Yes; you are correct.
___________________________________________________
The correct answer is:
___________________________________________________
Answer choice: [C]: " x³ − 9x² + 23x <span>− 12 " .
___________________________________________________
Note: (a </span>− b) (c − d + e) = ac − ad + ae − bc + bd − be ;
___________________________________________________
(x − 4) (x² <span>− 5x + 3) =
x * x</span>² = x³ <span>−
x * 5x = 5x</span>² +
x * 3 = 3x <span>−
4 * x</span>² = 4x² <span>−
-4 * 5x = -20x +
-4 * 3 = -12;
________________________________________
</span> (x − 4) (x² − 5x + 3) =
x³ − 5x² + 3x −4x² − (-20x) + (-12) ;
= x³ − 5x² + 3x −4x² + 20x − 12 ;
= x³ − 5x² − 4x² + 3x + 20x − 12 ;
= x³ − 9x² + 23x − 12 ; which is:
__________________________________________________
Answer choice: [C]: " x³ − 9x² + 23x − 12 " .
__________________________________________________
The name of period that has the digits 913 is hundreds.<span>
Because Period is considered to a group of places of the digits.</span>
In this case, the given number is 913 and it is the group of hundred because 900 is the highest number it contains.
We can also write 913 as
913 = 900 + 10 + 3
It means,
<span>9 hundreds + 10 tens + 3 ones</span>
Answer:
B. f(x) = 3/(x^2 +2x +1)
E. f(x) = 5/(3+x)
Step-by-step explanation:
The above functions have denominators that are zero at one point. For B, that point is x=-1; for E, that point is x=-3. When the denominator is zero, the function is undefined, so the corresponding x-value must be excluded from the domain.
__
As written, choice D also qualifies. This is because the function written in the answer list here is ...
It will be undefined for x=0.
_____
<em>Comment on writing rational functions</em>
When the division symbol (/ or ÷) is used with a denominator that is a product or sum, that product or sum must be enclosed in parentheses. When the expression is typeset, the division bar acts as a grouping symbol. When the expression is written in text, a grouping symbol, such as parentheses, must be added.
Answer:
Olga will use 10 eggs, while Sonja will use 8, thus Olga will use more eggs.
Step-by-step explanation:
Given that Sonja uses 8 of the 12 eggs in her dozen eggs to make a breakfast casserole, while Olga uses 5/6 of a dozen eggs to make scrambled eggs, the following calculations must be performed to determine who uses more eggs:
Sonja = 8/12 = 0.666 x 12 = 8
Olga = 5/6 = 0.83333 x 12 = 10
Therefore, Olga will use 10 eggs, while Sonja will use 8, thus Olga will use more eggs.
