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Viktor [21]
3 years ago
13

Determine the equation of the line that goes through points (1.1) and (3.7).

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
4 0

Answer:

The equation of the line that goes through points (1,1) and (3,7) is \mathbf{y=3x-2}

Step-by-step explanation:

Determine the equation of the line that goes through points (1,1) and (3,7)

We can write the equation of line in slope-intercept form y=mx+b where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding Slope

Slope can be found using formula: Slope=\frac{y_2-y_1}{x_2-x_1}

We have x_1=1, y_1=1, x_2=3, y_2=7

Putting values and finding slope

Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{7-1}{3-1}\\Slope=\frac{6}{2}\\Slope=3

We get Slope = 3

Finding y-intercept

y-intercept can be found using point (1,1) and slope m = 3

y=mx+b\\1=3(1)+b\\1=3+b\\b=1-3\\b=-2

We get y-intercept b = -2

So, equation of line having slope m=3 and y-intercept b = -2 is:

y=mx+b\\y=3x-2

The equation of the line that goes through points (1,1) and (3,7) is \mathbf{y=3x-2}

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Answer:

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Step-by-step explanation:

All you really need to do is Add 9 to 5 then you get your answer from 14.

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3 years ago
Which ordered pair is a solution to the system of inequalities ? (1, –5) (3, 0) (–1, –2) (1, 5)
Musya8 [376]

Point (3,0) is system solution.

<h3>What is inequality?</h3>

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

We have

y> -2

x + y <4

  • For (1,-5):

First inequation:

-5> -2 (incorrect)

Second inequality:

1-5 <4 (correct)

  • For (3,0):

First inequation:

0> -2 (correct)

Second inequality:

0+3 <4 (correct)

  • For (-1,-2):

First inequation:

-2> -2 (incorrect)

Second inequality:

-1-2 <4 (correct)

  • For (1,5):

First inequation:

5> -2 (correct)

Second inequality:

1+5 <4 (incorrect)

Hence, Point (3,0) is system solution.

Learn more about inequality here:

brainly.com/question/20383699

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7 0
2 years ago
Aaron selected items totaling 48.75 at the farmerś market. he gave the farmer $60.00. She incorrectly gave him $12.25 in change.
Stolb23 [73]

Answer:

$11.25

Step-by-step explanation:

You give the farmer $60.00 and you subtract $48.75 = $11.25

Therefore the farmer gave you $1.00 more.

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3 years ago
1.)34°C=__°F<br>2.)94.6°F=__°C<br>3.)80°F=__°C<br>4.)42°C=__°F<br>5.)18°C=__°F​
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Answer:

Answer:

Step-by-step explanation:

1.)93.2F

2.)34.78°C

3.)26.67°C

4.)107.6°F

5.)64.4°F

I hope it's helpful!

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3 years ago
At the movie theatre, child admission is $6.20 and adult admission is $9.30 . On Monday, 157 tickets were sold for a total sales
Andre45 [30]
C = child tickets
a= adult tickets

c + a = 157
6.20c + 9.30a = 1178.00

6.20c + 9.30a = 1178.00
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3.10a = 204.60

a = 66 adult tickets

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-66. -66

c= 91 child tickets
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3 years ago
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