To find the reciprocal, just switch the numerator and denominator around.
-8b
___
5b-6
Reciprocal:
5b - 6
______
-8b
Answer:
44 feet
If it takes the horse 44 feet per second, and it takes the cheetah 88 feet, the difference is 44.
So, the horse must be 44 feet ahead to be safe. Hope it helps!
Answer:
x = 5, -3
Step-by-step explanation:
2x² - 4x - 5 = 25
add 5 to each side
2x² - 4x = 30
factor out the 2
2(x² - 2x) = 30
divide both sides by 2
x² - 2x = 15
divide b by 2, square it -- (b/2)², and add it to both sides
-2/2 = -1 → -1² = 1
x² - 2x + 1 = 15 + 1
factor the expression on the left -- this will be [x - (b/2)]²
(x - 1)² = 16
find the square root of both sides
x - 1 = ±4
add 1 to both sides
x = 4 + 1
x = -4 + 1
solve
x = 5, -3

Your answer is
$130.90
Note: We multiply by 70/100 because of the 30% discount. 100 - 30 = 70. So we have to multiply by 70%.
Also, we multiply by 105/100 because there is 5% tax. The tax means that we have to pay more which means 100 + 5 = 105.
Hope this helped :D
Y =

x + 3
y = x - 4
Since both equations are equal to y, you can set the two values equal to each other and solve for x.

x + 3 = x - 4 Multiply both sides by 2
x + 6 = 2x - 8 Add x to both sides
6 = 3x - 8 Add 8 to both sides
14 = 3x DIvide both sides by 3
4
= x
Now, plug the x value into one of the original equations, I'll plug it into y = x - 4.
y = x - 4 Plug in the x value
y = 4

- 4 Subtract
y =
x = 4
and
y =