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3 years ago

Please help due in 5 minutes !

Mathematics

1 answer:

Alexxx [7]3 years ago

4 0

It’s 8:1 hope this help

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Solve 2sin2(x) – 5sin(x) – 3 = 0. Let u = sin(x). Which of the following is equivalent to the given equation?

Orlov [11]

Answer:

$x=(-1)^{k+1}\cdot \dfrac{\pi}{6}+\pi k,\ k\in Z$

Step-by-step explanation:

Consider the equation

$2\sin^2x-5\sin x-3=0$

Substitute

$u=\sin x$

into the equation:

$2u^2-5u-3=0$

This is quadratic equation, where

$D=(-5)^2-4\cdot 2\cdot (-3)=25+24=49\\ \\\sqrt{D}=7$

Hence,

$u_1=\dfrac{-(-5)-\sqrt{D}}{2\cdot 2}=\dfrac{5-7}{4}=-\dfrac{1}{2}\\ \\u_2=\dfrac{-(-5)+\sqrt{D}}{2\cdot 2}=\dfrac{5+7}{4}=3$

Now, use the substitution again:

1. When $u_1=-\dfrac{1}{2},$ then

$\sin x=-\dfrac{1}{2}\\ \\x=(-1)^k\sin^{-1}\left(-\dfrac{1}{2}\right)+\pi k,\ k\in Z\\ \\x=(-1)^k\cdot \left(-\dfrac{\pi}{6}\right)+\pi k,\ k\in Z\\ \\x=(-1)^{k+1}\cdot \dfrac{\pi}{6}+\pi k,\ k\in Z$

2. When $u_2=3,$ then

$\sin x=3$

This equation has no solutions, because the range of $\sin x$ is $[-1,1]$ and 3>1.

4 0

4 years ago

Read 2 more answers

Five members of the soccer team ordered orange juice. Ten members ordered apple juice. Juice was packaged in 250 mL cartons. Exp

vredina [299]

Your answer would be B.

5 0

4 years ago

What is 2.8294 to the 9th power

Alina [70]

Answer: 11621.1509596

Hope this helps:) Mark me the brainliest:)

3 0

4 years ago

PLEASE ANSWER + BRAINLIEST!!

lora16 [44]

I'd like to see some of your own efforts here. This is the third time you've posted two "factor completelyl" problems, without sharing what you've already done.

<span>3v^2 - 8v - 16 cannot be reduced. Thus, your best choice to find roots is to apply the quadratic formula:

8 plus or minus sqrt( 64-4(3)(-16) )
v = ---------------------------------------------------
2(3)
8 plus or minus sqrt( 64 + 192 )
= ---------------------------------------------
6
8 plus or minus sqrt(256)
= -------------------------------------
6

= 8 + 16, all divided by 6, or 8 - 16, all divided by 6

= 4 or -8/6, or 4 or -4/3.

The factors are (v-4) and (v + 4/3).</span>

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4 years ago

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Which ordered pair describes the location of the red point?

zmey [24]

X comes first, then y....so ur points are (-5,3)

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4 years ago