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kenny6666 [7]
3 years ago
5

Establish which of the following statements are true. (a) A sequence is convergent if and only if all of its subsequences are co

nvergent. (b) A sequence is bounded if and only if all of its subsequences are bounded. (c) A sequence is monotonic if and only if all of its subsequences are monotonic. (d) A sequence is divergent if and only if all of its subsequences are divergent.
Mathematics
1 answer:
yawa3891 [41]3 years ago
8 0

Answer:

Statement A - True.

Statement B - False.

Statement C - True.

Statement D - False.

Step-by-step explanation:

(a) A sequence is convergent if and only if all of its subsequences are convergent - this statement is correct.

(b) A sequence is bounded if and only if all of its subsequences are bounded - this statement is incorrect.

(c) A sequence is monotonic if and only if all of its subsequences are monotonic - this statement is correct.

(d) A sequence is divergent if and only if all of its subsequences are divergent - this statement is incorrect.

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3) Mr Peterson bought a case (24 boxes) of fruit juice. One-third of the drinks were
Scilla [17]

Answer:

8 grape and 16 cranberry

Step-by-step explanation:

To find this, we need to know what one-third of 24 boxes are; we'd then do 24 divided by 3, which is equal to 8. One-third of them were grape so we know 8 are grape. Cranberry makes up the other two-thirds; two-thirds is equal to one-third times 2. 8 (one-third) times 2 is 16, giving our answer of 16 cranberry.

8 0
3 years ago
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Triangle RST is the pre-image of triangle UVW with a scale factor of 3. Find the area of triangle UVW if the area of triangle RS
Afina-wow [57]
A. (Area of triangle UVW)/(Area of triangle RST)=3^2=9
B. Substitute Area of triangle RST=9 into the equation above.

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4 0
4 years ago
Use prime factorization to reduce 36/180
Nataly [62]
The fraction 36/180 can be recuced to 1/5 because 36 divided by 36 is 1 and 180 divided by 36 is 5 hope it helped :)
3 0
3 years ago
Which BEST describes the shape of the distribution
posledela

Answer:

b

Step-by-step explanation:

4 0
3 years ago
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Please answer correctly !!!! Will mark brainliest answer !!!!!!!!!
valina [46]

Answer:

functions f(x) and g(x) share one root in common that of x=2 and each have another different root

Step-by-step explanation:

Notice that function g(x) has for roots the values x = -1 and x = 2, (these are the crossings of the x axis that you see in the graph)

On the other hand, the function f(x) has two roots that are obtained by factoring it out:

f(x)=x^2+x-6\\f(x)= x^2-2x+3x-6\\f(x)=x(x-2)\,+\,3(x-2)\\f(x)=(x-2)\,(x+3)

Therefore it has roots at x=2 and x= -3

So functions f(x) and g(x) share one root in common that of x=2 and each have another different root

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3 years ago
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