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3 years ago

3/10y - 2/5 i need to find the coefficient and i dont know how

Mathematics

1 answer:

Rudik [331]3 years ago

7 0

$\frac{3}{10y} - \frac{2}{5} = \frac{3 - 4y}{10y}$

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1. Adrian invests $10,000 in an account that increases by 8% each year. What is the balance in the account after 15 years?

TEA [102]

Answer:

$162000

Step-by-step explanation:

8% of 10000

10000÷100=100×8=800

10000+800=10800

10800×15=162000

6 0

2 years ago

Danny charges $18 for 2 hours of swimming lessons, Martin charges $80 for 5 hours of swimming lessons.

Lelechka [254]

Answer:

danny's offer is cheaper

Step-by-step explanation:

danny = $9 per hour

martin = $16 per hour

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3 years ago

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<img src="https://tex.z-dn.net/?f=4%20%20%20%7B%7D%5E%7Bx%20%7D%20%20%2B%206%20%7B%7D%5E%7Bx%7D%20%3D%209%20%7B%7D%5E%7Bx%7D%20%

Nookie1986 [14]

So, the value of x is 1.19

The question is an exponential equation

<h3>What is an exponential equation?</h3>

An exponential equation is a mathematical expression between two quantities in which one variable is raised to a power of the other variable.

Since $4^{x} + 6^{x} = 9^{x}$ ,

Dividing through by 4ˣ, we have

$\frac{4^{x} }{4^{x} } + \frac{6^{x} }{4^{x} } = \frac{9^{x} }{4^{x} } \\1 + (\frac{6}{4})^{x} } = (\frac{9}{4})^{x} } \\1 + (\frac{3}{2})^{x} } = (\frac{3^{2} }{2^{2} })^{x} } \\1 + (\frac{3}{2})^{x} } = (\frac{3}{2})^{2x} }$

Let y = (3/2)ˣ

So,

1 + y = y²

y² - y - 1 = 0

Using the quadratic formula to find y,

$y = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}$

where a = 1 b = -1 and c = -1

Substituting the values of the variables into the equation, we have

$y = \frac{-(-1) +/- \sqrt{(-1)^{2} - 4\times 1 \times (-1)} }{2\times 1}\\= \frac{1 +/- \sqrt{1 + 4} }{2}\\= \frac{1 +/- \sqrt{5} }{2}\\= \frac{1 - \sqrt{5} }{2} or \frac{1 + \sqrt{5} }{2}\\= \frac{1 - 2.236}{2} or \frac{1 + 2.236}{2}\\= \frac{- 1.236}{2} or \frac{3.236}{2}\\= -0.618 or 1.618$

Since y = (3/2)ˣ

Takung logarithm of both sides, we have

㏒y = ㏒(3/2)ˣ

㏒y = x㏒(3/2)

x = ㏒y/㏒(3/2)

x = ㏒y/㏒1.5

Since we do not have logarithm of a negative number, we use y = 1.618.

So, x = ㏒y/㏒1.5

x = ㏒1.618/㏒1.5

x = 0.2090/0.1761

x = 1.19

So, the value of x is 1.19

Learn more about exponential equation here:

brainly.com/question/11832081

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5 0

1 year ago

6. (11.07 MC) It takes a total of 3 hours to wash every window on a building. There are 30 windows. How many minuten

nevsk [136]

3 hours = 60 x 3 minutes = 180 mins.
Total windows = 30.
So, total time = 30 x 180
= 5400mins
= 90 hours

8 0

3 years ago

For which function is f(x) not equal to f-1(x)?

bagirrra123 [75]

D is the answer.
If f(x) or y = 2x, the inverse is x = 2y or y=x/2 which is not f(x).

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3 years ago

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