The path that Gloria follows when she jumped is a path of parabola.
The equation of the parabola that describes the path of her jump is 
The given parameters are:
<em>Assume she starts from the origin (0,0)</em>
The midpoint would be:
So, the vertex of the parabola is:
Express properly as:
A point on the graph would be:
The equation of a parabola is calculated using:
Substitute in
Substitute in
Collect like terms
Solve for a
Simplify
Substitute in
Hence, the equation of the parabola that describes the path of her jump is
See attachment for the graph
Read more about equations of parabola at:
brainly.com/question/4074088
This equation is in slope-intercept form; y = mx+b.
m is the slope and b is the y-intercept, so to find the slope you'd look at the coefficient of x.
In this equation, y = 3x+5, the coefficient of x is 3, so that means that the slope of this equation is 3.
Answer is:
3 is the slope
I'd say (a) = 52.5 minutes or 52 minutes and 30 second
(b) = 45 minutes
Answer:
a) rational
b) rational
c)exponential
d) power function
e) polynomial function of degree 6
f) trig function
Step-by-step explanation:
Functions can be classified by the operations they contain. Remember the following functions:
- Power function has as its main operation of an exponent on the variable.
- Root function has as its main operation a radical.
- Log function has as its main operation a log.
- Trig function has as its main operation sine, cosine, tangent, etc.
- Rational exponent has as its main function division by a variable.
- Exponential function has as its main operation a variable as an exponent.
- Polynomial function is similar to a power function. It has as its main function an exponent of 2 or greater on the variable.
Below is listed each function. The bolded choice is the correct type of function:
(a) y = x − 3 / x + 3 root function logarithmic function power function trigonometric function rational function exponential function polynomial function of degree 3
(b) y = x + x2 / x − 2 power function rational function algebraic function logarithmic function polynomial function of degree 2 root function exponential function trigonometric function
(c) y = 5^x logarithmic function root function trigonometric function exponential function polynomial function of degree 5 power function
(d) y = x^5 trigonometric function power function exponential function root function logarithmic function
(e) y = 7t^6 + t^4 − π logarithmic function rational function exponential function trigonometric function power function algebraic function root function polynomial function of degree 6
(f) y = cos(θ) + sin(θ) logarithmic function exponential function root function algebraic function rational function power function polynomial function of degree 6 trigonometric function
