Step-by-step explanation:
inverse means that x becomes y and y becomes x.
the domain (x) of f(x) is -6 <= x <= 4
the range (y) of f(x) is 1 <= y <= 4
for the inverse now
the domain is 1 <= x <= 4
the range is -6 <= y <= 4
so you start the graph at x = 1 and y = -6.
that connects with x = 2 and y = 1.
and that connects straight vertically up with x = 2 and y = 4.
that connects with x= 3 and y = 0.
and that connects with x = 4 and y = -1.
and that connects straight vertically down with x = 4 and y = -4.
when you look at the graph this is just reversing x and y. what was input before (x) is now result (y), and what was result before is now input.
it also tells us that the inverse is not a function, because here a single x value has in some cases (x = 2 and x = 4) multiple different y values associated (y = 1..4 and y = -1..-4).
Answer:
Look at the explanation.
Step-by-step explanation:
Start y=-2x-3 at the Y -3 and X 0, then go up two and to the right one, like a staircase. For y=-x+3 start on Y 3 and X 0 and go down 1 x and 1 y like a downstair staircase with 1 unit down.
<h3>
Answer: 140625 </h3>
======================================================
Explanation:
Replace every copy of "w" with "x"
So the function we graph is y = (1500-2x)*x/2
I used GeoGebra to make the graph below. Note the scale on the xy axis. In this case, x is incrementing by 100 while y is incrementing by 50,000. The scale is important so you have a good viewing window. You don't have to have this scale exactly, but something close to it should do the trick. Without the proper scale, you probably won't see the curve at all. You may see a straight line instead, or it may appear completely blank.
You can use Desmos to make the graph. Just keep in mind the scale of course.
Once you have the graph set up, use the max feature of your graphing calculator or graphing software to locate the vertex point. In GeoGebra, the function I used is "Max". I typed in Max(f, 0, 800) where f is the function mentioned earlier. With Desmos, you simply need to click on the curve itself to have the max point show up. Click on the vertex point to have the coordinates listed.
The max point is located at A = (375, 140625) as shown in the diagram below. The x coordinate is the value of "w" that we replaced earlier. So a width of w = 375 feet corresponds to the max area of 140625 square feet.
Side note: later on in your math career, you have the option to use calculus to solve a problem like this. Though for now, we can rely on a graphing calculator to get the job done quickly.
Answer:
The correct option for this is C.) The mean and median age are more likely to be the same for the students in Math 1.
Step-by-step explanation:
i) The median age of the students is Math 1 is less than the median age of the students in Math 2.
This statement is NOT TRUE as the median age of students in Math 1 = median age of students in Math 2 = 19
ii) The mean and median age are most likely the same for both sets of data.
This statement is NOT TRUE. The mean age of students in Math 2 should be greater than mean age of students in Math 1.
iii) The mean and median age are more likely to be the same for the students in Math 1.
This statement is TRUE.
Answer:
B.x>-17
Step-by-step explanation:
1. Divide both sides by -4:
-4x/-4<68/-4
2.< will change to > since you are dividing by negative
3.your final answer will be x>-17
