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3 years ago

17. MODELING WITH MATHEMATICS The data

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

6 0

Answer:

Average annual tuition is $16991 for the year 2020.

Step-by-step explanation:

By using excel for the equation of the line of best fit,

Slope of the line from given data = 380.0286

y - intercept of the line = 11290.1

Therefore, equation of the regression line will be,

y = 380.0286x + 11290.1

Where x = number of years after 2005

Now we have to calculate the average annual tuition in the year 2020,

By substituting the value of x = 2020 - 2005

= 15 years

y = 380.0286×(15) + 11290.1

y = 16990.529

≈ 16991

Therefore, average annual tuition is $16991 for the year 2020.

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The diameter of the circle above is 100 cm. What is the circumference of the circle ?

Paladinen [302]

Answer: 100pi

Step-by-step explanation:

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2 years ago

In which quadrants do solutions for the inequality y is less than or equal to two sevenths times x plus 1 exist? i, iii, and iv

tigry1 [53]

The solutions will lie in all the four quadrants.

y≤2/7x+1

We have the following inequality:

y=2/7x+1

If x=0

y=2/7(0) +1

y=1

If y=0

x=-3.5

So the line passes through the points:

(0,1) and (-3.5,0)

To find the shaded region, let us take a point, namely, the origin and test it in the inequality:

y≤ 2/7x +1

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Since this is true, then the shaded region includes this point. This is shown below and as you can see the solutions exist in all four quadrants.

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1 year ago

Graph the following piecewise function. 2 f(x)= x+3 if 4 < x <8 2x if x 28 2

just olya [345]

Answer:Find y: 5 + y = -15

Step-by-step explanation:

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2 years ago

I need help I don't understand this one math is my hardest subject

aksik [14]

In order to name the coordinates, you read the X axis first and then the Y axis. So A would be (-4, 4). B would be (-4, 6). C would be (2, 4).

They are not congruent because each angle is a different measure.

Hope this helped! :)

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2 years ago

Find the coordinates of the midpoint of the segment whose endpoints are H(5, 13) and K(7, 5). (12, 18) (9, 7) (2, 8) (6, 9)

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Answer: D. (6, 9)

Step-by-step explanation:

Midpoint is the "average" of the x's and y's:

Given: (5, 13) and (7, 5)

Midpoint: $(\dfrac{5+7}{2},\dfrac{13+5}{2})$

= $(\dfrac{12}{2},\dfrac{18}{2})$

= (6, 9)

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3 years ago