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3 years ago

Solve this equation: 3x –1/5- 2/9x= 124/5

Mathematics

1 answer:

snow_tiger [21]3 years ago

5 0

Answer:

x = 9

Step-by-step explanation:

Given

3x - $\frac{1}{5}$ - $\frac{2}{9}$ x = $\frac{124}{5}$ ( add $\frac{1}{5}$ to both sides

3x - $\frac{2}{9}$ x = $\frac{124}{5}$ + $\frac{1}{5}$ = $\frac{125}{5}$ = 25 ← combine x- terms on left side

$\frac{25}{9}$ x = 25 ( multiply both sides by 9 )

25x = 225 ( divide both sides by 25 )

x = 9

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Conan had 180$ in the bank. Each week he deposits another 64$ that he earns mowing lawns. Is his account balance proportional to

balu736 [363]

No, because 64 does not go into 180 evenly.

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4 years ago

N Example 3, the points are(0,3500) and (5,1750). Write an equation that represents the distance y (in feet) remaining after x m

Cerrena [4.2K]

Answer:

<h2>The time needed is 10 months.</h2>

Step-by-step explanation:

The given points are (0, 3500) and (5, 1750).

First, we use the formula below to find the slope of the line

$m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }=\frac{1750-3500}{5-0}=\frac{-1750}{5}=-350$

Which means the function is deacrasing with a ratio of 350 feet per month.

Now, we use the slope and one point to find the equation

$y-y_{1} =m(x-x_{1} )\\y-1750=-350(x-5)\\y=-350x+1750+1750\\y=-350x+3500$

This linear function shows that the situation started at the y-intecept (0, 3500), which means the month 0 had already 3500 feet. In other words, the total distance is 3500 feet. Now, the x-intercept will tell us the time needed to travel that distance.

$0=-350x+3500\\-3500=-350x\\x=\frac{-3500}{-350}\\ x=10$

Therefore, the time needed is 10 months.

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3 years ago

When comparing the functions using the equation, which conclusion can be made?

ankoles [38]

Answer:

domain of f(x) is x ≤ 0; domain of f^-1(x) is x ≥ 4

Step-by-step explanation:

The square root function will always give a positive value, so the opposite of the square root function will give non-≤positive values. That means ...

the domain of f(x) is restricted to non-positive values
the domain of the inverse function is restricted to values of x that make the root be of a non-negative number: x ≥ 4

The domain of f(x) is x ≤ 0; the domain of f^-1(x) is x ≥ 4.

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4 years ago

Tentukan himpinan penyelasaian dari plsv berikut. A:3x+=2x+12

Lena [83]

Answer:

x=12

Step-by-step explanation:

3x=2x+12

3x-2x=12

x=12

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3 years ago

Help on this please i need help so much

attashe74 [19]

The correct answer for each is
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3 years ago

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