Step 1) Divide 6 and 4 (the last 2 numbers) and bring everything else down
<em>6x^24x+2x+4</em>
Step 2) Place in parentheses
<em>(6x^24x)+(2x+4)</em>
Step 3) Figure out what you can take out of each parentheses.
**In the first one, you can take out 6x because both numbers have x and 6 is the largest number 6 and 24 can go into.**
**In the second one, you can only take out 2 because 2 is the largest number that goes into 2 and 4.**
Step 4) You will know you did it correctly when the parentheses match up
<em>6x(x+4) + 2(x+4)</em> <<< this is how it should look
Answer: <em>(6x+2)(x+4)</em>
Answer:
Step-by-step explanation:
From the given information; Let's assume that R should represent the set of all possible outcomes generated from a bit string of length 10 .
So; as each place is fitted with either 0 or 1
Similarly; the event E signifies the randomly generated bit string of length 10 does not contain a 0
Now;
if a 0 bit and a 1 bit are equally likely
The probability that a randomly generated bit string of length 10 does not contain a 0 if bits are independent and if a 0 bit and a 1 bit are equally likely is;
so ; if bits string should not contain a 0 and all other places should be occupied by 1; Then:
;
Your question was incomplete. Please refer the content below:
One factor of a polynomial is (x+1) . which expression represents the other factor, or factors, of the polynomial 2 x² + 3 x + 1 ?
We get that if one factor of the polynomial 2 x² + 3 x + 1 is (x+1), then the other factor is (2x+1).
Factor means that we have to split an expression into multiple values and make the power of the variable linear.
For a quadratic equation, there will be 2 factors.
We have the polynomial
2 x² + 3 x + 1
Using middle term splitting, we get that:
= 2 x² + 2 x + x + 1
Taking common factor:
= 2 x ( x + 1) + 1 (x + 1)
= (2 x + 1)( x + 1)
Therefore, we get that if one factor of the polynomial 2 x² + 3 x + 1 is (x+1), then the other factor is (2x+1).
Learn more about polynomials here:
brainly.com/question/4142886
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Answer:
the required equation is; y = 21 sin(πt/6)
Step-by-step explanation:
Given the data in the question;
Water rises above sea level = 21 ft
Water drops below sea level = 21 ft
so
maximum = 21 ft and also
minimum = 21 ft
Amplitude = ( maximum + minimum ) / 2
Amplitude = ( 21 + 21 ) / 2
Amplitude = ( 21 + 21 ) / 2 = 42/2 = 21 ft
Period = 12 hours
and we know that; period = 2π/b
so
12 = 2π/b
12b = 2π
b = 2π / 12
b = π/6
Standard equation for simple harmonic is; y = asin(bt)
we substitute
y = 21 sin(πt/6)
Hence the required equation is; y = 21 sin(πt/6)
