Find the y-intercept of the following equation. Simplify your answer. 8x

100 Points! What are the classifications of each system?

alexdok [17]

Answer:

Part 1) Is a inconsistent system

Part 2) Is a consistent independent system

Part 3) Is a consistent dependent system

see the attached figure

Step-by-step explanation:

we know that

If a system has at least one solution, it is said to be consistent .

If a consistent system has exactly one solution, it is independent .

If a consistent system has an infinite number of solutions, it is dependent

If a system not have solution, it is said to be inconsistent

Part 1) we have

$x+5y=-2\\x+5y=4$

This system of linear equations has two parallel lines (their slopes are equal) with different y-intercept

so

The lines don't intersect

The system has no solution

therefore

Is a inconsistent system

Part 2) we have

$y=3x+4\\-2x+y=4$

we know that

If two lines have different slopes, then the lines intersect at one point and the system of equations has one solution

In this problem, the lines have different slopes (m=3 and m=2)

so

The lines intersect at one point

The system has one solution

therefore

Is a consistent independent system

Part 3) we have

$3x+y=4$ ----> equation A

$-6x-2y=-8$ ----> equation B

Multiply equation A by -2 both sides

$-2(3x+y)=-2(4)$

$-6x-2y=-8$ ----> equation C

Compare equation B and equation C

Are identical lines

so

The system has infinity solutions

therefore

Is a consistent dependent system

4 0

3 years ago

Keanu and Jeremy sold 25 boxes of popcorn for fundraiser Tiana so 60% of the boxes how many boxes did each cell

Simora [160]

Answer:

Tiana sold 15 boxes and Jeremy and Keanu sold 10

Step-by-step explanation:

60% of 25 = 15

25 - 15 is 10

This is the way I understand the problem.

7 0

2 years ago

Determine the intervals on which the function is increasing, decreasing, and constant

max2010maxim [7]

I believe it's increasing on all fronts, because if you start from the right, you see that the y values always increase, hence they are increasing. They do it for when x<0 and when x>0. So, it should be increasing on all real numbers

3 0

3 years ago

Read 2 more answers

If u took a test that had 150 questions on it but didn’t finish 27 of the questions, what percentage of the questions did u answ

Alenkinab [10]

Answer:

82%

Step-by-step explanation:

Total number of questions = 150

Questions not answered = 27

questions answered = 150 - 27 = 123

percent questions answered

= (questions answered / total questions ) x 100%

= (123/150) x 100%

= 82%

6 0

3 years ago

A survey of 25 grocery stores revealed that the mean price of a gallon of milk was $2.98, with a standard error of $0.10. What i

Gnesinka [82]

Answer:

95% confidence interval: (2.784,3.176)

Step-by-step explanation:

We are given the following information in the question:

Sample size, n = 25

Sample mean = $2.98

Standard error = $0.10

Alpha = 0.05

95% confidence interval:

$\mu \pm z_{critical}(\text{Standard error})$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

$2.98 \pm 1.96(0.10) = 2.98 \pm 0.196 = (2.784,3.176)$

5 0

2 years ago

Find the y-intercept of the following equation. Simplify your answer. 8x - 3y = -3​

Find the y-intercept of the following equation. Simplify your answer. 8x - 3y = -3