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Dima020 [189]
4 years ago
6

Expand the equation (2x+3)^4

Mathematics
1 answer:
inysia [295]4 years ago
6 0
(2x+3)(2x+3)(2x+3)(2x+3)
(4x^2+12x+9)(4x^2+12x+9)
16x^4+48x^3+36x^2+48x^3+144x^2+108x+36x^2+108x+81
16x^4+(48+48)x^3+(36+144+36)x^2+(108+108)x+81

ans:  16x^4+96x^3+216x^2+216x+81
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x=16

Step-by-step explanation:

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Which representation of a transformation on a coordinate grid does not preserve congruence? A (x,y) → (x,-Y) B (x, y) + (x + 7,
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4 0
3 years ago
X-4y=-4<br> 5x – 4y= 12
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Answer: {x,y} = {4,2}

  [1]    x - 4y = -4

  [2]    5x - 4y = 12// Solve equation [1] for the variable  x

 [1]    x = 4y - 4

// Plug this in for variable  x  in equation [2]

  [2]    5•(4y-4) - 4y = 12

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  [2]    16y = 32

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Step-by-step explanation:

8 0
3 years ago
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Suppose you have $1750 in your savings account at the end of a certain period of time. You invested $1500 at a 3.72% simple annu
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Answer:

4.48 years

Step-by-step explanation:

The formula for simple interest is

A = P(1+r*t), with A being the final amount, P being the initial amount, r being the interest rate, and t being the time. Plugging our values in, we get

1750 = 1500(1+0.0372 * t)

Note that 3.72 was translated into 0.0372 as changing percents to decimals requires dividing by 100

Expanding our equation, we get

1750 = 1500 + 55.8 * t

subtract 1500 from both sides to isolate the t and its coefficient

250 = 55.8 * t

divide both sides by 55.8 to get t

t = 4.48

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