3 years ago

Write a formula for the general term (the nth term) of the arithmetic sequence below. Then use the formula for

Mathematics

1 answer:

schepotkina [342]3 years ago

5 0

Answer:

2,5,8,11,13,18,22,27,32,48

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Find the following limit or state that it does not exist. ModifyingBelow lim With x right arrow minus 2 StartFraction 3 (2 x min

leva [86]

Answer:

-60

Step-by-step explanation:

The objective is to state whether or not the following limit exists

$\lim_{x \to -2} \frac{3(2x-1)^2 - 75}{x+2}$ .

First, we simplify the expression in the numerator of the fraction.

$3(2x-1)^2 -75 = 3(4x^2 - 4x +1) -75 = 12x^2 - 12x + 3 - 75 = 12x^2 - 12x -72$

Now, we obtain

$12(x^2-x-6) = 12(x+2)(x-3)$

and the fraction is transformed into

$\frac{3(2x-1)^2 - 75}{x+2} = \frac{12(x+2)(x-3)}{x+2} = 12 (x-3)$

Therefore, the following limit is

$\lim_{x \to -2} \frac{3(2x-1)^2 - 75}{x+2} = \lim_{x \to -2} 12(x-3) = 12 \lim_{x \to -2} (x-3)$

You can plug in $-2$ in the equation, hence

$12 \lim_{x \to -2} (x-3) = 12 (-2-3) = -60$

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4 years ago

If f(x) = -2(5)*, what is f(2)?

Effectus [21]

Answer:

-2(5)^2

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Step-by-step explanation:

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3 years ago

Find the measure of each interior angle of a regular polygon with 10 sides.

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Answer:

add up c

Step-by-step explanation:

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3 years ago

Kayla can write 415 pages in 10 minutes. At this rate, how many pages could Kayla write in 30 minutes?

antoniya [11.8K]

Answer:

1245

Step-by-step explanation:

You have to multiply 415 and 3, since 10 x 3 = 30

415 x 3 = 1245

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3 years ago

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This is the rest of those 2 step equations with fractions teacher didnt help and taking a test over this tomorrow. Please help a

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3 years ago

Write a formula for the general term​ (the nth​ term) of the arithmetic sequence below. Then use the formula for

Write a formula for the general term (the nth term) of the arithmetic sequence below. Then use the formula for