Answer:
Y= 2(x+ 3/2)² - 17/2
Step-by-step explanation:
you're welcome :)
Answer:
Simplifying
x + 5 = 9x2 + x + 1
Reorder the terms:
5 + x = 9x2 + x + 1
Reorder the terms:
5 + x = 1 + x + 9x2
Add '-1x' to each side of the equation.
5 + x + -1x = 1 + x + -1x + 9x2
Combine like terms: x + -1x = 0
5 + 0 = 1 + x + -1x + 9x2
5 = 1 + x + -1x + 9x2
Combine like terms: x + -1x = 0
5 = 1 + 0 + 9x2
5 = 1 + 9x2
Solving
5 = 1 + 9x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9x2' to each side of the equation.
5 + -9x2 = 1 + 9x2 + -9x2
Combine like terms: 9x2 + -9x2 = 0
5 + -9x2 = 1 + 0
5 + -9x2 = 1
Add '-5' to each side of the equation.
5 + -5 + -9x2 = 1 + -5
Combine like terms: 5 + -5 = 0
0 + -9x2 = 1 + -5
-9x2 = 1 + -5
Combine like terms: 1 + -5 = -4
-9x2 = -4
Divide each side by '-9'.
x2 = 0.4444444444
Simplifying
x2 = 0.4444444444
Take the square root of each side:
x = {-0.666666667, 0.666666667}
Step-by-step explanation:
Answer:
video game: $29.50
DVD: $10
Step-by-step explanation:
Let d = price of one DVD, and let v = price of 1 video game.
"A bundle of two video games and three DVDS can be purchased for $89.00."
2v + 3d = 89
"A bundle of one video game and two DVDS can be purchased for $49.50."
v + 2d = 49.5
We have two equations in two unknowns, so we can solve them as a system of 2 equations.
2v + 3d = 89
v + 2d = 49.5
Rewrite the first equation.
Multiply both sides of the second equation by -2 and write it below the first equation.
Add the equations.
2v + 3d = 89
(+) -2v - 4d = -99
---------------------------
-d = -10
d = 10
Now we substitute 10 for d in the second original equation and solve for v.
v + 2d = 49.5
v + 2(10) = 49.5
v + 20 = 49.5
v = 29.5
Answer: video game: $29.50; DVD: $10
16x-8x-12=24+20
Combine like terms.
8x -12 = 44
Add 12.
8x = 56
Divide by 8.
x = 7
That's your answer!
Answer:
it c
Step-by-step explanation:
