price.
18 - 2.70 = $15.30
So, now we know the discounted price is $15.30
Part 2:
We also know that Ellen has to pay 6% sales tax. The discounted price is 100% of the price, plus 6% is 106%. Let's calculate the tax to figure out the total amount.
15.30 x 1.06 = $16.22 when rounded to the nearest cent.
Therefore, Ellen will pay the total amount of $16.22.
