Consider the graph of the function f(x) = 2(x + 3)2 + 2. Over which interval is the graph decreasing? (–∞, –3) (–∞, 2) (–3, ∞) (
2, ∞)
2 answers:
Answer:
(–∞, –3)
Step-by-step explanation:
The function is a quadratic function of order 2 and positive coefficient.
This is in the form of the function , but it is displaced 3 units to the left of the x axis and two units up in the y axis. type of functions are decreasing from -∞ to its vertex and then they are increasing from the vertex to infinity.
Observe in the attached graph that this function has its vertex in the point (-3, 2) and is decreasing from -∞ to x = -3. Then it is increasing until ∞. Therefore the correct option is:
(-∞, -3)
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Answer:
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Step-by-step explanation:
The order in which the batteries are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
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Answer:
C. Jared is not correct because the cone and the cylinder have the same base and height so the cone holds 4,712/3≈1,571 centimeters cubed of sand.
Step-by-step explanation:
We have a cone and a cylinder with the same base and height.
We can express the volume of the cylinder as:
being r the radius and H the height.
The volume of the cone can be written as:
As they have the same base and height, we know that the volume of the cylinder is 3 times the volume of the cone.
If the volume of the cylinder is 4,712 cm^3, then the volume of the cone is: