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4 years ago

F(x) = x + 7 Determine the input that would give an output value of .

Mathematics

2 answers:

Nikitich [7]4 years ago

8 0

You haven't supplied the "output value."

Supposing that the "output value" were 15, then F(x) = x + 7 = 15, and x = 8.

yuradex [85]4 years ago

6 0

Hey there!

In order to find your given output value, all you need to do is plug it in for f(x) and solve for x in the equation. Whatever you get for x will be the input value that corresponds with that output value. After that, you can plug in that input value for x and solve for f(x) and, if it's the same, then the input value is correct.

For example (with an output value of 10):

f(x) = x + 7 (plug in output)
10 = x + 7 (subtract 7 from both sides)
3 = x (input value)

f(x) = x + 7 (plug in input)
f(x) = 3 + 7 (simplify)
f(x) = 10 (output value)

Just plug in whatever output you were given where I put 10 and solve.

Hope this helped you out! :-)

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Answer:

Step-by-step explanation:

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

Proof:

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

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

sin420cos140 - cos420sin140 = sin(420-140)

The resulting equation becomes;

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

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

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