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3 years ago

If f ( x ) = 3 x² + 4, solve for x when f(x)=31

Mathematics

2 answers:

ICE Princess25 [194]3 years ago

8 0

Step-by-step explanation:

3x²+4=31

3x²=31-4

3x²=27

x²=27÷3

x²=9

x=±3

xz_007 [3.2K]3 years ago

3 0

Answer:

I hope you got it. I tried my best to give answer

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What is -2.9 = 3f + 4.3

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4 years ago

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4 years ago

Write 2x+y=17 in slope-intercept form

Harlamova29_29 [7]

Answer:

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Step-by-step explanation:

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3 years ago

If tan ⁡x=12/5, and 0°

Charra [1.4K]

The value of sin(2x) is $\frac{120}{169}$

Explanation:

Given that $tan x =\frac{12}{5}$

The formula for $sin(2x)$ is $\sin (2 x)=2 \sin x \cos x$

Since, $\tan x=\frac{o p p}{a d j}$

Also, it is given that $tan x =\frac{12}{5}$

Thus, $opp=12$ and $adj=5$

To find the hypotenuse, let us use the pythagoras theorem,

$\begin{aligned}h y p &=\sqrt{12^{2}+5^{2}} \\&=\sqrt{144+25} \\&=\sqrt{169} \\&=13\end{aligned}$

Now, we can find the value of sin x and cos x.

$\sin x=\frac{\text { opp }}{h y p}=\frac{12}{13}$

$\cos x=\frac{a d j}{h y p}=\frac{5}{13}$

Now, substituting these values in the formula for sin 2x, we get,

$\begin{aligned}\sin (2 x) &=2 \sin x \cos x \\&=2\left(\frac{12}{13}\right)\left(\frac{5}{13}\right) \\&=\frac{120}{169}\end{aligned}$

Thus, the value of sin(2x) is $\frac{120}{169}$

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3 years ago