Answer:
Answer to 2.2 Absolute value Functions 5)Function Graph sketch 1 Set each expression inside absolute the value o and solve for x 2...
Step-by-step explanation:
Answer:
24/91
Step-by-step explanation:
6 red socks and 8 black = 14 socks
P( red) = red/total = 6/14 = 3/7
Keep the red sock
5 red socks and 8 black = 13 socks
P(black) = black / total = 8/13
P(red, black, keeping the sock) = 3/7 * 8/13 = 24/91
The volume of a cone is 1/3 pi*r^2 * h. Rearranging for height gives h = 3v / pi*r^2 = (3*294.38) / (3.14*7.5^2) = 5.00 (answer B)
Answer:
(3,4)
Step-by-step explanation:
The system of equations is:
x+6y=27
7x-3y=9.
I looked up "metodo de igualacion". It is basically American for doing substitution.
However, the only difference is you are asked to solve both equations for a variable.
The first equation looks easy to solve for x. So I'm going to solve both equations for x.
x+6y=27
Subtract 6y on both sides:
x =-6y+27
7x-3y=9
Add 3y on both sides:
7x =3y+9
Divide both sides by 7:
x =3/7 y +9/7
So both equations are solved for x. You want to find when the x's are the same because you are looking for a common amongst the lines given.
So we have
-6y+27=3/7 y +9/7
I hate the fractions honestly so I'm going to multiply both sides by 7 so they will no longer be for now:
-42y+189=3y + 9
Now add 42y on both sides:
189=45y+9
Subtract 9 on both sides:
180=45y
Divide both sides by 45:
4=y
If 4=y, then y=4.
So now once we have obtain 4 for y, we will use one of the equations given along with it to find x. Just choose one. Choose the easier looking one to you.
I like the x=-6y+27 with y=4.
So replace y with giving you:
x=-6(4)+27
x=-24+27
x=3
So the solution is (x,y)=(3,4).
x=3 and y=4.
