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sashaice [31]
3 years ago
10

What is the answer ?

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
6 0
The answer is b welcome
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The fraction a/b is in simplest terms and equal to the following:((2020^3)-1)/((2021^3)+1) . What is a + b?
blagie [28]

Consider the expression

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

Factorize the numerator and denominator a difference/sum of cubes:

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

Expand the denominator:

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

since <em>x</em> = 2020, and clearly 2020² + 2020 + 1 ≠ 0, so we can cancel the factor of <em>x</em> ² + <em>x</em> + 1. This leaves us with

\dfrac{2020^3-1}{2021^3+1} = \dfrac{2020-1}{2020+2} = \dfrac{2019}{2022}=\dfrac{673}{674}=\dfrac ab

so that <em>a</em> + <em>b</em> = 673 + 674 = 1347.

7 0
3 years ago
What are the roots of the equation?<br><br> x^2+24=−11x<br><br> Enter your answers in the boxes.
docker41 [41]
<span>The <u>correct answers</u> are:

x=-3 and x=-8.

Explanation<span>:

We can first write this in standard form, ax</span></span>²<span><span>+bx+c=0. To do this, we will add 11x to both sides:
x</span></span>²<span><span>+24+11x=-11x+11x
x</span></span>²<span><span>+11x+24=0.

Now we can factor this. Look for factors of c, 24, that sum to b, 11. Factors of 24 are:
1 and 24 (sum 25)
2 and 12 (sum 14)
3 and 8 (sum 11)
4 and 6 (sum 10).

The factors we need are 3 and 8, since they sum to 11. This gives us factored form:
(x+3)(x+8)=0.

Using the zero product property, we know that in order to have a product of 0, one or both of the factors must be 0. This means we have:
x+3=0 or x+8=0.

Solving the first equation:
x+3-3=0-3
x=-3.

Solving the second equation:
x+8-8=0-8
x=-8.</span></span>
8 0
3 years ago
Read 2 more answers
2) Zaria rolls a dice and flips a coin. What is the
Daniel [21]

Step-by-step explanation:

probability of dice

3/6 or 1/2

probability of coin

1/2

5 0
3 years ago
The Lions did not score fewer points than the Bears. The Lions scored fewer points than the Tigers but more points than the Dolp
vivado [14]
The answer is the Dolphins
5 0
3 years ago
Please help me I will give u brainlist !!!!
kolbaska11 [484]

Answer:

x = 12.17

Step-by-step explanation:

we use the tan function

\tan \theta = \fra{opp}{ady}\\\\\tan(49) = \frac{14}{x}\\\\x=\frac{14}{\tan 49}\\\\x \approx 12.17

5 0
3 years ago
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