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pishuonlain [190]
3 years ago
13

The sum of two numbers is equal to 70. Which of the following functions can be use to find the product of the two numbers if one

of the numbers is x?
a) p = x^2

b) p = x (x-70)

c) p = x (70 - x)

d) p = (x - 70)^2
Mathematics
1 answer:
Temka [501]3 years ago
4 0
Let x=number 1 let y=number2
there sum is equal to 70
then

number1+number2=70

substituting

x+y=70

y=70-x
let there product will be p
p=xy
substituting
p=x(70-x)
which is choice c

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The coefficient of x^2 in the expansion of (1+2x)^n is 60. given that n>0, find the value of n.​
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<u>n=6</u>

Answer:

Solution given:

The coefficient of x^2=60

we have,

(a+x)^n=C(n,0)a^n+C(n,1)a^(n-1)x+C(n,2)a^(n-2)x^2+C(n,3)a^(n-3)x^3....C(n,r)a^(n-r)x^r+C(n,n)x^n

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

\frac{n!}{(n-2)!*2!}=15

\frac{n(n-1)(n-2)!}{(n-2)!*2!}=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:

8 0
2 years ago
Please help i have to go to school in 40 min
bogdanovich [222]
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