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3 years ago

8

Keitaro buys a hat that is on sale for 15% off. He says that that total amount he will pay will be equal to 75% of the regular p

rice of the hat. Is he correct? Write an expression to justify you answer.

1 answer:

Archy [21]3 years ago

4 0

That is incorrect. The sale is for 15% off, which means he will pay 85% of the regular price.

This is because 100 - 15 = 85

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How is the interquartile range calculated?

Nastasia [14]

It is the difference between the third and the first quartile

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3 years ago

Read 2 more answers

I'm stuck on this question, any ideas? thanks

True [87]

Answer:

$\lim_{x \to 0} \frac{\frac{1}{6+x}-\frac{1}{6}}{x}=-1/36$

Step-by-step explanation:

So we have the limit:

$\lim_{x \to 0} \frac{\frac{1}{6+x}-\frac{1}{6}}{x}$

Let's remove the fractions in the denominator by multiplying both layers by (6+x)(6). So:

$\lim_{x \to 0} \frac{\frac{1}{6+x}-\frac{1}{6}}{x}\cdot (\frac{(6+x)(6)}{(6+x)(6)})$

Distribute:

$=\lim_{x \to 0} \frac{(6)-(6+x)}{x(6+x)(6)}$

Simplify the numerator:

$=\lim_{x \to 0} \frac{6-6-x}{x(6+x)(6)}\\=\lim_{x \to 0} \frac{-x}{x(6+x)(6)}$

Both the numerator and the denominator have an x. Cancel:

$=\lim_{x \to 0} \frac{-1}{(6+x)(6)}$

Direct substitution:

$= \frac{-1}{(6+0)(6)}$

Simplify:

$=-1/36$

And that's our answer.

And we're done!

8 0

2 years ago

Read 2 more answers

when asked to write a point slope equation for a line passing through the points (-3,-5) and (2,4) a student wrote y-4=-9/5(x-2)

Eduardwww [97]

(-3,-5)(2,4)
slope(m) = (4 - (-5) / (2 - (-3) = (4 + 5) / (2 + 3) = 9/5

y - y1 = m(x - x1)
slope(m) = 9/5
(2,4)...x1 = 2 and y1 = 4
sub
y - 4 = 9/5(x - 1)....this is the correct answer

the student figured the slope wrong....it is 9/5...not -9/5

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2 years ago

Oomygawd plz help me with this math hw

aev [14]

Hi There!

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

Slope Intercept Form: y = mx + b

Where: m = slope and b = y-intercept

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

Question 11: The slope being 0.5 is the pay for the amount of miles he pays daily.

Question 12: y = 2x + 20

Question 13: y = 25x + 50

Question 14: y = 1/2x + 6

Question 15: y = 2x + 15

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Hope This Helps :)

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3 years ago

Eliza started her savings account with $100. Each month she deposits $25 into her account. Determine the average rate of change

Afina-wow [57]

First, lets create a equation for our situation. Let $x$ be the months. We know four our problem that <span>Eliza started her savings account with $100, and each month she deposits $25 into her account. We can use that information to create a model as follows:
</span> $f(x)=25x+100$
<span>
We want to find the average value of that function </span>from the 2nd month to the 10th month, so its average value in the interval [2,10]. Remember that the formula for finding the average of a function over an interval is: $\frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1} }$ . So lets replace the values in our formula to find the average of our function:
$\frac{25(10)+100-[25(2)+100]}{10-2}$
$\frac{350-150}{8}$
$\frac{200}{8}$
$25$

We can conclude that <span>the average rate of change in Eliza's account from the 2nd month to the 10th month is $25.</span>

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2 years ago