The domain are all valid values for x (the independent variable) that can be used in an equation.
We have to look at any potential values of x which won't work. Easily put: in algebra, just look for values of x which cause either division by zero, or the square root of negative numbers.
A couple of examples:
y=2x+4
You can insert any negative or positive value, or zero, for x and get a valid equation. Therefore the domain is the set of all real numbers. Answers are usually written as:
x: {R}, or simply 'all real numbers'.
what about y=2/(x-1)
In this equation, x appears in the denominator. If x-1=0, then division by zero would occur.
Solve: x-1≠0
x≠1
In set notation:
x: (-∞,1)∪(1,∞)
Parentheses are next to the 1, as the domain comes up to 1, but does not include 1.
Read left to right, the domain is "negative infinity to 1, exclusive, in union with 1 to positive infinity"
Answer:It is 100 times as great in the ZIP code than it is in the area code
Step-by-step explanation:
step 1
Veronica 's uncle ZiP CODE = 89507 = The value of 5 here, represents 5 Hundred-----500
Veronica 's uncle Area code= 775 = The value of 5 here represents 5 units--5
it will take a 100 times the value of 5 in the area code to be same as the value of 5 in the ZIP code
Step 2:
Therefore, we can say that the value of 5 is 100 times as great as the ZIP code than it is in the area code.
Answer:
-z( 2z^3-5z^2+9z-1)
Step-by-step explanation:
Apply exponent rule: a^b+c=a^b*a^c
z^2=zz
z^3=z^2*z
z^4=z^3*z
Factor out common term z:
-z(2z^3-5z^2+9z-1)
Replace x with 2 and solve each equation:
1/2(2) + 4 = 1 + 4 = 5
2+ 6 -1/2(2) -2 = 8-3 = 5
The answer is:
both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
