Step-by-step explanation:
all work is shown/pictured
<h3>Answer: Choice B. y = (x+3)^2 - 1</h3>
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How I got that answer:
The vertex is the lowest point of parabolas that open upward.
(h,k) = vertex
(h,k) = (-3,-1)
h = -3
k = -1
For each of the answer choices, a = 1.
The general template of a quadratic in vertex form is
y = a(x-h)^2 + k
Plug a = 1, h = -3, k = -1 into that equation. Simplify.
y = a(x-h)^2 + k
y = 1(x-(-3))^2 + (-1)
y = (x+3)^2 - 1
Answer:
1.) Yes
2.) Yes
Step-by-step explanation:
Given that
n = k(k + 7)
If k is a positive integer and n = k(k + 7), is n divisible by 6 ?
(1) k is odd. Yes.
Let assume that k = 3
Then, n = 3(3 + 7)
n = 3 × 10
n = 30.
30 is divisible by 6.
(2) When k is divided by 3, the remainder is 2. That is,
Let k = 5
Then,
5/3 = 1 remainder 2
Substitute k into the equation
n = k(k + 7)
n = 5(5 + 7)
n = 5 × 12
n = 60
And 60 is divisible by 6.
Therefore, the answer to both questions is Yes.
Answer:
Step-by-step explanation: If w is hours at Westside, then (18-w) is the number of hours taken at Pinewood.
Cost to westside = 98w. Cost to Pinewood = 115(18-w).
Total cost = 98w + 115(18 - w) = 2070 - 17w.
[I guess there should be some constraints like 0 > w > 18]
I put it as "greater than" rather than "greater than or equal" because the problem states he takes classes at both schools, hence he has to take at least something at Westside, and similarly he has to take something at Pinewood so he would not take all 18 hours at Westside.
Answer:
2700
Step-by-step explanation:
108*25=2700
100*25=2500
+
8*25=200
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2700
