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3 years ago

Solve the equation 2x−1/4−3x−2/5=1/10

2 answers:

7 0

Step 1: Simplify both sides of the equation.

2x−1/4−3x−2/5=1/10

2x+−1/4+−3x+−2/5=1/10

(2x+−3x)+(−1/4+−2/5)=1/10(Combine Like Terms)

−x+−13/20=1/10

−x+−13/20=1/10

Step 2: Add 13/20 to both sides.

−x+−13/20+13/20=1/10+13/20

−x=3/4

Step 3: Divide both sides by -1.

−x−1=3/4−1

x=−3/4

Alisiya [41]3 years ago

7 0

$2x - \frac{1}{4} - 3x - \frac{2}{5} = \frac{1}{10} \\ \\ - x - \frac{1}{4} = \frac{5}{10} \\ \\ - x - \frac{1}{4} = \frac{2}{4} \\ \\ - x = \frac{3}{4} \\ \\ x = - \frac{3}{4}$

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if you double the input of a function and it results in twice the output and if you triple the input and it result in three time

bearhunter [10]

A function behaving as you state is a linear function, which means that the output varies directly with the input.

So, there exists some constant $k \in \mathbb{R}$ such that your function is in the form

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In fact, if you double the input, you have

$f(2x) = k\cdot(2x) = 2\cdot (kx) = 2f(x)$

And similarly

$f(3x) = k\cdot(3x) = 3\cdot (kx) = 3f(x)$

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For example, the function

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$f(2) = 2,\ f(4) = 6$

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4 years ago

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( − ∞ , ∞ )

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