Step-by-step explanation:
d^3=d*d*d=10*10*10=1000
450=c*1000
450/1000=c
9/20=c
The vertex is when x=-b/2a, which is also the line of symmetry.
in this case, b=6, a=3, so x=-6/6=-1
when x=-1. y=3-6-1=-4
another way to do it is to write the equation into vertex form by making a square:
3x²+6x-1
3(x²+2x-1/3)
3(x²+2x+1-1-1/3))
3(x²+2x+1-4/3))
notice the bold part makes a square:
3(x+1)²-4
Either way,
the vertex is (-1, -4)
the axis of symmetry is x=-1
the coefficient of x² is 3, a positive number, so this parabola opens upward. the function has a minimum value of y=-4
the range is all real number larger than -4
Answer:
21 bows per hour
Step-by-step explanation:
when your trying to find the perfect hour you divide.
so 756÷36=21
hope this helps
Step-by-step explanation:
If x is the volume of the first tank, and y is the volume of the second tank, then:
x + y = 55
x = 2y + 4
Solve the system of equations using either substitution or elimination. Using substitution:
2y + 4 + y = 55
3y + 4 = 55
3y = 51
y = 17
Solve for x using either equation.
x + 17 = 55
x = 38
The first tank holds 38 gallons, and the second tank holds 17 gallons.
24
x
^2
+
54
x
+
21,
if you would like me to explain how to do it, I can in the comments.
