Answer:
See attachment.
Step-by-step explanation:
The given functions are:
and g(x)=-1
To find the x-value of the point of intersection of the two functions, we equate the two functions and solve for x.
The graph that shows the input value for which f(x)=g(x) is the graph which shows the point of intersection of f(x) and g(x) to be at x=-2.
check the picture below.
notice, a function that is decreasing, namely have a negative slope, doesn't have to be negative.
The height of the smaller can would need to be 12.8 cm.
First find the volume of the larger can of paint. The volume of a cylinder is given by the formula
V=πr²h
Using the dimensions of the larger can, we have
V = 3.14(8²)(20) = 4019.2
Since he has 1/4 of this can, divide the volume by 4:
4019.2/4 = 1004.8
We will use this as the volume of the smaller can. Substituting this in along with the radius of the smaller can (using the same volume formula), we have:
1004.8 = 3.14(5²)h
1004.8 = 78.5h
Divide both sides by 78.5:
1004.8/78.5 = 78.5h/78.5
12.8 = h
False because it doesn’t meet any triangle congruence theoreme
