Remember that you can always multiply or divide BOTH the numerator and denominator
of the fraction by anything you want to. You just have to do exactly the same to both of
them.
The way to simplify a fraction is to divide both the numerator and denominator by their
greatest common factor.
Do you see all of those 'x's on the top and bottom ? The top and bottom can
both be divided by x-cubed.
<u>Numerator:</u>
Divide (-4³) by x³, and you have (-4) left.
<u>Denominator:</u>
Divide (x³ - 2x⁴) by x³, and you have (1 - 2x) left.
So, the simplified fraction is [ -4 / (1 - 2x) ].
That's a perfectly good answer, but you could make it look a little prettier
if you multiply the top and bottom both by -1 . Then it would be
4 / (2x - 1) .
Either one is fine.
Answer:
fiscal year
Step-by-step explanation:
The fiscal year is the accounting period for the federal government which begins on October 1 and ends on September 30. The fiscal year is designated by the calendar year in which it ends; for example, fiscal year 2013 begins on October 1, 2012 and ends on September 30, 2013.
The range of the function shown on the graph (see attachment) is: D. -9 ≤ y ≤ 8.
<h3>What is a range?</h3>
A range can be defined as the set of all real numbers that connects with the elements of a domain. This ultimately implies that, a range refers to the set of all possible output numerical values, which are shown on the y-axis of a graph.
<h3>How to identify the range of this graph?</h3>
The vertical extent of a graph represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
By critically observing the graph shown in the image attached below, we can reasonably infer and logically deduce the following:
Range = [-9, 8]
In interval notation, the range of this graph can be rewritten as -9 ≤ y ≤ 8.
Read more on range here: brainly.com/question/16610662
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<u>Complete Question:</u>
Select the correct answer.
A graph plots two points at (negative 7, 8) and (negative 2, negative 9) on the x y coordinate plane. A diagonal curve connects both points.
What is the range of the function shown on the graph above?
A. -7≤y≤-2
B.-8≤y≤8
C.-2≤y≤-7
D. -9≤y≤8
Hello!
Ok so ideally we would like to see this in y=mx+b form. But it will take some algebreic skills to ninja our way through this.
I'll show my steps so you can follow,
3+4x = 2y - 9 (original equation)
Next we just add 9 to both sides,
12 + 4x = 2y, now we can divide both sides by 2,
y=2x+6 as our final equation. This is in y=mx+b form, thus the slope of our line is 2 because the 2 is sitting in the m space of the equation. If you still dont understand linear stuff, I'd google slope-intercept form
Hope this helped!
