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3 years ago

Which is the graph of g(x) = 2^x-1 +3

Mathematics

1 answer:

nikdorinn [45]3 years ago

3 0

Answer:

See attached picture

Step-by-step explanation:

The graph of $g(x) = 2^{x-1} +3$ is shown below. To find the graph, plug in a few key x values including -2, 1, and 2 then connect.

$g(x) = 2^{-2-1} +3 = \frac{1}{8}+3 = 25/8$

$g(x) = 2^{1-1} +3= 4$

$g(x) = 2^{2-1} +3 = 5$

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3 years ago

What are the solutions to the following system of equations? y = x2 + 3x − 7 3x − y = −2 (2 points) (3, 11) and (−3, −7) (11, 3)

Minchanka [31]

ANSWER

(3, 11) and (−3, −7)

EXPLANATION

The given system of equations are:

$y = {x}^{2} + 3x - 7$

and

$3x - y = - 2$

or

$y = 3x + 2$

We equate the two equations to obtain,

${x}^{2} + 3x - 7 = 3x + 2$

We rewrite in standard quadratic form to obtain,

${x}^{2} + 3x - 3x - 7 - 2 = 0$

This simplifies to

${x}^{2}- 9= 0$

We solve for x to obtain,

${x}^{2} = 9$

$x = \pm \sqrt{9}$

$x = \pm 3$

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When
$x = 3$

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$y = 3( - 3) + 2 = - 7$

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Answer:

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Step-by-step explanation:

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