Answer:
Original Price = 160
Sale Price =40
Step-by-step explanation:
Let Original Price be x and Sale Price be y
y=1/4 of x (Equation 1)
x=120+y (Equation 2)
Put value of x from equation 2 in equation 1
y= (1/4)*(120+y)
y=120/4 + y/4
y-y/4=30
3y/4=30
y=30*4/3
y=40
Put value of y in Equation 2
x=120+40
x=160
You solve for the domain by setting the radicand less than or equal to 0 and solving for x. Dividing by a -x, we switch the sign so we have that the domain is less than or equal to 0, or all negative numbers. We know that it breaks every law in math to have a negative radicand with an even index, so if the domain is all negative values of x, taking a negative of a negative gives us a positive. The negative sign OUTSIDE the radical means you are flipping the graph upside down. So instead of having a range of y is greater than or equal to 0 as does the parent graph, you have flipped it upside down so it heads more negative in regards to the range. Therefore, the domain and the range both have the same sign, thee last choice from above.
To simplify the problem it would be: -18xy+18y^2
Answer: 940
Explanation: A quick way to think of this is moving the decimal in 9.4 to the right by two decimal places (since there are two zeroes in 100) Hope this helps! :)
Answer:
(9g - 6f)(9g + 6f)
Step-by-step explanation:
81g^2 - 36f^2 =
(9g)² - (6f)² =
(9g - 6f)(9g + 6f)