Willard f. libby received his undergraduate degree from . after he completed his graduate work, he became a professor at . in 1960, he won a nobel prize in .

the answer is:

87.5

50% of the number is 87.5

answer:

-5x^3 +11x^2-2

step-by-step explanation:

(8x^2 − 1 + 2x^3) − (7x^3 − 3x^2 + 1)

distribute the minus sign

(8x^2 − 1 + 2x^3) − 7x^3 + 3x^2 - 1

i like to line them up vertically from largest to smallest

  2x^3 + 8x^2 − 1

− 7x^3 + 3x^2 - 1

-5x^3 +11x^2-2

answer: the standard form of equation will be

step-by-step explanation:

since we have given that

the vertex form of equation is given by

we need to find the standard form :

standard form is written as :

so, our equation becomes,

hence, the standard form of equation will be

answer:

syd is 23 and dev is 69

step-by-step explanation:

let dev's age be x and syd's age be y

since dev is 3 times older than syd, we may write  

x

=

3

y

since the sum of their ages is 92, we may write  

x

+

y

=

92

now replacing x with 3y, we get :  

3

y

+

y

=

92

hence  

y

=

92

4

=

23

and so syd is 23 year old.

back substituting we get dev is 69 years old.