Combine 5x and x and that makes 6x+3
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
The equivalent to (1/3)^3 is
(1/3) x (1/3) x (1/3) = .<span>037
</span>
The answer is 1/27 or 0.37.
Answer:
x² - 10x + 29
Step-by-step explanation:
The standard form of a quadratic is , ax² + bx + c (a ≠ 0 )
Given
(x - 5)² + 4 ← expand factor using FOIL
= x² - 10x + 25 + 4
= x² - 10x + 29 ← in standard form
Answer:
Average speed = 30.2 miles / .4 hours =
75.5 mph
Step-by-step explanation:
