Answer: B. Shifts right 5
Explanation:
When the number after the variable is in the parentheses, the transformation will be opposite of the sign. In this problem, the sign for 5 is negative so you would be going right 5 units because right is positive so that would be the opposite of the sign.
You can do synthetic division twice immediately (or once if you know how to handle x^2 - 25 all at once. I'll use 2 divisions. x^2 - 25 is (x + 5)(x - 5). Both of them are zeros to the given equation which means that x = +5 and
x = - 5 are both zeros of the given quartic.
5 1 -2 -33 50 200
5 15 -90 -200
=====================================
1 3 -18 -40 0
What you have now is x^3 + 3x^2 - 18x - 40 = 0
Do another synthetic division
-5 1 3 -18 -40
-5 10 40
============================
1 -2 -8 0
The result is
x^2 - 2x - 8 = 0 which factors.
(x + 2)(x - 4) = 0
Answer
The factors are (x + 2)(x - 4)(x + 5)(x - 5) = 0
Long division
x^2 + 0 + 25 ||x^4 - 2x^3 - 33x^2 + 50x + 200 ||x^2 - 2x - 8
x^4 + 0 + 25x^2
==================
-2x^3 -8x^2 + 50x
-2x^3 + 0 + 50x
=================
-8x^2 + 0 +200
-8x^2 + 0 + 200
==================
0
Answer: 648 pull-ups
Step-by-step explanation:
Given
Max take 5.5 minutes to do 60 Pull-ups with a break in between
Similarly, it took 8 minutes for 120 pull-ups
Suppose the time taken for a single pull-up and break is x and y minutes
So, it can be written
Now, suppose max perform at this rate, and the total pull-ups are P in 30 minutes
You didn't put your label and also the answer would be 299 36+36+68+68+91=299
Try this website called wolfram Alpha. It's an easy-to-use but advanced calculator. It gives you lots of information for every query. Here's a direct link to the answer to your question on Wolfram Alpha: http://www.wolframalpha.com/input/?i=h(x)%3D(x%2B2)-1. Hope this helps!
