Answer:
I believe it's the last one, if you start from the lowest vertex it would be M'H'I'J'K'L'
The answer is Theta = 7/5
Hope this would do... :)
Answer:
y = 6
Step-by-step explanation:
so since you have 2 variables, you need to find a substitution for one of them.
let's do that for y
let y = something in the second equation.
y = 18 - 3x
then plug this into the first equation
4x = 3(18 - 3x) - 2
4x = 54 - 9x -2
4x = 52 - 9x
13x = 52
x = 4
now you have x, plug it into any of the equations to find y.
4(4) = 3y - 2
16 = 3y - 2
18 = 3y
y = 6
Answer:
C) see explanation
Step-by-step explanation:
Given function:
<h3><u>Part A</u></h3>
To find the <u>x-intercepts</u>, set the function to zero, factor and solve for x:
Therefore:
Therefore, the x-intercepts of the graph of f(x) are
<h3><u>Part B</u></h3>
As the leading coefficient is negative, the parabola will open downwards. Therefore, the vertex of the graph of f(x) will be a <u>maximum</u>.
The x-coordinate of the vertex is the midpoint of the x-intercepts:
To find the y-coordinate of the vertex, substitute the x-value into the function:
Therefore, the <u>coordinates of the vertex</u> are:
<h3><u>Part C</u></h3>
Find the y-intercept by substituting x = 0 into the function:
Therefore, the y-intercept is (0, 16)
To graph f(x)
- Plot the vertex
- Plot the x-intercepts
- Plot the y-intercept
- Draw a parabola opening downwards with the vertex as the maximum point.
The axis of symmetry is the x-value of the vertex. Use this to help ensure the curve is symmetrical.