MATHEMATICS COLLEGE

Limit of x^2-81/x+9
As x goes toward -9

Answers

Answer 1
Answer: Hello,

Use the factoration

a^2 - b^2 = (a - b)(a + b)

Then,

x^2 - 81 = x^2 - 9^2

x^2 - 9^2 = ( x - 9).(x + 9)

Then,

Lim (x^2- 81) /(x+9)

= Lim (x -9)(x+9)/(x+9)

Simplity x + 9

Lim (x -9)

Now replace x = -9

Lim ( -9 -9)

Lim -18 = -18
_______________

The second method without using factorization would be to calculate the limit by the hospital rule.

Lim f(x)/g(x) = lim f(x)'/g(x)'

Where,

f(x)' and g(x)' are the derivates.

Let f(x) = x^2 -81

f(x)' = 2x + 0
f(x)' = 2x

Let g(x) = x +9

g(x)' = 1 + 0
g(x)' = 1

Then the Lim stay:

Lim (x^2 -81)/(x+9) = Lim 2x /1

Now replace x = -9

Lim 2×-9 = Lim -18

= -18

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Answers

Answer:

Step-by-step explanation:

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Answers

Answer:

E[X] = (np) (p+(1-p))^(n-1)

With n =10,000 and p=0.50 we get

E[X]= (10,000*0.50) (0.50+(1–0.50))^(10,000–1)

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Step-by-step explanation:

Help :,)
(both questions)

Answers

The answer to question one is $5.39. I got this answer by adding 16.49 and 1.62 to see how much she had to pay for the jeans and the tax which is 18.11. Then I subtracted 28.69 by 18.11 so I could find out how much money was for both of the jeans which is 10.78. Last I divided by 2 because there are 2 jeans which the answer is 5.39.

The answer to question two is $4.75. I got this answer by adding the coupon and the money for the snack so I could find out how much money was the admission for both of them which is 9.50. Then I divided it by 2 because there were 2 people. And last I got the answer $4.75!!!!

Hope this helps u!!!!

Someone please help??

Answers

9514 1404 393

Answer:

  Isabel

Step-by-step explanation:

Gavin saves 28% (given).

Harry saves 1 -3/4 = 1/4 = (1/4)·100% = 25%.

Isabel saves 3/(3+7)·100% = 30%.

Isabel saves the largest fraction of her salary each month.

What single angle is the vertical angle to

Answers

The supplement of <DCE is <ACE, remember, a supplementary pair is a pair of two angles whose sum of degrees sums up to 180 degrees.

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Write the slope- intercept form of the equation of the line described through (4,5) parallel to y= 1/4x-4

Answers

Answer:

Step-by-step explanation:

You get the slope right away, just by reading it.

y = 1/4 x + b

To solve for b, you use the point 4,5

5 = 1/4 * 4 + b       Substitute 4 for x

5 = 1 + b                Subtract 1 from both sides

5-1 = 1-1 + b

b = 4

The line is y = 1/4 x + 4  

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