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marshall27 [118]
3 years ago
11

If the third term in an arithmetic sequence is 7 and the common difference is -5, what is the value of the fourth term?

Mathematics
2 answers:
kozerog [31]3 years ago
8 0

Answer: 2

Step-by-step explanation:

I hope this helps!!!

tatiyna3 years ago
4 0
The answer is 2. If the difference is -5, all you have to do is subtract 5 from 7, since 7 is the third term and the question is asking for the fourth term.
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Katena32 [7]
Polynomial with real coefficients always has even number of complex roots. We know that one of them is 2 + 5i so the second one will be  2 - 5i and:

f(x)=\big(x-4\big)\big(x-(-8)\big)\big(x-(2+5i)\big)\big(x-(2-5i)\big)=\\\\=(x-4)(x+8)(x-2-5i)(x-2+5i)=\\\\=(x^2-4x+8x-32)(x^2-2x+5ix-2x+4-10i-5ix+10i-25i^2)\\\\=\big(x^2+4x-32\big)\big(x^2-4x+4-25\cdot(-1)\big)=\\\\=(x^2+4x-32)(x^2-4x+29)=\\\\=x^4-4x^3+29x^2+4x^3-16x^2+116x-32x^2+128x-928=\\\\=\boxed{x^4-19x^2+244x-928}

Answer B.
8 0
3 years ago
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Which graph represents the solution set of this inequality?<br> -3b - 15 &gt; -24
Natasha2012 [34]

Answer:

A

REASON:

It's not B or D because it's increasing and it's not C because if -3 - 15 is -18 then I am pretty sure it's not going to be 3 because it's multiplying  

3 0
3 years ago
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What is 50,000 times 10 to the 15th
Misha Larkins [42]
Remember property of exponents
(x^m)(x^n)=x^{m+n}
add exponents of same base

ok so

50,000 is 5 times 10^4

so

50000 times 10^15=
5 times 10^4 times 10^15=
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8 0
3 years ago
Which equation are equivalent to 1/5+2/3|2-x|=4/15?
disa [49]

Answer:

• 2/3|2 -x| = 1/15

• |2 -x| = 1/10

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Step-by-step explanation:

Starting with the given equation, subtract 1/5 = 3/15.

(2/3)|2 -x| = 4/15 - 3/15

(2/3)|2 -x| = 1/15 . . . . . . . . matches the first choice

Now, multiply by 3/2.

|2 -x| = 3/30

|2 -x| = 1/10 . . . . . . . . . . . . matches the third choice

___

If you decide to distribute the coefficient 2/3 instead, you have

1/5 + |2·2/3 -x·2/3| = 4/15

1/5 + |4/3 -2/3x| = 4/15 . . . . matches the selected choice

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3 years ago
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My initial answer was $2750.45, and I will show you my calculations.

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3 years ago
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