Which equation could represent the relationship shown in the scatter plot? PLEASE HELP
1 answer:
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the solutions to the related equation are 0,2,3 .
<u>Step-by-step explanation:</u>
Here we have , function f(x) = x3 – 5x2 + 6x . Graph of this function is given below . We need to find What are the solutions to the related equation . Let's find out:
Solution of graph means the value of x at which the value of f(x) or function is zero . We can determine this by seeing the graph as at what value of x does the graph intersect or cut x-axis !
At x = 0 .
From the graph , at x=0 we have f(x) = 0 i.e.
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⇒
At x = 2 .
From the graph , at x=2 we have f(x) = 0 i.e.
⇒
⇒
⇒
At x=3 .
From the graph , at x=3 we have f(x) = 0 i.e.
⇒
⇒
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Therefore , the solutions to the related equation are 0,2,3 .
The attached diagram represents the Venn diagram of the sets
<h3>How to draw the Venn diagram?</h3>The sets are given as:
- The universal set, U = The set of integers.
- A = The set of even integers.
- B = The set of odd integers.
- C = The set of multiples of 3.
- D= The set of prime numbers
From the above representation, we have the following highlights:
- Set A and set B will not intersect, because no number can be even and odd
- Set C and set D will intersect set A because they have common elements 6 and 2, respectively
- Set C and set D will intersect set B because they have common elements 3 and 3, respectively
Using the above highlights, we can now draw the Venn diagram
See attachment for the Venn diagram
Read more about Venn diagram at:
#SPJ1
