Answer:
k = 16 , (4, 0 )
Step-by-step explanation:
Using the discriminant Δ = b² - 4ac
• b² - 4ac = 0 , then 2 real and equal roots
Here
y = x² - 8x + k
with a = 1, b = - 8, c = k , then
b² - 4ac
= (- 8)² - (4 × 1 × k)
= 64 - 4k , and equating to zero
64 - 4k = 0 ( subtract 64 from both sides )
- 4k = - 64 ( divide both sides by - 4 )
k = 16
Then
y = x² - 8x + 16
Equate to zero to find the root
x² - 8x + 16 = 0 ← left side is a perfect square
(x - 4)² = 0
x - 4 = 0 ( add 4 to both sides )
x = 4
The point on the x- axis is (4, 0 )
I think it is random sampling because he picked one out of every 3 girls. Therefore, he picked at random.
Hope that helped!
Mandy Woodland
Answer:
B
Step-by-step explanation:
Note:
1 gal = 4 quarts
1 pint = 0.5 quart
Re-writing all the choices in dollars and quarts and calculating how much each quart costs
A) $1 per 1 quart
B) $2 per gallon = $2 per 4 quarts = $2 ÷ 4 quarts = $0.50 per quart
C) $1.50 per 2 quarts = $1.50 ÷ 2 quarts = $0.75 per quart
D) $0.50 per 1 pint = $0.50 per 0.5 quart = $0.50 ÷ 0.5 quart = $1 per quart
If you compare all of the above, it is clear that answer B ($0.50 per quart) is the cheapest rate and hence the best deal.
Answer:
(5x - 1)(2y - 3)
Step-by-step explanation:
10xy - 15x - 2y + 3 = 5x (2y - 3) - (2y - 3) = (5x - 1) (2y - 3)
Answer:no cap gwinnett lame 4 dis hard as
Step-by-step explanation:
