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:
There are two real roots because b²>4ac
in the equation, b²= 9² = 81.
4ac = 4×-4×-12= 72
D=20/3 or in decimal form d=6.666, it keeps going
Answer:
<h3>22.627417</h3>
Step-by-step explanation:
![\frac{32}{ \sqrt[8]{16} } \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B32%7D%7B%20%5Csqrt%5B8%5D%7B16%7D%20%7D%20%20%5C%5C%20)
Simplify
Method 2 :
By rationalizing the denominator
The answer is 6480.
Length: 6x3=18
Width: 4x3=12
Height:10x3=30
LengthxWidthxHeight=18x12x30=6480
