Answer:
Step-by-step explanation:
For our first step, let's rearrange our equation to get our variable terms (8x and 4x) and our constants (the two 3's) together:
Taking away 3 twice is the same as taking away 6, and if we have 8 x's and add another 4 x's, that's the same as 8 + 4 = 12 x's, which we can write as 12x. So our simplified expression becomes
Answer:
.
Step-by-step explanation:
We want to convert the function into the form that let's us easily find the x-intercept, and it would be for the form because then we can find the x-intercept in the following manner:
We factor our function and get
Now this form let's us easily find the x-intercepts:
and so we pick the second choice: f(x)=(2x+1)(2x-1).
Answer:
Domain of the function is { x : x∈R, x>0 } or (0,∞).
Step-by-step explanation:
It is given that the dimensions of a rectangular piece of cardboard are
Length = 14 inch
Width = 10 inch
The box will be constructed by cutting out equal squares of side x at each corner and then folding up the sides. So the dimensions of the box are
Length = 14-2x inch
Breadth = 10- 2x inch
Height = x inch
The volume of cuboid box is
The volume function of the box is
The volume function is V=(14-2x)(10-2x)x.
It is a polynomial function and domain of a polynomial function is all real numbers.
Here, x represents the height of the box. So, value of x must be a positive real number.
Domain of the function is
Domain = { x : x∈R, x>0 }
It can be written as (0,∞).
Therefore, domain of the function is { x : x∈R, x>0 } or (0,∞).