Use the difference of squares factorization - that for any numbers a and b, (a-b)(a+b)=a^2-b^2.
We have:
(x^2+1)(x^2-1)=x^4-1
In addition:
(x-1)(x+1)=x^2-1, so we have:
(x^2+1)(x+1)(x-1)
As our complete factorization.
Answer:
-5x-12
Step-by-step explanation:
Given f(x) = -5x+3, to get f(x+3), we are going to replace x in f(x) with x+3 as shown;
f(x) = -5x+3
f(x+3) = -5(x+3)+3
f(x+3) = -5x-15+3
f(x+3) = -5x-12
Hence the function f(x+3) is -5x-12
Answer:
92.75 miles per 7 days
Step-by-step explanation:
13.25 mi/day times 7 days works out to 92.75 miles per 7 days.
Answer:
p(chocolate chip) = 2/7
p(oatmeal) = 7/27
Step-by-step explanation:
probability = favorable outcomes/total outcomes
First, add up all the cookies in the bag.
8 + 6 + 7 + 7 = 28
Next find the probability of selecting a chocolate chip cookie. Since there are 8 chocolate chip cookies and 28 cookies in the bag, create a fraction.
p(chocolate chip) = 8/28
reduce by 4
p(chocolate chip) = 2/7
Now that the cookie was eaten that will reduce the number of chocolate chip cookies to 7 and the overall number of cookies to 27.
There are 7 oatmeal cookies and 27 total cookies, so create the fraction.
p(oatmeal) = 7/27
Answer:
Step-by-step explanation:
This is 1.42 or if u want a perfect rounded answer it would be 1.43 for each nose if the package was 7 dollars
