Y≥−2x−8 What is the answer?
1 answer:
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Answer:
(2,20)
Step-by-step explanation:
The given function is
To see which point is not on this curve, we must substitute the points to see which does not satisfy the equation;
For the first point we substitute x=3 and f(x)=250
This is true.
For the second point (2,20), we put x=2 and y=20 to get:
This is false, hence (2,20) does not lie on this curve.
For (1,10), we have:
This is also true
Finally for (2,50), we have;
This is also true.
Answer:
a)
y = 0.3035 + 0.0082x
b)
0.6315 mm
c)
x = 23.9634 °C
Step-by-step explanation:
a. Compute the least-squares line for predicting warping from temperature. Round the answers to four decimal places.
We need to find an equation of the form
y = b + mx
where m is the slope and b the Y-intercept.
The slope m can be computed with the formula
Replacing the values in our formula (we will round at the end of the calculations)
the Y-intercept b is computed with the formula
therefore we have
and the least-squares line rounded to 4 decimals would be
y = 0.3035 + 0.0082x
b. Predict the warping at a temperature of 40°C. Round the answer to three decimal places.
We simply replace x with 40 to get
y = 0.3035 + 0.0082*40 = 0.6315 mm
c. At what temperature will we predict the warping to be 0.5 mm? Round the answer to two decimal places
Here, we replace y with 0.5 and solve for x
0.5 = 0.3035 + 0.0082x ===> x = (0.5-0.3035)/0.0082 ===>
x = 23.9634 °C