Step-by-step explanation:
f(x)=2x²+3x+9
g(x) = - 3x + 10
In order to find (f⋅g)(1) first find (f⋅g)(x)
To find (f⋅g)(x) substitute g(x) into f(x) , that's for every x in f (x) replace it by g (x)
We have
(f⋅g)(x) = 2( - 3x + 10)² + 3(- 3x + 10) + 9
Expand
(f⋅g)(x) = 2( 9x² - 60x + 100) - 9x + 30 + 9
= 18x² - 120x + 200 - 9x + 30 + 9
Group like terms
(f⋅g)(x) = 18x² - 120x - 9x + 200 + 30 + 9
(f⋅g)(x) = 18x² - 129x + 239
To find (f⋅g)(1) substitute 1 into (f⋅g)(x)
That's
(f⋅g)(1) = 18(1)² - 129(1) + 239
= 18 - 129 + 239
We have the final answer as
<h3>(f⋅g)(1) = 128</h3>
Hope this helps you
Answer:
2/5
Step-by-step explanation:
Multiply all the fraction
Answer:
2/11
Step-by-step explanation:
Probability is the LIKELIHOOD of an event.
According to the word problem, there are 11 people in total and 2 of them are being selected.
The probability of them being the 2 oldest people is 2 in 11, or 2/11.
The answer to your question is option b
Answer:
21 1/3
Step-by-step explanation:
20 ÷ 15/16=
20/1 ÷ 15/16=
20/1*16/15=
4/1*16/3=
64/3=
21 1/3
