Answer:
= 2x²( 2x+ 1) + 2x
or
= 2x (2x² + x + 1)
Step-by-step explanation:
Given in the question two functions,
f ( x ) = 9x³ + 2x² − 5x + 4
g ( x ) = 5x³ − 7 x + 4
To find,
f ( x ) − g ( x )
Substitute each functions
= 9x³ + 2x² − 5x + 4 - ( 5x³ − 7 x + 4 )
Remove parentheses
= 9x³ + 2x² − 5x + 4 - 5x³ + 7 x - 4
Combine like terms and add them up
= 4x³ + 2x² + 2x
Factorise
= 2x²( 2x+ 1) + 2x
or
= 2x (2x² + x + 1)
So the final answer in factored form is 2x²( 2x+ 1) + 2x or 2x (2x² + x + 1)
This can't be further factorise because answer will be in complex numbers
Answer:
20m
Step-by-step explanation:
4 x 5 = 20
therefore the 5 benches are 20m long
The answer is X.
In order for it to be a function, there should be only one y-value for every x-value. Graph x is the only one that obeys this rule, therefore it is the answer
Answer:
b = (5±√17)/4 ≈ {0.2192, 2.2808}
Step-by-step explanation:
The average on the interval is found from the integral ...
We want the value of this integral to be 5, so we want to find b such that ...
5 = -2b^2 +5b +4
2b^2 -5b +1 = 0
b^2 -5/2b = -1/2
b^2 -5/2b +25/16 = -1/2 +25/16
(b -5/4)^2 = 17/16
b = (5±√17)/4
The average value of f(x) is 5 on the intervals ...
[0, (5-√17)/4] and [0, (5+√17)/4]
Answer:
-10 + 6
Step-by-step explanation:
I multiplied both sides by two, if you want to answer it fully, its -10 + 6 which is -4
