Answer:
The slope intercept form: y = - 5x + 7
Step-by-step explanation:
The equation of line f is y − 9 = -5(x + 7)
You need to find the slope of line f
y - 9 = -5(x + 7)
In point slope form: y - y1 = m(x - x1) where m = slope
In the line f, slope m = -5
Parallel lines, slope is the same so slope of line g is also equal - 5
Line g passes through (3, - 8) so equation in point slope form:
y + 8 = -5(x - 3)
y + 8 = -5x + 15
y = -5x + 7 <-----this is slope intercept form
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
You start with 24, there are 8 added, there are 12 taken away, then 9 are taken away. The equation looks like:
24 + 8 - 12 - 9 = <u>11</u>
First one is 5/15 next one is 5/5 next one is 15/3 next one is 15/5 I think u know how to simplify so ya
