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Softa [21]
3 years ago
7

When is the product of two integers less than or equal both of the two factors?

Mathematics
1 answer:
Kaylis [27]3 years ago
3 0
When one (not two!) of them is negative:

for example the product of -1 and 6 is -6, which is less than both factors.

It's equal to both factors when they're both 1:

1 x 1=1
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Given the speeds of each runner below, determine who runs the fastest. \text{Katie runs 10 feet per second.} Katie runs 10 feet
Mrrafil [7]

Answer:

noah

Step-by-step explanation:

katie = 10 f/s

ron = 466 f/33s

noah = 559 f/60s

katie = 10 f/s

ron = 466/33 = 14.1212...f/s

noah = 559/60 = 9.3166...f/s

noah is the fastest

4 0
3 years ago
Sam colors each tile in a 4 by 4 grid white or black. A coloring is called rotationally
DiKsa [7]

Answer:

  65,280

Step-by-step explanation:

Consider the 4×4 grid ...

  \left[\begin{array}{cc}a&b\\d&c\end{array}\right]

where each of a, b, c, d is a 2×2 array of tiles. Let's use the notation a' to represent the 2×2 array "a" rotated right 1/4 turn. For 90° rotational symmetry, we must have b=a', c=b'=a'', d=c'=b''=a'''. That is, once "a" is determined, the rest of the grid is determined. Since "a" consists of 4 tiles, each of which can be black or white, there are 2^4 = 16 patterns that have 90° rotational symmetry.

The same will be true of 270° rotational symmetry, for the same reason.

__

For 180° rotational symmetry, we must have c=a'' and d=b''. Then the combination of "a" and "b" together fully determines the grid. Together, "a" and "b" consist of 8 tiles, so there are 2^8 = 256 ways to pattern the grid so it will have 180° rotational symmetry. (Of those, 16 have 90° symmetry, and 16 have 270° symmetry. The sets are overlapping.)

__

The 16 tiles of the grid can be colored 2^16 = 65,536 different ways. As we have seen, 256 of those colorings result in 180° rotational symmetry. Then the number of colorings that have no rotational symmetry is ...

  65,536 -256 = 65,280 . . . . colorings not rotationally symmetric

8 0
3 years ago
The expression 55 + 14m - 2n + 3p has what terms. 2? 5? 3? 4?
dimulka [17.4K]
3 different ones. M-N-& P. Please 
7 0
3 years ago
Can someone help me with this question
Dmitriy789 [7]

Answer:

The horizontal shift is to the left by 2 units and the vertical shift is down 3 units for this function.

I hope I was able to help!

Step-by-step explanation:

7 0
3 years ago
Taxi A charges $0.20 per mile and an initial fee of $4. Taxi B charges $0.40 per mile and an initial fee of $2. Write an inequal
makkiz [27]

The expression for the cost of Taxi B is 0.40<em>x</em> + 2.<em>  </em>The expression for the cost of Taxi A is 0.20<em>x</em> + 4.  The inequality asks for when the cost of Taxi B will be greater than Taxi A, so you write it as 0.40<em>x </em>+ 2 > 0.20<em>x</em> + 4,  or  0.20<em>x</em> + 4 < 0.40<em>x </em>+ 2.

The answer is B) 0.20<em>x</em> + 4 < 0.40<em>x </em>+ 2.

8 0
3 years ago
Read 2 more answers
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