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Lostsunrise [7]
2 years ago
10

When the sum of a number and 14 is divided by 3, the result is 4.

Mathematics
1 answer:
kvv77 [185]2 years ago
5 0

Answer:

it is 4.6 sorry girl

Step-by-step explanation:

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Page<br>Prove that<br>Tan ( 2 Tan^-l x)=2 Tan ( Tan^-1 x + Tan^-1 x^3)​
Kay [80]

Answer:

The answers are 0, 1 and −2.

Step-by-step explanation:

Let α=arctan(2tan2x) and β=arcsin(3sin2x5+4cos2x).

sinβ2tanβ21+tan2β2tanβ21+tan2β23tanxtan2β2−(9+tan2x)tanβ2+3tanx(3tanβ2−tanx)(tanβ2tanx−3)tanβ2=3sin2x5+4cos2x=3(2tanx1+tan2x)5+4(1−tan2x1+tan2x)=3tanx9+tan2x=0=0=13tanxor3tanx

Note that x=α−12β.

tanx=tan(α−12β)=tanα−tanβ21+tanαtanβ2=2tan2x−13tanx1+2tan2x(13tanx)or2tan2x−3tanx1+2tan2x(3tanx)=tanx(6tanx−1)3+2tan3xor2tan3x−3tanx(1+6tanx)

So we have tanx=0, tan3x−3tanx+2=0 or 4tan3x+tan2x+3=0.

Solving, we have tanx=0, 1, −1 or −2.

Note that −1 should be rejected.

tanx=−1 is corresponding to tanβ2=3tanx. So tanβ2=−3, which is impossible as β∈[−π2,π2].

The answers are 0, 1 and −2.

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3 years ago
Simplify the fraction 4t ^ 2 - 16 ÷8 ÷ t - 2 ÷6
Sedaia [141]

4t ^ 2 - 16 ÷8 ÷ t - 2 ÷6

=(4t ^ 2)-(16 ÷8 ÷ t)-(2 ÷6)

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=4t ^ 2-2/t-1/3

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I NEED HELP ASAP! THANKS :)
4vir4ik [10]

Answer:

Last option: increasing: -2 < x < 0 and x> 3/2;

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Step-by-step explanation:

The function given is an absolute cubic function. (Pictured below).

We can determine from the graph that the equation increases over the interval:

increasing: -2 < x < 0 and x> 3/2;

decreasing: x < -2 and 0 < x < 3/2

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2 years ago
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melisa1 [442]
That statement is true
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3 years ago
What are the corresponding steps used to find the product of (2x + 1)(x + 1)?
Margarita [4]

Answer:

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Step-by-step explanation:

The steops used to find the product of (2 x + 1) (x + 1) are

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