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levacccp [35]
2 years ago
6

Write the equation of the line in fully simplified slope intercept form

Mathematics
1 answer:
yan [13]2 years ago
8 0

The equation of the given line is y = 5/6x - 2

The standard equation of a line in slope-intercept form is expressed as

y = mx + b

m is the slope of the line

b is the y-intercept

Using the coordinate point (0, -2) and (-6, 3)

Slope m = 3-(-2)/-6-0

m = 5/6

Since the line cuts the y-axis at y = -2, hence the y-intercept is -2.

Find the equation of a line;

y = mx + b

y = 5/6x + (-2)

y = 5/6x - 2

Hence the equation of the given line is y = 5/6x - 2

Learn more on equation of a line here: brainly.com/question/7098341

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Alexis, Becca, and Cindy do volunteer work at Adopt-a-Pet Animal Shelter. They worked a total of 285 hours at the shelter last s
swat32

Alexis worked for 59 hours, Becca worked for 74 hours and Cindy worked for 152 hours.

Step-by-step explanation:

Given,

Total hours worked by three of them = 285 hours

Let,

x represent the hours of Alexis.

y represent the hours of Becca.

z represent the hours of Cindy.

According to given statement;

x+y+z=285    Eqn 1

Alexis worked 15 hours less than Becca.

x = y-15         Eqn 2

z = 2y+4        Eqn 3

Putting value of x and z from Eqn 2 and 3 in Eqn 1

(y-15)+y+(2y+4)=285\\y-15+y+2y+4=285\\4y-11=285\\4y=285+11\\4y=296

Dividing both sides by 4

\frac{4y}{4}=\frac{296}{4}\\y=74

Putting y=74 in Eqn 2

x=74-15\\x=59

Putting y=74 in Eqn 3

z=2(74)+4\\z=148+4\\z=152

Alexis worked for 59 hours, Becca worked for 74 hours and Cindy worked for 152 hours.

Keywords: linear equation, division

Learn more about division at:

  • brainly.com/question/9510228
  • brainly.com/question/9443926

#LearnwithBrainly

3 0
3 years ago
Help me !!!!!!!!!!!!!!!!!!!!
True [87]

Answer:

0 isnt a number loll

Step-by-step explanation:

B

6 0
3 years ago
If f(x)= 3x + 4, then what is f(-2)
iren [92.7K]

Answer:

f ( - 2 ) = - 2

Step-by-step explanation:

Step 1:

f ( x ) = 3x + 4        Equation

Step 2:

f ( - 2 ) = 3 ( - 2 ) + 4     Input x value

Step 3:

f ( - 2 ) = - 6 + 4       Combine Like Terms

Answer:

f ( - 2 ) = - 2          Combine Like Terms

Hope This Helps :)

6 0
3 years ago
Ann studied the effects of watching television on time spent exercising
34kurt

The response variable in the study that Ann has done here can be said to be Time spent exercising.

<h3>What is a response variable?</h3>

This is the name that is used to refer to the dependent variable. This is the variable that is of interest in the study. The goal is to see the changes that occurs in the particular variable based on the actions that another variable would have such as the independent variable.

From this we can see that The response variable in the study that Ann has done here can be said to be Time spent exercising.

Read more on response variable here:

brainly.com/question/22046153

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8 0
1 year ago
Explain why there are infinitely many solutions to the equation<br> sin X = 1/2
Soloha48 [4]

Answer:

Well, everything can be turned into a half.

Step-by-step explanation:

7 0
2 years ago
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