Mathematics, 23.06.2020 10:57 jnthnsngh

Which best describes the relationship between the successive terms in the sequence shown? 2.4, –4.8, 9.6, –19.2 The common difference is –7.2. The common difference is –2.4. The common ratio is –2.0. The common ratio is –0.5.

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Answer from: coursonianp8izbc

The common ratio is -2

Step-by-step explanation:

We can see that to get from 2.4 to -4.8 you multiply by -2. This applies for all of the terms. That means the common ratio is ,

-2

Answer from: yoyo5752

The common difference is –7.2.

Step-by-step explanation:

2.4

–4.8, difference = 7.2 here as -4.8 + -7.2 = 2.4

9.6, difference = -14.4 here as 9.6 - 14.4 = -4.8

–19.2 difference = 28.8 here as -19.2 + 28.8 = 9.6

The common difference is –7.2. is correct

The common difference if it was –2.4 we would not find the next number of the sequence.

With -7.2 we can subtract from 2.4 and find the second part of sequence and show -4.8 and so forth.

Therefore is the relationship as we add this difference to each previous number and can show this in n terms.

0 + 2.4 - 7.2 = -4.8

0 + 7.2 = 7.2

0+ 7.2 + 7.2 = 14.4

0+ 14.4 + 7.2 + 7.2 = 28.8

Answer from: Quest

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180

same as (2x + 16) + (x) = 180

Answer from: Quest

First, think of what you know. you know that the number t the end of the equation will need to be subtracted because it is the money he lost from buying the lawn mower. and your first two weeks have negative profit, so that tells you that c and d are wrong. now you can plug any of the weeks into a and b to see which one works. i'll start with plugging week 1 into a. $y = 60(1) - 90 \\ y = 60 - 90 \\ y = - 30$ this isn't right because it says your answer for week one should be -90.so now we need to try the same thing with b. $y = 60(1) - 150 \\ y = 60 - 150 \\ y = - 90$ this one got you the right answer, (sometimes if you only check with one of the weeks multiple will work so you need to check with more of the weeks, but it worked out fine here)this means that b is the correct answer.let me know if you need more clarification. i hope this : )

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