Step-by-step explanation:
28,4 most likely I think
Answer:
Option c
Step-by-step explanation:
Answer:
Carrie has 0.125 more than Larry and Larry has 3/4 more than Harry. Between them Harry, Larry and Carrie have 151. How many does Harry have? Carrie=63, Larry=56, Harry=32.
Step-by-step explanation:
Answer:
3x^2 -2x + 1 =3(x^2-2/3x+1/3)=3(x-1/3)^2+2/9*3= 3(x-1/3)^2+2/3
(x-1/3)^2 is greater or equal to zero
3(x-1/3)^2 is greater or equal to zero
and 2/3 is greater than zero
So there sum is greater than zero
Proved
Step-by-step explanation:
3x^2 -2x + 1 =3(x^2-2/3x+1/3)
Consider x^2-2/3x+1/3
Remember that (a-b)^2 =a^2-2ab+b^2
x^2=a^2
a=x
-2/3x= -2*x*b
b=1/3
S0 (x-1/3)^2= x^2-2/3x+1/9
x^2-2/3x+1/3= x^2-2/3x+1/9+1/3-1/9= (x-1/3)^2+2/9
3x^2 -2x + 1 =3(x^2-2/3x+1/3)=3(x-1/3)^2+2/9*3= 3(x-1/3)^2+2/3
(x-1/3)^2 is greater or equal to zero
3(x-1/3)^2 is greater or equal to zero
and 2/3 is greater than zero
So there sum is greater than zero
Proved
Answer:
(-infinity, 0)
(0, 4]
[30, infinity)
Step-by-step explanation:
The inequality seems a little weird since it doesn't reflect the formula for speed accurately. The right inequality should be:
average speed >= 24
(first half speed + second half speed)/2 >= 24
(x+ (x-10))/2 >= 24
x-5>=24
x>= 29
In this case, the answer should be only [30, infinity)
If I solve the inequality given by the problems, the result will be:
1/x + 1/ (x-10) >= 2/24 ---> multiply both side with x(x-10)
x-10 + x >= (2x^2-20x)/24 ---> move /24 to left side
48x-240 >= 2x^2-20x ---> move all left side to right side
0>=2x^2 -68x+240 ---> divide both side by 2
0>=x^2 - 34x +120
0>=x^2-30x -4x+120
x(x-30) -4 (x-30)
(x-4) (x-30)
x1=4 x2=30
Since the coefficient of x^2 is positive so only area between two result is negative.
The answer will be
x1= (-infinity, 4]
x1= (-infinity, 0) , (0, 4]
x2= [30, infinity)