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2 years ago

What are the solutions of the following system

Mathematics

2 answers:

noname [10]2 years ago

6 0

Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}10x^2-y=48\\2y=16x^2+48&\text{subtracy}\ 16x^2\ \text{from both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}10x^2-y=48\\-16x^2+2y=48&\text{divide both sides by 2}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}10x^2-y=48\\-8x^2+y=24\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad2x^2=72\qquad\text{divide both sides by 2}\\.\qquad x^2=36\to x=\pm\sqrt{36}\\.\qquad x=\pm6\\\\\text{Put the values of}\ x\ \text{to the second equation}$

$2y=16(\pm6)^2+48\\\\2y=16(36)+48\\2y=576+48\\2y=624\qquad\text{divide both sides by 2}\\y=312$

Ostrovityanka [42]2 years ago

4 0

Answer:

c i think

Step-by-step explanation:

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Aneli [31]

Answer:

Find the exact value of tan 45º = 1/1 = 1.

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Step-by-step explanation:

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2 years ago

Jenny bought 5 pounds of carrots for $2.50. What is the unit rate for

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Answer:

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Step-by-step explanation:

$\frac{5 pounds }{2.5 dollars}=\frac{2pounds }{1 dollars}$

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1 year ago

A sample size of n = 64 is drawn from a population whose standard deviation is o = 5.6.

AlekseyPX

Answer:

The margin of error for a 99% confidence interval for the population mean is 1.8025.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

In this problem:

$\sigma = 5.6$

$M = 2.575*\frac{5.6}{\sqrt{64}} = 1.8025$

The margin of error for a 99% confidence interval for the population mean is 1.8025.

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2 years ago

MATH HELP!?

Debora [2.8K]

The correct answers are: 
1) C
2) A
3) D

Explanation: 
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2) FICA is the tax that goes towards Social Security and Medicare. It is involuntary, and it is deducted as a percentage of your gross (pre-withholding) pay.

3) A fixed expense would be one that is the same from month to month. The only one of these expenses that would be the same amount monthly is a mortgage.

6 0

3 years ago

Read 2 more answers

Which statement describes the behavior of the function f(x)=3x/4-x?

Oksana_A [137]

Answer:

The graph approaches –3 as x approaches infinity. Option a is correct.

Step-by-step explanation:

The given function is

$f(x)=\frac{3x}{4-x}$