Answer:
The quotient of: 
is: 
Step-by-step explanation:
We need to find quotient of:
We know that 
Now solving:
Writing it in scientific notation
So, the quotient of: is:
- If x = 5 is a zero of the given polynomial, then,
- (x - 5) is a factor of the polynomial. [Since, x = 5 or, x - 5 = 0]
- Now, divide the polynomial with (x - 5) using long division method. (See the picture)
- We get (x^2 - x - 6) as the quotient.
- Now, factorise the above polynomial:
- (x^2 - x - 6)
- = (x^2 - 3x + 2x - 6)
- = x(x - 3) + 2(x - 3)
- = (x - 3)(x + 2)
- Therefore, x^3 − 6x^2 − x + 30 = (x − 5)(x − 3)(x + 2)
<u>Answer</u><u>:</u>
<u>B.</u><u>(x − 5)(x − 3)(x + 2)</u>
Hope you could get an idea from here.
Doubt clarification - use comment section.
Well, we can begin by simplifying.
6/3 equals 2, so we make the left side 2.
2 = 22/x
x is being divided by 22, so to undo it, we multiply.
therefore it becomes:
2 times x = 22
2x = 22
we can divide by 2 on both sides.
we are left with
x = 22/2
22/2 is 11, so x = 11.
hope this helps!
Answer:
(5, 21)
Step-by-step explanation:
The x-coordinate of the midpoint of a segment is half of the sum of the x-coordinates of the endpoints.
The y-coordinate of the midpoint of a segment is half of the sum of the y-coordinates of the endpoints.
Let the unknown point have coordinates (x, y).
x-coordinate:
(5 + x)/2 = 5
5 + x = 10
x = 5
y-coordinate:
(-1 + y)/2 = 10
-1 + y = 20
y = 21
The other endpoint has coordinates (5, 21).
The expected value of the number of points for each turn is 0.25
<h3>What is expected value?</h3>
Expected value describes the long term average level of a random variable based on its probabilty distribution.
Now, Probability that 2 heads come up is
P(2 is H) = 1/4
Probability that 1 heads come up is
P(1 is H) = 2/4
⇒P(1 is H) = 1/2
Probability that no head will come up
P(no H's) = 1/4
Hence, the expected value for winning of 2points, 1point and lose of3 points is given as-
Expected value = 2 * P(2 is H) + 1 * P(1 is H) - 3 * P(no H's)
⇒Expected value = 2 * 1/4 + 1 * 1/2 - 3 * 1/4
= 0.5 + 0.5 - 0.75
⇒Expected value = 0.25
More about Expected value :
brainly.com/question/22715250
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