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2 years ago

-2x+5y=-15 5x+2y=-6 what is the solution

1 answer:

5 0

<h2>Greetings!</h2><h3>To solve this, you can multiply one of the equations by a number so that one of the unknown values are the same as the other equation. Or simply multiply both numbers before the x together:</h3>

(-2x + 5y = -15 ) x 5 =

-10x + 25y = -75

(5x+2y=-6) x -2 =

-10x -4y = 12

<h3>Now, you can add or minus the two equations, but seeing as both values before the x are negative we can add the two equations to cancel out the x:</h3>

-10x -4y = 12 +

-10x + 25y = -75 =

0x + 21y = -63

21y = -63

<h3>Simply divide -63 by 21 to find y:</h3>

-63 ÷ 21 = -3 , so the value of y = -3

<h3>Now you can substitute this value into one of the equations:</h3>

5x + 2y = -6

5x + 2(-3) = -6

5x = -6 - (-6)

5x = -6 + 6

5x = 0

x = 0

<h3>So that means x = 0 and y = -3</h3>
<h2>Hope this helps!</h2>

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2 years ago

In a school survey, three homerooms are chosen and 10 students from each homeroom are randomly chosen to complete the survey. Id

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Answer:

This sampling method used in this question is the stratified sampling method.

Step-by-step explanation:

There are about 5 known sampling methods.

- Random Sampling

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- Systematic sampling

This is easier than random sampling. In systematic sampling, a particular number, n, is counted repeatedly and each of the nth student is picked to be sampled.

- Convenience Sampling

This is the worst sampling technique. It is also the easiest. In Convenience sampling, the surveyor just surveys the first set of students that they find.

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Cluster Sampling divides the population into groups which are called clusters or blocks. The clusters are selected randomly, and every element in the selected clusters is surveyed.

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6 0

2 years ago

The face of a triangular shaped guitar has an area of 52 in.² and a height of 13 inches. Write an equation to find the length of

Neko [114]

Area of a triangle can be calculated as:

Area = 0.5 x Base x Height

Area is given to be 52 in²
Height is 13 inches.
We are to find the base b of the triangular shaped guitar.

Using the values in above formula, we get:

$52=0.5(13)(b) \\ \\ 
b= \frac{52}{0.5(13)} \\ \\ 
b=8$

Thus the base of triangular shaped guitar will be 8 inches.

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3 years ago

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The number of visitors to an art museum increases each year. The function V(t) = N(1 + r)t represents the number of visitors to

IrinaVladis [17]

Answer:

Option A - The number of visitors is multiplied by (1+r) each year

Step-by-step explanation:

Given : The number of visitors to an art museum increases each year. The function $V(t) = N(1 + r)^t$ represents the number of visitors to the museum at year t, where N is the number of visitors in year 0 and r is the rate of increase.

To find : Select the correct statement?

Solution :

We have given an exponential function,

The function $V(t) = N(1 + r)^t$ represents the number of visitors to the museum at year t, where N is the number of visitors in year 0 and r is the rate of increase.

As In year 0,

The initial visitors is $V(t) = N(1 + r)^0=N$

In year 1,

$V(t) = N(1 + r)^1=N(1+r)$

In year 2,

$V(t) = N(1 + r)^2$

So, According to this the number of visors is multiplied by (1+r) each year.

Therefore, Option A is correct.

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3 years ago

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