9/27
there are infinite ratios equal to 9/27
one if the ratio is 1/3
Answer:
Choice b.
.
Step-by-step explanation:
The highest power of the variable 
in this polynomial is 
. In other words, this polynomial is quadratic.
It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to 
.)
After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.
Apply the quadratic formula to find the two roots that would set this quadratic polynomial to . The discriminant of this polynomial is 
.
.
Similarly:
.
By the Factor Theorem, if 
is a root of a polynomial, then 
would be a factor of that polynomial. Note the minus sign between and 
.
- The root
corresponds to the factor 
, which simplifies to 
. - The root
corresponds to the factor 
, which simplifies to 
.
Verify that 
indeed expands to the original polynomial:
.
Answer:
x has infinite solutions
Step-by-step explanation:
|4x−4(x+1)|=4
Simplify inside the absolute value by distributing the 4
|4x−4x+4|=4
Combine like terms
|4|=4
The absolute value of 4 is 4
4=4
This is always true, so x is all real values
x has infinite solutions
Answer:
1,736.17miles
Step-by-step explanation:
Let the total trip be x miles
If 47% of the total trip is 816, then;
47% of x = 816
0.47x = 816
Divide both sides by 0.47
x = 816/0.47
x = 1,736.17miles
Hence the total miles for the trip is 1,736.17miles
