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marysya [2.9K]
4 years ago
13

The lines shown below are parallel. If the green line have a slope of -1, what is the slope of the red line

Mathematics
1 answer:
Ronch [10]4 years ago
4 0

No lines shown there?

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A should be the right answer

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A car company has found that there is a linear relationship between the amount of money it spends on advertising and the number
svetoff [14.1K]

Answer:

a) It is expected to sell 560 cars.

b) The total amount invested is $145,000.

c) y=0.004x+200

m is the slope of the linear function, and represents <em>the additional amount of cars it will sell due to an additional dollar invested in advertising</em>. Its units of m is [cars/dollar].

b is the y-intercept and represent t<em>he amount of cars the company would sell if there is 0 dollars invested in advertising</em>. It may or not be a representative point in the real world (it depends on how accurate is the linear function and the range where it is valid). The unit of b is [cars].

Step-by-step explanation:

a) If the company invest $90,000, that is 3 times $10,000 plus the originals $60,000. Then, it is expected to sell 560 cars.

440+3*40=440+120=560

b) If the company sold 800 cars, we have 440 cars that corresponds to the original $60,000 and (800-440)=360 cars that correspond to the additional invest.

If an additional 40 cars are sold by an additional $10,000 invest, 340 cars are sold by 340*10,000/40= $85,000.

Then the total amount invested is 60,000+85,000=$145,000.

c) We can estimate the parameters m and b of the equation taking into account one known point ($60,000 corresponds to 440 sold cars) and the known variation (40 sold cars for every $10,000 invested).

m=\frac {\Delta y} {\Delta x }=\frac{40}{10,000}=0.004 \, \frac{cars}{dollar}

Then we can use the known point to estimate b:

b=y-mx=440-(0.004)*60000=440-240=200 \, cars

The equation is then

y=0.004x+200

m is the slope of the linear function, and represents <em>the additional amount of cars it will sell due to an additional dollar invested in advertising</em>. Its units of m is [cars/dollar].

b is the y-intercept and represent t<em>he amount of cars the company would sell if there is 0 dollars invested in advertising</em>. It may or not be a representative point in the real world (it depends on how accurate is the linear function and the range where it is valid). The unit of b is [cars].

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4 years ago
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Answer:

Step-by-step explanation:

h e a t e r

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shtirl [24]
Triangles are 180 degrees total so 80+40=120, subtract that from 180 and you’ll get B=60
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3 years ago
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Problem 2.191 A researcher receives 93 containers of oxygen. Of those containers, 20 have oxygen that is not ionized and the res
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Answer:

Step-by-step explanation:

Given that there are 20 non ionized containers and 73 ionized containers

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d) the probability that both are ionized=\frac{73C2}{93C2} =0.614

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