Answer:
Domain: All Real Numbers
Range: All Real Numbers
Step-by-step explanation:
So the domain of a function can be defined as an interval of x-values, which you can input into the function and get real numbers as an output. Since we have a cube root here, or more specifically an odd nth root, the domain is all real numbers, since cbrt(negative number) will just be a negative number since (negative number * negative number * negative number) = negative number, so there does exist a solution, unlike even nth roots like square root, which is restricted to only positive values inside the radical, otherwise you get non-real solutions.
Now let's look at the range of the function, which can be defined as an interval of y-values which can possibly be outputted by the function.
Since as mentioned before, the cube root isn't limited to a certain interval, and rather all real numbers, the range is also similar, since whenever you have a negative number in the radical, the output will be a negative number, so the range is all real numbers
It is (a) -5/3
Slope could also mean gradient, so the gradient of a line is always the number in front of x in the equation y=Mx+c ... Hope it was helpful:)
Answer:
9 cm
Step-by-step explanation:
The volume is given by the formula ...
V = LWH
Filling in the given numbers, you have ...
144 cm^3 = (4 cm)(4 cm)H
H = (144 cm^3)/(16 cm^2) = 9 cm
The height of the prism is 9 cm.
Answer:
For the first one:
y = 2/3x + 1
For the second one:
y = -5x + 4
Step-by-step explanation:
As you may already know, in the y=mx+b equation format:
m = slope
b = y-intercept
On the graph, it already shows the y-intercept, so you can automatically find your b in the equation.
And, the easiest, most quick way to find the slope by using a graph is to calculate using rise/run. So, by doing that you can calculate the equation.
Then, you can just leave the variables y and x alone.
Hope this helped!!
Answer:
18
Step-by-step explanation:
if you do 35 minus 17 you would get 18
