<u>Answer:</u>
A) There are two complex solutions.
<u>Step-by-step explanation:</u>
To know how many solutions a quadratic equation has, calculate the discriminant of the equation.
discriminant = b² - 4ac
where a = coefficient of x²
b = coefficient of x
c = constant of equation
if b² - 4ac > 0 , then equation has 2 real roots
if b² - 4ac = 0 , then equation has 1 real, repeated root
if b² - 4ac < 0 , then equation has 2 complex roots
In this case, discriminant = 9² - 4(-2)(-12)
= -15
As -15 < 0, equation has 2 complex roots.
Yes I need a bit of a better picture when done please let me know :)
<em>Missing Part of Question:</em>
<em>Explain whether the inequality Jack writes is correct or incorrect. In your explanation, include a description of each value in the inequality in terms of what it represents.</em>
Answer:
Jack is incorrect
Step-by-step explanation:
Given:
Jack representation: ![-10 < -15](https://tex.z-dn.net/?f=-10%20%3C%20-15)
Required
State with reason if Jack is correct or not
Jack representation of both elevation shows implies that -10 is less than -15
This illustration is incorrect because;
If the numbers are presented on a number line
-10 is to the right of -15
And numbers on the number line increases along the right hand side.
Hence;
We can conclude that Jack is incorrect because ![-10 > -15](https://tex.z-dn.net/?f=-10%20%3E%20-15)
The correct options are B and C.
Answer:
A. f(x) = (4x+5)(x-3)
B. Since +4 > 0, the graph opens up
as always, the vertex is at x = -b/2a = 7/8
C. plot the vertex at (7/8, -18 1/16)
pick a point or two, say at x=0,1,2 and plot them. then draw a curve through them.
Step-by-step explanation:
f(x) = 4x^2 − 7x − 15
Part A: What are the x-intercepts of the graph of f(x)? Show your work.
Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work.
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph.