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Vikentia [17]
2 years ago
10

Graph a line with a slope of -2/5 that contains the point (-3,5)

Mathematics
1 answer:
kotykmax [81]2 years ago
4 0

y=-\frac{2}{5}x+\frac{19}{5}

Further explanation:

We have to find the equation of the line first to graph the line.

The general form of slope-intercept form of equation of line is:

y=mx+b

Given

m=-\frac{2}{5}

Putting the value of slope in the equation

y=-\frac{2}{5}x+b

To find the value of b, putting the point (-3,5) in equation

5=-\frac{2}{5}(-3)+b\\5=\frac{6}{5}+b\\5-\frac{6}{5}+b\\b=\frac{25-6}{5}\\b=\frac{19}{5}

Putting the values of b and m

y=-\frac{2}{5}x+\frac{19}{5}

The graph is made by using online graphing tool Desmos.

Keywords: Equation of line, graph of line

Learn more about graphs at:

  • brainly.com/question/1557905
  • brainly.com/question/1554024

#LearnwithBrainly

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a previous analysis of paper boxes showed that the standard deviation of their lengths is 15 millimeters. A packers wishes to fi
vladimir1956 [14]

Answer:

864.36 boxes

Step-by-step explanation:

In the question above, we are given the following values,

Confidence interval 95%

Since we know the confidence interval, we can find the score.

Z score = 1.96

σ , Standards deviation = 15mm

Margin of error = 1 mm

The formula to use to solve the above question is given as:

No of boxes =[ (z score × standard deviation)/ margin of error]²

No of boxes = [(1.96 × 15)/1]²

= 864.36 boxes

Based on the options above, we can round it up to 97 boxes.

8 0
2 years ago
A teacher reviews 4-1/2 papers per hour, how many papers will that teacher review in 6-1/3 hours
MrRa [10]

Answer:

28\frac{1}{2}\ papers

Step-by-step explanation:

step 1

Convert mixed numbers to an improper fractions

4\frac{1}{2}=\frac{4*2+1}{2}=\frac{9}{2}

6\frac{1}{3}=\frac{6*3+1}{3}=\frac{19}{3}

step 2

we know that

A teacher reviews 9/2 papers per hour

using proportion

Find how many papers will the teacher review in 19/3 hours

Let

x-----> the number of papers

(9/2)/1=x/(19/3)

x=(19/3)(9/2)

x=28.5\ papers

Convert to mixed numbers

28.5=28\frac{1}{2}\ papers

5 0
2 years ago
Diane reed had office supply sales of $3,285 this month. this is a 78% of last months supply sales. what was the amount of last
Hoochie [10]

To solve this problem, we can set up an equation, letting the unknown value of last month's supply sales be represented by the variable x.

First, we must convert 78% to its decimal equivalent, by dividing 78/100. This is because percentages are parts of a whole 100 percent.

78/100 = 0.78

Now, we are ready to set up our equation, using our knowledge that the word "of" refers to multiplication in mathematics.

3,285 = 0.78x

To solve our equation, we must divide both sides of the equation by 0.78 to get the variable x alone on the right side of the equation.

x = 4211.53846154

This means that last month's supply sales were about $4,211.54 (we round the last digit up because 8 is greater than 5).

Hope this helps!


8 0
2 years ago
It takes for three gardeners 90 minutes to weed a garden. If the job is to be done in only 15 minutes, how many more gardeners n
andrezito [222]
3 gardeners :90 minutes
? Gardeners : 15 minutes
1 gardener : 270 minutes
? Gardeners : 270/15
18 gardeners
6 0
2 years ago
Read 2 more answers
Which of these is another way to write the function f(x)=5x?
Alexxx [7]

Answer:

d

Step-by-step explanation:

when f(x)=5......It can also be

f(x)=1/125(625x)

every whole number over one...1(625x)=625x

also 125(1)=125 therefore (625/125)x=5x

6 0
2 years ago
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