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wel
3 years ago
5

Given f(x) = x^3 - 5x^2 + kx + 4 and that x-2 is a factor of f(x), what is the value of k?

Mathematics
2 answers:
Flauer [41]3 years ago
5 0
Answer : k = 4
please refer to the solution below :)

kotykmax [81]3 years ago
4 0
Either I’m being really dumb or this doesn’t work, x=2 because x-2 is a factor... the answer seems to be a lot larger than these
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a car travels 83 7/10 miles on 2 1/4 gallons of fuel. which is the best estimate of the car travels on one gallon of fuel
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3 years ago
You want to place a towel bar that is 24 1⁄4 centimeters long in the center of a door that is 70 1⁄3 centimeters wide. How far s
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3 0
3 years ago
PLEASE HELP. WILL GIVE BRAINLY
zepelin [54]
For these questions it is asking you to convert different measurements.
For the first part,
You must convert 10 kilometres to meters
Or 500 meters to kilometres
For this example I will covert 500 meters to kilometres
1000 meters = 1 kilometer
So 500 meters is 0.5 kilometres or half a kilometer
So on the first day you ride 10 kilometres and increase by 0.5 kilometres a day that means you increase by 1 kilometer every two days
The question is asking how many days until you get to 15 kilometres well
15-10=5
5x2 =10 so the answer to the first part is 10 days

In the second part you have to convert again I am going to convert kilometres to meters this time
We know 1km = 1000m
So you times the kilometer by 1000 to get the meters
0.75 x 1000 = 750
So you start with 7500 and increase by 750 every day
The question asks you the total after 3 days so we must find out each day and add them up
1st day: 7500
2nd day: 7500+750=8250
3rd day: 8250+750=9000
Now we must add them together so
7500+8250+9000=24750
So the answer to this part is 24750 meters

The last part is asking you to compare the programs so let’s start with training program A
20-10=10
10x2= 20
So A is 20 days

Training program B:
We know from previous questions that on the third day you do 9000 meters so we must carry on from there
4th day: 9000+750=9750
5th day: 9750 +750=10500
6th day: 10500 + 750=11250
7th day: 11250 + 750 = 12000
As you can see there is a pattern here on the 3rd day we are on 9000 and on the 7th day we are on 12000 that means it has increased by 3000 in 4 days this is because 750 x 4 = 3000
This means we know 18000 is the 15th day
We will carry on from here
16th day: 18000+750=18750
17th day: 18760+750=19500
18th day: 19500+750=20250
Here we have gone over 200000 which is 20 km on the 18th day meaning training program B is quicker
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