ANSWER
The solution is where the two graphs intersect, which is

EXPLANATION
The given system of equations are

and

We need to graph the two equations.
Let us graph

first.
We need at least two points.
You can choose any appropriate value for x and solve for y. Choosing zero makes our working easier. So let us plot the intercepts.
When




So this gives us the ordered pair,

When

we get,




This also gives the ordered pair

We plot these two points and draw a straight line through them to obtain the blue graph in the attachment.
For the second line

We again find the intercepts and plot them.
When



This gives the ordered pair

Also, when

then we have,



Then we again have the ordered pair,

We plot these two points on the same graph sheet to obtain the red graph above.
The intersection of the two lines is

You will get good grades so don't worry much.
She uses four pounds because 4/5 of five pounds is four.
Answer:
TU = 6
Step-by-step explanation:
Using the Segment Addition Postulate, we know that TU + UV = TV, and since UV = 6 and TV = 12, we know that TU + 6 = 12, therefore, TU = 6.
Given that the number is x,
10% increase will give us a new number of:
110/100*x
=1.1x
10% decrease will give us a new number of:
90/100*1.1x
=0.99x
This implies the new number is less than the original number
Answer: both the left and right sides go to +∞
<u>Step-by-step explanation:</u>
End behavior can be determined by two things:
- Sign of the leading coefficient
- Degree of the function
<u>Sign of leading coefficient</u>:
positive: right side goes to +∞
negative: right side goes to -∞
⇒ Leading coefficient of this function is 3 so the right side goes to +∞
<u>Degree (exponent of leading coefficient)</u>:
even: both the left and right sides point in the SAME direction
odd: the left and right sides point in OPPOSITE directions
⇒ Degree of this function is 4 so the left side will point in the same direction as the right side.