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3 years ago

Solve 16x+9=9y−2x16x+9=9y−2x for y

1 answer:

6 0

16x + 9 = 9y-2x Add 2x to both sides
18x + 9 = 9y Divide both sides by 9
2x + 1 = y Switch the sides to make it easier to read
y = 2x + 1

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Rewrite by completing the square 2x^2+7x+6=0

Kitty [74]

Answer:

$2x^2+7x+6=0\\\\2(x^2+\frac72x+3)=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2-(\frac74)^2+3]=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2]-2(\frac74)^2+6=0 \\\\2(x+\frac74)^2-2\cdot\frac{49}{16}+6=0\\\\2(x+\frac74)^2-\frac{49}8+\frac{48}8=0\\\\2(x+\frac74)^2-\frac18=0$

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3 years ago

An educational psychologist wishes to know the mean number of words a third grader can read per minute. She wants to make an est

nirvana33 [79]

Answer:

The 80% confidence interval for the mean number of words a third grader can read per minute is between 40.4 wpm and 40.8 wpm.

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:

$\alpha = \frac{1-0.8}{2} = 0.1$

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 $1-0.1 = 0.99$ , so $z = 1.28$

Now, find 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.

$M = 1.28*\frac{4.1}{\sqrt{840}} = 0.2$

The lower end of the interval is the sample mean subtracted by M. So it is 40.6 - 0.2 = 40.4 words per minute.

The upper end of the interval is the sample mean added to M. So it is 40.6 + 0.2 = 40.8 words per minute.

The 80% confidence interval for the mean number of words a third grader can read per minute is between 40.4 wpm and 40.8 wpm.

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4 years ago

Ill give for 32, plz solve them. :)

Reika [66]

Answer:

t>=7

Step-by-step explanation:

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3 years ago

Which has a faster rate of change?

Ugo [173]

If your talking about the graph with x and y. The section that has a higher amount in total would be y. Apologies, if I confused myself on your question.

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3 years ago

What is the answer and how did you find that?

Ymorist [56]

Answer:

a) $15287.71

b) $15017.64

c) $16,368 − r%

Step-by-step explanation:

Mary's car price (including tax): $16,368

[possible tax rates and listing prices]

a) 6.6%

➠ $15287.71

b) 8.25%

➠ $15017.64

c) r (any rate)

➠ $16,368 − r%

How did I find my answers?

I had to find the sales tax, and subtract it from the overall cost of the item.

To find the sales tax, all I had to do was multiply the sales tax percentage by the price of the item
Next, all I had to do was subtract the sales tax from the item's cost

7 0

3 years ago