What is the domain of -3x^(1/3)+4x^(1/2)

1 answer:

8 0

The domain of the function would be [0, ∞)

This is because of the x^(1/2); this is the same as the square root of x. Remember: if x is under the square root, then x can't be negative because negatives do not have square roots. X can be 0, because the square root of 0 is 0, and of course it can be positive. So, x can be anywhere from 0 to infinity including 0.

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Juanita usually spends $3 more than twice her transportation costs on groceries. if x is the amount she spends on transportation

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<h3>Answer: It's a linear equation.</h3><h3>It's not a proportional relationship.</h3><h3>Juanita spend $63 on groceries if she spent $30 on transportation.</h3>

Step-by-step explanation: Given equation y=2x+3.

Where x is the amount she spends on transportation, and y is the amount she spends on groceries.

<em>We can see that given equation is in slope-intercept form y=mx+b.</em>

So, it's a linear equation and y=2x+3 is the relationship between x and y linear.

<em>Also, a linear linear equation represents a proportion relationship if y-intercept is 0.</em>

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Therefore, it's not a proportional relationship.

Now, in order to find how much would Juanita spend on groceries if she spent $30 on transportation, we need to plug x= 30 in given equation.

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y = 2(30) +3 = 60+3 = 63.

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