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2 years ago

Determine the solution of the system. Show your work. Y = 5x – 9 Y = 2x + 6

Mathematics

2 answers:

Alborosie2 years ago

6 0

The solution is (x, y) = (5, 16). My "work" is to make use of a graphing calculator.

_____

You can subtract the second equation from the first. This gives

... 0 = 3x -15

Then, divide by 3 and add 5.

... 0 = x - 5

... 5 = x

Substitute this value into either equation to find y.

... y = 2x +6

... y = 2·5 +6

... y = 16

The strategy to subtract the second equation from the first is based on the observation that both equations give expressions for y, and the x-coefficient in the first equation is the larger of the two x-coefficients. Thus, the subtraction we chose will eliminate y and give an x-term with a positive coefficient.

snow_tiger [21]2 years ago

5 0

Both define y, so they are equivalent.

5x-9=2x+6
3x-9=6
3x=15
x=5

Then plug in x into any of the equations
y=2(5)+6
y=10+6
y=16

Final answer: (5,16)

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Heated-treated parts are specified to have a hardness of at least 45 (lower specification limit). Any parts that are below 45 ar

Nataly_w [17]

Answer:

$P(X$

And we can find this probability using the normal standard table or excel and we got:

$P(z$

The figure shows the calculation for this case.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the hardness of a population, and for this case we know the distribution for X is given by:

$X \sim N(48.5,2)$

Where $\mu=48.5$ and $\sigma=2$

We are interested on this probability

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability using the normal standard table or excel and we got:

$P(z$

The figure shows the calculation for this case.

5 0

3 years ago

R−5r−6s+8s−15 what is the answer for this equation

weeeeeb [17]

Step-by-step explanation:

r-5r-6s+8s-15

-4r+2s-15

= 2s-4r-15

4 0

2 years ago

Need help please please

alina1380 [7]

Answer:

D or 176.71 inches squared.

Step-by-step explanation:

the radius is 7.5. put it in a calculator and you get D.

3 0

3 years ago

Read 2 more answers

A teacher has 3 hours to grade all the papers submitted by the 35 students in her class. She gets through the first 5 papers in

Andreyy89

So, she has 3hrs to grade all papers, for 35 students.. alrite.

the first 5, she does them in 30minutes.. what's the speed rate? well, 5/30 or 1/6

now, she has still 2 hours and a half, or 150 minutes, to do the remaining 30 papers... she has to work at a rate of 30/150 then... which is 1/5 simplified.

now if we take 1/6 as the 100%, what is 1/5 in percentage then?

$\bf \begin{array}{ccllll}
rate&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\frac{1}{6}&100\\\\
\frac{1}{5}&x
\end{array}\implies \cfrac{\frac{1}{6}}{\frac{1}{5}}=\cfrac{100}{x}\implies \cfrac{1}{6}\cdot \cfrac{5}{1}=\cfrac{100}{x}\implies \cfrac{5}{6}=\cfrac{100}{x}
\\\\\\
x=\cfrac{6\cdot 100}{5}\implies x=120$

so 1/5 is 120% in relation to 1/6... meaning the rate of 1/5 she needs to move through, namely 1 paper every 5 minutes, is 20% faster than 1/6.

8 0

3 years ago

Read 2 more answers

I need these answers by 1:30

hodyreva [135]

Answer:

its 4

Step-by-step explanation:

because u divied

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2 years ago