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rjkz [21]
3 years ago
15

Which number on the number line the correct position of all lines showed

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
7 0

Answer:

D

Step-by-step explanation: i believe it is D

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Evaluate the limit, if it exists.<br> lim (h - &gt; 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
Kobe's overtime pay is $5 an hour more than his regular pay. He worked 8 hours at his regular wage and 3 hours at his overtime w
Fofino [41]

Answer: $9

Step-by-step explanation: 9•8=72

9+5=14

14•3=42

42+72=114

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3 years ago
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Rina8888 [55]

Answer:

b=-9 that the right answer

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3 years ago
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The sum of three consecutive integers is −261−261. Find the three integers.
astra-53 [7]

-261 / 3 =-87

-87 + -86 + -88 = -261

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Check the picture below.

make sure your calculator is in Degree mode.

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