Answer:
2
Step-by-step explanation:
4x = 32 - x2 would be much clearer if written as 4x = 32 - x^2. Please use
" ^ " to indicate exponentiation.
Rewrite 4x = 32 - x^2 in the standard form of a quadratic: x^2 + 4x - 32
Then the coefficients are a = 1, b = 4 and c = -32.
Find the discriminant. It is b^2-4ac.
Here, b^2-4ac = 4^2 - 4(1)(-32), or 16 + 128, or 144.
Because the discriminant is positive, we know immediately that this quadratic has two real, unequal roots.
So, the answer to this question is "the graph of 4x = 32 - x^2 cross the x-axis in two places."
1. positive integer
2. opposites
3. absolute value
4. rational number
Answer:
27 gallons is the capacity of the tank.
Step-by-step explanation:
Let the capacity of the tank be x gallons.
Initial tank was filled =
After travelling tank was found to have =
24 gallons of gasoline was added to fill the tank completely.
27 gallons is the capacity of the tank.
-x=-y+2
x=y-2
now substitute iin the first one
y=(y-2)^2+5 (y-2)-3
y=y^2-4y+4 +5y-10-3
y=y^2+y-9
y^2-9=0.
y^2=9
y=3
3-x=2
-x=2-3
-x=-1
x=1
the solution are x=1 and y=3
3=1^2+5 (1)-3
3=1+5-3
3=6-3
3=3