Answer:
h(x) = (1/2)(x - 3)^2 + 2
Step-by-step explanation:
Start with y = x^3.
Multiply x^3 by the dilation factor (1/2); this compresses the graph vertically.
Next, replace the x in x^3 with (x - 3). This shifts the graph 3 units to the right.
Last, starting with your g(x) = (1/2)(x - 3)^2, add 2
You will end up with h(x) = (1/2)(x - 3)^2 + 2.
Answer:
1/3
Step-by-step explanation:
-4/15+3/5
-4/15+3×3/5×3
-4/15+9/15
-4+9/15
5/15
1/3
Hope this helps!
Answer:
perimeter = 50
Step-by-step explanation:
Tangents to a circle from an external point are congruent , then
perimeter = (8 + 8) + (10 + 10) + (7 + 7) = 16 + 20 + 14 = 50
If we want to calculate the time it takes to fill a water tank, we need the flow and volume of the tank.
The flow must be a data, but for the volume of the tank we need mathematics.
For example, if it is a cylinder, we need mathematics to know that the volume of the cylinder is:
V = pi * r ^ 2 * h