The completely factored form of f(x) = 6x³ - 13x² - 4x + 15 is f(x) = (x + 1)(2x - 3)(3x - 5)
<h3>How to factor the expression?</h3>
The expression is given as:
f(x) = 6x³ - 13x² - 4x + 15
Expand the expression
f(x) = 6x³ - 19x² + 6x² + 15x - 19x + 15
Rewrite as:
f(x) = 6x³ + 6x² + 15x- 19x² - 19x + 15
Factorize the equation
f(x) = (x + 1)(6x²- 19x + 15)
Expand (6x² - 19x + 15)
f(x) = (x + 1)(6x² - 10x - 9x + 15)
Factorize the expression
f(x) = (x + 1)(2x - 3)(3x - 5)
Hence, the completely factored form of f(x) = 6x³ - 13x² - 4x + 15 is f(x) = (x + 1)(2x - 3)(3x - 5)
Read more about factorized expression at:
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Answer:
Hence the study seem to be inconclusive since the probability of getting those result by chance are somewhat very high.
Step-by-step explanation:
The result seem to be inconclusive since the probability of getting those result by chance are somewhat very high.
Since the probability of getting such sample result by chance are very high, we cannot assume that the women have the ability to predict the gender of their babies.
Hence the study seem to be inconclusive since the probability of getting those result by chance are somewhat very high
the answer is B. 72 mm^2 because
9x4.5=40.5
then
7x4.5=31.5
then
40.5+31.5=72.0 mm^2
correct answer is option d.
<u>Step-by-step explanation:</u>
Here, we have The following expression to check Which of the following is a polynomial with roots: −square root of 3 , square root of 3, and 2 :
<u>a. x3 + 3x2 − 5x − 15
</u>
For
,
⇒
. So, this isn't the one. We move on further!
<u>b. x3 + 2x2 − 3x − 6
</u>
For
,
⇒
= 0 .
For
,
⇒
= 0.
For 2 ,
⇒ 
. So, this isn't the one. We move on further!
<u>c. x3 − 3x2 − 5x + 15
</u>
For
,
⇒
. So, this isn't the one. We move on further!
<u>d. x3 − 2x2 − 3x + 6</u>
For
,
⇒
= 0 .
For
,
⇒
= 0.
For 2 ,
⇒
= 0.
Therefore, correct answer is option d.
Answer: They won 60 games and lost 100 games
Explanation: To find this, first, we need to keep in mind that for every 8 games they played, they won 3, and lost 5. With this, we need to do 160/8 and we will get 20. Finally, to find # of games won, we will do 3(20) which is 60, and to find # of games lost, we will do 5(20) which is 100. Hope this helped!