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3 years ago

Y= x +2 x^2 +y^2=10 solve using any method

Mathematics

2 answers:

Jobisdone [24]3 years ago

7 0

Hi there!

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I believe your answer is:

(-3, -1) and (1, 3)

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Here’s why:

I have graphed the two equations given on a graphing program.
When graphed, they pass at points (-3, -1) and (1,3). Therefore, they are the solutions to the system.

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See the graph attached.

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Hope this helps you. I apologize if it’s incorrect.

Virty [35]3 years ago

7 0

Answer:

${ \tt{y = x + 2 - - - (a)}} \\ { \tt{ {x}^{2} + {y}^{2} = 10 - - - (b) }} \\ substitute \: for \: y \: in \: (b) : \\ { \tt{ {x}^{2} + {(x + 2)}^{2} = 10 }} \\ { \tt{ {x}^{2} + {x}^{2} + 4x + 4 = 10 }} \\ { \tt{2 {x}^{2} + 4x - 6 = 0}} \\ { \tt{ {x}^{2} + 2x - 3 = 0 }} \\ { \boxed{ \bf{x = 1 \: and \: - 3}}} \\ in \: (a) : \\ y = x + 2 \\ { \boxed{ \bf{y = 3 \: and \: - 1}}}$

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In 1990, the mean duration of long-distance telephone calls originating in one town was 7.2 minutes. A long-distance telephone c

scoundrel [369]

Answer:

We know that In 1990, the mean duration of long-distance telephone calls originating in one town was 7.2 minutes. And we want to test if the mean duration of long-distance phone calls has changed from the 1990 mean of 7.2 minutes (alternative hypothesis) and the complement rule would represent the null hypothesis.

The correct system of hypothesis are:

Null hypothesis: $\mu =7.2$

Alternative hypothesis: $\mu \neq 7.2$

So then the best option for this case would be:

H0: μ = 7.2 minutes Ha: μ ≠ 7.2 minutes

Step-by-step explanation:

The correct system of hypothesis are:

Null hypothesis: $\mu =7.2$

Alternative hypothesis: $\mu \neq 7.2$

So then the best option for this case would be:

H0: μ = 7.2 minutes Ha: μ ≠ 7.2 minutes

And in order to test the hypothesis we can use a one sample t test or z test depending if we know the population deviation or not

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3 years ago

Jake is comparing the prices of two mattress cleaning companies. Company A charges $30 per mattress and an additional $13 as ser

Murljashka [212]

Answer:

A) A = 30m + 13 B = 28m + 15

B) Company B would charge $6 less for 4 mattresses

C) Company B would charge $12 less for 7 mattresses

Step-by-step explanation:

A. : Write equations to represent Company A's and Company B's total mattress cleaning charges for a certain number of mattresses. Define the variable used in the equations.

Let's define the variable m to represent the number of mattresses to be cleaned.

For company A, we have a cost per mattress of $30 plus a fixed service fee of $13. So the equation will be:

A = 30m + 13

While company B charges $28 per mattress, with a fixed service fee of $15:

B = 28m + 15

That way, we have a good representation of both price structures, using a meaningful variable.

B. Which company would charge less for cleaning 4 mattresses? Justify your answer.

We just have to calculate the cost of cleaning 4 mattresses at both companies:

A = 30m + 13 = 30 (4) + 13 = 120 + 13 = $133

B = 28m + 15 = 28 (4) + 15 = 112 + 15 = $127

Company B would charge $6 less for 4 mattresses

C. How much money is saved by using the services of Company B instead of Company A to clean 7 mattresses?

Again, all we have to do is calculate the cost to clean 7 mattresses at both companies:

A = 30m + 13 = 30 (7) + 13 = 210 + 13 = $223

B = 28m + 15 = 28 (7) + 15 = 196 + 15 = $211

Company B would charge $12 less for 7 mattresses

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3 years ago

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Lesechka [4]

Answer:

The inequality that represents how much George can spend is y ≤ $45 + $12, which gives y ≤ $57

Step-by-step explanation:

The given parameters are;

The amount George has to spend for his sisters = $45

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The inequality that represents how much George can spend, y, is given as follows

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