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3 years ago

Which equation could represent the relationship shown in the scatter plot?

Mathematics

1 answer:

Allisa [31]3 years ago

4 0

Y = mx + b, where m is the slope, and b is the y-intercept. If we were to consider a line of best fit that would represent all these points with a linear line, it'd cross the y-axis with a y-value of 10, so we can fill in y = mx + b to y = mx + 10. Now, it runs down from left to right, so we know the slope must be negative. The only equation that fits this description is y= -3/4x + 10

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How many solutions does these equations have? One, infinite or no solutions?

s2008m [1.1K]

Answer:

1. 7(y + 3) = 5y+8: one solution

2. 10 + 6x= 2(5+3x): infinite solutions

3. 3x + 5 - x=2x + 7: no solutions

4. 4x - 4 = 2x + 8: one solution.

Explanation:

1. 7(y+3)=5y+8

a) Distributive property of multiplication over addtion:

7y + 21 = 5y + 8

b) Subtraction property of equalities:

7y - 5y = 8 - 21

c) Combine like terms:

2y = - 13

d) Division property of division:

y = - 13/2

e) Conclusion: the equation has one solution.

2. 10 + 6x = 2(5+3x)

a) Distributive property of multiplication over addition:

10 + 6x = 10 + 6x

b) Subtraction property of equality:

6x - 6x = 10 - 10

c) Simplify (combine like terms)

0 = 0

That is an identity, i.e. that is always true, no matter the value of x.

d) Conclusion: the equation has infinite solutions.

3. 3x + 5 - x = 2x + 7

a) Combine like terms:

2x + 5 = 2x + 7

b) Subtraction property of equalities:

2x - 2x = 7 - 5

c) Combine like terms (simplify)

0 = 2

That is always false, no matter the values of x.

d) Conclusion: the equation does not have any solutions.

4. 4x - 4 = 2x + 8

a) Subtraction property of equality

4x - 2x - 4 = 2x - 2x + 8

b) Combine like terms

2x - 4 = 8

c) Addtiion property of equalities:

2x = 8 + 4

d) Combine like terms (simplify)

2x = 12

e) Division property of equalities:

x = 6

f) Conclusion: the equation has one solution

5 0

4 years ago

Adia is making banners from a roll that is 4.05 meters long she will cut the paper into 3 equal lengths she uses base ten blocks

almond37 [142]

Divide the numbers but 70 has 2 numbers so take the decimal point and move it 2 spaces over and then divide

5 0

3 years ago

Read 2 more answers

(DO NOT PRESS OR ANSWER) What is 1 million plus 6 billion.. do one answer this.

Harman [31]

Answer:

The answer is 6,001,000,000 k

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

500 is what percent of 125?

Cerrena [4.2K]

400% is because 125 divided by 500 is 400

5 0

3 years ago

Read 2 more answers

North Carolina: 79.6 years

Aliun [14]

Answer:

See below

Step-by-step explanation:

Think: They want us to make a box-o-gram (histogram and box-whisker-plot combo).

Identify: They gave us the information we need and we know that health care varies in each state, so that affects the life longevity and also different imcomes affect the care people resceive. We will make the box-o-gram after ordering the data appropriately.

Do: After ordering the numbers from least to greatest, we make calculations for the medians and mean. Here are the answers:

Least: 75 (Need to round up for this)

Greatest: 83 (Need to round up)

Q1: 90.2 (Got this by adding the two numbers of the upper half of data and dividing by 2)

Median/mean: 80.2 (Average of the data)

Q3: 85 (Rounded. Got this by adding the two numbers of the middle half of data and dividing by 2)

Answer:

A: 75

B: 80.2

C: 90.2

D: 85

E: 83

Yes, this makes sense since the data on the box-o-gram fall within the data given in the chart at the top of the worksheet.

5 0

3 years ago