100 POINTS NEEDED RIGHT NOW! On a graph plot the points where the following function crosses the x-axis and y-axis g(x) = -5^x+5
1 answer:
Answer:
see below
Step-by-step explanation:
X-AXIS
when a graph intersects the x-axis, the y value is always 0.
Ex. Points (1,0), (-5,0), (-3,0), (6,0), etc. are all on the x-axis because y = 0.
to find where the graph crosses the x-axis, let y or g(x) = 0
0 = -5^x + 5 subtract 5 from both sides
-5 = -5^x if x is 1, that would produce -5 = -5
(1,0) x axis
Y-AXIS
when a graph intersects the y-axis, the x value is always 0.
Ex. Points (0, 1), (0, -2), (0, 3), etc. all lie on the y-axis because x = 0.
to find where teh graph crosses the y-axis, let x = 0
does the exponent "x" apply to (-5) or just 5?
(-5)^0 + 5 any number with a 0 power is 1
1 + 5 = 6
(0, 6)
or -5^0 + 5
-1 + 5 = 4
(0, 4)
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Answer:
1: 3 ratio of the volume of the cone to the volume of the cylinder
Step-by-step explanation:
Volume of cone(V) is given by:
where, r is the radius and h is the height of the cone.
Volume of cylinder(V') is given by:
where, r' is the radius and h' is the height of the cylinder.
As per the statement:
A cylinder and a cone have congruent heights and radii.
⇒r = r' and h = h'
then;
⇒
Therefore, the ratio of the volume of the cone to the volume of the cylinder is, 1 : 3