Answer:
(a)
. The domain of this function is all real numbers not equal to -2 or 5.
(b)
. The domain of this function is all real numbers not equal to 0,
or
.
(c)
.The domain of this function is all real numbers not equal to 2 or -4.
(d)
. The domain of this function is all real numbers not equal to -2.
(e)
. The domain of this function is all real numbers.
Step-by-step explanation:
To reduce each rational expression to lowest terms you must:
(a) For 




The denominator in a fraction cannot be zero because division by zero is undefined. So we need to figure out what values of the variable(s) in the expression would make the denominator equal zero.
To find any values for x that would make the denominator = 0 you need to set the denominator = 0 and solving the equation.

Using the Zero Factor Theorem: = 0 if and only if = 0 or = 0

The domain is the set of all possible inputs of a function which allow the function to work. Therefore the domain of this function is all real numbers not equal to -2 or 5.
(b) For 

Quotient = 1


Remainder = 

- The domain of this function is all real numbers not equal to 0,
or
.

(c) For 



- The domain of this function is all real numbers not equal to 2 or -4.

(d) For 



- The domain of this function is all real numbers not equal to -2

(e) For 

- The domain of this function is all real numbers.

Add 21 to both sides: 70n=98
Divide each side by 70: n=98/70
Reduce the fraction: n=7/5
Answer:

Step-by-step explanation:
<u>Given:</u>

<u>Apply exponent rule of distribution:</u>

<u>Simplify the numerator:</u>

<u>Simplify the denominator:</u>

<u>Simplify:</u>

-> To explain this party since it is a bigger jump,
is on the top and the bottom, so it becomes a one. We are left with a four on the top, and using properties of exponents 4 - 1 = 3, explaining why we have
leftover too.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
X^2 - 4 x = -2
Add 4 to both sides:
x^2 - 4 x + 4 = 2
Write the left-hand side as a square:
(x - 2)^2 = 2
Take the square root of both sides:
x - 2 = sqrt(2) or x - 2 = -sqrt(2)
Add 2 to both sides:
x = 2 + sqrt(2) or x - 2 = -sqrt(2)
Add 2 to both sides:
Answer: x = 2 + sqrt(2) or x = 2 - sqrt(2)
Ratio is Joey/girlfriend = 8/7=8x/7x.
8x is height of Joey.
8x=72
x=72/8=9
7x is height of Joey's girlfriend.
7x=7*9=63 in.
Answer: 63 in.