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FinnZ [79.3K]
3 years ago
6

Simplify the expression below.                                                                                           . 2x^3

- 12x^2 + 18x - 108 / x - 6A) 4x^2 + 9xB) 2x^2 + 18
c. 3x + 5D) 3x + 2
Mathematics
1 answer:
lukranit [14]3 years ago
5 0
\dfrac{2x^3-12x^2+18x-108}{x-6}=\dfrac{2x^2(x-6)+18(x-6)}{x-6}\\\\=\dfrac{(x-6)(2x^2+18)}{x-6}=2x^2+18\\\\Answer:\ B)\ 2x^2+18
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X + (2x + 5) = 3(x – 4)+7
eduard

Answer:

Not true

Step-by-step explanation:

x + (2x + 5) = 3(x – 4)+7

Opening bracket on left and side and distributing 3 over (x-4) on right hand side

x+2x+5=3x-3 x 4 + 7

adding like terms

3x+5=3x-12+7

3x+5=3x-5

Hence

5 = -5

Which is not possible , Hence the equation given to us is false.

5 0
3 years ago
What is the solution for this inequality? 3(x-4)>5(x-2)-8
Marizza181 [45]

3x - 12 > 5x - 10 - 8 \\ 10 + 8 - 12 > 5x - 3x \\ 6 > 2x \\ x < 3
7 0
3 years ago
What is the balance after 15 years in a savings account that earns 2% interest compounded bimonthly when the initial deposit is
Ierofanga [76]

Answer:

$1348.07

Step-by-step explanation:

Hello!

<h3>Compound Interest Formula: A = P(1 + \frac rn)^{nt}</h3>
  • A = Account Balance
  • P = Principle/Initial Amount
  • r = Rate of Interest (decimal)
  • n = Number of times compounded (per year)
  • t = Number of Years

<h3>Given Information</h3>
  • Account Balance = ?
  • Principle Amount = $1000
  • Rate of Interest = 0.02

Why is the Rate 0.02?

This is because we are gaining money, so the multiplier should be greater than 1. We already added 1, which is 100% so you simply add the 0.02 for the extra 2%.

  • Number of times compounded per year = 6

This is because it is being compounded bi-monthly, or once every 2 months. 12 months divided by 2 months is 6 months, so 6 times a year.

  • Number of years = 15

<h2>Solve </h2>

Solve by plugging in the given values into the formula.

  • A = P(1 + \frac rn)^{nt}
  • A = 1000(1 + \frac {0.02}{6})^{6*15}
  • A = 1000(1 + 0.00333...)^{90}
  • A = 1000(1.00333...)^{90}
  • A = 1000(1.145743)
  • A \approx 1457.43

This is really close to the first option, and since there is rounding involved with the repeating decimal, the first option should be correct.

The answer is $1348.07.

3 0
2 years ago
What are the features of the quadratic function f(×) =×2 +10×+21?​
laiz [17]

A is the correct answer

Or

Vertex = (-5,-4), y-intercept = (0,21), x-intercepts = (-7,0) and (-3,0), axis of

symmetry is x = -5

8 0
2 years ago
0.23 divided by 5.05 explain with steps
Elden [556K]

Answer:

Step-by-step explanation:

\mathrm{Multiply\:the\:numerator\:and\:denominator\:by:}\:100

\mathrm{Multiply\:the\:quotient\:digit}\:\left(0\right)\:\mathrm{by\:the\:divisor}\:505

\mathrm{Subtract}\:0\:\mathrm{from}\:23

3 0
3 years ago
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