Select the correct answer from the drop-down menu. Consider the equations y=√x and y=x² -1 The system of equations is equal at

Question

Select the correct answer from the drop-down menu.
Consider the equations y=√x and y=x² -1
The system of equations is equal at approximately
A.(1.5,1.2)
B.(-1.5,-1.2)
C.(1.5,-1.2)
D.(-1.5,1.2)

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Amara 6 days 2021-09-15T02:22:00+00:00 2 Answers 0

Answers ( )

    0
    2021-09-15T02:23:52+00:00

    Answer:

    Choice A.

    Step.-by-step explanation:

    y=√x

    y=x² -1

    Substituting the values in choice A:

    1.2 = √1.5 = 1.2247     Approximately equal.

    1.2 = (1.5)^2 – 1 = 1.25   Approximately equal.

    Choice B.

    -1.2 = √-1.5  which is imaginary so NOT this one.

    Choice C

    -1.2 = √1.5 = -1.2247

    -1.2 = (1.5)^2 – 1 = 1.25  NO.

    Choice D

    We have the non real value √-1.5 again so NOT this one.

    0
    2021-09-15T02:23:53+00:00

    Answer: Option A

    A.(1.5,1.2)

    Step-by-step explanation:

    We have the following system of equations

    y=\sqrt{x}

    y=x^2 -1

    the solution of the system will be all points that satisfy both equations at the same time

    For (1.5,1.2)

    y=\sqrt{1.5}=1.2

    y=(1.5)^2 -1=1.2

    Both equations are satisfied

    Note that we can discard options B and D because the domain of the equation y =\sqrt{x} does not include the negative numbers.

    We can discard option C because the range of the function y =\sqrt{x} does not include the negative numbers.

    Finally the answer is the option A

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