is the formula for calculating x1 and x2
To prove x1 + x2 = -b/a all we need to do is to express x1 and x2 from equation above
once we do we will get -2b/2a which is equal to -b/a because square root part will negate each other. one has + sign in front and other - sign
Showing that x1x2 = c/a goes similar way.
the numerator parts is actually difference of squares. after that we will have:
-b^2 -b^2 + 4ac = 4ac
in denominator we have 2a*2a = 4a^2
4ac/4aa = c/a
The expression relating the distance and the time is:
velocity = distance / time
We are given the velocity as 12 km/h
Part a:
for t = 3.5 hours
velocity = distance / time
distance = velocity x time
distance = 12 x 3.5 = 42 km
Part b:
for s = 30 km
velocity = distance / time
time = distance / velocity
time = 30 / 12 = 2.5 hours
Answer:
Step-by-step explanation:
m = slope
b = y intercept
Answer:
Round off to closest value.
Step-by-step explanation:
In order to remove the requirement for change, every time the client buys a product for $0.20 the random number that lies between 0 and 1 would be produced also the same would be rounded to the closest value i.e. 0 or 1. In the case when 0 arise so the customer would not have to pay any amount but if 1 arise so the customer have to pay $1. So this type of method would remove the requirement for a minor change
Answer:
The odds of the event happening = 7:3
Step-by-step explanation:
Given
Probability of an event happening = 70%
To find the odds of the event happening.
Solution:
Odds of an event happening is the ratio of the probability of the event happening and the probability of the event not happening.
Probability of the event not happening will be = 
So, the ratio of the probabilities of event happening and not happening can be given as:
⇒ 
⇒ 
[Representing percent in fraction form]
⇒ 
[Replacing division sign with multiplication sign by taking reciprocal of divisor.]
⇒ 
[Canceling out the common terms]
⇒ 
[Reducing fraction to simplest form]
Thus, odds of the event happening is = 
