Take out the constants
(2 × 4)x^2xx^2y^3y^4z^2
Simplify 2 × 4 to 8
8x^2xx^2y^3y^4z^2
Use the Product Rule: x^ax^b = x^a + b
8x^2 + 1 + 2y^3 + 4z^2
Simplify 2 + 1 + 2 to 5
8x^5y^3 + 4z^2
Simplify 3 + 4 to 7
<u>8x^5y^7z^2</u>
The graphing of a ratio includes one axis representing part A of the ratio and the other axis representing part B of the ratio. for example, if you have 20 defects per 100 parts of a car, the defects would be represented as part a and the total parts would be represented by part b. These graphs show one part on the left hand and the other on the bottom of the graph, and the graphing of each ratio acts a lot like graphing an equation you would normally see.
7 cups - 2 cups = 5 cups of flour
Answers:
Graph A is a function
Graph B is not a function
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Explanation:
To check if we have function or not, we apply the vertical line test. This test is where you ask yourself: "Is it possible to draw a single vertical line through more than one point on the curve?"
If the answer to that question is "yes it is possible", then we do not have a function. Graph B shows that we can draw a line through say x = 2 and have the vertical line intersect at points (2,2) and (2,4). The input x = 2 leads to multiple outputs y = 2 and y = 4 simultaneously. This is why graph B is not a function.
A function is only possible when any x input from the domain leads to exactly one y output in the range. Graph A is a function because we cannot draw a single vertical line to intersect through that curve more than once.
