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Kryger [21]
3 years ago
5

Determine the infinite limit. lim (x + 6) / (x + 7) xââ7â

Mathematics
1 answer:
scoray [572]3 years ago
6 0

Answer:

\lim_{x \to \infty} \frac{x+6}{x+7} = 1

Step-by-step explanation:

You have to calculate the following limit:

\lim_{x \to \infty} \frac{x+6}{x+7}

To solve the previous limit, you can factor x from numerator and denominator of the function, and use the fact that c/∞ = 0 with c a constant.

\lim_{x \to \infty} \frac{x+6}{x+7}=  \lim_{x \to \infty}\frac{x(1+\frac{6}{x})}{x(1+\frac{7}{x})}=\lim_{x \to \infty}\frac{1+6/x}{1+7/x}=\frac{1+0}{1+0}=1

Hence, the limit is 1, L = 1

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A piece of fabric is 1/3 yard by 3 5/8 yards.
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Answer:

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Step-by-step explanation:

a. 3

b.15

c.8

3 0
3 years ago
I need help please 25 points for whoever helps me
34kurt
Yuto is correct because he isolated the variable correctly and reversed the inequality symbol.

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Help fast! An apple and an orange weigh as much as a pear and peach weigh together. An apple and a pear weigh less than an orang
Sauron [17]

Answer:

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Step-by-step explanation:

I really hope this helps

7 0
3 years ago
What are all the solutions to the following<br> equation?<br> |10x + 2| =48
Greeley [361]

\huge \boxed{\mathfrak{Question} \downarrow}

What are all the solutions to the following

equation?

|10x + 2| =48

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

| 10 x + 2 | = 48

Combine like terms and use the properties of equality to get the variable on one side of the equals sign and the numbers on the other side. Remember to follow the order of operations.

|10x+2|=48

Use the definition of absolute value.

10x+2=48  \\ 10x+2=-48

Subtract 2 from both sides of the equation.

10x=46 \\  10x=-50

Divide both sides by 10.

\boxed{ \boxed{ \bf \: x=\frac{23}{5} = 46}} \\    \boxed{\boxed{ \bf \: x=-5 }}

7 0
3 years ago
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Is {(0, 2), (3, 8), (–4, –2), (3, –6), (–1, 8), (8, 3)} a function?
RideAnS [48]

Answer: no

Step-by-step explanation:

Each of the domain values, x, output a single value, y, in a function.

This set is a not function, because the domain value 3 has two outputs.

7 0
3 years ago
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