2.03 *24 = 48.72................
Answer:
α² +β² = 3 4/9
Step-by-step explanation:
Assuming α and β are solutions to the equation, it can be factored as ...
(x -α)(x -β) = 0
Expanding this, we get ...
x² -(α +β)x +αβ = 0
Dividing the original equation by 3, we find ...
x² +(1/3)x -5/3 ≡ x² -(α+β)x +αβ ⇒ (α+β) = -1/3, αβ = -5/3
We know that the square (α+β)² can be expanded to ...
(α +β)² = α² +β² +2αβ
α² +β² = (α +β)² -2αβ . . . . . . subtract 2αβ
Substituting the values for (α+β) and αβ, we find the desired expression is ...
α² +β² = (-1/3)² -2(-5/3) = 1/9 +10/3 = 31/9
α² +β² = 3 4/9
The answer to you question is B for number 1 and for 2 it is C. Hope this helps
Answer:
She can walk 2.46 repeating miles in 1 hour
Step-by-step explanation:
We can write a proportion to solve this problem. Write the number of miles on top and the time in minutes on the bottom. We know 1 hour is 60 minutes.
1.85 miles x miles
------------------- = ----------------------
45 miles 60 minutes
Using cross products
1.85 * 60 = 45x
Divide each side by 45
1.85*60/45 = 45x/45
2.466666666 =x
She can walk 2.46 repeating miles in 1 hour
Answer:
Step-by-step explanation: You need to find a the lowest number that the denominators can be timed by. In you're case. You can just times 5 by 2 = 10
So that both the denominators are 10. And the denominator that was once 5. The numerator of that fraction also needs to be timed by 2.
So then you have 7 18/10 - 6 15/10
Then you can convert them to to proper fractions 8 8/10 - 7 5/10
Then you can take away the fractions so it's
8 8/10 - 7 5/10 = 1 3/10
