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3 years ago

Solve the system of linear equations.

Mathematics

1 answer:

icang [17]3 years ago

7 0

Answer: The set does not have a solution

Step-by-step explanation:

Adding Equations 1 & 3 we get 5x = 7. This gives x = 7/5

Putting this value of x in eq. 2 we get

-2y + 2z = -1-(7/5) or

2y - 2z = 12/5 or 5y - 5z = 6

Multiplying eq. 1 by 2 we get

4x + 2y - 2z = 6

adding this with eq. 2 we get 5x = 5 or x = 1

As the common solution for x from equations 1&3 does not satisfy eq. 1&2 it comes out that the three equations do not have a common solution.

Same can be verified by using different sets of two equations also.

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In which quadrant is the point (-2, -9)?

myrzilka [38]

Answer:

3rd quadrant

Step-by-step explanation:

Given:

Point (-2, -9)

Computation:

In 1st quadrant (+ , +)

In 2nd quadrant (- , +)

In 3rd quadrant (- , -)

In 4th quadrant (+ , -)

So given point (-2, -9) is in 3rd quadrant.

4 0

2 years ago

Need the answer please 3 please answer

photoshop1234 [79]

Answer:

Positive 8

Step-by-step explanation:

The end value of -(-8) would be positive eight because when you multiply a negative by a negative, you get a positive value.

This question is essentially -1 times -8, which would equal 8

(The answer would be: 8)

I hope this helps!

7 0

2 years ago

When they are both racing on hoverboards, Victoria is 3 times as fast as her brother Max. When she is on foot, she is 3 times sl

NARA [144]

Answer:

Race completed in 48 minutes.

Step-by-step explanation:

Let the speed of Max on hoverboard is = x

Then as per question speed of Victoria on hoverboard = 3x

Now it has been given in the question that speed of Victoria on foot is 1/3 of the speed of Max on hoverboard that will be = x/3

Now we will form the equation.

As we know the formula speed = distance/time

Let the time taken by both to complete the race be t minutes.

Distance covered by Victoria in 12 minutes + Distance covered by Victoria on foot = distance covered by Max on hoverboard

Then the equation will be

12(3x)+(1/3)x(t-12)=xt

$36x+\frac{xt}{3}-4x=xt$

$x(36+\frac{t}{3}-4)=xt$

$36+\frac{t}{3}-4=t$

$32=t-\frac{t}{3}$

$\frac{2t}{3}=32$

$t=\frac{(32)3}{2}=48$

So 48 minutes it took to complete the race.

4 0

3 years ago

Read 2 more answers

A runner runs 8 miles in 92 minutes. What is the runner's unit rate.

scoundrel [369]

11.5 minutes per mile

7 0

3 years ago

g Recall the example about community college students and gender. Statistics students surveyed 135 students at Tallahassee Commu

bixtya [17]

Answer:

They can either decrease the confidence level or increase the sample size, that is, survey more students.

Step-by-step explanation:

The width of a confidence interval is given by:

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

In which z is the critical value correponding to the confidence level(higher confidence level, higher z is), $\sigma$ is the standard deviation of the population and n is the size of the sample.

The students realize that this interval contains a large margin of error. What can they do to make a narrower interval?

Looking at the formula for M, they can either decrease the confidence level or increase the sample size, that is, survey more students.

4 0

3 years ago