Answer: D.
Step-by-step explanation:
For an absolute value function, the vertex of 
is defined as the point (-h, k) for the coordinate (x, y).
When x is equal to negative h, the value for x and value for h effectively cancel out, and only the positive k remains, hence the vertex being (-h, k).
The function given has a vertex at (2, 3). We know that the vertex of an absolute function is (-h, k), so h must equal -2 and k must equal 3.
The equation:
Ok so parallel equations mean they have equal slope, but different y intercepts. Here, we can solve and get the equation:
y=2/5x-7/5
-8+2x=12x-3
Subtract 2x from both sides
-8=10x-3
Add 3 to both sides
-5=10x
Divide both sides by 10
-5/10 = x
-1/2= x
Answer:
Kevin is going to be able to have enough money for the concert the fastest
Philip needs at least 4 weeks
Kevin needs at least 3 weeks
Step-by-step explanation:
<u>Philip</u>
- $8.75/hour * 6 hours/weekend * 1 weekend/week = $52.5/week
Let's call x to the number of weeks Philip needs to reach $225.
52.5*x + 45 = 225
52.5*x = 225 - 45
x = 180/52.5
x = 3.43
He needs at least 4 weeks
<u>Kevin</u>
- 3 hours/day * $7.5/hour *3 days/week = $67.5/week
Let's call y to the number of weeks Kevin needs to reach $225.
67.5*y + 30 = 225
67.5*y = 225 - 30
y = 195/67.5
y = 2.9
He needs at least 3 weeks
