Answer:
Step-by-step explanation:
6 and - 2 are the only two solutions to the required quadratic equation.
So, if the variable is represented by X then (X - 6) and (X + 2) will be the only two factors of the polynomial function.
Therefore, the equation is
(X - 6)(X + 2) = 0
⇒ 
If the leading coefficient of the equation is 3 then we can write the equation as (Answer)
Answer:
1608.5 cm³
Step-by-step explanation:
Use the cylinder volume formula, V = 
r²h
If the diameter is 16 cm, then the radius is 8 cm.
Plug in the radius and height into the formula, and solve:
V = r²h
V = (8)²(8)
V = (64)(8)
V = 1608.5
So, to the nearest tenth, the volume of the cylinder is 1608.5 cm³
Answer:
There is one solution
Step-by-step explanation:
2x + y = -1
8x + 3y = -2
Multiply the first equation by -4
-8x -4y = 4
Then add the equations together to eliminate x
-8x -4y = 4
8x + 3y = -2
--------------------
-y = 2
Multiply by -1
y =-2
Now find x
2x+y =-1
2x+-2 =-1
Add 2 to each side
2x-2+2=-1+2
2x=1
Divide by 2
x = 1/2
Answer:
8.6
Step-by-step explanation:
We know that the tank is filled halfway, and it can hold 17.2 gallons, so we can just divide to figure out how much is half the tank (the amount we need to fill it)
17.2 / 2 = 8.6
We can check our work by multiplying
8.6 x 2 = 17.2
So it would take 8.6gal to fill it up. I hope this helps :)
