The graph shows the functions f(x), p(x), and g(x):
1 answer:
Part A:
The solution of p(x) and g(x) is the point of intersection of the two lines. Reading this off the diagram we can see that the point of intersection is (4, -3)
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Part B:
A solution for g(x) is any pair of coordinates that lie on the line g(x). We can choose any two coordinates; (5, -5) and (-6, 17)
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Part C:
The solution to g(x) = f(x) is the point of intersection. From the graph, the point of intersection is (0, 5)
The solution of p(x) and g(x) is the point of intersection of the two lines. Reading this off the diagram we can see that the point of intersection is (4, -3)
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Part B:
A solution for g(x) is any pair of coordinates that lie on the line g(x). We can choose any two coordinates; (5, -5) and (-6, 17)
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Part C:
The solution to g(x) = f(x) is the point of intersection. From the graph, the point of intersection is (0, 5)
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The total cost of rice and beans bought by Gabriel is 6b + 4r.
The simplified expression of the final cost is 4b + 3r.
<h3>What is simplification?</h3>Simplification can be defined as a process of replacing a mathematical expression by the cancellation of common factors, regrouping of terms in the same variable to get the more simple form of the given expression.
Given that
6b + 4r represents the total cost of the rice and beans Gabriel bought.
He returns 2 bags of beans and 1 bag of rice.
This can be written as,
Then, the total number of bags of rice and beans is given as,
When we simplify the above equation, we get,
Hence we can conclude that the expression for rice and beans after the return is (4b+3r).
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we take coefficient of middle term and then divide by 2 and then square it
coefficient of middle term is 26
Divide by 2, it becomes 13
then we square it (13)^2 = 169
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We got the equation in vertex form