Answer:
Solution given:
x^3 - 2x^2 -x+2
take common from two each term
x²(x-2)-1(x-2)
take common again and keep left one on other bracket
<u>(x-2)(x²-1) or (x-1)(x+1)(x-2)</u> is a required answer.
note:using formula a²-b²=(a+b)(a-b) for x²-1.
Answer: Explanatory variable = " number of times the owner has an advertisement played on the radio"
Response variable = "number of new customers who will visit a shop"
Step-by-step explanation:
- An explanatory variable is a kind of independent variable that can be manipulated by researcher in a study to check the response of the response variable.
In the given situation , the business owner is predicting the number of new customers who will visit a shop based on the number of times the owner has an advertisement played on the radio.
Here , He is controlling the advertisement played on the radio to see the response of customers.
Therefore ,
Explanatory variable = " number of times the owner has an advertisement played on the radio"
Response variable = "number of new customers who will visit a shop"
Step 1: 654.75-15.00= $639.75
Therefore the club made $639.75
Solution,
We have,
Width of rectangle, b = (2.5u+9.8) cm
Length of rectangle, l = (1.5u+3.9) cm
We need to find the expression for the perimeter of the rectangle. The formula for the perimeter of a rectangle is given by:
Perimeter = 2(l+b)
P = 2[(2.5u+9.8)+(1.5u+3.9)]
Collecting like terms
P = 2[(2.5u+1.5u)+(9.8+3.9)]
P=2(4u+13.7)
⇒ P = 8u+27.4
So, the expression for the perimeter of the rectangle is (8u+27.4) cm.
