For the first box on the left hand side, the answer is m < 1 + m < 2 = 180 as they are a linear pair
The first box in the right-hand column is "linear pair postulate" as its very similar to the previous line
The second box on the left-hand side is m < 1 + m < 2 = m < 2 + m < 3. Essentially we're doing replacements. Similar to how x+3 = 10 turns into 7+3 = 10 when we plug in x = 7
The second box on the right-hand side is "subtraction property of equality". We subtract "m < 2" from both sides to end up with m < 1 = m < 3
Answer:
x = -1 or 2
Step-by-step explanation:
Taking the antilog, you have the quadratic ...
x^2 -x -1 = 1
x^2 -x -2 = 0 . . . . subtract 1
(x -2)(x +1) = 0 . . . factor
The values of x that make these factors zero are the solutions to the equation.
x = 2 or x = -1
Answer:
Each pizza is $5.50
Step-by-step explanation:
Divide 16.5 by 3
16.5/3=5.5
we know that
If the only factors a polynomial are
and itself, then that polynomial is prime.
so
If the polynomial has at least one root (one x-intercept) then the polynomial is not prime
Using a graph tool
<u>case 1) </u>

see the attached figure N 1
The polynomial has one root-------> the polynomial is not prime
<u>case 2) </u>

see the attached figure N 2
The polynomial has three roots-------> the polynomial is not prime
<u>case 3) </u>


see the attached figure N 3
The polynomial has zero roots-------> the polynomial is prime
<u>case 4)</u>


see the attached figure N 4
The polynomial has two roots-------> the polynomial is not prime
therefore
<u>the answer is</u>
------> is prime
This year there are 900 rabbits which represents 200% of last year's population, means that last year the number of rabbits was:
x = 900 (100/200) = 450 rabbits.
The mathematical expression can be derived by a simple rule of three.
So, for last year the population was 450 rabbits.