Study these equations: f(x) = 2x – 4 g(x) = 3x + 1 What is h(x) = f(x)g(x)? h(x) = 6x2 – 10x – 4 h(x) = 6x2 – 12x – 4 h(x) = 6x2
1 answer:
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Answer:
y = (x - 4)² - 26
Step-by-step explanation:
To complete the square, all we need to do is take term -8x, and add enough to make the equation come out to the square of half that. Half of -8 is -4, so we need to add 26 to the equation to end up at 16:
Giving us the final result
The expression that represents the volume of the rectangular prism, in terms of the width w, is given as follows:
6w³ cubic units.
<h3>How to obtain the volume of a rectangular prism?</h3>A rectangular prism is composed by three dimensions, given as follows:
- Length l.
- Width w.
- Height h.
The volume of the rectangular prism is given by the multiplication of these three dimensions, as follows:
V = lwh.
From the image given at the end of the answer, the dimensions of the prism are given as follows:
- Width w.
- Length l = 2w.
- Height h = 3w.
Hence the expression that gives the volume of the rectangular prism is given as follows:
V = w x 2w x 3w = 6w³ cubic units.
<h3>Missing Information</h3>The prism is given by the image shown at the end of the answer.
More can be learned about the volume of a rectangular prism at brainly.com/question/22070273
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