Absolute value is a function that takes some number and outputs the size of that number, regardless of the sign. By definition, 
if 
, and 
if 
.
For example,
- |2| = 2 because the input 2 is positive, so the input is unchanged;
- |-3| = -(-3) = 3 because the input -3 is negative, so the sign is switched.
What this means for this problem is that there are two cases to consider:
- If
, then 
, so that
- On the other hand, if
, then 
, so
Given that the debt has been represented by the function:
f(x)=-6x^2+8x+50
To get the number of years, x that it would take for the company to be debt free we proceed as follows:
we solve the equation for f(x)=0
hence:
0=-6x^2+8x+50
solving for x using the quadratic formula we get:
x=[-b+/-sqrt(b^2-4ac)]/2a
x=[-8+/-sqrt(8^2-4*(-6)*50)]/(-6*2)
x=[-8+/-√1264]/(-12)
x=27.552
x~28
Answer:$ 7425.89
Step-by-step explanation:
Formula to find the compound amount ( compounded semiannually) :-
, where P is the principal amount, r is rate of interest ( in decimal), and n is time in years.
Given : P= $7000
r=2.975%=0.02975
Time : n= 2
Then, The amount in account after 2 years:-
Hence, Amount in account after 2 years = $ 7425.89
Answer:
0.0072
Step-by-step explanation:
The answer is 0.0072. I really hope this helps!
If it does help can you be kind and mark me the brainliest please? Peace and Love
If that's the side length, s, then cube 4x^2+3 to obtain the cube volume:
V(x) = (4x^2+3)^3 (answer)
