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otez555 [7]
3 years ago
12

If f(3x − 1) = 6x − 1, find f(x) and f(0)

Mathematics
1 answer:
klio [65]3 years ago
5 0

f(3x - 1) = 6x - 1

Rewrite 6x - 1 as a function of 3x - 1:

6x - 1 = 6x - 2 + 1 = 2(3x - 1) + 1

That is,

f(3x - 1) = 2(3x - 1) + 1

which means

f(x) = 2x + 1

and so

f(0) = 2*0 + 1 = 1

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A set of N = 20 exam scores has a mean of m = 50. The instructor discovered that an error was made grading one exam, so 20 point
tatuchka [14]

Answer:

The new mean for the exam scores is 51

Step-by-step explanation:

the mean can be calculated using the formula

mean of scores = \frac{Sum total    of scores}{Number of students}

before the 20 points was added, the mean of the score was = 50.

Inserting this into the formula, we have:

50 = \frac{Sum total}{20 students}

from this, we can compute the sum total of the scores as

sum total = 50 × 20 = 1000

when the extra 20 marks is added, the sum of the entire scores will be changed to 1000 + 20 = 1020.

Hence the new mean will be computed as (New Sum total of scores / Number of students)

= \frac{1020}{20} = 51.

∴ The new mean of the scores is = 51

8 0
3 years ago
If 60 square feet of flooring costs $287.00 how much does one square foot cost?
Lapatulllka [165]

Answer: About 5 bucks

Step-by-step explanation: Divide 287 by 60 which would equal 4.78333333333

5 0
3 years ago
I need help with this graph.
tatuchka [14]
Two parallel lines never intersect, therefore they will never have a solution.

One line could be x=6 and the other could be x=2

Hope this helps :)
3 0
3 years ago
HELP ME IM STUCK ANSWER IT QUICK
fiasKO [112]

Answer:

red = 28 apples

green = 13 apples

equations:

r + g = 41

r = g + 15

Step-by-step explanation:

r = number of red

g = number of green

r = g + 15 (the number of red apples is 15 more than the number of green apples)

r + g = 41

Substitute the firs equation into the second and solve for a numerical value of g

(g + 15) + g = 41

2g + 15 = 41

2g = 26

g = 13

Now solve for a numerical value of r

r = g + 15

r = 13 + 15

r = 28

checking the math:

r + g = 41

28 + 13 = 41

Please lmk if you have any questions.

6 0
2 years ago
Solve for 2-2n=3n+17
muminat
2 - 2n = 3n + 17 > -2n = 3n + 15 > -5n = 15 > n = -3
6 0
3 years ago
Read 2 more answers
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