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jekas [21]
2 years ago
10

Can all polynomials be factored?

Mathematics
1 answer:
Lunna [17]2 years ago
3 0

Answer:

yes they can

Step-by-step explanation:

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16. Solve for the angle x.<br> cos(¹/2x) = ¹/2
Basile [38]

Answer:

We know that ,

\rightarrow \tt \cos( \frac{\pi}{3} )  =  \frac{1}{2}

So ,

\:  \rightarrow \tt \cos( \frac{1}{2}x )    =  \cos( \frac{\pi}{3} )  \\  \\   \rightarrow \tt \frac{1}{2}.x =  \frac{\pi}{3}  \\  \\ \rightarrow \tt x =  \frac{2\pi}{3}

we can add 2 pi to it since there will be no change in the value

Also,

\: \rightarrow \tt  \cos( \frac{14\pi}{6} )  =  \frac{1}{2}  \\  \\  \\ \rightarrow \tt \frac{1}{2}  x =  \frac{14\pi}{6}  \\  \\ \rightarrow \tt x =  \frac{7\pi}{3}

Answer : Option B

6 0
2 years ago
PLEASE HELP!! A classmate wrote the set notation for the values of the domain of a function {−5, −4, −3, −2, −1, 0} as {x | −5 ≤
vfiekz [6]
<h3>Answer: Choice B</h3>

The set notation includes all values from -5 to 0, but the domain only includes the integer values

eg: something like -1.2 is in the second set, but it is not in the set {-5,-4,-3,-2,-1}

==========================================================

Further explanation:

Let's go through the answer choices one by one

  • A. This is false because 0 does not come before -5, but instead -5 is listed first. The order -5,-4,-3,-2,-1,0 is correct meaning that -5 \le x \le 0 is the correct order as well.
  • B. This is true. A value like x = -1.2 is in the set \left\{x| -5 \le x \le 0\right\} since -1.2 is between -5 and 0; but -1.2 is not in the set {-5, -4, -3, -2, -1, 0}. So the distinction is that we're either considering integers only or all real numbers in this interval. To ensure that we only look at integers, the student would have to write \left\{x| x\in\mathbb{Z}, \ -5 \le x \le 0\right\}. The portion x \in \mathbb{Z} means "x is in the set of integers". The Z refers to the German word Zahlen, which translates to "numbers".
  • C. This is false. The student used the correct inequality signs to indicate x is -5 or larger and also 0 or smaller; basically x is between -5 and 0 inclusive of both endpoints. The "or equal to" portions indicate we are keeping the endpoints and not excluding them.
  • D. This is false. Writing -5 \ge x \ge 0 would not make any sense. This is because that compound inequality breaks down into -5 \ge x \ \text{ and } \ x \ge 0. Try to think of a number that is both smaller than -5 AND also larger than 0. It can't be done. No such number exists.
8 0
2 years ago
Solve the following system of equations by substitution. <br> 2x - y = 6<br> x + y = 6
m_a_m_a [10]

y=-x+6

2x-(-x+6)=6

3x=12

x=4

4+y=6

y=2

5 0
3 years ago
Read 2 more answers
Harriet bought 2kg of potatoes for $1.50 how much would it cost for 1 kg
Mila [183]
2 kg = 1.5 
1 kg is half of 2 kg, therefore, half the price. Half of 1.5 dollors = 75 cents
3 0
3 years ago
Read 2 more answers
Is a graph a proportional​
Bogdan [553]

Answer:

How to tell the difference: A proportional graph is a straight line that always goes through the origin. A non-proportional graph is a straight line that does not go through the origin.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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