(2y² + 7y + 11) - (8y² - 5y + 7) you can distribute the negative sign to the second expression and then combine the like terms
new expression: (2y² + 7y + 11) (-8y² + 5y - 7)
2y² and -8y² equals -6y²
7y and 5y equals 12y
11 and -7 equals 4
The answer is -6y² + 12y + 4
Answer: 5 ft 3 in I believe.
Answer:
1/4 miles.
Step-by-step explanation:
If I want to walk from my house to a clothing store 3/4 of a mile away, this implies that the location is 0.75 miles from my home.
Now, if after walking 1/2 mile I decide to stop, I will have traveled 0.5 miles in total. In this way, when I get back on my way, I will have to travel 0.25 miles to reach my destination (0.75 - 0.50).
Therefore, since 1 divided by 4 equals 0.25, I have to walk 1/4 mile to reach my destination.
Answer:
6000 ft
Step-by-step explanation:
Let length of rectangular field=x
Breadth of rectangular field=y
Area of rectangular field=
square ft
Area of rectangular field=
Area of rectangular field=
Fencing used ,P(x)=
Substitute the value of y
P(x)=
Differentiate w.r.t x
Using formula:
It is always positive because length is always positive.
Again differentiate w.r.t x
Substitute x=1500
Hence, fencing is minimum at x=1 500
Substitute x=1 500
Length of rectangular field=1500 ft
Breadth of rectangular field=1000 ft
Substitute the values
Shortest length of fence used=
Hence, the shortest length of fence that the rancher can used=6000 ft
Answer:
decreasing
Step-by-step explanation:
"Increasing" means the graph is going up from left to right.
"Decreasing" means the graph is going down from left to right.
"Constant" means the graph is "flat" (this is not a technical term) it is keeping the same y value, neither going up nor going down.
What can be super confusing is the
(2.2, 5) mentioned in the question. THIS IS NOT A POINT. It is an interval and points and intervals unfortunately have the same notation sometimes.
An "interval" is a section of the graph, here: FROM 2.2 not including 2.2, TO 5 not including 5. These are like the address on the x-axis. If you look at your graph at 2.2 on the x-axis, it is a peak(relative maximum) and it goes down to the right to where x is 5 where it bottoms out (relative minimum) So on that interval, from 2.2 to 5, the graph is DECREASING.
