Answer:
Step-by-step explanation:
The zeros of a function are where it crosses the x axis, so just find the coordinates for the x intercepts.
1.
and 
2.
and 
X + 0.4[6-x] = 0.5*6 0.6x = 0.6 x = 1 gallon the answer is, "one gallon".
Answer:
Step-by-step explanation:
given a point
the equation of a line with slope m that passes through the given point is
or equivalently
.
Recall that a line of the form
, the y intercept is b and the x intercept is
.
So, in our case, the y intercept is
and the x intercept is
.
In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph
. Which means that 
The slope of the tangent line is given by the derivative of the function evaluated at
. Using the properties of derivatives, we get
. So evaluated at
we get 
Replacing the values in our previous findings we get that the y intercept is

The x intercept is

The triangle in consideration has height
and base
. So the area is

So regardless of the point we take on the graph, the area of the triangle is always 2.
Answer:
X=-1/2
Y=3/4
Step-by-step explanation:
Fraction of strawberry = 1 / (2 + 1)
Fraction of strawberry = 1/3
Volume = πr²h/3
Volume = π(1.5)²(8)/3
Volume = 6π
Volume of strawberry = 1/3 x 6π
Volume of strawberry = 2π in³