It is not parallel. The fact that there is more space between the lines on one side than the other (mk is shorter than nL) shows that the lines must be angled differently, and thus, would eventually intersect.
Answer: Magnum = $2.10
Paddlepop = $1.20
<u>Step-by-step explanation:</u>
Let M represent Magnum and P represent Paddlepop, then create a system of equations using the cost as one equation and the difference in price as the other. Use the elimination method to solve for one of the variables and substitution to solve for the other.
3M + 2P = 8.70 → 1(3M + 2P = 8.70) → 3M + 2P = 8.70
M - P = 0.90 → 2(M - P = 0.90) → <u>2M - 2P = 1.80 </u>
5M = 10.50
M = 2.10
M - P = 0.90
2.10 - P = 0.90
-P = -1.20
P = 1.20
Answer:
Each person received $1,250
First set up the equation.
x + 3x = 648
Then solve for x.
4x = 648
Divide both sides by 4.
x = 162. So the answer for the system would be $162 and the price for the games would be $486. Add the two up to check your work and you will get $648. Hope this helped!
-TTL
Answer:
y - value of the vertex is 49.
Step-by-step explanation:
Given function is f(x) = -(x - 3)(x + 11)
f(x) = -(x² - 3x + 11x - 33)
= -(x² + 8x - 33)
= -(x² + 8x + 16 - 49)
= -[(x + 4)² - 49]
= -(x + 4)² + 49
Comparing this equation with the vertex form of a quadratic function,
f(x) = -(x - h)² + k
Where (h, k) is the vertex of the function.
Vertex of the parabola is (-4, 49)
Therefore, y-value of the vertex is 49.
