Answer:
P ( x ) = -0.7 (x - 2)²(x + 3)
Step-by-step explanation:
<u>We are given</u> :
P ( x ) , has a root of multiplicity 2 at x = 2
and a root of multiplicity 1 at x = − 3
Then
P ( x ) = a (x - 2)²(x + 3) ; where ‘a’ is a real number.
P ( x ) = a (x - 2)²(x + 3)
= a (x² - 4x + 4)(x + 3)
= a [x³ - 4x² + 4x + 3x² - 12x + 12]
P (0) = -8.4
⇔ a [(0)³ - 4(0)² + 4(0) + 3(0)² - 12(0) + 12] = -8.4
⇔ 12 a = -8.4
⇔ a = (-8,4) ÷ 12
⇔ a = -0,7
<u>Conclusion</u> :
P ( x ) = -0.7 (x - 2)²(x + 3)
y = mx + b
-3 = -2(-5) + b
-3 = 10 + b
-13 = b
y = -2m - 13
The line would pass through -13 on the y-axis and it would go down 2 and move to the right 1 for every new point.
Hope this helps! ;)
Answer:
26.6667 minutes or 0.444 hours per activity.
Step-by-step explanation:
If he spent an equal amount of time on each activity, then it would have to be divided equally: 4hours/9
In minutes:
4 x 60 = 240 minutes
240/9
26.6667 minutes per activity.
In Hours:
4/9
0.444 hours per activity.
