Answer:
2.44
Step-by-step explanation:
Given: x³ + 2x² - 5ax - 7 and x³ + ax² - 12x + 6
Also, R1 + R2 = 6
in order to find the value of a:
Let p(x) = x³ + 2x² - 5ax - 7 and q(x) = x³ + ax² - 12x + 6
Using remainder theorem i.e if a polynomial p(x) is divisible by polynomial of form x - a then remainder is given by p(a).
Then,
R1 = p( -1 ) = (-1)³ + 2(-1)² - 5a(-1) - 7 = -1 + 2 + 5a - 7 = 5a - 6
R2 = q( 2 ) = 2³ + a(2)² - 12(2) + 6 = 8 + 4a - 24 + 6 = 4a - 10
Now,
R1 + R2 = 6
5a - 6 + 4a - 10 = 6
9a = 22
a=2.44
Therefore, Value of a is 2.44
<span>Sheila can ride her bicycle 6000 meters in 15 minutes.
Forming that into a ratio, that will be 6000 : 15
Doing the proportion for 2 minutes.
6000 : 15 = X : 2
Doing the computation.
6000 / 15 = X / 2
15X = 2 * 6000
15X = 12000
X = 800
So Sheila covered a total of 800 meters in 2 minutes.</span>
Answer:
It would be 150 I believe.
Step-by-step explanation:
Hope this helps and good luck!
