1) Which sum best represents the model shown below?
There are 3 blue blocks, and each of them separately equal x^2.
There are 2 green blocks that each separately equal x.
There are 2 red blocks that each separately equal -1.
And there is 1 yellow block that equals 1.
A) 3x^2+2x-1
B) 3x^2+2x-3
C) x^6+x^2-1
D) x^6+2x-1
Please help, I am confused on how to solve this.
My answer is A. Is that correct?
no
srry yes
To determine the sum that best represents the model, you need to add up the values of the blocks of each color. Let's break down the given information:
Blue blocks: 3 blue blocks, and each of them separately equals x^2. So the total value of the blue blocks is 3 * x^2, which can be written as 3x^2.
Green blocks: 2 green blocks, and each of them separately equals x. So the total value of the green blocks is 2 * x, which can be written as 2x.
Red blocks: 2 red blocks, and each of them separately equals -1. So the total value of the red blocks is 2 * (-1), which can be written as -2.
Yellow block: There is 1 yellow block, and it equals 1.
Now, putting all the values together, the sum that represents the model is:
3x^2 + 2x - 2 + 1
Simplifying this expression, we get:
3x^2 + 2x - 1
Therefore, the correct answer is option A) 3x^2 + 2x - 1.