We have been given that on a coordinate plane a line with negative slope passes through points 
and 
. We are asked to find the rate of the change of the function.
We know that slope represents rate of change of function.
We will use slope formula to solve our given problem.
Let 
and 
.
Therefore, the rate of change of the given function is 
.
Answer:
Step-by-step explanation:
To find this, first, we need to ask ourselves, "how many times does 6 go into 25?" The answer is 4 because 6 * 4 = 24 with 1 left over. Therefore, we know that the whole number is 4 and the fraction is 1/6, so the answer is .
Part I
We have the size of the sheet of cardboard and we'll use the variable "x" to represent the length of the cuts. For any given cut, the available distance is reduced by twice the length of the cut. So we can create the following equations for length, width, and height.
width: w = 12 - 2x
length: l = 18 - 2x
height: h = x
Part II
v = l * w * h
v = (18 - 2x)(12 - 2x)x
v = (216 - 36x - 24x + 4x^2)x
v = (216 - 60x + 4x^2)x
v = 216x - 60x^2 + 4x^3
v = 4x^3 - 60x^2 + 216x
Part III
The length of the cut has to be greater than 0 and less than half the length of the smallest dimension of the cardboard (after all, there has to be something left over after cutting out the corners). So 0 < x < 6
Let's try to figure out an x that gives a volume of 224 in^3. Since this is high school math, it's unlikely that you've been taught how to handle cubic equations, so let's instead look at integer values of x. If we use a value of 1, we get a volume of:
v = 4x^3 - 60x^2 + 216x
v = 4*1^3 - 60*1^2 + 216*1
v = 4*1 - 60*1 + 216
v = 4 - 60 + 216
v = 160
Too small, so let's try 2.
v = 4x^3 - 60x^2 + 216x
v = 4*2^3 - 60*2^2 + 216*2
v = 4*8 - 60*4 + 216*2
v = 32 - 240 + 432
v = 224
And that's the desired volume.
So let's choose a value of x=2.
Reason?
It meets the inequality of 0 < x < 6 and it also gives the desired volume of 224 cubic inches.
Answer:
30% of employees work part-time
Step-by-step explanation:
i just added 9 and 21 which is 30 and then i figured out that 9 is 30% of 30
Hey dude we’re both from Nepal so here’s the written worksheet hope it helps :)
