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kirza4 [7]
3 years ago
12

Can you help me please I don’t understand

Mathematics
1 answer:
Natali [406]3 years ago
6 0

a. $190

b. c(20) represents the number of bracelets made. 20 is plugged in for b.

c. $350

d. c(100) represents the number of bracelets being made. 100 is plugged in for b.

e. $1,150

f. c(500) represents the number of bracelets being made. 500 is plugged in for b

g. He can make 150 bracelets.


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uysha [10]
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2 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




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