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Aleksandr-060686
18 days ago
5

A book costs d dollars.

Mathematics
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Which graph has the same end behavior as the graph of f(x) = –3x3 – x2 + 1?
Zina [12379]
Without specific options available, I can provide guidance on where to focus your attention.

The end behavior of a function refers to how the graph behaves (upwards or downwards) as it nears positive or negative infinity within its domain. Essentially, we’re investigating the direction the graph tends towards on both sides.

In this scenario, as the value of x grows, the graph descends, while it ascends when x diminishes. Seek out a comparable occurrence.
4 0
4 months ago
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Kayla says that the point labeled C in the diagram below is the center. Raymond says that point C is the radius. A sphere. The c
Leona [12618]

Answer:

Kayla is right; the center constitutes a fixed point located at the sphere's core.

Step-by-step explanation:

Kayla is indeed correct, whereas Raymond is mistaken since a point itself cannot represent a radius; a radius is defined as the line segment stretching from the center to the surface.

The center is indeed the stable point positioned at the center of the sphere.

6 0
2 months ago
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A dormitory manager buys 38 bed sheets and 61 towels for $791.50. The manager get another 54 bed sheets and 50 towels for $923 f
lawyer [12517]
Define x as the price for each bed sheet and y as the price for every towel. The linear equations representing the scenario are:
                          38x + 61y = 791.50
                                   54x + 50y = 923
When solving for x and y in the equations, the results are x = 12 and y = 5.5. Consequently, one bedsheet costs $12, and each towel is priced at $5.5. 
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2 months ago
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Let P be a point not on the line L that passes through the points Q and R. The distance d from the point P to the line L is d =
AnnZ [12381]

Answer:

The distance from the point (0,1,1) to the specified line is zero.

Step-by-step explanation:

Considering the parametric equations of the line,

x=2t, y=5-2t, z=1+t

In order to calculate the distance from (0,1,1), we must remove t from the equations above, such that

y=5-2t=5-x\implies x+y=5=4+1=4+z-t=4+z-\frac{1}{2}x

\implies 3x+2y-2z-8=0\hfill (1)

whose direction ratios are (l,m,n)=(3,2,-2) and the distance from point (a,b,c)=(0,1,1) is defined as

\frac{al+bm+cn}{\sqrt{l62+m^2+n^2}}=\frac{(3\times 0)+(2\times 1)+(-2)(1)}{\sqrt{3^2+2^2+(-2)^2}}=\frac{0+2-2}{\sqrt{17}}=0

The distance between the point (0,1,1) and (1) amounts to zero. Therefore, the point (0,1,1) is located on the line (1).

8 0
3 months ago
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