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oee [108]
3 years ago
14

Choose the equivalent system of linear equations that will produce the same solution as the one given below 4x-y=-11 2x+3y=5

Mathematics
1 answer:
julsineya [31]3 years ago
8 0

Answer: x = -2 , y = 3

Step-by-step explanation:

4x-y=-11

2x+3y=5

Solve 4x-y=-11 for y

Add -4x to both sides

4x-y+-4x=-11+-4x

-y=-4x-11

Divide both sides by -1

-y/-1=-4x-11/-1

y=4x+11

Substitute 4x+11 for y in 2x +3y=5

2x+3y=5

2x+3(4x+11)=5

Simplify both sides of the equation

14x+33=5

Add -33 to both sides

14x+33+-33=5+-33

14x=-28

Divide both sides by 14

14x/14=-28/14

x=-2

Substitute -2 for x in y= 4x+11

y=4x+11

y=(4)(-2)+11

Simplify both sides of the equation

y=3

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A telemarketing company calls telephone numbers chosen at random. It finds that 30% of calls are not completed (the party does n
cupoosta [38]

Answer:

21%

Step-by-step explanation:

Actually there are three levels of process here.

If 100 calls are made only 70 calls are completed (since 30%not completed)

Out of these 70 completed we find that 40% i.e. 28 calls to a woman and 30% i.e. 21 go to a man.

28 females and 21 males

Out of 28 females 45% buy something =0.45*28=12.6

Out of 21 males 40% buy something = 0.4*21=8.4

Total percent of calls result in a sale = 12.6+8.4=21

So 21% of calls result in a sale

7 0
3 years ago
How many minutes has Mary walked when she reaches The farthest point from her house
tigry1 [53]
The answer would be 10 minutes. If you look at the highest point from distance and you go down to the time it lands on 10.
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5 0
3 years ago
Which shows the graph of the solution set of 2x+3y≤6?
mel-nik [20]

Answer:

Option (a) is correct.

Step-by-step explanation:

 Given : equation  2x + 3y ≤ 6

We have to choose out of given option the graph that shows the graph of the solution set of 2x + 3y ≤ 6

Consider the given equation   2x + 3y ≤ 6

We first find the points where the equation cut x- axis and y-axis.

Thus,

For x - axis  put y = 0 ,

We get   2x + 3(0) ≤ 6 ⇒  2x  ≤ 6 ⇒ x ≤ 3

Thus, point (3,0)

For y - axis  put x = 0 ,

We get   2(0) + 3y ≤ 6 ⇒  3y  ≤ 6 ⇒ y ≤ 2

Thus, point (0,2)

For region we  choose a test point and find the value of x and y on that test point and  check whether it satisfy the inequality satisfies or not.

Consider the point (0, 0) , then inequality becomes,

2(0) + 3(0) ≤ 6  ⇒  0  ≤ 6 (true)

Hence, region below the line will be considered.

Thus, Option (a) is correct.

6 0
3 years ago
Read 2 more answers
Choose the correct simplification and demonstration of the closure property given: (3x3 + 2x2 − 5x) − (8x3 − 2x2). 5x3 + 2x2 + 5
cricket20 [7]

Answer:

Answer C

−5x3 + 4x2 − 5x; is a polynomial

Step-by-step explanation:

you just use distributive property to simplify, and then you know the closure property demonstrates that when you are adding, subtracting, multiplying, or dividing two polynomials, they will remain polynomials.

pls mark branliest

4 0
3 years ago
Read 2 more answers
As an example, 15,000 Men 18-34 watched program X at 7-8 pm on Monday night. 32,000 Men 18-34 had their TV on during the same ti
miv72 [106K]

Answer:

7.5 rating points

Step-by-step explanation:

The computation of the rating for Men 18-34 for program X is shown below:

Given that

Number of men 18 -34 watched a program X = 15,000 = X

Number of men 18 - 34 watched in a same time = 32,000

And, the total households in the market = 200,000 = Y

So, the rating for men 18-34 for program x is

= \frac{X}{Y}

= \frac{15,000}{200,000}

= 7.5 rating points

We simply applied the above formula

3 0
3 years ago
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