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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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9. If LK MK, LK = 7x - 10, KN = x + 3, MN = 9x - 11, and KJ = 28, find LJ.
olasank [31]

Answer:

LJ = 46

Step-by-step explanation:

Given:

LK = MK

LK = 7x - 10

KN = x + 3

MN = 9x - 11

KJ = 28

Required:

LJ

Solution:

Step 1: create an equation to find the value of x

Since we are given that LK = MK, and LK = 7x - 10, let's find the expression for MK to get an equation.

MK + KN = MN (segment addition postulate)

MK = MN - KN (Subtract KN from each side)

MK = (9x - 11) - (x + 3) (subtitution)

MK = 9x - 11 - x - 3

MK = 9x - x - 11 - 3

MK = 8x - 14

LK = MK, therefore,

7x - 10 = 8x - 14

Subtract 8x from each side

7x - 10 - 8x = 8x - 14 - 8x

-x - 10 = -14

Add 10 to both sides of the equation

-x - 10 + 10 = -14 + 10

-x = -4

Divide both sides by -1

x = 4

Step 2: Find LJ

LJ = LK + KJ (segment addition postulate)

LJ = (7x - 10) + (28)

Plug in the value of x

LJ = 7(4) - 10 + 28

LJ = 28 - 10 + 28

LJ = 46

7 0
4 years ago
Stanley drew a rectangle that was w inches wide. The expression 2(2w)+2(w) represents the perimeter of the rectangle Stanley dre
k0ka [10]
The complete question in the attached figure

we know that
[the perimeter of a rectangle]=2*[length+width]
the perimeter=<span>2(2w)+2(w)----> 2*[2w+w]------> 4w+2w----> 6w
P=6w------->  the perimeter is 6 times the width
so
in this problem
length=2w
width=w

</span>statements
<span>A) The perimeter is 6 inches more than the width------> is not correct
</span>Because we were not given specific lengths

<span>B) The perimeter is 6 times the width.------> is correct
</span>P=6*w

<span>C) The perimeter is 2 inches more than the width.------> is not correct
</span>Because we were not given specific lengths

<span>D) The perimeter is 2 times the width------> is not correct
</span>because the perimeter is 6 times the width

the answer is the option 
B) The perimeter is 6 times the width

7 0
3 years ago
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Keith_Richards [23]
The answer would be C

A) (4+4)/(4x4)=(8)/(16)=1/2
B) 4+4/(4x4)=4+4/(16)=4+(1/4)=4 1/4
C) 4+(4/4)x4=4+(1)x4=4+4=8
4 0
3 years ago
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According to Chebyshev's Theorem, at least what percent of the observations lie within plus and minus 1.75 standard deviations o
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This answer is going to be 56%
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4 years ago
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In
zzz [600]

Answer:

option 4

Step-by-step explanation:

4 0
3 years ago
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