Answer:
a = 
x = 27y
Step-by-step explanation:
Order of Operations: BPEMDAS
<u>Question 1</u>
Step 1: Write out discriminant
d = b² - 4ac
Step 2: Subtract b² on both sides
d - b² = -4ac
Step 3: Divide both sides by -1
b² - d = 4ac
Step 4: Divide both sides by 4c
a =
<u>Question 2</u>
Step 1: Write out equation
2/3(x - 18y) = 6y
Step 2: Distribute parenthesis
2/3x - 12y = 6y
Step 3: Isolate <em>x </em>by adding 12y on both sides
2/3x = 18y
Step 4: Divide both sides by 2/3
x = 27y
Answer:
Step-by-step explanation:
Given
Required
Since the events are mutually exclusive, then:
So, we have:
Take LCM
Answer:
Step-by-step explanation:
Both cars, X and Y travelled 80 miles each.
Speed = distance/time
If car X took 2 hours to travel 80 miles, it means that the speed at which car X travelled is
80/2 = 40 mph
If car Y traveled at an average speed that was 50 percent faster than the average speed of car X, it means that the speed at which car X travelled is
40 + 0.5 × 40 = 60 mph
Time = distance/speed
Therefore, time taken by car Y to travel 80 miles is
80/60 = 1.33 hours
Answer:
It's a simultaneous equation because it as two solution
Step-by-step explanation:
Answer:
Neither; see below
Step-by-step explanation:
Your acceleration: 
Your friend's acceleration: 
Therefore, since both you and your friend accelerate at the same rate, neither is faster.
