Given the system of equations, what is the value of x + y? x + 2y = 24 2x + y = 9

11

Step-by-step explanation:

x + 2y = 24x = 24 - 2y

now sub 24 - 2y in for x, back into the other equation

2x + y = 9

2(24 -2y) + y = 9

48 - 4y + y = 9

-4y + y = 9 - 48

-3y = - 39

y = -39/-3

y =  13

x + 2y = 24

x + 2(13) = 24

x + 26 = 24

x = 24 - 26

x = -2

so the value of x + y = -2 + 13 = 11 <===

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

(a) the volume of the cone is 20/3 in3

hence, option a is correct.