ANSWER
Domain:
Range:
EXPLANATION
The domain refers to the values of x for which the function is defined.
The least value of x is 0.
Therefore the domain is
![[0,\infty]](https://tex.z-dn.net/?f=%5B0%2C%5Cinfty%5D)
.
or
The range refers to values of y for which x is defined.
The highest value on the y-axis that the graph can attained is 4. The function decreases without bound.
There the range is
![(- \infty,4]](https://tex.z-dn.net/?f=%28-%20%5Cinfty%2C4%5D%20)
.
or
Answer: |3-(-8)|
Step-by-step explanation:
Given: Paige lives 3 miles east of her school. Diego lives 8 miles west of the school.
From the picture , the number line represents the position of the houses of the two friends such that position of Paige is 3 but position of Diego is (-8) [since east and west are opposite directions]
We know that, Distance between any two points from A to B= B-A
Since distance is a positive quantity, thus
The distance between them = 
miles=11 miles
Answer:
Step-by-step explanation:
Question says that it uses 120 feet of fencing material to enclose three sides of the play area. This means there are 3 sides. Putting this into equation, we have something like this.
120 = L + 2W
Where
LW = area.
Again, in order to maximize the area with the given fencing, from the equation written above, then Width, w must be = 30 feet and length, l must be = 60
On substituting, we have
A = LW = (120 - 2W) W
From the first equation, making L the subject of the formula, we have this
L = 120 - 2W, which then we substituted above.
On simplification, we have
L = 120W -2W²
Differentiating, we have
A' = 120 - 4W = 0
Remember that W = 30
So therefore, L = 120 - 2(30) = 60 feet
Hope this is straightforward.
Answer:
2°
Step-by-step explanation:
Hello
I see you are very confused by this problem. However, there is an easy way to solve this one.
It has been proved that the sum of all angles in a rectangle is always 180°. Here is a way to prove it:
x y
_______A_________
/\
/ \
/ \
/ \
___/_______ \__
B C
we have two parellel lines xy and BC. It is true that:
xAy = 180°
xAB + BAC + CAy = xAy = 180
xAB = ABC
CAy= ACB
=> ........
I'll let you finish with your great intellect ^_^
HOPE YOU LEARN WITH JOY AND GOOD GRADE
