Write an inequality that represents the following:

Mathematics

1 answer:

Scilla [17]3 years ago

6 0

Answer:

The maximum number of hours can be spend on work is 4 hours

Step-by-step explanation:

Given as :

The fixed charge of an auto shop = $100

The labor charge of auto shop = $175 per hour

The maximum money to be spend = $800

Let The maximum number of hours can be spend on work = n hours

<u>According to question</u>

The maximum money to be spend = fixed charge of an auto shop + labor charge of auto shop per hour × maximum number of hours

Or, $800 = $100 + $175 × n

Or, $175 × n = $800 - $100

Or, $175 × n = $700

∴ n = $\frac{700}{175}$

i.e n = 4

So, The maximum number of hours can be spend on work = n = 4 hours

Hence, maximum number of hours can be spend on work is 4 hours Answer

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Arthur drops a ball from a height of 81 feet above the ground. Its height, h, is given by the equation h = –16t2 + 81, where t i

Lorico [155]

Answer:

Step-by-step explanation:

We are given the position function and need to find the value of t when h<17.

Create an inequality that represents this situation:

$-16t^2+81$ The "less than" sign makes this very specifically a conjunction problem as opposed to a disjunction. That's important to the solution. But we'll get there.

The simplest way to solve this is to subtract 81 from both sides:

$-16t^2$ then divide both sides by -16:

$t^2>4$ Notice now that the sign is facing the other way since we had to divide by a negative number. Now it's a disjunction. The solution set to this inequality is that t>2 or t<-2. First and foremost, time will never be negative, so we can disregard the -2. Even if that was t<2, the more time that goes by, the greater the time interval is, not the lesser. It's the "<" that doesn't make sense, not only the -2. The solution to this inequality is