Answer:
C
Step-by-step explanation:
Given f(x) then f(x + a) represents a horizontal translation of f(x)
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the right of a units
Thus
g(x) = (x - 4)² represents a horizontal translation to the right of f(x) by 4 units.
If a polynomial "contains", in a multiplicative sense, a factor
, then the polynomial has a zero at
.
So, you polynomial must contain at least the following:

If you multiply them all, you get

Now, if you want the polynomial to be zero only and exactly at the four points you've given, you can choose every polynomial that is a multiple (numerically speaking) of this one. For example, you can multiply it by 2, 3, or -14.
If you want the polynomial to be zero at least at the four points you've given, you can multiply the given polynomial by every other function.
Answer:
12,662 books
Step-by-step explanation:
Total number of books = 75,972
No. of science books = ⅓ of 75,972 = ⅓*75,972 = 25,324 books.
No. of business books = 75% of the remaining books = 75% of (75,972 - 25,324)
= 
No. of business books = 37,986
No. of maths books in the math section = 75,972 - (25,324 + 37,986)
= 75,972 - 63,310
= 12,662 books
Answer:

Step-by-step explanation:
Hello!
We can use the difference of square method.
<h2>Difference Of Squares (DOS)</h2>
The formula for the DOS is 
It is a simple way to factor polynomials.
The criteria:
- Has to begin and end with a perfect square
- The operation has to be subtraction
<h3>Factor:</h3>
Begins with a perfect square (x² * x²) and ends with a perfect square (4 * 4)
Warning! Watch out, there may be another DOS!
is another DOS
The x² + 4 is not a DOS because the operation is addition.
The final factored form is 
Answer:
0.9562
Step-by-step explanation:
Binomial probability is mathematically expressed as:

Given that p=0.18, n=5 , is calculated as:

Hence, the probability of no more than 2 successes in 5 trials is 0.9562