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tankabanditka [31]
3 years ago
8

F(x) = 3x g(x) = x2 – 5x - 9 Find (fºg)(x).

Mathematics
1 answer:
Eddi Din [679]3 years ago
8 0

Answer:

\boxed{(f.g)(x) = 3 {x}^{3}  - 15 {x}^{2}  - 27x}

Given:

f(x) =  x + 2 \\  \\ g(x) =  3x + 5

To Find:

(f.g)(x) = f(x) \times g(x)

Step-by-step explanation:

=  > f(x) \times g(x) = (3x)( {x}^{2}  - 5x - 9) \\  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = (3x \times  {x}^{2} ) - (3x \times 5x) - (3x \times 9)\\  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 3 {x}^{3}  - 15 {x}^{2}  - 27x

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16th term in the geometric sequence 1024, -512, 256, ....
tresset_1 [31]

Answer:-1/32

Step-by-step explanation:

First term=a=1024

Common ratio=r=-512/1024

r=-1/2

Using them formula

Tn=a x r^(n-1)

T16=1024 x (-1/2)^(16-1)

T16=1024 x (-1/2)^15

T16=1024 x -1/32768

T16=-1024/32768

T16=-1/32

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3 years ago
In a school there are 1000 boys and 800 girls. Calculate the percentage of boys and girls
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Answer:

55.55%= boys & 44.44% = girl

Step-by-step explanation:

1000/(1000+800)=1000/1800=.5555 or 55.55% are boys

800/(1000+800)=800/1800=.4444 or 44.44% are girls.

Therefore, 55,55% are boys and 44.44% are girls.

8 0
2 years ago
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Elan Coil [88]

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Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Madam Siti bought the same lengths of red and yellow ribbons. After she used 836 cm of the red ribbon, the length of the yellow
Yuliya22 [10]

Answer: 1045 cm of red ribbon and 1045 cm of yellow ribbon

<u>Step-by-step explanation:</u>

Let R represent the amount red ribbon and Y represent the amouont of yellow ribbon.

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  • after used 286 of red, yellow is 5 times the remaining red; 5(R - 836) = Y

Use substitution method to solve:

5(R - 836) = R

5R - 4180 = R   <em>distributed 5 on the left side</em>

4R - 4180 = 0   <em>subtracted R from both sides</em>

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R = 1045         <em>divided both sides by 4</em>


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3 years ago
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Samuel is x year old and
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Answer:

Samuel : x

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8 0
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