Answer:
Correct factorization: (x+2)(x+3)(x-3)
Step-by-step explanation:
The given 4 term polynomial is:
Part a) Jay's Mistake:
Factorization of Jay was:
Though this expression will simplify to original given expression but this is not the complete and final factorization. The second factor which is x² - 9 can be factored further, which is shown in the next part.
Part b) Complete Factorization
In order to factor a 4 term expression of the type given in the question, the first step is to take the common from similar terms. You might need to re-arrange the terms before taking common in some case. Taking commons from the given expression, we get:
Jay stopped at this step. At this step you need to look if any part of the expression can be factored further. Luckily, in this case x² - 9 can be factored further as its a difference of perfect squares:
x² - 9 = x² - (3)² = (x + 3)(x - 3)
Using these factors of x² - 9 in previous expression, we get:
This is the final factored form of the given 4 term expression as it can not be factored further in any way.
Set up a proportion to answer this question.
3.5/ 5 = x/ 7
Cross multiply
5x = 24.5
Now divide by 5 on both sides.
x = 4.9
Your answer should be: The enlarged photograph is 4.9 in wide.
Answer:
The perimeter of rectangle is
Step-by-step explanation:
Let
x------> the length of rectangle
y----> the width of rectangle
we know that
The area of the constructed figure is equal to
so
-----> equation A
-----> equation B
substitute equation B in equation A
using a graphing calculator to resolve the quadratic equation
the solution is
Find the value of x
Find the perimeter of rectangle
The perimeter of rectangle is equal to
Answer:
$182.84
Step-by-step explanation:
169.30*0.08=13.54
13.54+169.30=
$182.84
Hope this helps!!