Asked by DVick 6 years ago

Solve the following equations for the unknown.

- (2 points) 6.2(x - 15.1) = 9.3(-x - 3.2)

- (2 points) x/3 - 7/8 = 2/5(x + 15/4)

Graph the following equations; calculate the slope, x-intercept, and y-intercept, and label the intercepts on the graph.

- (5 points) 7.1x - 3.9y = 1.4

- (5 points) 3x = -2

- (5 points) 4.2x + 3.8y = 1.9

- (5 points)

A semiconductor manufacturer seeks to maximize its profits. Testing indicates that they can produce 100,000 chips per week at a cost of $40 per chip, and sell them for $65 per chip. They also find that they can produce 125,000 chips per week at a cost of $35 per chip, and sell them for $63 per chip. How much profit can they expect to earn if they produce 130,000 chips per week?

- (3 points)

Find the area of a rectangle if three of its corners are (-0.1,-3.4), (-7.9,-3.4), and (-0.1,6.8).

- (5 points)

A temperature of 41 degrees F is equivalent to 278.2 degrees K, while a temperature of 86 degrees F is equivalent to 303.2 degrees K. Find the equation converting Kelvin temperature to Fahrenheit. What is the Fahrenheit temperature when it is 180 degrees K?

- (4 points)

Find an equation in slope-intercept form passing through the points (-6.2,18.1) and (-3.4,18.1).

- (4 points)

Tom buys $20,000 worth of stock, and sells it eight months later for $28,000. If he is required to pay 15% capital gains tax on his profits, how much tax will he pay?

- (2 points) 5x = 20

12 (2 points) 7x - 3 = 18

Graph the following equations; calculate the slope, x-intercept, and y-intercept, and label the intercepts on the graph.

- (5 points) y = x + 3

- (5 points) y = -2x - 7

- (5 points) 2x + 3y = 9

- (5 points)

A consumer electronics company sells 6.7 million MP3 players per month at a price of $100 apiece; when the price is lowered to $80, the company sells 10.2 million players per month. How many MP3 players can the company expect to sell per month at a price of $75?

- (3 points)

The points (1,5), (4,5), and (1,0) represent three corners of a rectangle; find the coordinates of the fourth point.

- (5 points)

Seven inches are equivalent to 17.78 cm. Find the equation converting length in cm to length in inches. What is the length in inches of a 96.2 cm bar?

- (4 points)

Find an equation in slope-intercept form passing through the points (2,5) and (7,-3).

- (4 points)

Sales tax in Pennsylvania is 6%. Create an equation for the total price (cost plus tax) of a purchase in PA in terms of its cost. How much would a person pay for a car whose cost is $32,000?

- What are the x-intercept and y-intercept of a linear equation?
- What are their coordinates on a graph?
- How can they be used to graph a line?
- Demonstrate by determining the intercepts of "14x + 7y = 21."

- What is the slope of a line?
- Given two points on a line, how is the slope calculated?
- Given the equation of a line, how is the slope calculated?
- Demonstrate by determining the slope of "3x + 5y = 19.

slope, x

DVick

Answered by lancer 6 years ago

**Excerpt from file: **Math Tutorial Solve the following equations for the unknown. 1. (2 points) 6.2(x - 15.1) 9.3(-x - 3.2) 2. (2 points) x/3 - 7/8 2/5(x 15/4) Graph the following equations; calculate the slope, x-intercept, and y-intercept, and label the intercepts on the graph. 3. (5 points) - 1.4 slope: x

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Surround your text in `*italics*`

or `**bold**`

, to write a math equation use, for example, `$x^2+2x+1=0$`

or `$$\beta^2-1=0$$`

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Asked: 6 years ago