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wariber [46]
3 years ago
7

Simplify (6x−2)2(0.5x)4. Show your work.

Mathematics
1 answer:
WARRIOR [948]3 years ago
5 0

Answer:

{24x}^{2}  - 8x

Step-by-step explanation:

just a warning. not 100% sure if this is right, its just what i did. and yes its legal math. i think lol.

so i distributed the 2 to the 0.5x, getting just x. then multiplying that x by 4 getting 4x. next i just distributed the 4x to the 6x-2. getting the answer bc multiplying an x by an x gets you and x^2. so you get 24x^2 (bc 4 times 6 is 24) and -8x bc 4x times -2 is -8x

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The sum of the first term of an ap is 240 and the sum of the next 4 term is 220 find the first term of the ap
Sindrei [870]

Answer:

The common difference is -5/4

T(n) = T(0)  - 5n/4,

where T(0) can be any number. d = -5/4

Assuming T(0) = 0, then first term

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Step-by-step explanation:

T(n) = T(0) + n*d

Let

S1 = T(x) + T(x+1) + T(x+2) + T(x+3) = 4*T(0) + (x + x+1 + x+2 + x+3)d = 240

S2 = T(x+4) + T(x+5) + T(x+6) + T(x+7) = 4*T(0) + (x+5 + x+6 + x+7 + x+8)d = 220

S2 - S1

= 4*T(0) + (x+5 + x+6 + x+7 + x+8)d - (4*T(0) + (x+1 + x+2 + x+3 + x+4)d)

= (5+6+7+8 - 1 -2-3-4)d

= 4(4)d

= 16d

Since S2=220,  S1 = 240

220-240 = 16d

d = -20/16 = -5/4

Since T(0) has not been defined, it could be any number.

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