Answer: - 8.89%
I am going to explain you in detail ir order to help you to be able to do this kind of problems by yourself.
The definition of percent change, %, is:
change
% = ---------------- * 100
base value
The base value is from where you start or the value for which you want to asses the variation.
So, in this case the base value is 90 (starting value).
The change is final value - initial value = 82 - 90 = - 8. The negative sign means that the value decreased.
So, following the formula you get:
82 - 90 - 8
% = ----------- * 100 = -------- * 100 = - 8.89
90 90
Answer: the percent of change is - 8.89 %, meaning that the value decreased 8.89%.
Answer:
1. Fill in the box with 1
2. Fill in the box with -2
Step-by-step explanation:
Expression:
![(-2x^3 + [\ ]x)(x^{[\ ]}+1.5) = A](https://tex.z-dn.net/?f=%28-2x%5E3%20%2B%20%5B%5C%20%5Dx%29%28x%5E%7B%5B%5C%20%5D%7D%2B1.5%29%20%3D%20A)
Solving (1): Fill in the box to make it a polynomial.
To make it a polynomial, we simply fill in the box with a positive integer (say 1)
Fill in the box with 1
![(-2x^3 + [1]x)(x^{[1]}+1.5) = A](https://tex.z-dn.net/?f=%28-2x%5E3%20%2B%20%5B1%5Dx%29%28x%5E%7B%5B1%5D%7D%2B1.5%29%20%3D%20A)
Remove the square brackets


Open bracket

Reorder

The above expression is a polynomial.
This will work for any positive integer filled in the box
Solving (2): Fill in the box to make it not a polynomial.
The powers of a polynomial are greater than or equal to 0.
So, when the boxes are filled with a negative integer (say -2), the expression will cease to be a polynomial
Fill in the box with -2
![(-2x^3 + [-2]x)(x^{[-2]}+1.5) = A](https://tex.z-dn.net/?f=%28-2x%5E3%20%2B%20%5B-2%5Dx%29%28x%5E%7B%5B-2%5D%7D%2B1.5%29%20%3D%20A)
Remove the square brackets

Reorder

Open brackets

Collect Like Terms


Notice that the least power of x is -1.
Hence, this is not a polynomial.
Answer:
- 37
Step-by-step explanation:
5 • 2 • ( - 4 ) + 6 ÷ 2
= 5 • 2 • ( - 4 ) + [ 6 ÷ 2 ]
= 10 • ( - 4 ) + 3
= - 40 + 3
= - 37
Answer:
See there y-intersept and if slope is negative or positive to see if they intersect