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Anestetic [448]
3 years ago
11

21,42,126,504 If it is a geometric sequence, choose the common ratio. If it is not a geometric sequence, choose "not geometric.

Mathematics
1 answer:
Arisa [49]3 years ago
4 0

Answer:

Not geometric

Step-by-step explanation:

In a geometric sequence, each term is multiplied by a common ratio to get the next term.

So if this is a geometric sequence, then dividing each term by the one before it should result in the same common ratio.

42 / 21 = 2

126 / 42 = 3

504 / 126 = 4

The ratios are different.  This is not a geometric sequence.

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Solve these equations.<br> |x-7|=x-7
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Answer:

x ≥ 7

Step-by-step explanation:

|x - 7| = x - 7

A. For each absolute, find the intervals

x - 7 ≥ 0     x - 7 < 0

     x ≥ 7           x < 7

If x ≥ 7, |x - 7| = x - 7 > 0.

If x < 7, |x - 7| = x - 7 < 0. No solution.

B. Solve for x < 7

Rewrite |x - 7| = x - 7 as

+(x - 7) = x - 7

      x - 7 = x - 7

-x + 14 = x

        14 = 2x

          x = 7

7 ≮7. No solution

C. Solve for x ≥ 7

Rewrite |x - 7| = x - 7 as

+(x - 7) = x - 7

      x - 7 = x - 7

True for all x.

D. Merge overlapping intervals

No solution or x ≥ 7

⇒ x ≥ 7

The diagram below shows that the graphs of y = |x - 7| (blue) and of y = x - 7 (dashed red) coincide only when x ≥ 7.

6 0
2 years ago
51. (08.02 MC) Box A has a volume of 48 cubic meters. Box B is similar to box A. To create Box B, Box A's dimensions were double
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Answer:

384 m³

Step-by-step explanation:

Let the dimension of box a be l,b, and h.

ATQ,

lbh = 48 .....(1)

If we double the dimension of box A, we get box B whose new dimensions will be 2l,2b and 2h.

Let V be the volume of box B.

V = (2l)(2b)(2h)

V = 8(lbh)

= 8(48) [from equation (1)]

= 384 m³

Hence, the volume of the box B is 384 m³.

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