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leonid [27]
4 years ago
6

If f(x)=x^2 and g(x)=x-3, what is (f•g) (x)

Mathematics
2 answers:
lesantik [10]4 years ago
7 0

Answer:

Step-by-step explanation:

motikmotik4 years ago
4 0

Answer:

x² - 6x + 7

Step-by-step explanation:

To evaluate (f ○ g)(x), substitute x = g(x) into f(x), that is

f(g(x))

= f(x - 3)

= (x - 3)² - 2 ← expand factor using FOIL

= x² - 6x + 9 - 2

= x² - 6x + 7

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A password has to use the following format: LDDDDLLL, where L can be any of the upper case letters in the alphabet, and D can be
maw [93]

Answer:

Only vowels and odd numbers:

P = \frac{5}{26} *\frac{4}{25}* \frac{3}{24}* \frac{2}{23} *\frac{5}{10}* \frac{4}{9} *\frac{3}{8} *\frac{2}{7}

Spells math:

P = \frac{1}{26} *\frac{1}{25}* \frac{1}{24}* \frac{1}{23}

Step-by-step explanation:

We have four letters, so the probability that one letter is a vowel is 5/26 (we have 5 vowels in a total of 26 letters), then the second letter has a probability of 4/25 of being a vowel (1 vowel used), and so on (third letter being vowel = 3/24 and fourth letter being vowel = 2/23)

Then, for the digits, we do the same, one digits has 5/10 probability of being odd, then the second digit has 4/9, the third has 3/8 and the fourth has 2/7.

So the final probability would be:

P = \frac{5}{26} *\frac{4}{25}* \frac{3}{24}* \frac{2}{23} *\frac{5}{10}* \frac{4}{9} *\frac{3}{8} *\frac{2}{7}

To find the probability that the password spells the word “MATH", each letter has to be a specific letter, so the first letter has 1/26 probability, the second has 1/25, and so on:

P = \frac{1}{26} *\frac{1}{25}* \frac{1}{24}* \frac{1}{23}

6 0
3 years ago
Given the points A(-2, 5) and B(2, 3), find the coordinates of the point P on directed line segment AB that partitions AB in the
Studentka2010 [4]

Answer:

The answer to your question is:  Point (-1/2 , 17/4)

Step-by-step explanation:

Data

A(-2, 5)

B (2, 3)

ratio 3:5    r = 3/5

Formula

Process

x =  

x = -1/2                                                           y = 17/4Data

A(-2, 5)

B (2, 3)

ratio 3:5    r = 3/5

Formula

Process

x =  

x = -1/2                                                           y = 17/4Data

A(-2, 5)

B (2, 3)

ratio 3:5    r = 3/5

Formula

Process

x =  

x = -1/2                                                           y = 17/4Data

A(-2, 5)

B (2, 3)

ratio 3:5    r = 3/5

Formula

Process

x =  

x = -1/2                                                           y = 17/4

8 0
3 years ago
What is the constant rate of change of the table below? Please help
Len [333]

Answer:

4 m/s

Step-by-step explanation:

Well the constant rate of change can be defined as the slope or rise/run. This can be calculated using any two points. So I'll use (10, 40) and (20, 80). the seconds increased by 10 (run) and the meters increased by 40 (rise) This gives you the equation 40/10 which simplifies to 4. That is the constant rate of change

5 0
2 years ago
Given the system of equations One-third x minus two-thirds y = 7 and two-thirds x + 3 y = 11, which numbers can be multiplied by
asambeis [7]

Answer:

A  B & E

Step-by-step explanation:

Hope this helps

5 0
3 years ago
Read 2 more answers
What are the x-intercept and the y-intercept of the graph of 9x − 7y = −63?
vesna_86 [32]

Answer:

x-intercept: 7; y-intercept: −9.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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