Answer:
Options (C) and (F)
Step-by-step explanation:
Polynomial function is,
f(x) = x³ - x² - 5x - 3
Possible rational roots of the given function will be =
By putting x = -1
f(-1) = (-1)³ - (-1)² -5(-1) - 3
= -1 - 1 + 5 - 3
= 0
Therefore, x = -1 will a root of the given function.
Now we apply synthetic division to get the other roots,
-1 | 1 -1 -5 -3
<u> ↓ -1 2 3 </u>
1 -2 -3 0
Therefore, factored form of the polynomial will be (x + 1)(x² - 2x - 3).
Now we will find the roots of (x² -2x - 3).
x² - 2x - 3 = x² - 3x + x - 3
= x(x - 3) + 1(x - 3)
= (x + 1)(x - 3)
For roots of the function, f(x) = 0
(x + 1)(x - 3) = 0
x = -1, 3
Therefore, roots of the function are x = -1, 3
Options (C) and (F) are the answers.
Answer:
1000 * Bacteria after 18 hours,
Step-by-step explanation:
The condition given in the problem is that the number of bacterial triple after every 2 hours.
So, after 2 hours, total bacteria= 1000 * 3
So, after 4 hours, total bacteria= 1000 * 3 * 3
Therefore, the general format for the number of bacteria is 1000 * , where n is the number of times the bacteria has tripled.
In 18 hours, there are ties that the bacteria has tripled.
Therefore, the no. of bacteria after 9 hours= 1000 *
Answer:
This problem is acually really simple.
Step-by-step explanation:
all you have to do is replace the a with a 3. SO It would look like this:
g(x)=3f(x)
hope this helps :)
Hi I am good and that is the correct answer
Answer:
2 more quarts of oil is needed to fill
the engine to capacity
Step-by-step explanation:
Here, we want to calculate how many more quarts of oil is required to fill the engine to capacity
We have to convert the capacity to quarts
Mathematically, 1 gallon = 4 quarts
So 1 1/4 gallon will be 5/4 * 4 = 5 quarts
So the number of quarts needed to fill the engine to capacity will be 5 quarts - 3 quarts = 2 quarts