The trick here is to recognize one or more factors common to each term. For example, 6x4 − 24x3 + 72x2 = x^2(6x^2 - 24x + 72), so x^2 is one common factor. Looking at (6x^2 - 24x + 72), you can easily see that 6 is a common factor, so now we have (6)(x^2)(x^2 - 4x + 12). These last 3 terms do not have a common factor, so the factoring process stops here:
(6)(x^2)(x^2 - 4x + 12)
If we have a triangle with sides a,b,c then
b-a < c < b+a
describes the restriction of the length of side c, given sides a and b. This is due to the triangle inequality theorem.
a = 6
b = 9
b-a < c < b+a
9-6 < c < 9+6
3 < c < 15
<h3>Answer: The third side is between 3 cm and 15 cm. The third side cannot equal 3 cm, and it also cannot equal 15 cm. </h3>
Answer:
B
Step-by-step explanation:
GI is made up of the segments GH and HI. In other words:
We know that GH is 2 and GI is 7. Substitute:
Subtract 2 from both sides:
So, our answer is B.
And we're done!
<u>Answer:</u>
The answer is B --> 
<u>How I got that:</u>
<u />
These are really easy, you're simply looking for numbers that you can factor down. Like here:
I took:
and saw that I could factor out 4 from the denominator:
and then I canceled out the common factor (4 because its on both sides):
And there ya go!
<em>~That's All Folks~</em>
<em>-Siascon</em>
Answer:
8.25x - 15 dollars
Step-by-step explanation:
Without paying for the company shirt, you would make 8.25 * x = $8.25x. Spending $15 can be modeled by the number -15 so including the company shirt, you would make $(8.25x - 15) per week.
