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PtichkaEL [24]
3 years ago
10

What is the slope and y- intercept of the line passing through (11,-3) and (7,9)

Mathematics
1 answer:
Misha Larkins [42]3 years ago
7 0

Answer:

Slope is -3, y-intercept is 30

Step-by-step explanation:

You take the two points (11,-3) and (7,9), plug them into the formula y2-y1/x2-x2=m. Now, you have 9-(-3)/7-11 which gives you 12/-4, 12/-4 can be simplified into -3 which is your slope. To find y-intercept you must use the formula y=mx+b. Plug -3, your slope, into m, and any of the coordinates on your line into the y and x; I used (7,9). You solve for b from 9=-3*7+b. -3*7 gives you -21, now you have 9=-21+b, to get b by itself, you add 21 to both sides, 30=b. B is your y-intercept.

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3 years ago
If 24 apples represents 30% of her apple supply. How many total apples does Jasmine have?
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Answer:

She has 80 apples in all.

Step-by-step explanation:

24=30%

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3 years ago
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Dafna11 [192]

Answer:

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Step-by-step explanation:

Given:

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Solving for f(0):

f(0) = x \text{ when } x = 0 \\ f(0) = 0

6 0
3 years ago
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Suppose you are the manager of a firm. The accounting department has provided cost​ estimates, and the sales department sales​ e
Katarina [22]

Answer:

<em>If more than 134 articles are produced and sold, the firm will have positive profits and shoule start production</em>

Step-by-step explanation:

Cost, Revenue, and Profit Function

The cost function C(x) is given by

C(x)=75x+3,350

where x is the number of produced products.

The revenue function is

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With both equations, we can know the profit function as

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P(x)=100x-75x-3,350=25x-3,350

P(x)=25x-3,350

For the firm to have positive profits, it has to produce x articles with the condition

P(x)>0

Or, equivalently

P(x)=25x-3,350>0

Solving for x

\displaystyle x>\frac{3,350}{25}

Thus

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3 years ago
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Step-by-step explanation:

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