Answer:
y=78
Step-by-step explanation:
y=13(x-4) 2-4
y=(13-52) -2
y=(-24+104)
y=78
we are given
quadratic equation as
now, we can find b and c from
we can see that coefficient of x^2 is 1
so, we will have to make coefficient x^2 as 1
so, we divide both sides by 3
now, we can simplify it
now, we can compare it with
we get
so, we get order pair as
..............Answer
Inverse variation means y=k/x, we are given (3,6) so
6=k/3
k=18 so
y=18/x
y=18/27
y=2/3
Answer:
The new cost is $108.98
Step-by-step explanation:
Mark up is the amount that is added to cost price of a product for profit.
Given
Cost price of boots = C = $99.99
Mark up = 9%
First of all we will calculate markup and then add it to the cost price of boots to find the new cost.
The new cost will be:
The new cost is $108.98
Answer: Choice E)
The amount of calories in fruit juice increases by 2.5 for every one gram of sugar. The calorie amount estimated by this model is 57 if there are zero grams of sugar.
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Explanation:
x = amount of sugar (in grams)
y = number of calories in the juice
ŷ = estimate of y, so its the estimate of calories in the juice
The regression equation rearranges to ŷ = 2.5x + 57
This is in the form y = mx+b where m = 2.5 is the slope and b = 57 is the y intercept.
The slope tells us what the rate of change is. Specifically, it tells us how much the amount of calories (y) is going up each time the amount of sugar (x) goes up. Each time x goes up by 1, y goes up by 2.5
The y intercept 57 is the starting or initial amount of calories. If you have 0 grams of sugar, the lowest amount of sugar possible, then you start off with 57 calories. We can see this by plugging x = 0 into ŷ = 2.5x + 57 (you should get ŷ = 57). Visually, the y intercept is where the line crosses the y axis.
All of these facts point to choice E as the final answer.
