Answer:
1.6
this is a rational number, since it can be written in fraction form, however it is not an integer because it is a decimal number and not a whole number.
Answer:
3 real solutions.
Step-by-step explanation:
Try x = 1 :
f(1) = 1 + 5 + 3 - 9 = 0
so x = 1 is a solution.
So x - 1 is a factor of the function.
If we divide the function by x - 1 we get the quotient x^2 + 6x + 9 which is
(x + 3)^2.
So there are 2 more roots of -3.
Answer:
Step-by-step explanation:
Alrighty
squaer base so length=width, nice
v=lwh
but in this case, l=w, so replace l with w
V=w²h
and volume is 32000
32000=w²h
the amount of materials is the surface area
note that there is no top
so
SA=LW+2H(L+W)
L=W so
SA=W²+2H(2W)
SA=W²+4HW
alrighty
we gots
SA=W²+4HW and
32000=W²H
we want to minimize the square foottage
get rid of one of the variables
32000=W²H
solve for H
32000/W²=H
subsitute
SA=W²+4WH
SA=W²+4W(32000/W²)
SA=W²+128000/W
take derivitive to find the minimum
dSA/dW=2W-128000/W²
where does it equal 0?
0=2W-1280000/W²
128000/W²=2W
128000=2W³
64000=W³
40=W
so sub back
32000/W²=H
32000/(40)²=H
32000/(1600)=H
20=H
the box is 20cm height and the width and length are 40cm
So, I’m not the best at explaining, but I did all the work and hopefully that explains and helped you. But basically all I did was answer them and compared if each equation matched or not.
The answer is A.