Two equal roots means a discriminant of zero.
(k + 2)x² + 4k = (4k + 2) x
(k + 2)x²- 2 (2k + 1) x + 4k = 0
When we have an even linear term it's easier to generate 1/4 of the usual discrimant,
0 = d/4 = (b/2)^2 - ac = (2k + 1)² - 4k(k+2) = 4k² + 4k + 1 - 4k² - 8k = -4k + 1
4k=1
k=1/4
Answer: k=1/4
Check:
(k + 2)x² + 4k = (4k + 2) x
(9/4)x² - 3x + 1 = 0
9x² - 12x + 4 = 0
(3x - 2)² = 0
A perfect square, two equal roots, good
Answer:
fourth option... ...dmdmdjxn
Answer: It may possibly be SU
Step-by-step explanation:
Answers:
21.75
1.37
10
15
Step-by-step:
Dozen flyers:price
4:7.25
12:x
To solve this mulitply 7.25 by 3 (because this is what we multiplied 4 by to get 12) 7.25*3=21.75
Question 2:
We can write teh following equation
.49+.22(x-1)=price
This is essentially saying that we pay .49 for the first ounce and .22 for every ounce after that
We can plug in an x value to get
.49+.22(5-1)
.49+.22(4)
.49+.88
1.37
Question 3:
We can write the following equation
x+2=y
We need to find out what happens when x=8
8+2=10
Question 4:
We can solve this with ratios
x:y
1.5:4.5
5:x
To solve just multiply 4.5 by 10/3 and get 15
We can just multiply
The x coordinates will stay the same. the y coordinates will be opposite.
