The graph below could be the graph of which exponential function?
2 answers:
Answer:
The correct option is B.
Step-by-step explanation:
The general form of an exponential function is
Where, a is the initial value of the function and b is the growth factor.
If b>1, then f(x) is an increasing function and if b<1, then f(x) is an decreasing function
From the given graph it is noticed that the initial value of the function is 2. It means the value of a is 2.
The graph shows that the function is a decreasing function, therefore the value of b must be less than 1.
It means the required function is in the form of
Where, b<1.
In option B, b=0.5<1, therefore option B is correct.
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Answer: There are 32 students who like brussels sprouts but dislike beans.
Step-by-step explanation:
Since we have given that
Number of students eat in the cafeteria = 120
Fraction dislike lime beans =
Fraction who dislike lime beans and brussles sprouts both =
Fraction who dislikes lime beans but not brussles is given by
So, Number of students who like brussels sprouts but dislike lima beans is given by
Hence, there are 32 students who like brussels sprouts but dislike beans.
Answer:
8.0
Step-by-step explanation:
The triangle is a right triangle, so we are able to use trigonometric functions. Relative to the angle of 37°, we have the opposite side which is 6 and the adjacent side which is x. The trig function that uses the opposite and adjacent is tangent(SohCahToa). We can set up the following equation:
tan(37) evaluates to about , so we can plug it in and solve for x:
To the nearest tenth, x rounds to 8.0.