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3 years ago

(12,-12), (18,2), (12,6), (20,5) A. Function B. Not a function

Mathematics

1 answer:

Alex Ar [27]3 years ago

8 0

B. Not a function. 12 repeats twice.

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Emma earns $12 an hour babysitting. She wants to save at least $180. Write and solve and inequality to find the minimum number o

zaharov [31]

Answer:

15 hours

Step-by-step explanation:

180 ÷ 12 = 15

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Can I have brainlest please?

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3 years ago

On a coordinate plane, the x-axis is labeled bags of trail mix and the y-axis is labeled ounces of almonds. Line a is labeled y

Musya8 [376]

Answer:

Line B

Step-by-step explanation:

Only one line on the graph shows 2 ounces of almonds for 1 bag of trail mix: line B.

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3 years ago

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The following formula for the sum of the cubes of the first n integers is proved in Appendix E. Use it to evaluate the limit in

Marina86 [1]

Answer:

$\lim_{n\to\infty} (1+ \frac{2}{n} +\frac{1}{n^2})$

And when we apply the limit we got that:

$\lim_{n\to\infty} (1+ \frac{2}{n} +\frac{1}{n^2}) =1$

Step-by-step explanation:

Assuming this complete problem: "The following formula for the sum of the cubes of the first n integers is proved in Appendix E. Use it to evaluate the limit . 1^3+2^3+3^3+...+n^3=[n(n+1)/2]^2"

We have the following formula in order to find the sum of cubes:

$\lim_{n\to\infty} \sum_{n=1}^{\infty} i^3$

We can express this formula like this:

$\lim_{n\to\infty} \sum_{n=1}^{\infty}i^3 =\lim_{n\to\infty} [\frac{n(n+1)}{2}]^2$

And using this property we need to proof that: 1^3+2^3+3^3+...+n^3=[n(n+1)/2]^2

$\lim_{n\to\infty} [\frac{n(n+1)}{2}]^2$

If we operate and we take out the 1/4 as a factor we got this:

$\lim_{n\to\infty} \frac{n^2(n+1)^2}{n^4}$

We can cancel $n^2$ and we got

$\lim_{n\to\infty} \frac{(n+1)^2}{n^2}$

We can reorder the terms like this:

$\lim_{n\to\infty} (\frac{n+1}{n})^2$

We can do some algebra and we got:

$\lim_{n\to\infty} (1+\frac{1}{n})^2$

We can solve the square and we got:

$\lim_{n\to\infty} (1+ \frac{2}{n} +\frac{1}{n^2})$

And when we apply the limit we got that:

$\lim_{n\to\infty} (1+ \frac{2}{n} +\frac{1}{n^2}) =1$

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3 years ago

Graph y = 2x and y= 2x<br> What x-values are solutions to the system?

LuckyWell [14K]

Answer:

Wait u gave the same equation twice, do u mind checking back to it?

Step-by-step explanation:

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3 years ago

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Given the following two side lengths of a triangle, what is the largest whole number length

daser333 [38]

(13*13) + (28*28) = 953
square root = 30.8706…
31cm

3 0

2 years ago