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Vlad1618 [11]
3 years ago
12

seth earns 7 per hour working at a library Write and solve the inequality that can be used to find how many hours he must work i

n a week to earn at least 175
Mathematics
1 answer:
densk [106]3 years ago
5 0

Answer:

7x\geq 175

x\geq25\ hour

Seth must work more than 25 hours per week

Step-by-step explanation:

Let's call x the number of hours Seth works.

Then we know that Seth earns $ 7 for every hour. Then in x hours Seth wins:

7x

To earn more than 175 then we must ensure that:

7x\geq 175

Now we solve the inequality for the variable x.

Divide both sides of the inequality by 7

\frac{7}{7}x\geq \frac{175}{7}

x\geq25\ hour

Seth must work more than 25 hours per week

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Answer:

y - 5 = \frac{3}{2}(x - 1)

Step-by-step explanation:

Note that \frac{dy}{dx} = m_{tangent}

Differentiate using the power rule

\frac{d}{dx}(ax^{n}) = nax^{n-1}

Given

y = x\sqrt{x} = x. x^{\frac{1}{2} } = x^{\frac{3}{2} }, then

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When x = 1

\frac{dy}{dx} = \frac{3}{2} . 1 = \frac{3}{2}

The equation of a line in point- slope form is

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Here m = \frac{3}{2} and (a, b) = (1, 5), thus

y - 5 = \frac{3}{2}(x - 1) ← equation of tangent

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