Answer:
64.8
Step-by-step explanation:
Pythagoreon Theroem
a^2 + b^2 = c^2 in this situation it would actually be the opposite, seeing where the "x" is (on a leg) c^2 - b^2 = a^2. First take the square of 67 and 17
67 squared is 4489 and 17 squared is 289 then subtract both results
4489-289 = 4200 take the square root of this number
64.8074 (Round to the tenths 64.8)
The get (x-1)(x-√2)(x+√2)(x-√3)(x+√3).
Expanding, you get x^5-x^4-5x^3+5x^2+6x-6.
Answer:
$50,000
Step-by-step explanation:
Let x = car sales
We multiply x by 0.02 since she earns 2% along with the added $2500 so that she can end up with $3500
3500 = 0.02x + 2500
Subtract 2500 from both sides
3500 - 2500 = 0.02x + 2500 - 2500
1000 = 0.02x
Divide both sides by 0.02
1000/0.02 = 0.02x/0.02
x = 50000
You don't need 3 equations to get a general solution. To do this use the equations x-3y-z=0 and -x+2y+0z= -3. Start out by letting z = t. Then solving those 2 equations simultaneously, your x's cancel out leaving you with -y-z=-3. But since z=t, then -y=-3+t or y=3-t. Now sub that in for y in the first equation, along with the fact that z=t to get x-3(3-t)-t = 0 and solve for x. x=9-2t. So a general solution for this would be (9-2t, 3-t, t)
Answer:
There are 36 green marbles, 24 red marbles and 16 blue marbles.
Step-by-step explanation: