Answer:
h(x) = (1/2)(x - 3)^2 + 2
Step-by-step explanation:
Start with y = x^3.
Multiply x^3 by the dilation factor (1/2); this compresses the graph vertically.
Next, replace the x in x^3 with (x - 3). This shifts the graph 3 units to the right.
Last, starting with your g(x) = (1/2)(x - 3)^2, add 2
You will end up with h(x) = (1/2)(x - 3)^2 + 2.
Answer: For 
Nick does not has enough money to follow this recommendation.
Step-by-step explanation:
Given: A self-service car wash charges $4 for the initial 5 minutes plus an additional $0.75 for each minute after that.
Let y be the cost for car wash for m minutes then
such that at m= 5 , y=4 which is the cost for car wash (dollars) for first 5 minutes.
Also, A car enthusiast magazine recommends spending at least 15 minutes to properly wash a car.
For
But Nick has $10 which is less than $11.5, so he does not has enough money to follow this recommendation.
Answer:
4m - 15
Step-by-step explanation:
a( x + y) = ax + ay
Answer:
1/4
Step-by-step explanation:
To find slope, we use the formula rise over run (y2-y1 over x2-x1)
So first, our y's: 7-5=2
And our x's: 12-4=8
2/8 simplifies to 1/4
Answer: The angle equals 45
∘ and the supplement is 135
∘
Explanation:
Since the supplement is three times the angle, we can say s = 3
a
Since we know the supplement is
180
−
a
, we can plug that in.
180 - a = 3a
180 =
4
a (add a to both sides)
45 = a (divide both sides by 4)
Since we know the angle now, all we have to do is multiply it times 3 to find the supplement.
45 × 3 = 135
