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3 years ago

81-1 1/5 x < 55 please help i need help fast

Mathematics

1 answer:

PSYCHO15rus [73]3 years ago

3 0

Step-by-step explanation:

81 - 1.2x < 55

81 < 55 + 1.2x (add 1.2x to both sides)

1.2x > 26 (subtract 55 from both sides)

x > 21 2/3.

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The vertical asymptotes of a rational function may be found by examining the factors of the denominator that are not common to the factors in the numerator. Vertical asymptotes occur at the zeros of such factors

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3 years ago

Show that in a group of five people (where any two people are either friends or enemies), there are not necessarily three mutual

sveta [45]

Answer:

Lets call the people A,B,C,D and E. We need to find an example where there are not 3 mutual friends and not three mutual enemies.

Lets start by assuming that A has 2 friends, B and C, and 2 enemies, D and E.

Since we want A,B and C not to be mutually friends, then B and C neccesarily have to be enemies.

Now, since B and C are enemies, they cant be enemies at the same time with D, and they also cant be enemies at the same time with E. Therefore one of them has to be friends with D and one has to be friends with E.

Also, since D and E are enemies with A, they neccesarily need to be friends.

From the fact that D and E are friends, we coclude that they cant have a friend in common, as a consequence, B has to be friends with one of D and E and C has to be friend with the other. We can assume that B is friend with D and C is friend with E. If we use that, we have the following friendship configuration

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Friends of A: B, C

Enemies of A: D,E

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Friends of B: A,D

Enemies of B: C, E

------------------------

Friends of C: A,E

Enemies of C: B,D

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Friends of D: B,E

Enemies of D: A,C

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Friends of E: C,D

Enemies of E: A,B

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As you can check, there is not three mutual friends nor three mutual enemies.

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3 years ago

Solve the inequality : 8<=2/3(3y-6)

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Answer:

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Step-by-step explanation:

hope this helps :)

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3 years ago

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Evaluate -2=y+5 and solve the variable

Rudiy27

Answer:

y=-7

Step-by-step explanation:

-2=y+5

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3 years ago

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15. A cylindrical glass 10 cm tall and 8 cm in diameter is filled to 1 cm

ANTONII [103]

Answer:

No. The new height of the water is less than the height of the glass(6.33 cm<10 cm)

Step-by-step explanation:

-For the water in the glass to overflow, the volume of the inserted solid must be greater than the volume of the empty space or the ensuing height of water >height of glass.

#Volume of the golf ball:

$V=\frac{4}{3}\pi r^3\\\\=\frac{4}{3}\pi \times 4^3\\\\\approx 268.08\ cm^3$

#The volume of the water in the glass:

$V=\pi r^2 h\\\\=\pi \times 4^2\times 10\\\\\approx 50.27\ cm^2$

We then equate the two volumes to the glass' volume to determine the new height of the water:

$V=\pi r^2h\\\\(206.08+50.27)=\pi r^2 h\\\\h=318.35/(\pi \times 4^2)\\\\=6.33\ cm$

Hence, the glass will not overflow since the new height of the water is less than the height of the glass(6.33 cm<10cm).

4 0

3 years ago