Answer:
The answer to your question is below
Step-by-step explanation:
Side 1: 3x² - 2x - 1
Side 2: 9x + 2x² - 3
Perimeter: 5x³ + 4x² - x - 3
a) Length of side 1 and side 2
Length = (3x² - 2x - 1) + (9x + 2x² - 3)
= 3x² - 2x - 1 + 9x + 2x² - 3
= (3x² + 2x²) + (-2x + 9x) + (-1 - 3)
= 5x² + 7x - 4
b) Length of the third side
Third side = Perimeter - side 1 - side 2
Third side = 5x³ + 4x² - x - 3 - (5x² + 7x - 4)
Third side = 5x³ + 4x² - x - 3 - 5x² - 7x + 4
Third side = 5x³ + (4x² - 5x²) + (-x - 7x) + (-3 + 4)
Third side = 5x³ - x² - 8x + 1
c) Yes, in this problem we did both operations (addition and subtraction) and we can notice that the polynomials are closed. Also they follow the closure property the addition or subtraction of two polynomials gives another polynomial.
Answer:
A
Step-by-step explanation:
The linear model can be assessed by the checking the independent variables having power 1 which shows the linear relationship between x and y. For example, as in the option B, C and D, the power of Xi's is one. Whereas the non linear model has the power for independent variables greater than 1. For example, as in option A the model is a quadratic model because X associated with β2 has a power of a 2.
Thus the nonlinear model can be expressed as
Y = β0 + β1X + (β2X)2 + ε.
May makes $23.25
Inez makes $2,325.00 (23.25x100)
Carolyn makes $232.50 (2,325 / 10)
-267 - (-855) is the same as
-267 + 855 or
855 - 267
855 - 267 = 588
Hope this helped!
6,900 ft squared. The equation to find the area of a triangle is " a=1/2b×h"
a= area b=base and h=height