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vovikov84 [41]
4 years ago
15

What is the equation of the line, in slope-intercept form, that contains the points (−1, 4) and (2, −5)?

Mathematics
1 answer:
Dafna11 [192]4 years ago
7 0
The\ slope-point\ form:y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\The\ slope-intercept\ form:y=mx+b\\--------------------\\(-1;\ 4)\to x_1=-1\ and\ y_1=4\\(2;-5)\to x_2=2\ and\ y_2=-5\\\\m=\dfrac{-5-4}{2-(-1)}=\dfrac{-9}{3}=-3\\\\y-4=-3(x-(-1))\\y-4=-3x-3\\\\\boxed{y=-3x+1}
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Sandra wants to give a party for 60 people. She has a punch recipe that makes 2 gallons of punch and serves 15 people. How many
zmey [24]

Answer:

8 gallons

Step-by-step explanation:

#1: Set up a ratio from the recipe: gallons of punch to the number of people.

2 gallons 15 people

#2: Set up a ratio of gallons to the people coming to the party.

(Place the gallons on top) x gallons 60 people

#3: Set up a proportion 2 gallons       x gallons

                                       15 people  =    60 people

* Like units should be across from each other

4) Solve using the "lonely mate" formula

2 gallons           x gallons

15 people  =     60 people

2 x 60 = 120

120/15 = 8

This means she should make 8 gallons.

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3 years ago
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Sliva [168]
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7 0
3 years ago
The table shows the results for spinning the spinner 50 times. What is the relative frequency for the event "spin a 4"? 2 4 Expe
tekilochka [14]
<h3>Answer:  6/25</h3>

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Explanation:

The table shows the spinner lands on "4" exactly 12 times out of the 50 total.

12/50 = (2*6)/(2*25) = 6/25

In decimal form that is 6/25 = 0.24 which converts to 24%

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8 0
4 years ago
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Joakim is icing 30 cupcakes he spreads mint icing on one fifth of the cupcakes and chocolate on one half of the cup remaining cu
evablogger [386]

Answer:

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Step-by-step explanation:

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The other half of those remaining is also 12 cupcakes. So, 12 cupcakes will get vanilla icing.

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