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4 years ago

Write an equation in slope-intercept form for the line passing through (–1, 10) and (5, 8).

Mathematics

1 answer:

Rus_ich [418]4 years ago

4 0

An equation for the line passing through those points is Y=-1/3x+29/3

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Three merchants find a purse lying in the road. The first asserts that the discovery would make him twice as wealthy as the othe

Angelina_Jolie [31]

Answer: the system of equation would be :

A + Y = 2 (B+C)

B + Y = 3B

C + Y = 5C

the three merchants would have 10 dollars, 10 dollars, and 5 dollars respectively

Step-by-step explanation:

before finding the purse, lets assume the wealth of the 3 merchants were as follows:

first merchant = A dollars

second merchant = B dollars

third merchant = C dollars

lets assume the purse contained Y dollars

After finding the purse they all claimed they would have the following:

first merchant said adding the money in the purse to his wealth would make him twice as rich as the other two combined : A + Y = 2 (B+C)

second merchant said adding the money in the purse to his wealth would make his wealth triple : B + Y = 3B

third merchant said adding the money in the purse to his wealth would make his wealth increase five folds : C + Y = 5C

third merchant = C dollars

therefore the system of equations to represent the problems are:

A + Y = 2 (B+C)

B + Y = 3B

C + Y = 5C

2. now when the money in the purse is 20 dollars (Y= 20 dollars ), from the equations above

the second merchant will have :

B + Y = 3B

B + 20 = 3B

3B - B = 20

2B = 20

B = 10 dollars

the third merchant will have :

C + Y = 5C

C + 20 = 5C

5C - C = 20

4C = 20

C = 5 dollars

the first merchant will have :

A + Y = 2 (B+C)

A + 20 = 2 ( 10 + 5)

A = 2 (15) - 20

A = 30 - 20

A = 10 dollars

8 0

4 years ago

Nissan wants to administer a satisfaction survey to its current customers. Using their customerâ€‹ database, the company randoml

Irina-Kira [14]

Answer: simple random sampling

Step-by-step explanation:

A simple random sampling is a sampling method in which individuals are chosen randomly from the population. In this each individual has equal chances to get selected.

If N is the population size , then for any individual , the chances for getting selected is $\dfrac{1}{N}$ .

As per given , the company randomly selects 50 customers directly from the database without applying any further steps and asks them about their level of satisfaction with the company.

Thus , the sampling technique used here is simple random sampling.

3 0

4 years ago

What is the area of the parallelogram? A parallelogram with a base of 14 centimeters and a height of 5 centimeters.

oksano4ka [1.4K]

Answer:

<h3>The answer is 70cm²</h3>

Step-by-step explanation:

Area of a parallelogram = base × height

From the question

base = 14 cm

height = 5 cm

Substituting the values into the above formula we have

Area = 14 cm × 5 cm

Hope this helps you

6 0

3 years ago

Can someone please explain why this is incorrect? Isn’t (2x+5)(x+1) the same as (x+1)(2x+5)?

Ne4ueva [31]

Answer:

2(2x+5) (x+1) = 2(x+1)(2x+5)

Step-by-step explanation:

4x^2 +14x+10

Factor out the 2

2(2x^2 +7x+5)

2(2x+5) (x+1)

You need to keep the 2 that you factored out

2(2x+5) (x+1) = 2(x+1)(2x+5) by the Commutative Property of Multiplication

4 0

4 years ago

7 more than d is equal to 19

galben [10]

7+d=19 is the answer

subtract 7 from each side d=19-7

d=12

4 0

3 years ago

Read 2 more answers