<u>n=6</u>
Answer:
Solution given:
The coefficient of x^2=60
we have,

we get x² in 3rd term,so
3rd term of (1+2x)^n is C(n,2)*1^n-2)(2x)^2=C(n,2)4x²
since 1^n is 1.
we have a coefficient of x^2 is 60, so
C(n,2)4=60
C(n,2)=60/4
=15
=15
n(n-1)=15*2
n^2-n=30
n^2-n-30=0
doing middle term factorization
n^2-6x+5x-30=0
n(n-6)+5(n-6)=0
(n-6)(n+5)=0
either n-6=0
n=6
or,
n+5=0
n=-5 since n>0
so neglected.
<u>So the value of n is 6.</u>
Step-by-step explanation:
2. 24/10 (if need to simplify it's 12/5)
3. 8/5 (can't simplify more)
5.60/5 (simply 12/1 = 12)
6.21/10 (can't simplify)
M= -6
-6 + 8 = 2
4/2 is the same thing as 4/2 Lol
Answer: y=4, x=-2
Step-by-step explanation:
line r must have the equation y=4 to go through point (-2,4)
line s must have the equation x=-2 to go through point (-2,4)
Each student gets 1/8 of the cake.
we multiply 1/8 and 3/4. To do that we multiply the numerators together and the denominators together. This gives (1*3)/(8*4) =3/32 of the cake