<h2>The graph of y = ax^2 + bx + c
</h2><h2>A nonlinear function that can be written on the standard form
</h2><h2>ax2+bx+c,where a≠0
</h2><h2>All quadratic functions has a U-shaped graph called a parabola. The parent quadratic function is
</h2><h2>
y=x2
</h2><h2>
The lowest or the highest point on a parabola is called the vertex. The vertex has the x-coordinate
</h2><h2>x=−b2a
</h2><h2>The y-coordinate of the vertex is the maximum or minimum value of the function.
</h2><h2>a > 0 parabola opens up minimum value
</h2><h2>a < 0 parabola opens down maximum value
</h2><h2>
A rule of thumb reminds us that when we have a positive symbol before x2 we get a happy expression on the graph and a negative symbol renders a sad expression.
</h2><h2>The vertical line that passes through the vertex and divides the parabola in two is called the axis of symmetry. The axis of symmetry has the equation
</h2><h2>x=−b2a
</h2><h2>The y-intercept of the equation is c.
</h2><h2>
When you want to graph a quadratic function you begin by making a table of values for some values of your function and then plot those values in a coordinate plane and draw a smooth curve through the points.</h2>
To get an education, your're welcome.
Area of the base is 21 square feet
<span>Pyramid Volume = (Area of the Base * Height) ÷ 3
</span>
84 = (21 * Height) / 3Height = 84 * 3 / 21
Height = 12 feet
Source:http://www.1728.org/volpyrmd.htm
Answer:
17.02
Step-by-step explanation:
Calculation for What is the variance of the stock's returns
First step is to calculate the E(R) Expected return
E(R) = .29(−0.115) + .32(0.02) + .39(0.252)
E(R) = .0713*100
E(R)=7.13%
Now let calculate the variance
σ2 = .29(−0.115 −0.0713.)^2 + 32(0.02−0.0713 )^2 + .39(0.252 −0.0713 )^2
σ2 = .1702*100
σ2=17.02%
Therefore the variance of the stock's returns will be 17.02%
Answer:
r = 6 mph and f = 11 mph
Step-by-step explanation:
Representations:
1) speed of faster cyclist: f = r + 5
2) speed of slower cyclist: r
Distances covered:
(r + 5)(5 hr) + r(5) = 55 mi (total distance covered)
Then 5r + 25 + 5r = 55, or, after reducing this equation:
r + 5 + r = 11, or
2r = 6
Then r = 6 mph and f = 11 mph
