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2 years ago

5

For g(x) = -3x + 1 Find x if g(x) = 16

1 answer:

Luda [366]2 years ago

4 0

Answer:

=-5

Step-by-step explanation:

16=-3x+1

Subtract 1 from both sides

15=-3x

Divide both sides by -3 to isolate x

x=-5

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Root 3 cosec140° - sec140°=4<br>prove that<br><br>

Lorico [155]

Answer:

Step-by-step explanation:

We are to show that $\sqrt{3} cosec140^{0} - sec140^{0} = 4\\$

<u>Proof:</u>

From trigonometry identity;

$cosec \theta = \frac{1}{sin\theta} \\sec\theta = \frac{1}{cos\theta}$

$\sqrt{3} cosec140^{0} - sec140^{0} \\= \frac{\sqrt{3} }{sin140} - \frac{1}{cos140} \\= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\$

From trigonometry, 2sinAcosA = Sin2A

$= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\\\= \frac{\sqrt{3}cos140-sin140 }{sin280/2}\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{2sin280}\\\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{sin280}\\since sin420 = \sqrt{3}/2 \ and \ cos420 = 1/2 \\ then\\\frac{4(sin420cos140-cos420sin140) }{sin280}$

Also note that sin(B-C) = sinBcosC - cosBsinC

sin420cos140 - cos420sin140 = sin(420-140)

The resulting equation becomes;

$\frac{4(sin(420-140)) }{sin280}$

= $\frac{4sin280}{sin280}\\ = 4 \ Proved!$

3 0

3 years ago

The distance between 1 - 10 1/4

Pani-rosa [81]

The distance between 1 - 10 1/4

____________________

1 - 10 1/4 = -9 1/4

_________________________

Answer

-9 1/4

9 1/4 (in absolute value)

5 0

1 year ago

Read 2 more answers

Erin wants to equally divide oatmeal bars among 5 friends. If she has 12 bars, how many bars will each friend receive

Digiron [165]

Answer:

each friend will receive 2 oatmeal bars and their will be 2 leftover.

Step-by-step explanation:

6 0

3 years ago

If f(x) = 3x^2 – 2x + 4 and g(x) = 5x^2 + 6x – 8, find (f - g)(x).

meriva

Answer:

$-2x^2-8x+12$

Step-by-step explanation:

$f-g=(3x^2-2x+4)-(5x^2+6x-8)=3x^2-2x+4-5x^2-6x+8=\\ =-2x^2-8x+12$

5 0

3 years ago

Read 2 more answers

3(2x - 1) = 1/2 (4x - 2) + 2<br> What would it be?

Novay_Z [31]

Answer:

X = 1

Step-by-step explanation:

Just distribute properly, and distribute the fraction multiplying the numerator by 4 and 2

6 0

2 years ago