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Helen [10]
3 years ago
6

Compute $121_3+2122_3-1200_3-2111_3$. Express your answer in base 3.

Mathematics
1 answer:
vfiekz [6]3 years ago
3 0

Answer:

-221 base 3

Step-by-step explanation:

We are to calculate the value of the numbers in base 3. One of the ways to do that is to first convert each number to base 10. Do the arithmetic, then convert back to base 3.

121 base 3 +2122 base 3 - 1200 base 3 - 2111 base 3

Let's convert to base10

See attachment for details

From the workings,

121 base 3 + 2122 base 3 - 1200 base 3 - 2111 base 3 = -221 base 3

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Find f(t – 3) for f(x) = 4x^2 – 8x + 4.
Vladimir79 [104]

Answer:

<h2>A. 4t² - 32t + 64</h2>

Step-by-step explanation:

Instead of x put (t - 3) in the equation of the function f(x) = 4x² - 8x + 4:

f(t - 3) = 4(t - 3)² - 8(t - 3) + 4

<em>use (a - b)² = a² - 2ab + b² and the distributive property a(b + c) = ab + ac</em>

f(t - 3) = 4(t² - (2)(t)(3) + 3²) + (-8)(t) + (-8)(-3) + 4

f(t - 3) = 4(t² - 6t + 9) - 8t + 24 + 4

f(t - 3) = (4)(t²) + (4)(-6t) + (4)(9) - 8t + 28

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f(t - 3) = 4t² + (-24t - 8t) + (36 + 28)

f(t - 3) = 4t² - 32t + 64

3 0
3 years ago
Is negative 2 n 13/16 greater, or less than or equal to negative 2 11/14???
Kazeer [188]
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8 0
3 years ago
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Answer:

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Interval notation:

(-∞, 9) U (10, ∞)

Step-by-step explanation:

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÷2    ÷2                ÷3     ÷3

n > 10                      n < 9

<---------            ----------->

<---------0--------0--------->

           9         10

I hope this helps!

6 0
1 year ago
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