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3 years ago

Consider the rational expression (IMAGE ATTACHED)

Mathematics

1 answer:

Keith_Richards [23]3 years ago

3 0

Answer:

3x² is a term in the numerator
x + 1 is a common factor
The denominator has 3 terms

Step-by-step explanation:

You can identify terms and count them before you start factoring. Doing so will identify 3x² as a term in the numerator, and will show you there are 3 terms in the denominator.

When you factor the expression, you get ...

$\dfrac{3x^2-3}{3x^2+2x-1}=\dfrac{3(x^2-1)}{(3x-1)(x+1)}=\dfrac{3(x-1)(x+1)}{(3x-1)(x+1)}$

This reveals a common factor of x+1.

So, the above three observations are true of this rational expression.

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If the measure of angle 1 is 68°, what is the measure of angle 5?

stepladder [879]

68 degrees as well, because the angles are corresponding.

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3 years ago

Read 2 more answers

Evaluate the summation from n equals 1 to infinity of the quotient of 3 and 2 raised the quantity n minus 1 power

Shalnov [3]

Answer:

3*∑ (1/2)^n = 6

Step-by-step explanation:

We have the summation from n = 1 to n = ∞, for:

∑ 3/(2)^(n - 1)

We know that the summation between k = 0, and k = N - 1 for:

∑ r^k = (1 - r^N)/(1 - r)

if we have the summation between k = 0 and k = ∞ - 1 = ∞

(here we used that ∞ is really big, then ∞ - 1 = ∞)

In the numerator we will have the term r^∞, if 0 < r < 1, then r^∞ = 0.

Then if we assume that 0 < r < 1 we can write:

∑ r^k = 1/(1 - r)

In our case, we can rewrite our summation as:

3*∑ (1/2)^n

for n = 0 to n = ∞

You can see that i changed the limits for n, this does not really matter because we are summing between a number and infinity, the only thing you need to take care is that now the power is n, instead of (n - 1)

Then we have r = (1/2) which is clearly smaller than 1.

then (1/2)

Then this summation is equal to:

3*∑ (1/2)^n = 3*( 1/(1 - 1/2)) = 3*( 1/( 2/2 - 1/2)) = 3*( 1/(1/2)) = 3*2 = 6

3*∑ (1/2)^n = 6

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2 years ago

John rode 4 kilometers on his bike his sister sally rode 3400 meters on her bike who rode the farthest and how much farther did

emmasim [6.3K]

4 kilometres is 4000 meters

4000 meters - 3400 meters = 600 meters

and as John is the one that rode 4 kilometres he rode further and by 600 meters

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3 years ago

HOW DO I SOLVE THIS FAST I NEED TO KNOW ASAP

artcher [175]

Answer:

Solve what? lol

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3 years ago

An equal

Helga [31]

Answer:

the correct answer is 19

Step-by-step explanation:

I just took the quiz

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2 years ago