Question

A right triangle has base (x - 7) units and height (2x - 10) units.

Part A: What is the square of the length of the hypotenuse of the triangle? Show your work. (4 points)

Part B: What is the area of the triangle? (3 points)

Part C: Using the solution obtained in Part B, explain the closure property of multiplication of polynomials. (3 points)

Answer 1

The following function represents the profit P(n), in dollars, that a concert promoter makes by selling tickets for n dollars each:

P(n) = -250n2 + 2,500n - 5,250

Part A: What are the zeroes of the above function, and what do they represent? Show your work. (4 points)

Part B: Find the maximum profit by completing the square of the function P(n). Show the steps of your work. (4 points)

Part C: What is the axis of symmetry of the function P(n)? (2 points)

Answer 2

The table below shows the distance y, in miles, traveled by a toy car in x minutes:
Time (x)
(minutes) 20 30 40 50
Distance (y)
(miles) 5 10 15 20

Part A: What is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and distance traveled by the toy car. (4 points)
[Choose the value of correlation coefficient from 1, 0.8, 0.5, 0.02]

Part B: What is the value of the slope of the graph of distance versus time, and what does the slope represent? (3 points)

Part C: Does the data in the table represent correlation or causation? Explain your answer. (3 points)

Answer 3

@abb0t

Answer 4

@CyberShadow

Answer 5

@Jumperman

Answer 6

I'm not that msart yet.

Answer 7

@Sheraz12345

Answer 8

@blackbutterfly

Answer 9

For part A apply pythagoras therom

Answer 10

What is that? How do i do that?

Answer 11

is that a^2+b^2=c^2?

Answer 12

yes

Answer 13

How do I apply that in the problem?