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harkovskaia [24]
2 years ago
15

Ruby has $1 worth of nickels and dimes. She has 7 more dimes than nickels. By following the steps below, determine the number of

nickels, x,x, and the number of dimes, y,y, that Ruby has.
Mathematics
1 answer:
sleet_krkn [62]2 years ago
4 0

Answer:

x 2 y 14

Step-by-step explanation:

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Write the whole numbers that are in a between the pairs<br> a 4 and 8<br> b 12 and 16
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Step-by-step explanation:

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Step-by-step explanation:

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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)

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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
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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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