Answer:
43x-19y+74
hope this helps!!:)
Step-by-step explanation:
x=
16
7−
177
=−0.394
x=
16
7+
177
=1.269Step-by-step explanation:
Answer:
Step-by-step explanation:
A.
R(x)=px=x(-45 x+1800)=-45 x²+1800 x
B.
C(x)=7000+100 x
C.
P(x)=R(x)-C(x)=-45 x²+1800 x-(7000+100 x)
or P(x)=-45x²+1800 x-100 x-7000
or P(x)=-45 x²+1700 x-7000
The rectangular prism has the greatest volume
Rectangular Prism Volume= 72
Triangular Prism Volume = 70
Volume formulas:
(R.Prism) V=l•w•h
(T. Prism) V= b•h
Work:
(R.Prism)
V= 4•6•3
V= 72
(T.Prism)
V= (1/2•4•5)(7)
V= 70
Hope this helps
Answer:
Step-by-step explanation:
a.) When you have the following equation
To find the vertex you take the h value, change its sign (to positive in this case) and that will give you the x value. To find the y-value just take the z. This gives us (15,-100)
b.) The axis of symmetry is just the x value of the vertex which is 15
c.) I'm not too sure what this means but can tell you that it's concave up because there's no way x can be negative
d.)Because the a value is positive that means that the graph is concave up which means that it has a minimum. The minimum is just the y value of the vertex which is just -100
e.) I'm going to write this in interval notation. The domain is all the possible x values of the graph which is all real numbers or (-∞,∞). The range is all the possible y values. We know that the minimum is -100 which means all the possible y values are [-100,∞)
f.) This is obviously a parabola and because the graph is concave up and has a negative minimum there must be 2 x intercepts.