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EastWind [94]
3 years ago
10

Find the slope of the line that is perpendicular to the line graphed in the figure​

Mathematics
1 answer:
Margaret [11]3 years ago
3 0

Answer:

- \frac{1}{5}

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (1, 1) ← 2 points on the line

m = \frac{1-(-4)}{1-0} = \frac{1+4}{1} = 5

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{5}

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4. The revenue of a company for a given month is represented as ????(x) = 1,500x − x^2 and its costs as ????(x) = 1,500 + 1,000x
mrs_skeptik [129]

Answer:

The profit will be maximum on x = 250.

Step-by-step explanation:

From the given information:

Revenue = 1500x - x²

Cost = 1500 + 1000x

As we know that

Profit = Revenue - Cost ; Let say it equation 1

Then after putting the values of revenue and cost in equation 1 we have:

Profit = (1500x - x²) - (1500 + 1000x)

Profit = 1500x - x² - 1500 - 1000x

Profit = -x² + 500x - 1500

We know that at the max or min the slope of the graph formed by the profit function will be zero, therefore we find the slope of profit function by taking the first derrivative w.r.t. x as under:

d(Profit)/dx = d/dx(-x² + 500x - 1500)

d(Profit)/dx = -2x + 500

By putting the above slope equal to zero we get:

d(Profit)/dx = -2x + 500 = 0

-2x + 500 = 0

-2x = -500

x = 250

Therefore it is concluded that the profit will be maximum when x will be equal to 250.

4 0
3 years ago
When you flip a biased coin the probability of getting a tail is 0.34. Find the probability of getting a head.
koban [17]

Answer:

If you want to know what the probability is to get at least one Heads, then that is the same as the probability of all the events (100%, or 1) minus the probability of getting all Tails.

There are 100 coins. 99 are fair, 1 is biased with both sides as heads. With a fair coin, the probability of three heads is 0.53=1/8. The probability of picking the biased coin: P(biased coin)=1/100.

Step-by-step explanation:

5 0
3 years ago
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lesya692 [45]
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hope that helps
6 0
3 years ago
Huda made 8 matching bracelets. She used 128 beads in all. How many beads did she use per bracelet?
Elden [556K]

Answer:

To figure out the answer all you have to do is divide 128 by 8 and you get:

16 beads per bracelet


Hope this helped and plz mark as brainliest!


8 0
3 years ago
Sandy is helping her uncle at this coffee shop. She observes that, when ordering coffee, 13 of customers select chocolate flavor
otez555 [7]
Answer: The probability that 3 or more of the next 5 customers will order chocolate is 30%.  3/10

Sandy conducted her own experiment to answer this question. She observed what groups of 5 customers ordered. In her experiment, 30% of the time at least 3 of the customers ordered chocolate.

The fraction 30% is 3/10.
7 0
3 years ago
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