Answer: 1. x = -2(y - 4)² + 1
2. x = -y² + 5
3. y = -5(x + 1)² + 2
<u>Step-by-step explanation:</u>
Notes: The vertex formula of a parabola is x = a(y - k)² + h or y = a(x - h)² + k
- (h, k) is the vertex
- p is the distance from the vertex to the focus
1)
Now input a = -2 and (h, k) = (1, 4) into the equation x = a(y - k)² + h
x = -2(y - 4)² + 1
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2)
Now input a = -1 and (h, k) = (5, 0) into the equation x = a(y - k)² + h
x = -1(y - 0)² + 5 → x = -y² + 5
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3)
Now input a = -5 and (h, k) = (-1, 2) into the equation y = a(x - h)² + k
y = -5(x + 1)² + 2
2(-3)(-5)(0)(-5)(-8)(3) = 0
It doesn't matter how many other numbers you multiply, anything multiplied by 0 will be 0.
given the function, there is no independent variable, x. Because of that your equation remains constant at the y axis, where you get f(x)=57. This means that for any input of x you’ll get 57 as the output. Because youre looking for average rate of change, you would use delta y/ delta x.
(2,57) and (6,57)
When you solve for change between the y and x, you get (57-57)/(6-2
) which ultimately gives you an average rate of change of 0.
Answer:
7 buses. 52÷ 8 = 6.5 so rounding up to 7
Answer:
markup price = $25.31
retail price = $59.06
Step-by-step explanation:
Markup price is 75% OF 33.75
Retail price is original price (33.75) PLUS the markup price (to be found)
Firstly, converting a percentage to a decimal is simple. We simply divide by 100. So:
75% = 75/100 = 0.75
Now, to find markup, we multiply:
33.75 * 0.75 = $25.31
Now, the retail price is SUM of original and markup, that would be:
retail price = 33.75 + 25.31 = $59.06
Thus,
markup price = $25.31
retail price = $59.06
