Answer:
The value of k is -7
Step-by-step explanation:
We are given the graph of f(x) and g(x). If g(x)=f(x)+k
If we shift f(x) k unit vertical get g(x).
If k>0 then shift up
If k<0 then shift down.
f(x) and g(x) are both parabola curve.
First we find the vertex of f(x) and g(x)
Vertex of f(x) = (3,1)
Vertex of g(x) = (3,-6)
We can see change in y co-ordinate only.
f(x) shift 7 unit down to get g(x)
g(x)=f(x)-7
Therefore, The value of k is -7
Answer:
the answer is 16 im pretty sure
9514 1404 393
Answer:
∠1 = 67°; ∠2 = 113°
Step-by-step explanation:
<u>Given</u>:
∠1 = 2x-3
∠2 = 3x +8
∠1 +∠2 = 180
<u>Find</u>:
∠1, ∠2
<u>Solution</u>:
Substituting the first two relations into the third, we have ...
(2x -3) +(3x +8) = 180
5x +5 = 180 . . . eliminate parentheses
x + 1 = 36 . . . . . divide by 5
x = 35
Then the angles are ...
∠1 = 2x-3 = 2(35) -3
∠1 = 67°
∠2 = 3x +8 = 3(35) +8
∠2 = 113°
First, we are going to calculate her monthly off-peak usage:
1,185 kWh - 500 kWh = 685 kWh
Now that we know her monthly electricity consumption is 500 kWh on-peak and 685 kWh off-peak, lets calculate the cost of each plan:
<span>
Standard use plan</span>1,185 kWh - 600 kWh = 585 kWh
- For the first 600 KWh:

Since 100 cents = 1 dollar,

= $51
- For the remaining 585 kWh:

Since 100 cents = 1 dollar,

= $64.35
Total cost of the standard use plan: $51 + $64.35 = $115.35
Interval use plan
- On-peak hours:

Since 100 cents = 1 dollar,

= $80
- Off-peak hours:

Since 100 cents = 1 dollar,

= $27.40
Total cost of the interval use plan: $80 + $27.40 = $107.40
We can conclude that:
1. The new interval plan will be better for Anna since she will save $7.95 per month in her electric bill.
2. The correct answer is: <span>
b.standard use plan - $115.35; interval use plan - $107.40</span>