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Alex787 [66]
3 years ago
9

Find the GCF of the two numbers, and rewrite the sum of the two numbers using the distributive property.

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
4 0
I think the answer is d
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I'm stuck on this question, any ideas? thanks
True [87]

Answer:

\lim_{x \to 0} \frac{\frac{1}{6+x}-\frac{1}{6}}{x}=-1/36

Step-by-step explanation:

So we have the limit:

\lim_{x \to 0} \frac{\frac{1}{6+x}-\frac{1}{6}}{x}

Let's remove the fractions in the denominator by multiplying both layers by (6+x)(6). So:

\lim_{x \to 0} \frac{\frac{1}{6+x}-\frac{1}{6}}{x}\cdot (\frac{(6+x)(6)}{(6+x)(6)})

Distribute:

=\lim_{x \to 0} \frac{(6)-(6+x)}{x(6+x)(6)}

Simplify the numerator:

=\lim_{x \to 0} \frac{6-6-x}{x(6+x)(6)}\\=\lim_{x \to 0} \frac{-x}{x(6+x)(6)}

Both the numerator and the denominator have an x. Cancel:

=\lim_{x \to 0} \frac{-1}{(6+x)(6)}

Direct substitution:

= \frac{-1}{(6+0)(6)}

Simplify:

=-1/36

And that's our answer.

And we're done!

8 0
3 years ago
Read 2 more answers
In the statement 10 + 0 = 0 + 10 how would you describe the zero (0)?​
GarryVolchara [31]
The additive property of zero states that when you have any number and add zero to it, your answer will always equal the original number
3 0
2 years ago
(05.02)On a boat, a cabin's window is in the shape of an isosceles trapezoid, as shown below. What is the area of the window? 19
alekssr [168]
I think the answer is 1080 square inches
4 0
3 years ago
Why is the number of operators per shift multiplied by approximately 4.5 to obtain the total number of operators required to run
4vir4ik [10]

I believe you meant "why is the number of shifts multiplied by approximately 4.5 to obtain the total number of operators required to run the plant"

Answer and Explanation:

There are 3 shifts per day, 49 weeks per year and 5 shifts per operator per week

To get total number of operators required to run the plant, we multiply number of shifts in a year by number if operators per shift.

49 weeks×5 shifts= 245 shifts per operator per year

365×3 shifts= 1095 shifts per year

1095/245=4.5 operators per shift

total number of operators required to run the plant(per day) = 4.5×3= 13.5 approximately 14

total number of operators required to run the plant(per year) =4.5×1095=4927.5 approximately 4928

3 0
3 years ago
Can someone help me with this having trouble !
Usimov [2.4K]

Answer:

<em>Tick:</em>

<em>- the coefficient of the second term is -5</em>

<em>- the coefficient of the fourth term is -10</em>

Explanation:

The coefficient of an expression is simply the number placed before and multiplying the variable (e.g. 10x ; the coefficient is 10, the variable is x)

Hope this makes sense. Feel free to inquire further if need be!

- profparis

3 0
1 year ago
Read 2 more answers
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