Which point on the number line represents Negative three-fourths?

Mathematics

1 answer:

cupoosta [38]1 year ago

7 0

Answer: Answer C

Step-by-step explanation:

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Evaluate the limit, if it exists. (if an answer does not exist, enter dne.) lim h→0 (5 + h)−1 − 5−1 h

34kurt

$\displaystyle\lim_{h\to0}\frac{(5+h)^{-1}-5^{-1}}h=\lim_{h\to0}\frac{\frac5{5(5+h)}-\frac{5+h}{5(5+h)}}h$
$\displaystyle=-\lim_{h\to0}\frac h{5(5+h)h}$
$\displaystyle=-\lim_{h\to0}\frac1{5(5+h)}=-\frac1{25}$

Alternatively, recall that if $f(x)=\dfrac1x$ , then $f'(x)=-\dfrac1{x^2}$ , and so

$f'(5)=\displaystyle\lim_{x\to5}\frac{\frac1x-\frac15}{x-5}$

Take $h=x-5$ , so that $x=h+5$ , and we have the original limit. So the limit is equivalent to the value of $f'(5)$ , i.e.

$f'(5)=-\dfrac1{5^2}=-\dfrac1{25}$

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3 years ago

A triangle has side lengths 11, 12, and 15. Is it acute, obtuse, or right?

Sedbober [7]

Answer:

right triangle

Step-by-step explanation:

because 15 would be the base so 11 and 12 would be the sides and fot the triangle to be acute or obtuse the total of the sides (11+12) has to be lass than the base (15), but it is more 23 so it has to be a right triangle.

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2 years ago

How would you find the roots of function: r(x) = x^8 - 17x^4 +16

Murrr4er [49]

Answer: look at the ss :))

Step-by-step explanation: