Answer:
42
Step-by-step explanation:
Answer: In mathematics, the method of equating the coefficients is a way of solving a functional equation of two expressions such as polynomials for a number of unknown parameters. It relies on the fact that two expressions are identical precisely when corresponding coefficients are equal for each different type of term.
.
F(x) = x^2 + 1 f(10)
f(10) = 10^2 + 1
f= 101
Answer:
The value of a = - 1 , And b =
Step-by-step explanation:
Given as :
Function f(x) = 
And f(f(1)) = 0 And f(2) = - 3
Now For , x = 2 , y = - 3
I.e f(2) = 
or, - 3 =
I.e 2 + a = - 6 - 3b
Or, a + 3b = - 8 ....... 1
Again f(f(1)) = 0
So,
= 0
Or, 1 + a = 0
∴ a = - 1
So , put htis value of a i n eq 1 , we get value of b
So , - 1 + 3b = - 8
Or, 3b = - 7
∴ b =
Hence The value of a = - 1 , And b =
Answer
Answer:
Total time taken by walking, running and cycling = 22 minutes.
Step-by-step explanation:
Let the speed of walking = x
As given,
The distance of walking = 1
Now,
As 
⇒ Time traveled by walking = 
Now,
Given that - He runs twice as fast as he walks
⇒Speed of running = 2x
Also given distance traveled by running = 1
Time traveled by running = 
Now,
Given that - he cycles one and a half times as fast as he runs.
⇒Speed of cycling =
(2x) = 3x
Also given distance traveled by cycling = 1
Time traveled by cycling = 
Now,
Total time traveled = Time traveled by walking + running + cycling
=
+
+ 
= 
If he cycled the three mile , then total time taken =
+
+
= x
Given,
He takes ten minutes longer than he would do if he cycled the three miles
⇒x + 10 = 
⇒
⇒
⇒x =
= 12
⇒x = 12
∴ we get
Total time traveled by walking + running + cycling =
min