Answer:
approx. $1.85 or $1.86 each marker
Let s be the soda and h be the hot dogs ,there are two equations here. By the problem s+h =161 s= h+43 ∴2h+43=161 so h=161-43/2 =59 so he sold 59 hot dogs and 59+43 =102 sodas.
1. Reduce <span>3x2-6x-240 to x^2 - 2x - 80
2. Use " ^ " to indicate exponentiation
3. Factor </span>x^2 - 2x - 80 using completing the square:
x^2 - 2x + 1^2 - 1^2 - 80
(x+1)^2 - 1 - 80
(x+1)^2 - 81
(x+1)^2 - 9^2 = (x+1-9)(x+1 +9), or (x-8)(x+10)
Final answer, with all factors shown: 3(x-8)(x+10)
Answer:
x = 1
y = 4
Step-by-step explanation:
5x + 2y = 13
x + 2y = 9
Add both equations.
6x + 4y = 22
Solve for x.
6x = 22 - 4y
x = 22/6 - 4/6y
Put x as 22/6 - 4/6y in the second equation and solve for y.
22/6 - 4/6y + 2y = 9
-4/6y + 2y = 9 - 22/6
4/3y = 16/3
y = 16/3 × 3/4
y = 48/12
y = 4
Put y as 4 in the first equation and solve for x.
5x + 2(4) = 13
5x + 8 = 13
5x = 13 - 8
5x = 5
x = 5/5
x = 1
Answer:
A. y = 7(x + 1)²-3
Step-by-step explanation:
Parabola:
Putting into vertex form, remember that:
In this question:
, to put into this format:
We add one inside the parenthesis to do this. The parenthesis is multiplied by 7, so for the equivalent, we also have to subtract 7. Then
Vertex form:
So the correct answer is:
A. y = 7(x + 1)²-3
