Answer:
The least amount is 75 dollars.
The biggest amount is 125 dollars
Step-by-step explanation:
The absolute value function will help us determine a range of possible values since we do not know the exact amount of money.
Defining the function.
Let x be the exact amount of money in my pocket, we can define the equation
And we know that the difference between the exact amount of money with 100 dollars must be either 25 dollars more than what we estimated, or 25 dollars less than the estimation. So we can write:
We have a difference inside an absolute value, since we know the difference must be either +25 or -25.
Solving for x
Using the definition of absolute value we have
So if the inside of the absolute value is positive we have the first line of the piece-wise function, that is
Solving for x give us
If the inside of the absolute value is negative we have to use the second line of the piece-wise function definition
Solving for x give us
So the least amount of money in my pocket is 75 dollars and the biggest amount is 125 dollars.
B.14.2 because you subtract the 98 to the 112
Answer:
Terminal side in 2nd Quadrant
Only sin(x) & cosec(x) are positive in 2nd Quadrant
Perpendicular=5
Base=√(13²-5²)=√(169-25)=√144=√12²=12
Hypotenuse=13
Answer:
f(x) = 
is the required polynomial.
Step-by-step explanation:
Given the zeroes (roots) of the polynomial are 
and 
.
We know that complex roots occur in conjugate pairs.
So, this means that 
and 
would also be the roots of the polynomial.
If 
are to be the roots of the polynomial then the polynomial should have been: 
.
Now, to determine the polynomial for which 
would be the roots.
Roots of the polynomial are nothing but the values of x (any variable) that would make the polynomial zero.
⇒ 
⇒ 
The required polynomial would be the product of all the above polynomials.
Multiply this to get the required equation.
⇒
∴ The required polynomial is x⁴ - 2x³ + 49x² - 18x + 360 = 0.
Answer:
Step-by-step explanation:
3x+3-8=36x-48
collect like terms
3x-36x=-48-3-8
-33x=-59
divide both side
-33×\+-33=-59/-33
×=59/-33 or 1.69
