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Salsk061 [2.6K]
3 years ago
11

Are the following equations perpendicular y=-1/3x+4 and y=1/3x+12?

Mathematics
1 answer:
g100num [7]3 years ago
3 0
<h3>Answer: No, they are not perpendicular</h3>

Explanation:

Compare each equation to the form y = mx+b

m = slope

The first equation has slope -1/3 and the second equation has slope 1/3

The slopes do not multiply to -1, so the lines aren't perpendicular.

The slopes aren't equal, so the line aren't parallel either.

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Dalia owns a gravel pit. She took a random sample of rocks and counted 585858 sedimentary rocks, 213213213 metamorphic rocks, an
goblinko [34]

step One

Find the total number of rocks in the gravel pit

<em>58 + 213 + 522 = 793</em>

Step Two 

<em>Set up the probabilities.</em>

<em>P(Sedimentary) = 58 / 793 = 0.0731</em>

<em>P(metamorphic) = 213/ 793 =0.2686</em>

<em>P(igneous) =        522 / 793 = 0.6583</em>

Check

<em>When these are added together the answer should be one.</em>

<em>0.0731 + 0.2686 + 0.6583 = 1 just as it should.</em>

3 0
3 years ago
Can I please get some help with this probem?
Lemur [1.5K]

Answer:

In Step 4, the inequality sign should be flipped.

Step-by-step explanation:

Whenever you multiply or divide both sides of an inequality by a negative number, you need to flip the inequality sign. So, in Step 4, when you divide both sides by -10, the sign should be flipped.

The final answer should be:

\frac{-27}{10} \geq x

6 0
2 years ago
Read 2 more answers
A company that manufactures guitars has a fixed cost of $100,000. It costs $100 to produce each guitar and the selling price is
miv72 [106K]

a. Write the cost function:: C(x) = 100x + 100,000 where x is number of guitars

---------------------------------

b. Write the revenue function:: R(x) = 300x where x is number of guitars

-----------------------

c. Find the profit function.

Profit = Revenue - Cost

P(x) = R(x) - C(x)

P(x) = [ R(x) ] - [ C(x) ]

P(x) = [ 300x ] - [ 100x+100,000 ]

P(x) = 300x - 100x-100,000

P(x) = 200x - 100,000

The break even point is when the profit is 0 dollars. You don't lose any money. And you don't gain any money.

Solve 125x - 100,000 = 0

125x = 100,000

x = 800 (# of guitars made and sold)

7 0
3 years ago
I need the answer fast
denis23 [38]

Answer:

84

Step-by-step explanation:

5 0
2 years ago
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Answers must be in standard form:<br> (K+4)(3k+2)
kotykmax [81]

Answer:

3kK+2K+12k+8

Step-by-step explanation:

7 0
3 years ago
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