10x (7x² +9x +6 )
multiply
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10x (7x²) + 10x (9x) +10x (6)
70x³ + 90x² + 60x
simplification
———————
10x (7x² +9x + 6)
10x(7x² + 9x +6)
7x² + 9x + 6 is a quadratic equation ,
in the form of ax² + bx + c
we know , for any quadratic have real roots only when Discriminant=b² -4ac ≥0
D = b² -4ac =(9)² -4 x 7 x 6
D = 81 -168 = -87 <0
hence, no real roots exist of 7x²+9x +6
hence, we can't factorise ,
so, simplest form of this is ------
10x(7x² +9x + 6)
10x (7x²) +10x(9x)² + 10x(6)²
70x³ +90x² + 60x this is simplest form of given expression .
Angle DFE. Hope this helped.
The probability that the participant was a nonsmoker is 25%.
<h3><u>Probability</u> </h3>
Given that at the beginning of a certain study of a group of persons, 15% were classified as heavy smokers, 30% as light smokers, and 55% as nonsmokers, and in the five-year study, it was determined that the death rates of the heavy and light smokers were five and three times that of the nonsmokers, respectively, to calculate, if a randomly selected participant died over the five-year period, the probability that the participant was a nonsmoker, the following calculation must be performed:
- 15 x 5 = 75
- 30 x 3 = 90
- 55 = 55
- 55 + 90 + 75 = 220
- 220 = 100
- 55 = X
- 55 x 100 / 220 = x
- 5500 / 220 = X
- 25 = X
Therefore, the probability that the participant was a nonsmoker is 25%.
Learn more about probability in brainly.com/question/26684125
You can draw the shape, and show the measurements.
