Answer:
Step-by-step explanation:
Look what happens if you do the multiplication of P(x):
P(x) = x^3 - 9x
This is a variation of the basic cubing function y = x^3.
The graph begins in QIII and ends in QI; in other words, if you go left the graph drops; if you go right, the graph rises (without limit, in both cases).
Answer:

Step-by-step explanation:
We are given the following in the question:
A(1, 1), B(2, 4), C(4, 2)
i) Slope of AB

Thus, slope of AB is 3.
ii) Point slope form
The point slope form of a line can be written as:

The point intercept form of line can be written as:

The line is parallel to AB and contains point C(4, 2). Since line p is parallel to AB, line p will have the same slope as line AB
Putting values, we get,

which is the required slope intercept equation of line p.
Answer:
Approximately 6.4
Step-by-step explanation:
We can use the pythagorean thereom here, that tells us (a^2)+(b^2)=c^2. C is the hypotenuse, the side opposite from the right angle, while a and b are the other sides. We can insert 5 and 4 as a and b, and solve for c
:(5^2)+(4^2)=c^2
:25+16=c^2
:41=c^2
:sqrt(41)=6.4=c (We square rooted both sides. 6.4 is only rounded to the nearest hundredths place.) Hope this helps!
Answer:
B= 
Step-by-step explanation:
If you noticed, A=
BH is the formula for finding the area for a triangle. Your goal is to get B by it's self. Your first step will be to clear of the fraction first, so you will multiply both sides by 2. 2(A)=2(
BH). On the left, you have 2×A= On the right side, you have 2(
BH), but since you have a number in the equation, you will only use 2×
. To solve 2×
, you will cnacel out both 2's and you have 1. 1×BH will still equal BH, so you are now left will B×H.
(Your new equation looks like this by the way). 2A=BH
Since you need to get B by its self, the way to clear the H away from the B is by dividing. You will now divide the B and H aswell as 2A and H. (It will look like this)
. (Again when you have the same number or letter, you cross it out. When you divide, you won't change anything on the left side, and all you have to do on the right id to cross out the H next to the B and cross out the H on the bottom of the equation). You should be left with
= B. Now you can turn it around for your final answer. B=
.
Please let me know if i helped, how I did, and if you have any questions.