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postnew [5]
3 years ago
13

What are the x-intercept and vertex of this quadratic function g(x) = -5(x-3)2

Mathematics
1 answer:
sergey [27]3 years ago
5 0

Let's solve for g.

gx=(−5(x−3))(2)

Step 1: Divide both sides by x.

gx

x

=

−10x+30

x

g=

−10x+30

x

Answer:

g=

−10x+30

x

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The <em>total surface</em> area of the three figures are 702 square feet.

<h3>How to estimate the amount of metal needed to produce a given amount of figures</h3>

According to this problem, we are required to determine the amount of metal needed to build three pieces with the dimensions presented in the figure.

In this case, we need to estimate the <em>total</em> surface area (A_{T}), in square feet, required for the production of the three pieces, that is, the product of the number of pieces (<em>n</em>), no unit, and the surface area of each piece (<em>A</em>).

Now we proceed to calculate the total surface area:

A_{T} = n\cdot A

A_{T} = 3\cdot \left[(5\,ft)\cdot (8\,ft) + (2\,ft)\cdot (8\,ft)+(8\,ft)\cdot (7\,ft)+(3\,ft)\cdot (8\,ft) \\

+(5\,ft)\cdot (8\,ft)+2\cdot (3\,ft)\cdot (5\,ft) + 2\cdot (4\,ft)\cdot (2\,ft) + (3\,ft)\cdot (4\,ft) ]

A_{T} = 702\,ft^{2}

The <em>total surface</em> area of the three figures are 702 square feet. \blacksquare

To learn more on surface areas, we kindly invite to check this verified question: brainly.com/question/2835293

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