Answer: Then m = 10<span>°</span>
Question: An aquarium is on sale for $59.50. If this price represents a 15% discount from the original price, what is the original price?
First, you multiply the sale price and the 15% discount
![$59.50*.15 = [tex]$8.92](https://tex.z-dn.net/?f=%2459.50%2A.15%20%3D%20%5Btex%5D%248.92)
[/tex] (To change the percent to a decimal, you take out the percentage sign and divide by 100)
Now add $59.50 to $8.92
Answer:
$68.43 (when rounded to the nearest cent)
or
$68 (when rounded to the nearest dollar)
or
$70 (when rounded to the nearest ten dollar)
Y = 2x/x-7
x = 2y/y-7
xy - 7x = 2y
-7x = 2y - xy
-7x = y(2-x)
y = -7x / 2-x
y = 7x / x-2
f-¹(x) = 7x / x-2
Answer:
(x + 1)² = 7
Step-by-step explanation:
Given:
-2x = x² - 6
We'll start by rearranging it to solve for zero:
x² + 2x - 6 = 0
The first term is already a perfect square so that's fine. Normally, if that term had a non-square coefficient, you would need to multiply all terms a value that would change that constant to a perfect square.
Because it's already square (1), we can simply move to the next step, separating the -6 into a value that can be doubled to give us the 2, the coefficient of the second term. That value will of course be 1, giving us:
x² + 2x + 1 - 1 - 6 = 0
Now can group our perfect square on the left and our constants on the right:
x² + 2x + 1 - 7= 0
x² + 2x + 1 = 7
(x + 1)² = 7
To check our answer, we can solve for x:
x + 1 = ± √7
x = -1 ± √7
x ≈ 1.65, -3.65
Let's try one of those in the original equation:
-2x = x² - 6
-2(1.65) = 1.65² - 6
- 3.3 = 2.72 - 6
-3.3 = -3.28
Good. Given our rounding that difference of 2/100 is acceptable, so the answer is correct.
The fraction is written as 3/4.
If you divide 3 by 4 you will get the decimal.
