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Harman [31]
3 years ago
13

4. CSC X COS X - 2 cos x = 0

Mathematics
1 answer:
Alisiya [41]3 years ago
3 0

Answer:

infinitely many answers, any odd integer n times π/2

ex. π/2, 3π/2, 5π/2

Step-by-step explanation:

we know that cos (π/2) or cos(3π/2) is 0

if one factor is 0, the product is zero, so we will not care about csc(x).

x is any odd integer n times π/2

You might be interested in
I can’t figure out how to use the zeros in the polynomial. Please explain
Temka [501]

Answer:

a) P (x) = (x + 3) (x-1) (x-4)

b) P (x) = (2x + 5) (5x - 4) (x-6)

c) P (x) = (x-3) (x-1) (x-4) (x + 1) ^ 2

Step-by-step explanation:

<u>For the question a *</u> you need to find a polynomial of degree 3 with zeros in -3, 1 and 4.

This means that the polynomial P(x) must be zero when x = -3, x = 1 and x = 4.

Then write the polynomial in factored form.

P (x) = (x + 3) (x-1) (x-4)

Note that this polynomial has degree 3 and is zero at x = -3, x = 1 and x = 4.

<u>For question b, do the same procedure</u>.

Degree: 3

Zeros: -5/2, 4/5, 6.

The factors are

x = -\frac{5}{2}\\\\x +\frac{5}{2} = 0\\\\(2x +5) = 0

---------------------------------------

x =\frac{4}{5}\\\\x-\frac{4}{5} = 0\\\\(5x-4) = 0

--------------------------------------

x = 6\\\\(x-6) = 0

--------------------------------------

P (x) = (2x + 5) (5x - 4) (x-6)

<u>Finally for the question c we have</u>

Degree: 5

Zeros: -3, 1, 4, -1

Multiplicity 2 in -1

x = -3\\\\(x-3) = 0

--------------------------------------

x = 1\\\\(x-1) = 0

--------------------------------------

x = 4\\\\(x-4) = 0

----------------------------------------

x = -1\\\\(x + 1) = 0

-----------------------------------------

P (x) = (x-3) (x-1) (x-4) (x + 1) ^ 2

8 0
3 years ago
What is the most common factor between 139 and 100
posledela

Answer:

1

Step-by-step explanation:

The common factors are:

1

The Greatest Common Factor:

GCF = 1

Solution

Teh factors of 100 are:

1, 2, 4, 5, 10, 20, 25, 50, 100

Teh factors of 139 are:

1, 139

The common factors are:

1

The Greatest Common Factor:

GCF = 1

3 0
3 years ago
Read 2 more answers
If the common difference in an article is -3 and the first term is 7 what is the 14th term?
Wittaler [7]
I got A, -32, but it has been awhile since I have learned this in my math class. You might want to wait for someone else to verify this answer. 
3 0
3 years ago
Read 2 more answers
ASAP!! Three consecutive numbers have a sum of 156. What are the 3 numbers?
ryzh [129]

For this problem, all you need to do is find the three #'s that add up to 156.

So, lets look at the answers and add them up.

A. 50, 52, 54

50 + 52 + 54 = 156

B. 51,52,53

51 + 52 + 53 = 156

C. 49,50,51

49 + 50 + 51 = 150

D. 49,51,53

49 + 51 + 53 = 153

We get the answers (50,52,54) and (51,52,53)

Now, consecutive numbers are numbers that in order, like 1,2,3.

Therefore, the answer is (51,52,53)

3 0
3 years ago
Evaluate t Divided 3/4 for T equal 9 3/4
Molodets [167]
T / 3/4 ; t = 9 3/4

9 3/4 / 3/4

9 3/4 = 39/4

39/4 / 3/4
39/4 x 4/3
39 x 4 = 156
4 x 3 = 12
156/12 / 4/4 = 39/3 = 13
7 0
3 years ago
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