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MAXImum [283]
3 years ago
8

For all values of x,f(x) = x^2 + 3x and g(x) = x - 4Show that fg(x) = x^2 - 5x + 4​

Mathematics
1 answer:
Westkost [7]3 years ago
4 0

Answer:

f(g(x)) =  x² - 5x +4

Step-by-step explanation:

<u><em>Explanation</em></u>

Given that the functions

         f(x) = x² + 3 x   and g(x) = x-4

     f(g(x)) = f(x -4)   (∵ g(x) = x-4)

              = (x-4)² + 3(x-4)

              = x² - 2(4)x + 4² + 3x -12

             = x² - 8 x + 16 + 3x -12

             = x² - 5x +4

∴ f(g(x)) =  x² - 5x +4

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What is 82+(12 3+4)-10
Marina86 [1]
Is that 123 or 12 times 3
7 0
3 years ago
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Kim was walking down a rocky path.For 4 minutes, the elevation dropped steadily.All together it dropped 8 feet. What was the cha
fenix001 [56]

Answer:

2  \frac {{\textrm{feet}}}{{\textrm{minute}}}

Step-by-step explanation:

Kim was walking down a rocky path. For 4 minutes,  the elevation dropped steadily. All together it dropped 8 feet.

So, the change in elevation per minute for the 4 minutes is given by,

\frac {8}{4} \frac {{\textrm{feet}}}{{\textrm{minute}}}

= 2  \frac {{\textrm{feet}}}{{\textrm{minute}}}

(Answer)

8 0
3 years ago
Select the correct answer. robin randomly selects a number between 1 and 20. what is the probability that the number selected is
Vlada [557]

The probability that the number selected is the square of a natural number will be  \frac{1}{5}.

<h3 /><h3>What is probability?</h3>

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.

Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

P is the probability

F(E) is the favorable event

T(E)is the total event

The probability is found as;

\rm P = \frac{F(E)}{T(E)} \\\\ \rm P = \frac{4}{20)} \\\\ \rm P = \frac{1}{5}

Hence the probability that the number selected is the square of a natural number will be  \frac{1}{5}.

To learn more about the probability link is given below.

brainly.com/question/795909

8 0
2 years ago
PLEASE HELP ASAP !!!
BartSMP [9]
You know that a straight line has an angle of 180 degrees; 

48+x+x=180 <-- since they are all on the same time
48+2x=180 
2x=180-48 
2x=132
x=132/2
x=66

Therefore, the x value is 66 degree. 

Hope I helped :) 
8 0
3 years ago
I need help quickly. I think it's B or D.
Ludmilka [50]

personally id say c cuz the one on the right makes it have no trend, and also because if it was a negative trend there should only have been one answer on it really.

5 0
3 years ago
Read 2 more answers
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