First you have to complete the square. The first step would be 3x^2-6x=-11. Then you divide -6 by 2 and square the number you get. 3x^2-6x+9=-11+9. 3x^2-6x+9=-2. Factor out the three to get 3(x^2-2x+3)=-2. You can't factor what is in the parenthesis. You should then add two to each side. 3(x^2-2x+3)+2.A = 3B= I don't knowC = 2
Answer:
15/36
Step-by-step explanation:
One hack that I used is I looked at all of the options in the first row and added the number one less 6 times
I basically did
5+(5-1)+(5-2)+(5-3)+(5-4)
5+4+3+2+1
15
Iysosome. I mean that was easy
Ok so
what we do is
how much greater=wasted space=cylindervolume-conevolume
volume of a cinlinder=hpir^2
volume of a cone=(1/3)hpir^2
we can alread sybsitute something
(3/3)hpir^2-(1/3)hpir^2=(2/3)hpir^2
so wasted space=(2/3)hpir^2
diameter=4
d=2r
d/2=r
4/2=2=r
and 6=height
so
2/3(6)(3.14)(2^2)
4(3.14)(4)
16(3.14)
50.24 in^3 wasted
The way I would approach such a question is to put it into equations.
My first equation would be 16x+19y=478 which represents $16 on ski's per person and $19 on snowboards must add up to $478
My second would be x+y=28 because the number of skis and snowboards rented must add up to 28 so each person has one item.
Next you solve them simultaniously. Gonna use elimination
16x+19y=478 (1)
<span>x+y=28 (2) </span>
16x+16y=448 (3 = equation 2 * 16)
(1)-(3) => 3y=30 y = 10.
So now we know that 10 people rented snow boards. Just sub that into eq (2) and get x = 18. So 10 people got snow boards and 18 ski's.
To check, 10x19 = 190
16x18= 228
190+228=478 which works out perfectly!