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2 years ago

The graph of g(x), shown below, is a vertical shift of the graph of f(x) = 2x.

Mathematics

1 answer:

4vir4ik [10]2 years ago

3 0

The equation which represents the given graph g(x) is 2ˣ-1.

<h3>What is Equation?</h3>

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

Here, given graph passes through origin.

Put x = 0 in all the given equation and verify which equations gives result as zero.

Put x = 0 in option A

g(0) = 2⁰⁺¹ = 2 ≠ 0

in option B

g(0) = 2⁰-1 = 1 - 1 = 0

Thus, option B g(x) = 2ˣ-1 is the correct expression for the given graph.

Learn more about Equations from:

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3 years ago

Find the Perimeter of the figure below, in inches

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117.8 in.

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3 years ago

Explain how to find the constant of proportionality for the ratio of robins to cardinals.

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4 years ago

Read 2 more answers

An open box is to be made by using a piece of sheet metal with the dimensions of 4m by 2m. Determine the dimensions the box shou

Natali5045456 [20]

Answer:

Dimensions: 0.4 by 3.2 by 1.2

Step-by-step explanation:

I'm assuming here that we are cutting out squares out of each of the metal's corners:

Let x = the length of each cut-out square,

Each base (of the desired net square folded) is 4-2x, and 2-2x respectively,

Volume = x(4-2x)(2-2x)

= 4x^3 - 12x + 8x

Now we take the derivative:

$\frac{d}{dx}\left[4x^3-12x^2+8x\right]\\\\= \frac{d}{dx}\left(4x^3\right)-\frac{d}{dx}\left(12x^2\right)+\frac{d}{dx}\left(8x\right)\\\\= 12x^2-24x+8$

We equate to 0 (0 for max volume), and solve using the quadratic formula:

$12x^2-24x+8=0,\\\\x_{1,\:2}=\frac{-\left(-24\right)\pm \sqrt{\left(-24\right)^2-4\cdot \:12\cdot \:8}}{2\cdot \:12}\\\\= \frac{-\left(-24\right)\pm \:8\sqrt{3}}{2\cdot \:12}\\\\\mathrm{Separate\:the\:solutions}:\\\\x_1=\frac{-\left(-24\right)+8\sqrt{3}}{2\cdot \:12},\:x_2=\frac{-\left(-24\right)-8\sqrt{3}}{2\cdot \:12}\\\\x =\frac{3+\sqrt{3}}{3},\:x=\frac{3-\sqrt{3}}{3}\\\\x=1.57735\dots ,\:x=0.42264\dots$

So we approximate the side lengths to be 1.6 and 0.4 respectively. But when we plug in 1.6 for x, we get the volume as negative. Therefore x has to be 0.4.

Side lengths: 0.4, 4-2(0.4) => 3.2, 2-2(0.4) => 1.2

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3 years ago

2 (3*5) divided 2 to the secound power + 1

Levart [38]

Answer 6

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remove the para-these 2 x 3 x 5 / 2 power of 2 + 1

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3 years ago