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2 years ago

How is solving a problem about constant speed similar to solving a problem about unit price?

Mathematics

1 answer:

DochEvi [55]2 years ago

6 0

Unit price means divide. And a speeding is a problem that you do in class.

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Adelaide paid $35 for a manicure and gave the manicurist a 20% tip.

Inessa05 [86]

She paid $42 dollars in total.

3 0

2 years ago

Determine the domain and range of the function f(x)= 3x+2. Also, state the intervals where the function f(x)= 3x+ 2 is increasin

aev [14]

Answer:

Increasing on it's domain $(-\infty,\infty)$ because the slope is positive.

The domain and range are both all real numbers, also known as

$(-\infty,\infty)$ .

Step-by-step explanation:

All domain really means is what numbers can you plug in and you get number back from your function.

I should be able to plug in any number into 3x+2 and result in a number. There are no restrictions for x on 3x+2.

The domain is all real numbers.

In interval notation that is $(-\infty,\infty)$ .

Now the range is the set of numbers that get hit by y=3x+2.

Well y=3x+2 is a linear function that is increasing. I know it is increasing because the slope is positive 3. I wrote out the positive part because that is the item you focus on in a linear equation to determine if is increasing or decreasing.

If slope is positive, then the line is increasing.

If slope is negative, then the line is decreasing.

So y=3x+2 hits all values of y because it is increasing forever. The range is all real numbers. In interval notation that is $(-\infty,\infty)$ .

3 0

3 years ago

A bus is traveling at a constant speed. If the bus trvaels 15 1/2 miles in 1/3 of an hour, how many miles will the bus travel in

Dima020 [189]

Answer:

46.5

Step-by-step explanation:

convert 15 1/2 to 15.5

multiply it by 3 because it moves 15.5 milea every 1/3 of an hour

5 0

2 years ago

Which of the following illustrates how to find the difference of 4h^5k and -7hk^5

MrRa [10]

Answer:

Not possible

Step-by-step explanation:

Which of the following illustrates how to find the difference of 4h^5k and -7hk^5

Takig the difference

4h^5k - (-7hk^5)

= 4h^5k +7hk^5

Collect the like terms

= hk(4h^4+7k^5)

Hence the difference is not possible

7 0

2 years ago

Abigail tosses a coin off a bridge into the stream below. The distance, in feet, the coin above the water is modeled by the equa

melomori [17]

Answer:

7 seconds

Step-by-step explanation:

Distance of the coin above the water is modeled by the equation

$y=-16x^2+96x+112$

where $x$ is time taken to cover the distance

Now equating with zero.

$0=-16x^2+96x+112\\\Rightarrow 16x^2-96x-112=0\\\Rightarrow x=\dfrac{-\left(-96\right)\pm \sqrt{\left(-96\right)^2-4\times \:16\left(-112\right)}}{2\times \:16}\\\Rightarrow x=7, -1$

So, time taken by the coin to hit the water is 7 seconds.

6 0

2 years ago