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Ne4ueva [31]
3 years ago
9

Analyze the solution set of the following system by

Mathematics
2 answers:
Lyrx [107]3 years ago
8 0
They all Intercept form
Feliz [49]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange the given equations into this form

2x + y = 5 ( subtract 2x from both sides )

y = - 2x + 5 ← in slope- intercept form

3y = 9 - 6x ( divide all terms by 3 )

y = 3 - 2x = - 2x + 3 ← in slope- intercept form

We have

y = - 2x + 5 and y = - 2x + 3

Both equations have a slope m = - 2

The equations of lines with equal slopes are Parallel lines

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Step-by-step explanation:

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15 Points!<br> Find the range of the functions:<br><br> f(x) = (x + 1)^2 - 1<br><br> f(x) = 7x - 11
MakcuM [25]

In both cases you may well benefit from graphing the functions.

Do you recognize f(x) = (x + 1)^2 - 1 as a quadratic function, whose graph is that of a parabola that opens up? By comparing this to y = a(x-h)^2 + k, we see that a=1, h= -1 and k = -1. The vertex is at (h,k), which here is the point (-1, -1). This is the minimum value of the function. Thus, the range of this function is [-1, infinity).


Now for the function f(x) = 7x - 11: This is a linear function whose graph is (surprise!) a straight line. When x increases, y increases, without limits to either. Similarly, when x decreases, y decreases.

Thus the range includes all real numbers: (-infinity, infinity).

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