<span>(2) y is the total cost, x is the number of months of service, $40 is the installation fee, and $90 is the service charge per month.</span>
y = 40 + 90x
y = total cost
x = number of months of service
40 = one time installation fee
90 = monthly service charge.
Let us assume that the number of months of service is 10 months. then, the total cost would be:
y = 40 + 90(10)
y = 40 + 900
y = 940
The point ends up being ( 1, -1) and if you're graphing it you would put a dot on 1 and -1 on your graph and put a line connecting them (hope this helps)
Answer:
D) 0.1250
Step-by-step explanation:
Let P(J) = Probability of John to purchase 0 books
Let P(B) = Probability of Beth to purchase 0 books
P(J∩B) = Probability that both john and Beth will purchase 0 books .ie. a total of 0 books is purchased.
Since the decisions to purchase books are two independents events,
P(J∩B) = P(J) * P(B)
P(J) = 0.5
P(B) = 0.25
P(J∩B) = 0.5 * 0.25
P(J∩B) = 0.125
Answer:
8 red marbles.
Step-by-step explanation:
All together we have 40 marbles. The fraction of marbles that are red is 1/5 which means that we should divide the total number of marbles, which is 40 by the denominator ( Bottom number of fraction ) 5 so that we get the number of groups that have 1 red marble in them. In this case we have 8 groups.
40/5=8
You always divide by the denominator ( Bottom number of fraction ) first and then you multiply your answer by the numerator ( Top number of fraction ) .
If each group has 1 red marble in it and we have 8 groups, it means that we have 8 red marbles in the bag.
1 * 8 = 8 red marbles in the bag
If the numerator (number above the fraction line) was more than one, then this would mean that we have more than 1 marble in each group of marbles.
Example:
If we had 3/5 we would have 3 marbles in each group of marbles. This means that instead of doing 1 * 8 we would have to do 3 * 8 = 24. We would have 24 red marbles in the bag.
Easy and quick way if you do not need the explanation:
Another way we could do this is by simply multiplying the fraction ( 1/5 ) by the total number of marbles ( 40 ). This would still give us an answer of 8 red marbles in the bag. 40/5=8, 8*1=8
we are given

we can see that
numerator is

and denominator is

We always put coefficient of numerator inside box
we can see that coefficient of numerators are 3 , -4 and 9
and in the left side , we put value of x after putting denominator =0


so, left side will be 2
so, option-D..................Answer