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Bess [88]
2 years ago
5

What is the reciprocal: 4 2/3

Mathematics
1 answer:
Alekssandra [29.7K]2 years ago
5 0

Answer:42/3

            =3/42

Step-by-step explanation:

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Given f(x)-3X- 1 and g(x) = 2x-3, for which value of x does g(x) = f(2)?
Aleksandr [31]

Answer:

  x = 4

Step-by-step explanation:

You want x when ...

  g(x) = f(2)

  2x -3 = 3(2) -1

  2x = 8 . . . . . . . . add 3, simplify

  x = 4 . . . . . . . . . divide by 2

6 0
3 years ago
(6-3(cube root of 6)/(cube root of 9)
MatroZZZ [7]

For this case we must simplify the following expression:

\frac {6-3 \sqrt [3] {6}} {\sqrt [3] {9}}

Multiplying the numerator and denominator by(\sqrt [3] {9}) ^ 2

\frac {6-3 \sqrt [3] {6}} {\sqrt [3] {9}} * \frac {(\sqrt [3] {9}) ^ 2} {(\sqrt [3] { 9}) ^ 2} =

We rewrite:

\frac {\frac {6-3 \sqrt [3] {6}} * (\sqrt [3] {9}) ^ 2} {\sqrt [3] {9} * (\sqrt [3] {9 }) ^ 2} =

By properties of powers we have that:

a ^ m * a ^ n = a ^ {m + n}\\\frac {(6-3 \sqrt [3] {6}) * (\sqrt [3] {9}) ^ 2} {(\sqrt [3] {9}) ^ 3} =\\\frac {(6-3 \sqrt [3] {6}) * (\sqrt [3] {9}) ^ 2} {9} =

We rewrite, moving the exponent within the radical:

\frac {(6-3 \sqrt [3] {6}) * \sqrt [3] {9 ^ 2}} {9} =\\\frac {(6-3 \sqrt [3] {6}) * \sqrt [3] {81}} {9} =

We can rewrite3 * 3 ^ 3 = 81

\frac {(6-3 \sqrt [3] {6}) * \sqrt [3] {3 * 3 ^ 3}} {9} =

We simplify:

\frac {(6-3 \sqrt [3] {6}) * 3 \sqrt [3] {3}} {9} =

We apply distributive property:

\frac {18 \sqrt [3] {3} -9 \sqrt [3] {18}} {9} =

Simplifying we finally have:

2 \sqrt [3] {3} - \sqrt [3] {18}

Answer:

2 \sqrt [3] {3} - \sqrt [3] {18}

5 0
3 years ago
What would be the value of $150 after eight years if you earn 12 percent interest per year? A. $371.39 B. $415.96 C. $465.88
salantis [7]
<h3>What would be the value of $150 after eight years if you earn 12 % interest per year? A. $371.39 B. $415.96 C. $465.88 </h3>

<em>The compound interest is applied, that is to say, each year the interest produced is accumulated to the outstanding capital and the interest of the next period is calculated on the new outstanding capital.</em>

The formula for calculating compound interest is:

Compound interest = Total amount of Principal and interest in future less Principal amount at present = [P(1 + i)ⁿ] – P

(Where P = Principal, i = nominal annual interest rate in percentage terms, and n = number of compounding periods)

[P(1 + i)ⁿ] – P = P[(1 + i)ⁿ – 1] = $150[(1 + 12/100)⁸ – 1] = $150[(1.12)⁸ – 1] = $150[2.47596317629 - 1] = $150[1.47596317629] = $221.39

Total amount = $150 + $221.39 = $371.39

Answer : A.) $371.39

\textit{\textbf{Spymore}}​​​​​​

5 0
3 years ago
Tyler ate fruit snacks, and Han ate 3/4 less than that. Write an expression for the
xz_007 [3.2K]

Answer:

Step-by-step explanation:

Let x represent amount of fruit snacks tyler ate.

Let x-3/4 represent amount of fruit snacks Han ate.

Thus x-3/4 is an expression for the number of fruit snacks Han ate.

4 0
2 years ago
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You changed the pricing for renewals of your product. Your previous renewal rate was $250. Your income from renewals was $750,00
LiRa [457]
The answer is 2000 customers paid the old rate, the remainder (500) paid new rate

7 0
3 years ago
Read 2 more answers
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