Which of the following options results in a graph that shows exponential growth?
2 answers:
Answer:
f(x) = 0.4·3^x
Step-by-step explanation:
Exponential growth occurs when the base is greater than 1 and the exponent is an increasing non-negative function of the variable, or when the problem can be cast in that form using the rules of exponents.
Here, in f(x) = 0.4×3^x, the base is 3 (greater than 1), and the exponent of x has a positive coefficient.
Answer:
Step-by-step explanation:
Remember that for a function to be exponential you need the number to which is being elevated to a certain exponent to be greater than 1, since in the options the only one that is greater than 1 is (3) the first option is the only one that is actually exponential eventhough all of them have exponents.
You might be interested in
Answer:
B. More than one quadrilateral exists with the given conditions, and all instances must be isosceles trapezoids.
Step-by-step explanation:
In a parallelogram, adjacent angles are supplementary. They are only congruent if the parallelogram is a rectangle. In this problem, adjacent angles are both congruent and acute. If this were a triangle, it would guarantee the triangle is isosceles.
The fact that opposite angles are supplementary guarantees that the fourth side of the figure is parallel to the base between the acute angles. That makes the figure an isosceles trapezoid. Unless specific angles and side lengths are specified, the description matches <em>any</em> isosceles trapezoid.
