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2 years ago

Use addition to solve the linear system of equations. Include all of your work in your final answer.

Mathematics

1 answer:

lys-0071 [83]2 years ago

7 0

Answer:

x=-12, y = 8

Step-by-step explanation:

-x-y=4

x+2y=4

Add these two equations together to eliminate x

-x-y=4

x+2y=4

-----------------

y=8

Now we need to find x

x+2y =4

Substitute y in

x +2(8) =4

x+16 =4

Subtract 16 from each side

x+16-16 =4-16

x=-12

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Find the variance of this probability distribution. Round to two decimal places.

attashe74 [19]

Answer:

Variance = 4.68

Step-by-step explanation:

The formula for the variance is:

$\sigma^{2} =\frac{\Sigma(X- \mu)^{2}}{N} \\or \\ \sigma^{2} =\frac{\Sigma(X)^{2}}{N} -\mu^{2} \\$

Where:

$X: Values \\\mu: Mean \\N: Number\ of\ values$

The mean can be calculated as each value multiplied by its probability

$\mu = 0*0.4 + 1*0.3 + 2*0.1+3*0.15+ 4*0.05=1.15$

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3 years ago

Which is the graph of the linear inequality y<3x+1

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Answer:

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3 years ago

How much simple interest is earned on an investment of 1,250 if the money is invested for 5 years at an annual interest rate of

Alekssandra [29.7K]

<h3>Answer: $281.25</h3>

Work Shown:

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2 years ago

To cut a lawn, Allan charges a fee of $15 for his equipment and $8.50 per hour spent cutting a lawn. Taylor charges a fee of $12

777dan777 [17]

Answer:

Step-by-step explanation:

Let y be the total charge and x no of hours spent for cutting the lawn,

Then for Allan we have the equation as

y = 8.50x+15

SInce 15 is the fixed charge and 8.50 is charged per hour we get the above equation for Allan.

Next similarly for Taylor, we have fixed charges 12 and variale 9.25

y =9.25x+12

When Taylor total charges is greater than Allan's total charge

we have 9.25x+12>8.5x+15

Simplify to get

0.75x>3

Or x>4

Whenever x i.e. no of hours exceed 4, Taylor charges will be greater than that of Allan

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3 years ago