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3 years ago

8

What are the x-intercept of sin(x)?

1 answer:

boyakko [2]3 years ago

5 0

The x-intercept of a function is the value of x when y is 0. So let's set sin(x) equal to zero. When does sin(x) equal zero? Based on the unit circle, you know that sin(0) is 0, so that is one x-intercept. You also know that sin(pi) is 0. Basically, every time x, starting from zero, increases or decreases by a multiple of pi, sin(x) is still zero. The answer can be represented by x=n*pi; where n=any integer.

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3 years ago

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Determine the intercepts of the line. 7x-5=4y-67x−5=4y−67, x, minus, 5, equals, 4, y, minus, 6 xxx-intercept: \Big((left parenth

sesenic [268]

Given:

The equation of line is

$7x-5=4y-6$

To find:

The x and y-intercept of the given line.

Solution:

We have,

$7x-5=4y-6$

Putting x=0, we get

$7(0)-5=4y-6$

Add 6 on both sides.

$0-5+6=4y$

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Divide both sides by 4.

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Putting y=0 in given equation, we get

$7x-5=4(0)-6$

Add 5 on both sides.

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$7x=-1$

Divide both sides by 7.

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So, the x-intercept is $\left(-\dfrac{1}{7},0\right)$ .

4 0

3 years ago

Read 2 more answers

Peter leaves Mitchell's house traveling 30 mph. Mitchell leaves 15 min later, trying to catch up to peter, going 40 mph, if they

Kruka [31]

Given :

Peter velocity , P = 30 mph .

Mitchell velocity , M = 40 mph .

Mitchell leaves 15 min later .

To Find :

If they drive along the same route how long will it take Mitchell to catch Peter.

Solution :

Distance covered by Peter in 15 min .

$D = 30\times \dfrac{15}{60}=7.5\ miles$

Let , time taken is x .

So , distance covered b them is equal :

$7.5+30\times x=40\times x\\\\x=\dfrac{7.5}{10}=0.75\ hours\\\\x=0.75\times 60\ min\\\\x=45\ min$

Therefore , time taken by them is 45 minutes .

Hence , this is the required solution .

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3 years ago