Answer:

Step-by-step explanation:
Given the function:

To find:
Domain of the function.
Solution:
First of all, let us learn about definition of domain of a function.
Domain of a function is the valid input values that can be provided to the function for which output is defined.
OR
Domain of a function
are the values of
for which the output
is a valid value.
i.e. The function does not tend to
or does not have
form.
So, we will check for the values of
for which
is not defined.
For value to tend to
, denominator will be 0.

So, the domain can not have x = 2
Any other value of x does not have any undefined value for the function
.
Hence, the answer is:
[2 is not included in the domain].
Answer:
x = 9
Step-by-step explanation:
84 + (7x + 5) + (180 - (17x-1)) = 180
84 + 7x + 5 + (181 - 17x) = 180
270 + (-10x) = 180
90 = 10x
x = 9
Answer:
62.5
Step-by-step explanation:
P = (6.50f) - 100
All you have to do is plug in 25 for f in the equation and solve for P.
P = (6.50*25) - 100
P = 162.5 - 100
P = 62.5
Answer:
The length of the shorter piece=0.35 m
Step-by-step explanation:
Let the lengths be as follow;
Shorter piece=x
Longer piece=15 cm longer than twice shorter piece(x)
Since 1 m=100 cm, 15 cm=15/100=0.15 m
Longer piece= (2×x)+0.15=2x+0.15
Total length=1.2 m
Total length=shorter piece+longer piece
Replacing;
1.2=x+2x+0.15
3x=1.2-0.15
3x=1.05
x=(1.05/3)=0.35
The length of the shorter piece=x=0.35
Answer:
$8.50
And I’m sorry it looks like a number is missing from the second question
Step-by-step explanation:
3.5+(4*1.25)=8.5