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agasfer [191]
3 years ago
6

Which graph shows the solution to the system of linear inequalities? x – 4y < 4 y < x + 1 Image for option 1 Image for opt

ion 2 Image for option 3 Image for option 4

Mathematics
1 answer:
slava [35]3 years ago
7 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

x-4y ----> inequality A

solve for y

-4y

4y>x-4

y> (x/4)-1

The solution of the inequality A is the shaded area above the dashed line

The slope of the dashed line is positive

The y-intercept is the point (0,-1)

The x-intercept is the point (4,0)

y< x+1 ----> inequality B

The solution of the inequality B is the shaded area below the dashed line

The slope of the dashed line is positive

The y-intercept is the point (0,1)

The x-intercept is the point (-1,0)

Using a graphing tool

The solution of the system of inequalities in the attached figure

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10k to the third power + 8k to the second power + 10 divided by (k+1)
torisob [31]
10k^4+10k^3+8k^2+8k+10/k+1 not sure if this is what you are looking for or not hope it helps
6 0
3 years ago
What is the equation of the line that passes through (4, 2) and is parallel to 3x – 2y = -6?
Dmitrij [34]

Answer:

y = \frac{3}{2} x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3x - 2y = - 6 into this form

Subtract 3x from both sides

- 2y = - 3x - 6 ( divide all terms by - 2 )

y = \frac{3}{2} x + 3 ← in slope- intercept form

with slope m = \frac{3}{2}

• Parallel lines have equal slopes, hence

y = \frac{3}{2} x + c ← partial equation of parallel line

To find c substitute (4, 2) into the partial equation

2 = 6 + c ⇒ c = 2 - 6 = - 4

y = \frac{3}{2} x - 4 ← equation of parallel line

3 0
3 years ago
One small tank takes twice as long to fill a tank as a larger pipe does. If it takes the two pipes 40 minutes to fill the tank w
Gala2k [10]
Um... it'll take each pipe 80 mins, bcz if together they take that long, then to find the pipes time separately, you just multiply it by two to show it doing the work the other pipe did as well. Is that what you wanted??

8 0
3 years ago
What is f=kry, for y
geniusboy [140]
F = kry

f/kr = y

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Answer: y = f/kr

*Hope that helps and enjoy Brainly:)
7 0
3 years ago
Ningbo Shipping has issued preferred stock at its $125 per share par value. The stock will pay a $15 annual dividend. The cost o
katen-ka-za [31]

Answer:

The cost of Ningbo Shipping Preferred stock is 12.40%

Step-by-step explanation:

In this question, we are asked to calculate the cost of Ningbo shipping Preferred stock.

To calculate this, we make use of the following mathematical relation;

The cost preferred stock Kp = Annual dividends/ Issued price-Cost of Issuing

From the question, we identify the following;

Issued price = $125

Annual dividend = $15

Cost of Issuing = $4

Inserting these into the formula we have;

Kp = $15/$125 - $4 = 12.40%

This means that Cost of Ningbo shipping preferred stock is 12.40%

5 0
3 years ago
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