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Zigmanuir [339]
3 years ago
15

Help! I can’t figure out what the number is.

Mathematics
1 answer:
vekshin13 years ago
7 0
I think it is 17 because it is non zero
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What is the difference? Complete the equation. -4 - 2 1/2
Lina20 [59]

Answer: - 6 1/2

Step-by-step explanation:

We should note that:

=-4 - 2 1/2

= -6 1/2

For example, let's assume you owe Bob $4 and then you owe Bill $2 1/2. To calculate the total amount owed, you would have $6 1/2.

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3 years ago
Find the numbers a, b and c if the polynomial x3−18x2+24xb−c is the cube of the binomial x+2a.
mojhsa [17]

Answer:

a=-3\\ \\b=\dfrac{9}{2}\\ \\c=216

Step-by-step explanation:

Use formula

(u+v)^3=u^3+3u^2v+3uv^2+v^3.

Hence,

(x+2a)^3=x^3+3x^2\cdot 2a+3x\cdot (2a)^2+(2a)^3=x^3+6ax^2+12a^2x+8a^3.

This expression is equal to

x^3-18x^2+24bx-c,

so we can equate the coefficients at powers of x:

x^3:\ 1=1\\ \\x^2:\ 6a=-18\Rightarrow a=-3\\ \\x:\ 12a^2=24b\Rightarrow b=\dfrac{9}{2}\\ \\1=x^0:\ 8a^3=-c\Rightarrow c=-8\cdot (-3)^3=216.

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3 years ago
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