The equation of a parabola in vertex form, is:
Where <em>(h,k)</em> are the coordinates of the vertex.
From the given graph, notice that the coordinates of the vertex are:
The roots are the values of <em>x</em> where the graph crosses the x-axis. In this case, the graph crosses the x-axis at the points <em>(4,0)</em> and <em>(6,0).</em> Then, the roots are:
Substitute the values of the vertex into the equation of the parabola in vertex form:
To find the value of <em>a</em>, substitute <em>(x,y)=(4,0)</em>:
Therefore, the equation of the parabola is:
The value of the expression will be equal to 55.
<h3>What is an expression?</h3>
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that 6 is added to the product of 7 and a number 7. The expression will be written as,
E = 7 x 7 + 6
E = 49 + 6
E = 55
Therefore, the value of the expression will be equal to 55.
To know more about an expression follow
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A high outlier in a data sat causes the mean and median value to move slightly towards the outlier
Answer:
0.11428571428
Step-by-step explanation:
4 / 5 / 7 = 0.11428571428
Answer:
Step-by-step explanation:
To solve a second-order homogeneous differential equation, we need to substitute each term with the auxiliary equation 
where the values of 
are the roots:
Since the values of are distinct real roots, then the general solution is 
.
Thus, the general solution for our given differential equation is .
