Graph the line with: a slope of -5 and y intercept of 4. PLEASE HELP

Mathematics

1 answer:

worty [1.4K]3 years ago

5 0

The y intercept of 4 means the graph crosses the vertical y axis at 4. More specifically this location is (0,4)

Start at (0,4) and move down 5 units and then move to the right 1 unit. You should arrive at (1,-1). The movement rule of "down 5, over to the right 1" is taken exactly from the slope of -5 = -5/1.

After plotting the two points (0,4) and (1,-1), draw a straight line through them both. Extend this line as far as you can in either direction. The graph is now completed.

<h3>In summary, this line goes through (0,4) and (1,-1)</h3>

Side note: The equation of this line is y = -5x+4. It is in slope intercept form.

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Delicious77 [7]

Using the combination formula, it is found that the number of ways to choose the presenters is given by:

C. 462.

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<h3>What is the combination formula?</h3>

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this problem, 6 students are chosen from a set of 11, hence the number of ways is given by:

$C_{11,6} = \frac{11!}{6!5!} = 462$

More can be learned about the combination formula at brainly.com/question/25821700

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2 years ago

You invest in a new play. The cost includes an overhead of $30,000, plus production costs of $2500 per performance. A sold-out p

Alchen [17]

Answer: 48 sold-out performances must be played in order for you to break even.

Step-by-step explanation:

Let x represent the number of sold-out performances must be played in order for you to break even.

You invest in a new play. The cost includes an overhead of $30,000, plus production costs of $2500 per performance. This means that the total cost of x sold out performances would be

2500x + 30000

A sold-out performance brings you $3125. This means that he total revenue from x sold out performances would be

3125x

To break even, cost = revenue

Therefore,

2500x + 30000 = 3125x

3125x - 2500x = 30000

625x = 30000

x = 30000/625

x = 48

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3 years ago