One weekend 5780 people saw a new movie at 17 different theaters each theater sold tickets at $7.50 a piece. Assuming that each
2 answers:
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Answer:
Step-by-step explanation:
To find the zeros of the quadratic function f(x)=6x^2 + 12x – 7 we need to factorize the polynomial.
To do so, we need to use the quadratic formula, which states that the solution to any equation of the form ax^2 + bx + c = 0 is:
So, the first thing we're going to do is divide the whole function by 6:
6x^2 + 12x – 7 = 0 -> x^2 + 2x - 7/6
This step is optional, but it makes things quite easier.
Then we using the quadratic formula, where:
a=1, b= 2, c = -7/6.
Then:
So the zeros are:
The average annual return is
Let
t--------> the time in hours
d-------> the distance in miles
we know that
this is a linear equation that represent the scenario
in this equation the independent variable is the time t and the dependent variable is the distance d
The distance's equation in function notation is equal to
Using a graph tool
see the attached figure
The domain of the function is the interval----------> [0,∞)
The range of the function is the interval-------> [0,∞)
<u>Statements</u>
<u>a) The independent variable, the input, is the variable d, representing distance</u>
The statement is false
Because the independent variable is the variable t
<u>b) The distance traveled depends on the amount of time Marlene rides her bike</u>
The statement is true
Because the distance's equation in function notation is equal to
<u>c) The initial value of the scenario is 16 miles per hour</u>
The statement is false
Because represent the rate or the slope of the linear equation
<u>d) The equation t = d + 16 represents the scenario</u>
The statement is false
Because, the scenario is represented by the function
<u>e) The function f(t) = 16t represents the scenario</u>
The statement is true
