All categories

3 years ago

Could I have a step by step

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

7 0

Answer:

The first option is correct.

You might be interested in

Evaluate the limit, if it exists.<br> lim (h - > 0) ((-7 + h)^2 - 49) / h

baherus [9]

Expand everything in the limit:

$\displaystyle\lim_{h\to0}\frac{(-7+h)^2-49}h=\lim_{h\to0}\frac{(49-14h+h^2)-49}h=\lim_{h\to0}\frac{h^2-14h}h$

We have $h$ approaching 0, and in particular $h\neq0$ , so we can cancel a factor in the numerator and denominator:

$\displaystyle\lim_{h\to0}\frac{h^2-14h}h=\lim_{h\to0}(h-14)=\boxed{-14}$

Alternatively, if you already know about derivatives, consider the function $f(x)=x^2$ , whose derivative is $f'(x)=2x$ .

Using the limit definition, we have

$f'(x)=\displaystyle\lim_{h\to0}\frac{f(x+h)-f(x)}h=\lim_{h\to0}\frac{(x+h)^2-x^2}h$

which is exactly the original limit with $x=-7$ . The derivative is $2x$ , so the value of the limit is, again, -14.

4 0

3 years ago

65% of what number is 577.2 ?

Stolb23 [73]

577.2 ÷ 65 = 88.8 × 100 = 888
The answer would be 100.

7 0

3 years ago

0.327 repeating as a fraction (7) is repeating

aalyn [17]

Answer:

109/333 please say thanks and click brainiest please

4 0

3 years ago

PLEASE HELP WILL MARK BRAINLIEST

tester [92]

Answer:

8 feet

Step-by-step explanation:

.................... ............ . ...

3 0

3 years ago

Read 2 more answers

Evaluate y=3x for x=2

Helen [10]

Answer:

Y=6

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers