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Gemiola [76]
3 years ago
14

A line passes through the point (4,-2) and has a slope of 1/2

Mathematics
2 answers:
creativ13 [48]3 years ago
7 0

Answer:

y = 1/2x - 4

Step-by-step explanation:

First, write the equation using the slope: y = 1/2x + b. Next, find the y intercept by plugging in the point. It should look like this: -2 = 1/2(4) + b. Multiply 1/2 by 4 to get 2. This is what it looks like now: -2 = 2 + b. Subtract 2 from both sides to get -4 = b. Go back to your original equation and plug in -4 for b. This is your final answer:

y = 1/2x - 4

Hope this helped! :)

QveST [7]3 years ago
7 0

Answer:

-6

Step-by-step explanation:

i took the edge quiz

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For the month of March in a certain city, 57% of the days are cloudy. Also in the month of March in the same city, 55% of the da
oksian1 [2.3K]

Answer: 0.9649

Step-by-step explanation:

Let A denote the event that the days are cloudy and B denotes the event that the days are rainy.

Given : For the month of March in a certain city, the probability that days are cloudy :P(A)=0.57

Also in the month of March in the same city,, the probability that the days are cloudy and rainy :P(A\cap B)=0.55

Now by using the conditional probability, the probability that a randomly selected day in March will be rainy if it is cloudy will be :-

P(B|A)=\dfrac{P(A\cap B)}{P(A)}

\Rightarrow\ P(B|A)=\dfrac{0.55}{0.57}\\\\=0.964912280702\approx0.9649\ \ \text{[Rounded to four decimal places.]}

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3 years ago
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valina [46]

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How much coffee costing $4 a pound should be mixed with 3 pounds of coffee costing 4.50 a pound to obtain a mixture costing $4.3
Aleks04 [339]

Answer:

The quantity of coffee costing $4 a pound in the coffee mixture is 2 pounds.

Step-by-step explanation:

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We have to find the quantity of coffee costing $4 a pound in the mixture.

Let x represent the number of pounds of $4 coffee.

Cost of one pound = 4x.

Cost of  3 pounds of coffee costing 4.50 a pound = 3(4.50)

Cost of mixture costing $4.30 a pound = (x+3)(4.30)

According to given problem,

4x+3(4.50)=(x+3)4.30

Solving for x, we get,

\Rightarrow 4x+13.5=4.30x+12.9

Rearranging like term together, we get,

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\Rightarrow 0.6=0.30x

\Rightarrow x=2

Thus, the quantity of coffee costing $4 a pound in the coffee mixture is 2 pounds.

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