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Talja [164]
4 years ago
10

A student worked out the following problem to find

Mathematics
1 answer:
polet [3.4K]4 years ago
7 0
We have that

y=x²<span>+3x-5
</span>y=4x+1

using a graph tool
see the attached figure

the solution are the points
(-2,-7)
(3,13)

<span>the solution obtained by the student
</span>(-2,0)
(3,0)<span>
is incorrect because the values ​​of the coordinate y are incorrect
</span>the values of x are correct
x1=-2
x2=3

<span>with those values ​​of x obtained, the student had to substitute it in any of the two equations to obtain the value of y
</span>so
for x=3
y=4x+1------> 4*(3)+1-----> y=13

for x=-2
y=4x+1------> 4*(-2)+1-----> y=-7

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Step-by-step explanation:

The total fare is $14 for 2 adults and 3 children

x is the child's fare

y is the adults fare

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2)  We are told that x = (1/2)y  [each child's fare is 1/2 each adult's fare]

3) use (2) in (1)

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Check:  Does 3x + 2y = $14 when x = $2/child and y = $4/adult?

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