Answer:
The difference of two numbers using identity
is 4.
Step-by-step explanation:
Given: The sum of the numbers is 12 and the difference of the squares of the numbers is 48.
To find the difference of two numbers using identity 
Let the two numbers be a and b, then
Given that the sum of the numbers is 12
that is a + b = 12 .........(1)
Also, given the difference of the squares of the numbers is 48.
that is
..........(2)
Using given identity 
We have 
Substitute the known values, we have,

Divide both side 12 , we have,

Thus, the difference of two numbers using identity
is 4.
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.
Answer: 6
Step-by-step explanation:
The answer to your question is 40.5 units.
Answer:
a=40
b=50
Step-by-step explanation:
I forgot what is it called sorry