Answer:
2
Step-by-step explanation:
So I'm going to use vieta's formula.
Let u and v the zeros of the given quadratic in ax^2+bx+c form.
By vieta's formula:
1) u+v=-b/a
2) uv=c/a
We are also given not by the formula but by this problem:
3) u+v=uv
If we plug 1) and 2) into 3) we get:
-b/a=c/a
Multiply both sides by a:
-b=c
Here we have:
a=3
b=-(3k-2)
c=-(k-6)
So we are solving
-b=c for k:
3k-2=-(k-6)
Distribute:
3k-2=-k+6
Add k on both sides:
4k-2=6
Add 2 on both side:
4k=8
Divide both sides by 4:
k=2
Let's check:
:


I'm going to solve
for x using the quadratic formula:







Let's see if uv=u+v holds.

Keep in mind you are multiplying conjugates:



Let's see what u+v is now:


We have confirmed uv=u+v for k=2.
Answer:
34 boys
Step-by-step explanation:
72 students
G-19:B-17 Ratio
19 + 17 = 36
72/36 = 2
19 x 2 = 38
38 girls
17 x 2 = 34
34 boys
Can you show the whole question
Answer:
5 and 6
Step-by-step explanation:
You have to find two numbers (in the chart) that have a difference of 3/8.
This is just one possiblity, there are other correct answers.
There is size 5 and 6. 9 and 4/8-9 and 1/8=3/8.
Answers:
10) y= 1/2x - 2
11) y= 2x + 3
12) y= 2/3x - 4
I found this by using y=mx+ b