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sweet-ann [11.9K]
4 years ago
11

Evaluate the expression when a = 30 and b=6.

Mathematics
1 answer:
Lena [83]4 years ago
7 0

Answer:

a+b2

a+4b

Now,

30+6×2

30-4×6

30+12

30-24

42

6

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3 years ago
Limit of x^2-81/x+9<br> As x goes toward -9
Semmy [17]
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




7 0
3 years ago
The sum of three consecutive numbers is 141.<br>What is the smallest of the three numbers ?​
Slav-nsk [51]

The first odd number is 45, the second 45+2=47 and the third 47+2=49.

5 0
3 years ago
A bag contains five white marbles and five black marbles. What is the probability of drawing a white marble, not replacing it, a
Lelu [443]

~ ANSWER=1/2 ~

Simple probability is found by counting all the results which fit requirements and dividing by all possible results.

To find probability of two results in a row, multiply chance of first result by chance of second result.

Since you are replacing the marble before the second draw, we don’t have to figure out the various changes in odds for the different possible first draws. It’s just that simple.

There are 5 white marbles

There are 4 red marbles

There are always 20 marbles in all

5/20*4/20=1/4*1/5=1/20 or 1/2

By coincidence, the same as the chance of drawing the white marble in one draw.

6 0
3 years ago
Rosa is sewing a ribbon around the sides of a square blanket. Each side of the blanket is 72 inches long. How many inches of rib
Nadya [2.5K]

Hello! The answer to your question would be as followed:

She needs 72 inches per sides of the blanket.

A blanket has four sides so you have to multiply 72 by 4.

72 x 4 =

<u><em>288 inches</em></u>

5 0
4 years ago
Read 2 more answers
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