Answer:
y=3(x+2)^2+5
Step-by-step explanation:
The vertex is (p, q) where the "p" value is the x-coordinate of the vertex and the "q" is the y-coordinate of the vertex.
Given the vertex (-2, 5) the "p" here is -2 and "q" here is 5, so plugging into the vertex form we get y=3(x+2)^2+5
8 is the answer because you count up from the lower number
Answer:
x = - 7
Step-by-step explanation:
Given
- 2(x + 5) = 4 ← distribute the parenthesis by - 2
- 2x - 10 = 4 ( add 10 to both sides )
- 2x = 14 ( divide both sides by - 2 )
x = - 7
1: 1.19 for 67.2 ounces is about 1.77 cents per ounce. However, $1.50 for 72 ounces is about 2.08 cents per ounce. Clearly, then, the first bottle is cheaper.
2. We simply divide 3/4 by 2 to get (3/4)/2=3/(4*2)=3/8.
3. If the length of the second is 20 feet compared to a 2-foot length for the first, the width of the second rectangle will be ten times the width of the first, so the width of the second rectangle is 10*8=80.
Answer:
Simplifying
x = -25
Step-by-step explanation:
Reorder the terms:
10x + -6(5 + 2x) = 20
10x + (5 * -6 + 2x * -6) = 20
10x + (-30 + -12x) = 20
Reorder the terms:
-30 + 10x + -12x = 20
Combine like terms: 10x + -12x = -2x
-30 + -2x = 20
Solving
-30 + -2x = 20
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '30' to each side of the equation.
-30 + 30 + -2x = 20 + 30
Combine like terms: -30 + 30 = 0
0 + -2x = 20 + 30
-2x = 20 + 30
Combine like terms: 20 + 30 = 50
-2x = 50
Divide each side by '-2'.
x = -25
