These are two questions and two answers:
Question 1:
<span>A
quadratic equation is shown below: 3x^2 − 15x + 20 = 0 Part A: Describe
the solution(s) to the equation by just determining the radicand. Show
your work.
Answer: </span><span>The negative value of the radicand means that the equation does not have real solutions.
Explanation:
1) With radicand the statement means the disciminant of the quadratic function.
2) The discriminant is: b² - 4ac, where a, b, and c are the coefficients of the quadratic equation: ax² + bx + c
3) Then, for 3x² - 15x + 20, a = 3, b = - 15, and c = 20
and the discriminant (radicand) is: (-15)² - 4(3)(20) = 225 - 240 = - 15.
4) The negative value of the radicand means that the equation does not have real solutions.
Question 2:
Part B: Solve 3x^2 + 5x − 8 = 0 by using an appropriate
method. Show the steps of your work, and explain why you chose the
method used.
Answer: </span> two solutions x = 1 and x = - 8/3x
Explanation:
1) I choose factoring (you may use the quadratic formula if you prefer)
2) Factoring
Given: 3x² + 5x − 8 = 0
Make 5x = 8x - 3x: 3x² + 8x - 3x - 8 = 0
Group: (3x² - 3x) + (8x - 8) = 0
Common factors for each group: 3x(x -1) + 8(x - 1) = 0
Coomon factor x - 1: (x - 1) (3x + 8) = 0
The two solutions are for each factor equal to zero:
x - 1 = 0 ⇒ x = 1
3x + 8 = 0 ⇒ x = -8/3
Those are the two solutions. x = 1 and x = - 8/3
Let the measure of its complement be x°.
then, measure of angle = (x + 20)°. and measure of angle = (35 + 20)° = 55°
Answer:
{(3,6),(2,1),(-8,4),(2,0)}
Step-by-step explanation:
when determining if a set of points is a function
determine if any of the x values or y values repeat. if they do then it is not a function because it will not pass the function like test. (which is where you can draw a line trough the function and it will hit more than once.
none if the x values repeat and none if the y values do either.
x values : 3,2,-8,2
y values: 6,1,4,0
Answer:
4 5/10
Step-by-step explanation:
Divide. You will have a remainder. Put the remainder over the denominator:
45/10 = 40/10 + 5/10 = 4 5/10
4 5/10 is your answer.
~
F(x) = 2x² - 2x + 7
g(x) = x² + 9x - 6
f(x) - g(x) = 2x² - 2x + 7 - (x² + 9x - 6)
= 2x² - 2x + 7 - x² - 9x + 6
= 2x² - x² - 2x - 9x + 7 + 6
= x² - 11x + 13
The 1st option.
