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koban [17]
3 years ago
8

The terms in the sequence decrease by the same amount each time:

Mathematics
1 answer:
luda_lava [24]3 years ago
7 0

Answer:the nth term of the sequence, Tn= -3n +12

Step-by-step explanation:

The nth term of an arithmetic progression is given as

Tn=  a+ (n-1) d

where a= first term

and d = common difference

In this sequence, 9, 6 ,3 ,0, -3, -6 we can see that  the number is decreasing by 3

The first term, a= 9

and common difference, d = -3

using our formulae

Tn=  a+ (n-1) d

Tn= 9 + ( n-1) -3

Tn=9- 3n+ 3

Tn= -3n +12

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Elena plans to ride her bicycle 5 miles to a park and then ride several times
Aneli [31]

Option A

Elena need to ride around the  loop four or more times

<em><u>Solution:</u></em>

Given that Elena plans to ride her bicycle 5 miles to a park and then ride several times  around a loop in the park that is 3 miles long

Then she will ride the same way  home

She wants to ride a total of at least 22 miles

<em><u>Given inequality is:</u></em>

3t + 10 > 22

Where "t" is the number of times Elena rides around the loop

<em><u>Solve fot "t" in given inequality</u></em>

3t + 10 > 22

Subtract 10 both sides

3t + 10 - 10 > 22 - 10

3t > 12

Divide by 3 both sides

t > 4

The solution is all real numbers greater than or equal to 4

Which means 4 or more times

Therefore, Option A is correct.

4 0
3 years ago
8x+2(3x-12)=-122<br> Find the value for x. I'm so bad at this kind of thing plz I need help
vampirchik [111]

Answer: x=-7

Step-by-step explanation:

1. distribute the 2 to (3x-12) >>>> 8x+6x-24=-122

2. add 8x and 6x to get 14x >>>> 14x-24=-122

3. add 24 to both sides>>>> 14x=-98

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6 0
3 years ago
Find 24 x 23 slove and share
Brrunno [24]

Answer:

Step-by-step explanation:

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20 x 23 = 460

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4 0
3 years ago
Read 2 more answers
Explain how you can use a quick picture to find 3 x 2.7
umka2103 [35]
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4 0
3 years ago
Find the difference:
VLD [36.1K]

Answer: The difference cannot be found because the indices of the radicals are not the same.

Step-by-step explanation:

To find the difference you need to subtract the radicals. But it is important ot remember the following: To make the subtraction of radicals, the indices and the radicand must be the same.

In this case you have these radicals:

\sqrt[ {8ab}^{3} ]{{ac}^{2} }- \sqrt[ {14ab}^{3}]{{ac}^{2} }

You can observe that the radicands are the same, but their indices are not the same.

Therefore, since the indices are different you cannot subtract these radicals.

6 0
3 years ago
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