Answer:
Th Range is [0, -∞)
Step-by-step explanation:
f(x) = 2 - x
w(x) = x - 2
We want to find the range of (f * w)(x).
First, we need to find (f * w)(x), which is the multiplication of the function f(x) and the function w(x). Lets use algebra to find (f * w)(x):
This is a quadratic function (U shaped), or a parabola. The graph is attached.
The range is the set of y-values for which the function is defined.
We see from the graph that the parabola is upside down and the highest value is y = 0 and lowest goes towards negative infinity. So the range is from 0 to negative infinity. Or,
0 < y < ∞
In interval notation, that would be:
[0, -∞)
Okay, so to get the inverse function, you need to isolate the x first.
You can do this by multiplying by 4. Then, -2 to get just 3x and finally divide by 3 so that you just have x on its own. If we write this all out, we get (4x-2)/3.
Next, we need to substitute 24 into x's place. So, we have ((4x24)-2)/3. Then, we can just simplify. 4x24=96. 96-2=94. 94/3=32.6.
Hope this helps :)
Answer:
3 3/5
Step-by-step explanation:
You can see that Steven's cat drank 2/5, Then it drank 3/5. If you add those together, then you get 1. Then it drank 1/2 a cup of milk 4 times, that would equal 2. Then, she drank one more 3/5 cup of milk. Then you add all the whole numbers, which equals 3 then you have that 3/5 left over so its 3 3/5
Answer:
c < -27
Step-by-step explanation:
-7>20+c
Subtract 20 from both sides
-7 - 20 > 20 + c -20
Simplifying
-27 > c
or
c < -27
