Suppose a classmate is having difficulty solving 4(x - 7) > 6x + 2 + 8x. Explain how to solve the inequality, showing all the necessary steps and
identifying the properties you would use.

X < -3

Step-by-step explanation:

First, you would want to distribute the 4 to the x and the -7. Distribution is just multiplying. So it would be 4x - 28. Then youd combine the like terms which would be 6x and 8x. Add them. You’re inequality should look like this.

4x - 28 > 14x + 2

you need to get the x’s all on one side. I suggest subtraction -4x from both sides to not only cancel out the 4x but it also keeps both sides equal

-28 > 10x + 2

you need to get 10x by itself on the right side so you must subtract 2 from both sides to equal and remove 2

-30 > 10x

divide both sides by 10 to get x by itself

-3 > x

which is the same as x < -3

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.