### College algebra | Algebra homework help

Question 1 of 25 4.0/ 4.0 Points

Write the equation of the line with a slope of 15 and passing through the point (0, 0).

- A. y = 0
- B. y = 15x
- C. None of these.
- D. x = 0
- E. y = 15

Question 2 deleted

Question 3 of 25 4.0/ 4.0 Points

**Write the equation in slope-intercept form, of the line passing through (7, 8) that is perpendicular to the line y = – x + 11.**

**The perpendicular line is ****y=x+1**

Question 4 of 25 0.0/ 4.0 Points

**The graph of a line has a slope of 5/2 and a y-intercept of (0, 3). Rewrite the equation in standard form (Ax + By = C) with a positive x-term. A, B, and C must all be integers – not decimals or fractions!**

**The equation of the line in standard form is ****2y – 5x = 6****.**

Question 5 of 25 4.0/ 4.0 Points

**Write an equation in slope-intercept form of the line passing through the points (6, 26) and (7, 30).**

**The equation is y = ****4x + 2**

Question 6 of 25 4.0/ 4.0

PointsTrue or False: The point (4, 4) is a solution to the linear inequality

x – y ≤ – 1

**True **

**False**

Question 7 of 25 4.0/ 4.0

Points True or False:

This relation is a function:

{(-2, 1), (3, -4), (4, 2), (8, 1), (11, 9)}

**True**

**False**

Question 8 of 25 4.0/ 4.0 Points

Given the inequality: y > 5x + 7, which quadrants would be partially shaded?

- A. Quadrants I, III, and IV
- B. Quadrants II, III, and IV
- C. Quadrants I, II, and III
- D. Quadrants I, II, and IV

Question 9 of 25 4.0/ 4.0

PointsWhat is the equation of the line that passes through the point (3, 5) and has zero slope?

- A. x = 3
- B. y = 3
- C. x = 5
- D. y = 5

Funky functions

Question 10 of 25 0.0/ 4.0 Points

**Find f(x + 1) when f(x) = 2x + 3**

**f(x + 1) = ****2x+4**

Question 11 of 25 0.0/ 4.0

PointsWhat is the range of the following relation: {(1, 8), (2, 6), (3, 9), (1, 6)}

- A. {8, 6, 9, 6}
- B. {6, 8, 9}
- C. {1, 2, 3, 1}
- D. {1, 2, 3}

Question 12 of 25 4.0/ 4.0 Points

The boundary of the graph of a linear inequality is either a solid or dashed line and the shaded area is either above or below the line.

Select the correct **line** and **shading** for the following inequality: y < x + 15

- A. dashed; below
- B. solid; above
- C. dashed; above
- D. solid; below

Question 13 of 250.0/ 4.0

PointsFind the equation of a line passing through the point (- 10, 1) and perpendicular to the line y = 2.

- A. x = – 10
- B. y = – 10
- C. None of these.
- D. x = 1
- E. y = 1

Question 14 of 250.0/ 4.0

PointsFind f(-15) when f(x) = – 4x + 10

- A. 70
- B. – 50
- C. 50
- D. None of these.
- E. – 70

Question 15 of 25 0.0/ 4.0

PointsWrite the equation of the line with slope = – 4 and containing the point (- 2, 5).

- A. y – 5 = mx + 2
- B. y = – 4x – 25
- C. y = – 4x – 3
- D. None of these
- E. y – 5 = x + 2

Question 16 of 25 0.0/ 4.0 Points

Write the equation of the line passing through the points (2, 3) and (- 1, 3).

- A. y = x + 3
- B. y = 0
- C. y = 3
- D. x = 3

Question 17 of 25 0.0/ 4.0 Points

All-Hands Moving charges a flat fee of $60 plus $35 per hour.

Choose an equation for the cost in dollars, y, for using All-Hands for x hours.

- A. y = 60x + 35
- B. y = 60x
- C. y = 35x
- D. None of these.
- E. y = 35x + 60

Question 18 of 25 0.0/ 4.0 Points

**Use your knowledge of the process of “Writing an equation given two points” to solve the following problem:**

**A vendor has learned that, by pricing his deep fried bananas on a stick at $1.50, sales will reach 110 per day. Raising the price to $2.50 will cause the sales to fall to 70 per day. Let y be the number of the vendor sells at x dollars each. Write a linear equation that models the number of sold per day when the price is x dollars each.**

**The linear equation is y = ** **.**

Question 19 of 25 0.0/ 4.0 Points

Choose the equation of a line with a slope of 3 and a y-intercept at (0, 4).

- A. y = 4x + 3
- B. y = – 3x – 4
- C. y = 3x + 4
- D. y = – 4x – 3

Question 20 of 25 0.0/ 4.0 Points

Choose the equation of the line that has an undefined slope and contains the point (9, – 2).

- A. x = 9
- B. y = – 2
- C. x = – 2
- D. y = 9

Question 21 of 25 0.0/ 4.0

PointsThe formula for converting Celsius temperature to Fahrenheit is:

F = 1.8C + 32

Find the Fahrenheit temperature when the Celsius temperature is 58 degrees.

- A. 52.6
- B. 72.4
- C. 136.4
- D. None of these.
- E. 17

Question 22 of 25 0.0/ 4.0

PointsThe cost y, in dollars, to produce graphing calculators is given by the equation y = 48x + 2500, where x is the number of calculators produced. What is the cost to produce 1100 calculators?

- A. $55,650
- B. $55,300
- C. $50,300
- D. $52,800
- E. None of these.

Question 23 of 25 0.0/ 4.0 Points

**The cost (in hundreds of dollars) of tuition at the community college is given by T = 1.25c + 3, where c is the number of credits the student has registered for.**

**If a student is planning to take out a loan to cover the cost of 13 credits, use the model to determine how much money he should borrow.**

**Notice that the dollar sign is already there! Also, remember, when writing answers that involve money, it is customary to use 2 decimal places!**

**To pay for exactly 13 credits, the student should borrow $ ** **.**

Question 24 of 25 0.0/ 4.0 Points

**The cost X, in dollars, to produce graphing calculators is given by the function C(x) = 51x + 3500, where x is the number of calculators produced. How much does it cost to produce 2300 calculators?**

**2300 calculators can be produced for $ ** **.**

Question 25 of 25 0.0/ 4.0 Points

**The cost X, in dollars, to produce graphing calculators is given by the function C(x) = 51x + 2000, where x is the number of calculators produced. How many calculators can be produced for $104,000?**

**The number of calculators that can be produced is **