9514 1404 393
Answer:
x = -6 or 6
Step-by-step explanation:
The square root is always positive, so the equation simplifies to ...

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The graph shows the solutions to f(x) = 0, where f(x) = √(4x²) -√(x²) -6.
Answer:
1.) 4 7/15
2.) 2 3/8
3.) 4 7/10
4.) 2 1/3
Step-by-step explanation:
1.) 1 4/5 + 2 2/3
3 + 4/5 + 2/3
LCD = 15
3 + 12/15 + 10/15
3 + (12 + 10)/15
3 + 22/15
3 + 1 7/15
4 7/15
2.) 5 7/8 - 3 1/2
(5 x 8 + 7)/8 - 3 1/2
47/8 - 3 1/2
47/8 - (3 x 2 + 1)/2
47/8 - 7/2
LCD = 8
47/8 - 28/8
19/8
2 3/8
3.) 1 1/2 + 3 1/5
4 + 1/2 + 1/5
LCD = 10
4 + 5/10 + 2/10
4 + (5 + 2)/10
4 7/10
4.) 7 5/6 - 5 1/2
(7 x 6 + 5)/6 - 5 1/2
47/6 - 5 1/2
47/6 - (5 x 2 + 1)/2
47/6 - 11/2
LCD = 6
47/6 - 33/6
(47 - 33)/6
14/6
7/3
2 1/3
Answer:
Step-by-step explanation:
Divide the total number of cans (5022) by the number of homerooms (18) to get the number of cans collected by each homeroom:
5022 cans
---------------------- = 279 cans per homeroom
18 homerooms
Answer:
0.6603 = 66.03% probability that it will be sent with the ABC Speedy Delivery Company and arrive on time.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Sent by ABC Speedy Delivery Service.
Event B: Arrived on time.
The probability that any given parcel will be sent by the ABC Speedy Delivery Service is 0.71.
This means that 
The probability that the parcel will arrive on time given the ABC Speedy Delivery Company was used is 0.93.
This means that 
Find the probability that it will be sent with the ABC Speedy Delivery Company and arrive on time.
This is
. So

0.6603 = 66.03% probability that it will be sent with the ABC Speedy Delivery Company and arrive on time.