Answer:
x = 18.5
Step-by-step explanation:
Given
+ 
= 10
Multiply through by 4 to clear the fractions
2x + 3 = 40 ( subtract 3 from both sides )
2x = 37 ( divide both sides by 2 )
x = 
= 18.5
3 gallon.................
F(x) = 3x² + 6x - 1
The graph is a parabola open upward (a= 3>0) with a minimum.
Calculate the vertex:
x = -b/2a → x = -6/(2.3) = -1. Then the axis of symmetry is x = - 1
Now to calculate the minimum, plugin the value of x:
y = 3x² + 6x - 1
y = 3(-1)² + 6(-1) -1
y= 3 - 6 -1 and y = - 4,
Ten the vertex (minimum) is at (-1,- 4)
The area of a parallelogram is equal to the base multiplied by the height. So in this instance it would be (3x+5)*(7x-1). Foil out the binomials. 21x^2+35x-3x-5 Combine like terms. 21x^2+32x-5
The area is 21x^2+32x-5
