Answer:
To make f continuous at
,
should be defined 
Step-by-step explanation:
A function, let say
, is defined at
is continuous at 
If the limit of
as
approaches
is equal to the value of
at
.
Mathematically it is written as:
if

then
is continuous at
.
So from the above definition, we conclude that:
To make f continuous at
,
should be defined 
i.e.
if

then
is continuous at
.
Answer:
22
Step-by-step explanation:
Solve the inequality (20 + 0.5x) + 0.15(20 + 0.5x) ≤ $62.10 for x:
20 + .5x + 3 + 0.75x ≤ 62.10
Combining the x terms, we get:
20 + 3 + 1.25x ≤ 62.10.
Combining the constants on the left:
23 + 1.75x ≤ 62.10
Combining the constants:
1.75x = 39.10
Solving for x: 39.10/1.75 = 22.34
Thus, the max number of whole pages she can have in her book is 22.
Answer:
The ultra-marathon Idita Rod Trail is about 38 times longer than the Boston Marathon.
Step-by-step explanation:
Let
x -----> the length of the Boston Marathon in meters
y -----> the length of the Idita rod Trail Invitational ultra-marathon in meters
we have


we know that
To find out how many times as long is the course of the Idita rod Trail ultra-marathon as that of the Boston Marathon, divide the length of the Idita rod Trail Invitational ultra-marathon by the length of the Boston Marathon
so


Remember that
To divide two numbers in scientific notation, divide their coefficients and subtract their exponents

therefore
The ultra-marathon Idita Rod Trail is about 38 times longer than the Boston Marathon.
For the answer to the question above
Retail price of steel-belted radial tire = $89.50
Discount offered = 10% = $8.95
Value before federal tax = $89.50 - $8.95 = $80.55
Federal tax = 12%=$80.55(0.12) =$9.67
Local sales tax = 5% =$80.55(0.05)=$4.03
Selling price = $80.55 +$9.67+$4.03 =$94.25
I hope my answer helped you. Feel free to ask more questions. Have a nice day!
<u>Answer:</u>
Consistent and dependent
<u>Step-by-step explanation:</u>
We are given the following equation:
1. 
2. 
3. 
For equation 1 and 3, if we take out the common factor (3 and 4 respectively) out of it then we are left with
which is the same as the equation number 2.
There is at least one set of the values for the unknowns that satisfies every equation in the system and since there is one solution for each of these equations, this system of equations is consistent and dependent.