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spayn [35]
2 years ago
13

What is the solution of the following system of linear equations? y = x - 7 2y + x=1

Mathematics
1 answer:
andrew-mc [135]2 years ago
5 0

Answer:

x=5

y=-2

Step-by-step explanation:

I just took this!

Hope I helped

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Solve 8x+2y=13 and 4x+y=11 using substitution
Aleonysh [2.5K]

Answer:

No Solution

Step-by-step explanation:

8x+2y=13                         4x+y=11               Subtract 4x on both sides to isolate y

                                        y=-4x+11       <---- Substitute this equation into the                                            

                                                                     equation 8x+2y=13

8x+2(-4x+11)=13

8x-8x+22=13

22=13 (not true)

No Solution          

                     

4 0
3 years ago
Evaluate the following expression.
melisa1 [442]

Answer:

40

Step-by-step explanation:

y = 4

z = 2

8y + 12 - 2z

8(4) + 12 - 2(2)

32 + 12 - 4

44 - 4

40

8 0
2 years ago
Read 2 more answers
A research team conducted a study showing that approximately 20% of all businessmen who wear ties wear them so tightly that they
ch4aika [34]

The probabilities that the at least one tie is too tight is 0.878 and more than two ties are too tight is 0.323 and none are too tight is 0.122 and at least 18 are NOT too tight is 0.67.

According to the statement

We have given that the in a survey showing that the approximately 20% of all businessmen who wear ties wear them so tightly that they actually reduce blood flow to the brain.

And we have to find the probability on the some given conditions.

So, For this purpose, we know that the

The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event.

Now,

A. Here n = 20, P = 0.1, And  X ≥ 1. Then

The probability that at least one tie is too tight P(≥ 1) = 1 - P(0)

P(≥ 1) = 1 - 0.12

P(≥ 1) = 0.878.

And

B. Here P(≤2) = 0.67 Then

The probability that more than two ties are too tight P(≥ 3) = 1 - P(≤2)

P(≥ 3) = 1 - 0.67

P(≥ 3) = 0.323

And

C. The probability that none are too tight P(0) = 0.122.

And

D. Here n =20, P = 0.1 and X≤2

The probability that at least 18 are NOT too tight P(X≤2) = 0.67.

So, The probabilities that the at least one tie is too tight is 0.878 and more than two ties are too tight is 0.323 and none are too tight is 0.122 and at least 18 are NOT too tight is 0.67.

Learn more about probabilities  here

brainly.com/question/24756209

Disclaimer: This question was incomplete. Please find the full content below.

Question:

A research team conducted a study showing that approximately 20% of all businessmen who wear ties wear them so tightly that they actually reduce blood flow to the brain, diminishing cerebral functions. At a board meeting of 15 businessmen, all of whom wear ties, what are the following probabilities

A. What is the probability that at least one tie is too tight?

B. What is the probability that more than two ties are too tight?

C. What is the probability that none are too tight?

D. What is the probability that at least 18 are NOT too tight?

#SPJ4

4 0
1 year ago
Write 4x2(–2x2 + 5x3) in standard form. Then classify it by degree and number of terms.
umka2103 [35]
20x^5-8x^4 polynomial of the 5th degree, with two terms.

Distribute 4x^2(–2x^2 + 5x^3) to get –8x^2 + 20x^5. Reorder in standard form 20x^5-8x^4.  5 is the highest exponent so it is the 5th degree, there are two terms because terms are separated by a plus or minus.
3 0
3 years ago
The longest side of a triangle is 5 inches. Longer than the shortest side. The medium side is 4 inches. Longer than the shortest
Llana [10]

Answer:

The answer to your question is L = 10 in , M = 9 in ; S = 5 in

Step-by-step explanation:

Data

longest side = 5 + x in

medium side = 4 + x in

shortest side = x

Perimeter = 24 in

Process

1.- Write and equation to solve this problem

    Perimeter = longest side + medium side + shortest side

Substitution

             24 = (5 + x) + (4 + x) + x

Simplification

            24 = 5 + x + 4 + x + x

            24 = 9 + 3x

            24 - 9 = 3x

                  15 = 3x

                   x = 15/3

                   x = 5

2.- Calculate the lengths of the side

Longest side = 5 + 5 = 10 in

Medium side = 5 + 4 = 9 in

Shortest side = 5 in

6 0
3 years ago
Read 2 more answers
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