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Dvinal [7]
3 years ago
6

A cafeteria worker is wondering how student lunch prices at a high school have changed over time. She researches lunch prices fo

r the years 2000 through 2015 and plots the data in a scatter plot. The best–fit line for the data has the equation y = 0.057x + 1.150, where x is the number of years since 2000 and y is the student lunch price, in dollars.
Determine whether each statement below is true or false based on the equation of the line of best fit. Select True or False for each statement.
Mathematics
2 answers:
Sloan [31]3 years ago
8 0

Answer: true, false, true

Step-by-step explanation:

Svetradugi [14.3K]3 years ago
3 0
<h2>True, False, True.</h2>

This is correct I worked it out twice and my teacher confirmed it.

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The​ cost, in​ dollars, of producing x belts is given by Upper C (x )equals 970 plus 12 x minus 0.076 x squared. The​ revenue, i
umka21 [38]

Answer:

$68.44 for each additional belt

Step-by-step explanation:

The cost and revenue functions are:

C(x) = 970+12x - 0.076x^2\\R(x) =43x^{\frac{3}{4}}

The profit function, P(x), is given by subtracting the cost function from the revenue function.

P(x) = R(x) - C(x)\\P(x)=43x^{\frac{3}{4}}+0.076x^2-12x-970\\

The derivate of the profit function gives us the rate at which profit changes:

\frac{dP(x)}{dx} =P'(x)=32.25x^{\frac{-1}{4}}+0.152x-12\\

For x = 484, the rate of change is:

P'(484)=32.25*484^{\frac{-1}{4}}+0.152*484-12\\P'(484) = \$68.44/belt

Profit is increasing by $68.44 for each additional belt

3 0
3 years ago
8-1 1/5<br> (Simplify your answer. Type a whole number, fraction, or a mixed number.)<br> orrect:
ozzi
The answer is 6 4/5!
6 0
3 years ago
Read 2 more answers
Can someone please help me understand
Mnenie [13.5K]
Stop being like that I helped u
7 0
3 years ago
JL is a common tangent to circles M and K at point J. If angle MLK measures 61ᵒ, what is the length of radius MJ? Round to the n
Sladkaya [172]
3.122

The process to getting this comes in many steps. Firstly, you need to find the angles for JLK and MLJ. To find JLK use the arcsin function using the opposite side and the hypotenuse. 

Arcsin(Opp/Hype) = JLK
Arcsin(.5) = JLK
30 degrees = JLK

This means MLJ = 31 degrees since they add up to 61 degrees. 

Now we need to find the length of LJ, which we can do using the Pythagorean Theorem. 

3^2 + JL^2 = 6^2
9 + JL^2 = 36
JL^2 = 27
JL = \sqrt{27}

Now that we have the angle of MLJ and the length of JL, we can use the tangent function to find MJ.

Tan(angle) = opp/adj
Tan(31) = MJ/\sqrt{27}
\sqrt{27}Tan(31) = MJ
3.122 = MJ
7 0
4 years ago
Read 2 more answers
Please Help!! I WILL MARK BRAINLIEST
victus00 [196]

Answer:

f-¹(x) = 2x – 8

f-¹(4) = 2(4) – 8 —> f-¹(4)= 8 - 8 =0

7 0
3 years ago
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