3b - a = 45
a = 2b + 40
Solve simultaneously.
3b - (2b + 40) = 45
3b - 2b - 40 = 45
b = 45 + 40
b = 95min (1 hour 35 min)
a = 2 (95) + 40
a = 230min ( 3 hour 50 min)
Step-by-step explanation:
The binomial theorem states that for some a,b∈R and some k ∈Z+ ,
(a+b)k=∑n=0k(kn)ak−nbn.
The binomial series allows us to use the binomial theorem for instances when k is not a positive integer. The binomial series applies to a given function f(x)=(1+x)k for any k∈R with the condition that |x|<1 . It is stated as follows:
(1+x)k=∑n=0∞(kn)xn .
Note that the binomial theorem produces a finite sum and the binomial series produces an infinite sum.
-8=2-4y
-10=-4y
y=5/2 or 2 1/2 or 2.5
z° = 80° (Being corresponding angles)
y° + 80° = 180° (Being linear pair of angles)
=> y° = 180° - 80°
=> y° = 100°
x° = y° (Being interior opposite angles)
=> x° = 100°
Hi there!
a. 8x^2 - 1
(x^2 - 4x + 5) + (7x^2 + 4x - 6)
= x^2 + 7x^2 - 4x + 4x - 1
= 8x^2 - 1
b. 5x^2 + 7x - 7
(7x^2 + 4x - 6) - (2x^2 - 3x + 1)
= 7x^2 + 4x - 6 - 2x^2 + 3x - 1
= 7x^2 - 2x^2 + 4x + 3x - 6 - 1
= 5x^2 + 7x -7
Hope this helps!
