Answer:
Step-by-step explanation:
There is nothing you could put into the brackets that will give you a negative answer. We should just graph this to see if that is true or not. Graphs are the last word in this kind of question.
See below.
The graph is the first part: y = |5x +7|
It is the red graph.
The second line of interest is y = - 7. It is blue.
Do you see that these two graphs do not intersect?
Because they don't, there is no solution. Any marker will accept this explanation and the graph. You should be fine with just this much.
Factoring the top and bottom of the fraction we get
(x + 4)(x - 3
---------------
(x + 4) (x - 4)
The salary before the increase was $48000.
Answer:
Length = 6
Width = 3/2
Step-by-step explanation:
You can choose to go about this question in lots of different ways, but this is how i did it. I drew a diagram of the rectangle and labeled it: the height/length as x and the width as x/4 (they told us the width is a quarter of the length). They also told us that the area is 9 square units.
We know that length x width = area
So: length x width = 9
I'm gonna bring in the variables i used in the diagram, so:
x 
= 9
Keep solving:
= 9
Times both sides by 4:
= 36
Square root both sides for x:
<em>* remember that when you square root, its possible to have a positive or negative version of the value</em>
x = ±6
Since its impossible to have a negative length, we can say that x = 6.
X was just the variable we gave to the length of the rectangle, so now we know the length is 6. If you needed to find width as well, you can do 6/4, which simplifies to 3/2.
To double-check
- 6 x 3/2 should equal 9, since length x width = area
which it is, so we're correct!
Hope that helped : )
