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4 years ago

Explain how to graph -√(x-3). (How do you graph sqrt functions that have a negative sign in front of them?)

1 answer:

6 0

Firstly put $f(x) = \sqrt{x}$ then observe

$f(x+3)= \sqrt{x+3}$
$\Rightarrow -f(x+3) = -\sqrt{x+3}$

Then it becomes a case of standard transformations of the function f. i.e. take the regular square root function, shift it left 3 units and reflect it in the x-axis.

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a pyramid whose altitude is 5ft weighs 800lbs. at what distance from its vertex must it be cut by a plane parallel to its base s

slavikrds [6]

A structure which has a square base and four triangular sides meeting at a point is called pyramid.

At distance of 3.97 feet from its vertex , pyramid is cut by plane so that the two solids of equal weight will be formed.

It is assumed that weight of pyramid is proportional to its volume.

So, $w = k V$ , where V is volume of original pyramid and v is volume of small pyramid and k is constant.

Let us consider that at h distance, pyramid is cut from its vertex. So a small pyramid is also formed.

Assume that base area of original pyramid is A and base of small pyramid is a.

Volume of original pyramid is, $V= \frac{1}{3} *A* 5$

So, weight of original pyramid, $W = k *(\frac{1}{3} *A* 5) = 800$

Volume of small pyramid is, $v = \frac{1}{3}* a* h$

So, weight of small pyramid, $w = k*(\frac{1}{3}* a* h)=400$

Since, base and height of small pyramid and original pyramid are in proportion.

So, $\frac{a}{A} = (\frac{h}{5}) ^{2}$

$a = (\frac{h}{5} )^{2}A$

Substituting value of a in equation $k*(\frac{1}{3}* a* h)=400$

So, $k*(\frac{1}{3}* \frac{h^{2} }{25}A * h)=400$

$(k*\frac{1}{3}* A*5)*\frac{1}{5} *\frac{h^{2} }{25} * h)=400$

Since, $(k *\frac{1}{3} *A* 5) = 800$ , substitute in above equation.

So, $800*\frac{h^{3} }{125}=400\\\\h^{3}=\frac{125}{2}\\\\h=\sqrt[\frac{1}{3} ]{62.5}\\\\h=3.97 feet$

Learn more:

brainly.com/question/17950304

6 0

3 years ago

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A backpacking tent in the shape of a triangular prism has sides that are 6 ft and a length of 7 ft. What is the volume of the te

Zanzabum

the volume of the tent to the nearest whole number is 109.

3 0

3 years ago

I WILL GIVE 44 POINT PLEASE HELP!!!!!

Nina [5.8K]

$|\Omega|=50\\ |A|=26\\\\ P(A)=\dfrac{26}{50}$

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3 years ago

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83 Tee (CsT Sequences and Functions

NISA [10]

Answer:

The common difference is same = d = -9

Therefore, the data represent a linear function.

Step-by-step explanation:

Given the table

x y

1 4

2 -5

3 -14

4 -23

5 -32

Finding the common difference between all the adjacent terms of y-values

d = -5 - 4 = -6,

d = -14 - (-5) = -14+5 = -9

d = -23 - (-14) = -23 + 14 = -9

d = -32 - (-23) = -32 + 23 = -9

It is clear that the common difference between all the adjacent terms is same.

Thus,

d = -9

We know that when y varies directly with x, the function is a linear function.

Here, it is clear that each x value varies 1 unit, and each y value varies -9 units.

i.e. The common difference is same = d = -9

Therefore, the data represent a linear function.

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3 years ago

The price of a pair of shoes is $28. The sales tax rate is 2.39 percent. What is the total amount you would pay if you bought th

Nadya [2.5K]

0.0239 x 28 = .6692 (this is the amount of tax paid)
shoes + tax = total
$28 + 0.6692 = $28.6692 which rounds to $28.67 (money is always rounded to the hundredths place)

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3 years ago

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