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:8,5 recirpoal is 5,8
Step-by-step explanation:
Answer:
85 minutes.
Step-by-step explanation:
T = Tuesday
M = Monday
T = M - 15, 70 = M - 15, M = 85 minutes.
Since she worked out 15 minutes less than monday on tuesday, you add 15 to 70, since thats what she did on tuesday.
Answer:
1444.4 m2
Step-by-step explanation:
Surface Area = 2 * 3.14 * (R*R + R*L) = 2 * 3.14 * (10*10+10*13) = 1444.4 m2
Note .. You can Derive this
"Surface Area = 2 * 3.14 * (R*R + R*L)"
Using Calculus by differentiating its Volume
V = 3.14 * R * R * L
Answer:
x=4
Step-by-step explanation:
Let he first piece be x the second be 3x and the very last one be 7x + 2
Add all the pieces together and you ought to get the length of the rope which is 46 ft
So your equation would be
x + 3x + 7x + 2 = 46
11x = 44
x = 44 / 11
x = 4
so the 3 pieces are 4 , 12 and 30ft
