Answer:
![(x^2 + 4)(x + 2)(x - 2)](https://tex.z-dn.net/?f=%28x%5E2%20%2B%204%29%28x%20%2B%202%29%28x%20-%202%29)
Step-by-step explanation:
Hello!
We can use the difference of square method.
<h2>Difference Of Squares (DOS)</h2>
The formula for the DOS is ![(a + b)(a - b) = a^2 - b^2](https://tex.z-dn.net/?f=%28a%20%2B%20b%29%28a%20-%20b%29%20%3D%20a%5E2%20-%20b%5E2)
It is a simple way to factor polynomials.
The criteria:
- Has to begin and end with a perfect square
- The operation has to be subtraction
<h3>Factor:</h3>
Begins with a perfect square (x² * x²) and ends with a perfect square (4 * 4)
Warning! Watch out, there may be another DOS!
is another DOS
The x² + 4 is not a DOS because the operation is addition.
The final factored form is ![(x^2 + 4)(x + 2)(x - 2)](https://tex.z-dn.net/?f=%28x%5E2%20%2B%204%29%28x%20%2B%202%29%28x%20-%202%29)
<u>Part (a)</u>
The variable y is the dependent variable and the variable x is the independent variable.
<u>Part (b)</u>
The cost of one ticket is $0.75. Therefore, the cost of 18 tickets will be:
dollars
Now, we know that Kendall spent her money only on ride tickets and fair admission and that she spent a total of $33.50.
Therefore, the price of the fair admission is: $33.50-$13.50=$20
If we use y to represent the total cost and x to represent the number of ride tickets, the linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission can be written as:
......Equation 1
<u>Part (c)</u>
The above equation is logical because, in general, the total cost of the rides will depend upon the number of ride tickets bought and that will be 0.75x. Now, even if one does not take any rides, that is when x=0, they still will have to pay for the fair admission, and thus their total cost, y=$20.
Likewise, any "additional" cost will depend upon the number of ride tickets bought as already suggested. Thus, the total cost will be the sum of the total ride ticket cost and the fixed fair admission cost. Thus, the above Equation 1 is the correct representative linear equation of the question given.
Answer:
c. trapezoid
Step-by-step explanation:
Answer:
C. it is not a function
Step-by-step explanation:
It fails the horizontal and vertical line test.
To pass the horizontal line test [injective]: must not hit a horizontal line passing through more than once.
To pass the vertical line test [function]: must not hit a vertical line passing through more than once.
Answer:
I believe that would be the rate..
Step-by-step explanation: