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kaheart [24]
2 years ago
12

Find the slope of the line that passes through (87, 91) and (88, -4).

Mathematics
1 answer:
Elanso [62]2 years ago
5 0
<h2>Answer:    slope = - 95</h2><h2> </h2>

Step-by-step explanation:    

      The question gives us two points, (87, 91) and (88, -4), from which we can find the slope and later the equation of the line.

<u> </u>

<u>Finding the Slope</u>  

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)      

                                        =  (91 - (- 4)) ÷ (87 - 88)    

                                        =  - 95

<em><u /></em>

<em><u /></em>

<em><u>Checking my answer:</u></em>

<em>Finding the Equation</em>  

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:  

                                ⇒  y - (-4) =  - 95 (x - 88)

                                       y + 4 =  - 95 (x - 88)

<em>To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.</em>

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A 20-gallon salt-water solution contains 15% pure salt. How much pure water should be added to it to produce a 10% solution?
Elanso [62]

15% of 20 gal = 0.15 * 20 gal = 3 gal, so the solution contains 3 gal of salt.

If we add <em>x</em> gal of water to the solution, we end up with (20 + <em>x</em>) gal of solution. We want the new mixture to have a concentration of 10%, or

10% of (20 + <em>x</em>) gal = 0.1 * (20 + <em>x</em>) gal = 2 + 0.1<em>x</em> gal

of salt.

The amount of salt in the tank hasn't changed. Solve for <em>x </em>:

2 + 0.1<em>x</em> = 3

0.1<em>x</em> = 1

<em>x</em> = 10 gal

3 0
3 years ago
Take a deck of playing cards form following sets out of those
swat32

The information given about the probability shows that the cardinality of D is 18.

<h3>How to calculate the probability?</h3>

From the complete information, the number of red-colored cards is 26.

Also, the number of red-colored number cards will be 18.

The cardinality of a set is a measure of a set's size, meaning the number of elements in the set.

Here, the cardinality of set D is 18.

Here is the complete question:

Take a deck of playing cards. Form following sets out of those:

A = Set of Face Cards

B = Set of Red Coloured Face cards

C = Set of Black Coloured Face Cards

D = Set of Red Coloured Number Cards

Find the Cardinality of set D

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

7 0
2 years ago
For a printing company, the cost of printing business cards is a linear function, C(x) = 0.05x + 20, where x is the number of ca
Svetllana [295]

Answer:

80

Step-by-step explanation:

You plug in 1200 for x.

C(1200)=0.05(1200) +20

Then solve. Multiply first then add.

60+20

80

5 0
3 years ago
Can someone help me with this!!! Will give you all my points and brainliest.
Angelina_Jolie [31]

The function is shifted to the right 3 units

a shift to the right is subtracted inside the function

g(x) = f(x-3)

7 0
3 years ago
Which expression is equivalent to 3(2x−4)+4x−2
Readme [11.4K]
I hope this helps you



3.2x-3.4+4x-2


6x-12+4x-2


10x-14
5 0
3 years ago
Read 2 more answers
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