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Andrej [43]
3 years ago
14

the lines whose equations are 7x-3y=1 and 6x+y=8 intersect at one point. What is the x-coordnate at that point

Mathematics
1 answer:
elena55 [62]3 years ago
5 0

Answer:

  x = 1

Step-by-step explanation:

Using the second equation to substitute for y in the first equation will eliminate the y-variable and give you an equation for the x-coordinate.

  y = 8 -6x . . . . second equation solved for y

  7x -3(8 -6x) = 1 . . . . substituted into the first equation

  7x -24 +18x = 1 . . . . eliminate parentheses

  25x = 25 . . . . . . . . add 24

  x = 1 . . . . . . . . . . . . divide by the coefficient of x

The x-coordinate of the point of intersection is 1.

__

<em>Additional comment</em>

The y-coordinate can be found using our equation for y:

  y = 8 -6(1)

  y = 2

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Gennadij [26K]

Answer:

c) .22

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

In this question:

\sigma = 2.5, n = 500

Then

M = z*\frac{\sigma}{\sqrt{n}}

M = 1.96*\frac{2.5}{\sqrt{500}}

M = 0.22

5 0
4 years ago
Axel lives in Virginia and makes $54,000 a year. If the median annual income in Virginia is $61,233 and the median annual income
rusak2 [61]

Answer:

The answer is Yes Axel will qualify for chapter 7 bankruptcy.

Step-by-step explanation:

To qualify for a Chapter 7 bankruptcy, the debtor must earn less than the state median income on a monthly basis. Here it is given that Axel lives in Virginia and makes $54,000 a year. The median annual income in Virginia is $61,233. So, Axel is earning less than the median income. Hence, he will qualify for chapter 7 bankruptcy.

3 0
4 years ago
Read 2 more answers
How is this number read? 18.73
Nana76 [90]

Answer:

18 and 73 hundredths

the number is 18 plus .73 .73 is 73 hundredths

7 0
4 years ago
You sold a combined total of 25 of item A and item B. You made $88. Refer to the prices of these items in the table (in part 4)
Pavlova-9 [17]

19 quantities of item A and 6 of item B were sold, respectively

<h3>How to determine the quantity sold</h3><h3>The missing information in the question are</h3>
  • The cost of item A is $4 and
  • The cost of item B is $2.

Using the information and the given parameters, we have the following system of equations:

A + B = 25

4A + 2B = 88

Multiply the first equation by 2

2A + 2B = 50

Subtract this equation from the second equation to eliminate B

2A = 38

Divide both sides by 2

A = 19

Substitute A = 19 in A + B = 25

19 + B = 25

Subtract 19 from both sides

B = 6

Hence, 19 quantities of item A and 6 of item B were sold, respectively

Read more about system of equations at:

brainly.com/question/14196682

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7 0
2 years ago
Mr. Jackson divided £420 between his children in the ratio of their ages, Mitch is 4 and Jo is 3
3241004551 [841]

Answer:

Mitch=60*4=240

Jo=60*3=180

Step-by-step explanation:

420/7=60

4 0
3 years ago
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