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Katena32 [7]
3 years ago
13

Find the limit of the function algebraically. limit as x approaches negative nine of quantity x squared minus eighty one divided

by quantity x plus nine.
Mathematics
1 answer:
scoray [572]3 years ago
7 0
Let me express the equation clearly:

lim x→-9  (x²-81)/(x+9)

Initially, we solve this by substituting x=-9 to the equation. 

((-9)²-81)/(-9+9) = 0/0

The term 0/0 is undefined. This means that the solution is not see on the number line because it is imaginary. Other undefined terms are N/0 (where N is any number), 0⁰, 0×∞, ∞-∞, 1^∞ and ∞/∞. One way to solve this is by applying L'Hopitals Rule. This can be done by differentiating the numerator and denominator of the fraction independently. Then, you can already substitute the x=-9.

(2x-0)/(1+0) = 2x = 2(-9) = -18

The other easy way is to substitute x=-8.999 to the original equation. Note that the term x→-9 means that x only approaches to -9. Thus, you substitute a number that is very close to -9. Substituting x=-8.999

((-8.999)²-81)/(-8.999+9) = -18

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Step-by-step explanation:

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A speed walker covered 4 1/2 mi in 3/4 hour. How far will he walk in 3/4 hour if he walks?
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Given:

Consider the complete question is "A speed walker covered 4\dfrac{1}{4} mi in \dfrac{3}{4} hour. How far will he walk in 3/4 hours if he walks twice as fast?"

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To find:

Distance covered by him if in 3/4 hour if he walks twice as fast.

Solution:

We have,

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Distance covered by him if in 3/4 hour if he walks twice as fast is

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Therefore, distance covered by him is 9 mi.

7 0
3 years ago
Simplify.<br> 7/8 x 1 1/3<br><br> A. 7/24<br> B. 28/24<br> C. 1 1/6<br> D. 1 7/24
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4 0
3 years ago
Read 2 more answers
Which expressions is equivalent to 2r+(t+r)
azamat

Answer:

t+3r

Step-by-step explanation:

This is a one step solution

All you do is add like terms

In this case the only like terms are the varibles r

2r+(t+r)

so if you add all of the rs together there would be 3rs

So the rest of the problem would continue as normal while bringing the 3r to the end

t+3r

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3 years ago
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