I added three non-unit fractions together to make a whole. What three fractions could that be?
1 answer:
Answer:
For example
Step-by-step explanation:
A non-unit fraction is a fraction of which the numerator is not equal to one. Additionally, the question does not state to pick three different ones and thus you can pick any fraction that when multiplied by three (since you take three fractions together) add up to a whole number (I'm picking the whole number to be one here just to make it simple), where the numerator is not equal to one of course.
For example: , because 3·
=
= 1
Infinitely many solutions can be found: for example
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Answer:
The system of inequalities:
.......[1]
.......[2]
First graph each inequality:
The graph of x-y<-1 is dashed and is not included in the graph of the solution as shown below in the Figure 1.
The intercept for the graph is the point where the graph crosses the axis
x-intercept of a graph is the point where the graph crosses the x-axis i.e, plug in 0 for y and solve for x.
y-intercept of a graph is the point where the graph crosses the y -axis i.e,
plug in 0 for x and solve for y.
The related equation for the inequalities [2] is;
x-y =-1
for x =0,
0-y=-1
⇒ y =1
Then, the y-intercept is (0, 1).
To find the x-intercept;
Put y =0 in above related equation;
x-0 =-1
x=-1
Therefore, the x-intercept is (-1, 0)
Also,
The graph is solid and is included in the graph of the solution as shown below in Figure 2.
The related equation for the inequalities [1] is;
3x+5y =10
for x =0,
0+5y=10 or
5y=10 [divide by 5 both sides]
⇒ y =2
Then, the y-intercept is (0, 2).
To find the x-intercept;
Put y =0 in above related equation;
3x+ 0=10
3x= 10 [divide by 3 both sides ]
⇒ x =3.33..
Therefore, the x-intercept is (3.333, 0).
The solution of the system is the set of ordered pairs in the intersection of the graphs of and
.
So, the solution region is the darkest of the shaded area in the graph below in Figure-3.
Therefore, the only option D is correct.
