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
Store should sell about 31 bicycle for average price of $135 each bicycle.
Step-by-step explanation:
- To find bike we need Algebra to solve the equation.
- when x = 1 , Y = 135 *x
- When x 2 , Y = 135 *2
- Formula you could apply to go for break even y = 135*x
- Bicycle store pays about $4200
- Algebra used for every business and working to make easy task.
- It takes about 31 bicycle a month to get into break even.
- Every store needs break even to not incur lost.
- Break even point is equilibrium between income and expenses.
22 divided by 2 times 75 is 825
Answer:
x = - 
Step-by-step explanation:
Given
(x - 9) = - 11
Multiply both sides by 3 to clear the fraction
2(x - 9) = - 33 ← distribute left side
2x - 18 = - 33 ( add 18 to both sides )
2x = - 15 ( divide both sides by 2 )
x = -
Use the formula 
for quadratic trinomial. Then you can form from a quadratic trinomial perfect square:
.
From the last given step you have that
.
Since 5·16=80, you can substitute the previous expression for perfect square into function expression and get:
.
This means, when x=-4, f(-4)=-80 and vertex has coordinates (-4,-80).
Answer: correct choice is C.
