suppose f(x) = x2, how does the range of g(x) = f(x) + k compare to the range of f(x)? Where k is any constant value.

1 answer:

4 0

First: Please use the symbol " ^ " to indicate exponentiation. Your f(x) should be x^2, not x2. "x^2" reads "the square of x."

Let y equal g(x) = f(x) + k: y = g(x) = f(x) + k. See that "k" is a y value?
If k=1, we merely translate the graph of f(x)=x^2 UP one scale division to obtain the graph of g(x) = f(x) + 1.

So, how does the range of g(x) compare to the range of f(x)?

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Rob is making a tent out of canvas in the shape of a square pyramid. Each side of the square base is 6 feet long, and the height

Elena L [17]

The amount of balloons in the tent is 125.075 feet cube. From the given options, approximately, option D is correct

Solution:

Given, Rob is making a tent out of canvas in the shape of a square pyramid. Each side of the square base is 6 feet long, and the height is 6.3 feet.

Rob filled the tent with balloons,

We have to find which measurement BEST describes the amount of balloons in the tent?

As tent if filled with balloons the amount of balloons equals with volume of tent.

Volume of tent is given as:

$\text { volume of tent }=a^{2}+2 a \sqrt{\frac{a^{2}}{4}+h^{2}}$

where "a" is side length and "h" is height.

$\begin{array}{l}{\text { Then, Volume }=6.3^{2}+2(6.3) \sqrt{\frac{6.3^{2}}{4}+6^{2}}} \\\\ {=39.69+12.6 \sqrt{9.925+36}} \\\\ {=39.69+12.6 \times 6.7766=39.69+85.385} \\\\ {=125.075 \mathrm{ft}^{3}}\end{array}$