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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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For the straight line defined by the points (2,55) and (4, 87), determine the slope (m) and y-intercept?
mamaluj [8]

Answer:

Slope(m) = 16

Y intercept (c) = 23

Step-by-step explanation:

Given:

Points : (x1, y1) = (2, 55)

           (x2, y2) = (4, 87)

Using two point form to calculate slope:

m = \frac{y2-y1}{x2-x1}

m = \frac{87-55}{4-2}

      m = 16

To find y intercept:

Take any one point ans slope :

Using slope point formula:

y = mx + c

87 = 16(4) + c

Solving for c:

c = 23

8 0
3 years ago
A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. 452 fee
Troyanec [42]

Answer:

school building, so the fourth side does not need Fencing. As shown below, one of the sides has length J.‘ (in meters}. Side along school building E (a) Find a function that gives the area A (I) of the playground {in square meters) in

terms or'x. 2 24(15): 320; - 2.x (b) What side length I gives the maximum area that the playground can have? Side length x : [1] meters (c) What is the maximum area that the playground can have? Maximum area: I: square meters

Step-by-step explanation:

8 0
3 years ago
To thase who missed the other ones 4+5-6/7*8-7
hoa [83]

Answer:

-6.67 im pretty sure

Step-by-step explanation:

4+5=9

9-6=3

3/7=0.43

0.43-7=-6.67

the calculator says sum else but like who cares right? lol

4 0
3 years ago
Read 2 more answers
The product of 2 and a number x is 3/4 .
Vikki [24]

The appropriate algebraic equation is 2x = 3/4. To solve this for x, multiply both sides of this equation by (1/2), obtaining x = (1/2)(3/4) = 3/8 (answer)

3 0
3 years ago
Given that ∠A≅∠B, Gavin conjectured that ∠A and ∠B are complementary angles.
Rama09 [41]
45 and 45 because they are equal and add up to 90 degrees
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