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sergeinik [125]
1 year ago
11

F(x)=cos(x). Find the x-intercepts of f(x) on [0, 2).

Mathematics
1 answer:
balu736 [363]1 year ago
3 0

The x-intercepts of the function where the function is given as y(x) = cos(x) are π/2 and 3π/2

<h3>What is the x-intercept of the function?</h3>

The x-intercept of the function is the point or points where the graph of the function crosses the x-axis i.e. the point where the function equals 0

<h3>How to find the x-intercepts of the function?</h3>

The function is given as

f(x) = cos(x)

And the interval is given as

[0, 2)

The above means that we determine the value of x when the function f(x) equals 0

So, we have

cos(x) = 0

The above equation can be solved graphically

See attachment for the graph of the function f(x) = cos(x)

In the interval [0, 2), the graph crosses the x-axis at points x = π/2 and 3π/2

Hence, the x-intercepts of the function where the function is given as y(x) = cos(x) are π/2 and 3π/2

Read more about x-intercepts at

brainly.com/question/3951754

#SPJ1

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6 0
2 years ago
Annita, Gary, and Tara all run races. Annita has 7 less than 4 times the number of race medals as Tara. Gary has 13 more than 2
harkovskaia [24]

Answer:

4 t - 7  = 2 t+ 13  is the required equation.

The number of race medals Tara has is t = 20 medals.

Step-by-step explanation:

Let the number of medals Tara has = t medals

So, the number of medal Anita has  = 4( Medals of Tara) - 7

= 4t - 7

And the number of medals Gary has = 2 times (Medals of Tara) + 13

= 2(t)  + 13  = 2t + 13

Now, Annita and Gary has same number of medals.

⇒  4t - 7  = 2t+ 13

or, 4t - 2t  = 7 + 13

⇒ 2t  = 20

⇒ t = 20/2 = 10

or t = 10

Hence, the number of race medals Tara has is t = 20 medals

6 0
3 years ago
Which of the following is equivalent to −2(4x + 8y) − 5(3q + 6p)?
Nadusha1986 [10]

Answer:

-8x + 16y -15q - 30p

Step-by-step explanation:

your just expanding brackets here

6 0
1 year ago
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A line has a y-intercept of -2, but has no x-intercept. Describe
frutty [35]
If it has no x-intercept, it is a horizontal line going through 0,-2. hope this helps
6 0
3 years ago
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Graph this function:<br> y = 3x + 4
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Answer:

(0,−4)

Step-by-step explanation:

6 0
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