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3 years ago

Please Show the work

Mathematics

1 answer:

Svetradugi [14.3K]3 years ago

8 0

the answer is a) because its the numerator is bigger than the denominator

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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

2 years ago

Read 2 more answers

Evaluate the expression. 33 + 35 - 8 x (16 ÷ 4)

Mila [183]

Answer:

−32x+68

Step-by-step explanation:

hope this helps! happy new year! can i pls be brainliest?

7 0

2 years ago

Read 2 more answers

Graph a line that contains the point (−6,1) and has a slope of 5

Alexus [3.1K]

Answer:

y=5x+31

Plot points at: (-4,11), (-6,1), (-3, 16)

Step-by-step explanation:

y-1=5(x+6)

y-1=5x+30

y=5x+31

4 0

2 years ago

The distance between Dania and Hollywood is shown on the map. What is the actual distance between Dania and Hollywood?

pishuonlain [190]

Answer:

15 miles

Step-by-step explanation:

If there are 2.5 inches and 1 inch is 6 miles, then just multiply 6 by 2.5 to get 15

6*2.5=15

8 0

2 years ago

State whether the following statement is true or false, and explain why. If the statement is false, state the true change. A h

katovenus [111]

Answer:

False

Step-by-step explanation:

Given that a high school reports that its students' SAT scores were down by 12% in one year. The next year, however, the test scores rose by 20%.

Let score initially be 100

Down by 12

Next year score 88

For succeedingyear

increase is 20% = $20% of 88=17.6\\$

Score in the 2nd year = $88+17.6 = 105.6$

Hence overall scores improvement is 5.6% and not 8%

5 0

2 years ago