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horrorfan [7]
2 years ago
15

What is the missing factor in the equation? Assume x * 0 and y* 0.

Mathematics
1 answer:
weeeeeb [17]2 years ago
4 0

Answer:

\sf b)  \quad \dfrac{y^3}{4x}

Explanation:

\sf \left(\dfrac{6x^2}{5y}\right)  \left(?}\right) = \left(\dfrac{3xy^2}{10}\right)

cross multiply variables

\sf ? = \left(\dfrac{3xy^2 (5y)}{10(6x^2)}\right)

distribute inside parenthesis

\sf ? = \left(\dfrac{15xy^3}{60x^2}\right)

remove parenthesis and simplify

\sf ? = \dfrac{y^3}{4x}

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Subtract (x^2+3x-4) -(4x-2x^2-3)
Feliz [49]

Answer:

3 x^2 - x + -1

Step-by-step explanation:

Simplify the following:

-(4 x - 2 x^2 - 3) + x^2 + 3 x - 4

Factor -1 out of -2 x^2 + 4 x - 3:

--(2 x^2 - 4 x + 3) + x^2 + 3 x - 4

(-1)^2 = 1:

2 x^2 - 4 x + 3 + x^2 + 3 x - 4

Grouping like terms, 2 x^2 + x^2 + 3 x - 4 x - 4 + 3 = (x^2 + 2 x^2) + (3 x - 4 x) + (-4 + 3):

(x^2 + 2 x^2) + (3 x - 4 x) + (-4 + 3)

x^2 + 2 x^2 = 3 x^2:

3 x^2 + (3 x - 4 x) + (-4 + 3)

3 x - 4 x = -x:

3 x^2 + -x + (-4 + 3)

3 - 4 = -1:

Answer: 3 x^2 - x + -1

4 0
4 years ago
Mary invests £12000 in a savings account. The account pays 1.5% compound interest per year. Work out the value of her investment
vazorg [7]
\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &12000\\
r=rate\to 1.5\%\to \frac{1.5}{100}\to &0.015\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{per year, thus once}
\end{array}\to &1\\
t=years\to &2
\end{cases}
\\\\\\
A=12000\left(1+\frac{0.015}{1}\right)^{1\cdot 2}
3 0
4 years ago
Find the supplement of a 55° angle, in degrees.
tangare [24]
125°

Supplementary says that the combination of the angles is equal to 180°.

180-55
3 0
4 years ago
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oee [108]

Answer:

36 and 49

Step-by-step explanation:

6x6 and 7x7

7 0
3 years ago
Bella makes 10 ropes in 1/4 an hour. How many ropes can she make in 2 hours?<br> show work plz
avanturin [10]

Answer:

80 ropes in 2 hours

Step-by-step explanation:

If she makes 10 ropes in 1/4 of an hour, she will make 40 ropes in one whole hour because an hour divided by four would mean that you need to times 10 by four. For the second hour you add another 40 because 40 is the value for one hour and you need to know how many ropes in two hours. :) really hope this helps

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3 years ago
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