Answer:
C
Step-by-step explanation:
The answer to this question is the letter "A" which is $20.70. The solution is shown below:
If the guy will solely use the car, his expenses for the gasoline per month is:
Guy alone = $ 2.76/gallon * 15 gallons = $ 41.4
If the guy will let his two officemates ride the car and contribute each quarter of the of a tank:
First officemate = 15/4 * $2.76 = $ 10.35
Second officemate = 15/4 * $2.76 = $10.35
The guy total savings is shown below:
Total savings = $41.4 - $10.35 -$10.35
Total savings = $20.70
The answer is the letter "A".
Answer:
f(x) =
- 2x³ - 11x² + 12x + 36
Step-by-step explanation:
given that x = a and x = b are the roots of a polynomial then
(x - a) and (x - b) are it's factors and the polynomial is the product of the factors
here x = -2 ( repeated ) and x = 3 (repeated), hence the factors are
(x + 2)² and (x - 3)² → the square denotes a repeated root
f(x) = (x + 2)²(x - 3)² ← expand factors and simplify
= (x² + 4x + 4)(x² - 6x +9)
=
- 2x³ - 11x² + 12x + 36 ← is a possible equation
![\bf \cfrac{7x-14}{x-2}\implies \stackrel{common~factoring}{\cfrac{7(x-2)}{x-2}}\implies 7](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7B7x-14%7D%7Bx-2%7D%5Cimplies%20%5Cstackrel%7Bcommon~factoring%7D%7B%5Ccfrac%7B7%28x-2%29%7D%7Bx-2%7D%7D%5Cimplies%207)
well, the only exclusion I can see is that x ≠ 2, because if "x" ever becomes 2, the denominator goes to 0 and the fraction goes poof.
Answer:
Answer: <u> </u><u> </u><u>3</u><u> </u><u>+</u><u> </u><u>1</u><u>0</u><u>i</u><u> </u>
Step-by-step explanation:
![= { \rm{(8 + 7i) - (5 - 3i)}} \\ \\ = { \rm{(8 - 5) + (7 + 3)i}} \\ \\ { = \rm{3 + 10i}}](https://tex.z-dn.net/?f=%20%3D%20%7B%20%5Crm%7B%288%20%2B%207i%29%20-%20%285%20-%203i%29%7D%7D%20%5C%5C%20%20%5C%5C%20%20%3D%20%7B%20%5Crm%7B%288%20-%205%29%20%2B%20%287%20%2B%203%29i%7D%7D%20%5C%5C%20%20%5C%5C%20%7B%20%3D%20%20%5Crm%7B3%20%2B%2010i%7D%7D)