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3 years ago

Evaluate the limit of ((1/4 + 1/x)/(4+x)) as x -> -4

Mathematics

1 answer:

photoshop1234 [79]3 years ago

6 0

Hello from MrBillDoesMath!

Answer:

-1/16

Discussion:

Rewrite ((1/4 + 1/x)/(4+x)) as

(1/4 + 1/x) * (1/(4+x)) = => put num. over common denom,

( (x+4)/4x) * (1/(4+x)) = => cancel (x+4) from num. and denom.

(1/4x)

So as x ->-4, (1/4x) approaches ( 1/ ( 4 * (-4) ) ) = -1/16

Thank you,

MrB

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Nataly_w [17]

Answer:

0=0

Step-by-step explanation:

(x+6)(x-5) = x^2 + - 30

Step 1: Simplify both sides of the equation.

x^2 + x-30 = x^2 + x-30

Step 2: Subtract x^2 from both sides.

x^2 + x - 30 - x^2 = x^2 + x - 30 - x^2

x-30=x-30

Step 3: Subtract x from both sides.

x-30-x=30-x

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step 4: Add 30 to both sides.

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3 years ago

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Anuta_ua [19.1K]

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3 years ago

The ages of the employees at Solar Systems, Inc. is normally distributed with a mean of 32.7 years and a standard deviation of 1

svetoff [14.1K]

Answer:

6.7% of employees at Solar Systems, Inc. are younger than 30 years old

Step-by-step explanation:

The mean of ages of the employees at Solar Systems is 32.7 years

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Standard deviation = $\sigma = 1.8 years$

We are supposed to find What percentage of employees at Solar Systems, Inc. are younger than 30 years old i.e.P(x<30)

So, $Z=\frac{x-\mu}{\sigma}$

$Z=\frac{30-32.7}{1.8}$

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Refer the z table for p value

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3 years ago

Juanita is 13 years older than her cousin. The sum of their ages is no less than 103 years. Enter an inequality that can be used

Bond [772]

Please see below solution:

y = x + 13<span>
y + x ≥ 103
x + 13 + x ≥ 103
Inequality is:
2 x + 13 ≥ 103
2 x ≥ 103 - 13
2 x ≥ 90
x ≥ 90 : 2
x ≥ 45
<span>The youngest age Juanita`s cousin can be is 45.</span></span>

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3 years ago

Evaluate the limit of ((1/4 + 1/x)/(4+x)) as x -> -4​

Evaluate the limit of ((1/4 + 1/x)/(4+x)) as x -> -4