Answer:
Step-by-step explanation:
-2x² + 12x + 32 = 0
discriminant = 12² - 4(-2)(32) = 400
positive discriminant means there are two distinct real roots
x = [-12 ± √(12² – 4(-2)·32)] / [2·(-2)]
= [-12 ± √400] / (-4)
= [-12 ± 20] /(-4)
= 8, -2
Answer:
A ∩ B = {1, 3, 5}
A - B = {2, 4}
Step-by-step explanation:
The given problem regards sets and set notation, a set can simply be defined as a collection of values. One is given the following information:
A = {1, 2, 3, 4, 5}
B = {1, 3, 5, 6, 9}
One is asked to find the following:
A ∩ B,
A - B
1. Solving problem 1
A ∩ B,
The symbol (∩) in set notation refers to the intersection between the two sets. It essentially asks one to find all of the terms that two sets have in common. The given sets (A) and (B) have the values ({1, 3, 5}) in common thus, the following statement can be made,
A ∩ B = {1, 3, 5}
2. Solving problem 2
A - B
Subtracting two sets is essentially taking one set, and removing the values that are shared in common with the other set. Sets (A) and (B) have the following values in common ({1, 3, 5}). Thus, when doing (A - B), one will omit the values ({1, 3, 5}) from set (A).
A - B = {2, 4}
Answer:
1, 4/5,2/5
Step-by-step explanation:
y = 5x
Let y = 5
5 = 5x
Divide by 5
5/5 =5x/5
1=x
Let y=4
4 =5x
Divide by 5
4/5 =5x/5
4/5 =x
Let y=2
2 =5x
Divide by 5
2/5 =5x/5
2/5 =x
Hello!
Let's write this as a proportion below.
Now we cross multiply and divide to find x.
≈ 61
Therefore,the car takes about
61 seconds for the car to drive a mile.
I hope this helps!
Factor out the coefficient of the variable 2/3 j - 2/9
Answer
2/3j-2/9 = 2/3j-2/3*1/3 = 2/3(j-1/3)
