Answer:
-2
Step-by-step explanation:
The line in the graph has a slope of 1/2. Perpendicular means the opposite sign and the reciprocal, so it would be -2.
Answer:
Here's what I get
Step-by-step explanation:
Total cost = equipment cost + monthly fee × number of months
Let C = total cost
and e = equipment cost
and f = monthly fee
and x = number of months. Then
C = e + f·x
The condition is that C ≤ $175 or
e + f·x ≤ $175
1. NetGear
e = $99; f = $5/mo
The condition is
99 + 5x ≤ 175
The centre could rent the games for 15 mo.
They would pay $99 for the equipment.
Fifteen months rental at $5/mo = $75.
Total cost = $174.
2. Anytime Games
e = $19; f = $19/mo
The condition is
19 + 19x ≤ 175
The centre could rent the games for eight months.
They would pay $19 for the equipment.
Eight months rental at $19/mo = $152.
Total cost = $171.
3. Recommendation
The Community Centre should rent from NetGear.
They can rent for 15 mo without going over the budget.
With the other company, they can rent for only eight months.
The graphs below show how the costs for the two companies vary with the number of months.
Anything above the horizontal orange line at C = $175 is beyond the Community Centre's budget.
Answer:
Step-by-step explanation:
This is of the form
where h and k are the coordinates of the vertex, and the values that tell us the translation of the parent graph from its starting point (which is always the origin). The 2 out front, the a value, tells us that the graph of this parabola is a bit slimmer than the parent graph, but does nothing to its translation (or movement). It does, however, tell us which way the parabola opens. Because the parabola opens upwards, the 2 is positive. The h value tells us our side to side movement. The "(x - " part is very important because it doesn't change. If we have (x - 2), then it is understood to be (x - (2)) which is movement 2 units to the right (because positive numbers move right or up, while negative numbers move left or down). If we have (x + 2), then it is understood to be (x - (-2)) which is movement 2 units to the left. Because our parabola is shifted 2 units to the right, it reflects (x - 2) squared. It is shifted up 2 so the k value is a +2. The equation for this parabola could be B only.
Answer: C. (0, -3)
Step-by-step explanation:
You don't even need to find the function, just mentally graph every point in the options on the graph.
- If it land in the white area, it's not a solution.
- If it land in the blue area or on the line, it's a solution.
<em>The line is not dotted, showing that the inequality is probably either ≥ or ≤, so points on the line do count as solution.</em>