Answer:
Just as the square root is a number that, when squared, gives the radicand, the cube root is a number that, when cubed, gives the radicand. Cubing a number is the same as taking it to the third power: 23 is 2 cubed, so the cube root of 23 is 2.
Step-by-step explanation:
there i hope you understood
I = -425x^2 + 45500x - 650000
For I to be maximum, dI/dx = 0
dI/dx = -850x + 45500 = 0
x = 45500/850 = 53.53
Therefore, maximum I = -425(53.53)^2 + 45500(53.53) - 650000 = 567,794.11
Therefore, <span>the maximum average annual income, in dollars, a lawyer can earn</span> is $567,794
4^4 + 1/2
= (4×4×4×4) + 1/2
= 256 + 1/2
= 256 + 0.5
= 256.5
Answer:
h = 15
Step-by-step explanation:
Use Pythagorean Theorem to solve for h.
a² + b² = c²
8² + h² = 17²
64 + h² = 289
h² = 225
h = 15
So to complete the square in
ax^2+bx+c=d form
make sure a=1
subtract c from both sides
take 1/2 of b and square it
add that to both sides
factor perfect square
1x^2-1x-2=0
a=1
move c to other side
add 2 to oth sides
x^2-1x=2
take 1/2 of b and square it
1/2 of -1=-1/2
squaer it
1/4
add that to both sides
x^2-1x+1/4=2+1/4
factor left side
(x-1/2)=2+1/4
first blank is 1/2
2+1/4=8/4+1/4=9/4
blanks are
1/2 and 9/4