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2 years ago

The function h(x) is given below.

Mathematics

1 answer:

Elina [12.6K]2 years ago

5 0

Answer: Option (2)

Step-by-step explanation:

The inverse of a function swaps the domain and range.

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A hiker climbs a 5-mile trail up a mountain in 2 hours. On the return trip downhill, she walks the same trail and returns to her

Ivahew [28]

Answer:

3.33 miles per hour

Step-by-step explanation:

The total distance traveled by the hiker is 5 * 2 = 10 miles, and the total time travelled is 2 + 1 = 3 hours.

So, to find the average speed of the entire trip, we can use the formula:

distance = speed * time

With distance = 10 and time = 3, we have:

10 = speed * 3

speed = 10/3 = 3.33 miles per hour.

7 0

3 years ago

Which values of

I am Lyosha [343]

83x + P = 83x + Q <em>subtract 83x from both sides</em>

P = Q

The equation has no solution for P different Q (P ≠ Q).

7 0

3 years ago

Alberto ran a race at a speed of 9 meters per second. Omar had a 6 meter head start and ran at a speed of 7 meters per second. B

zloy xaker [14]

Answer: Alberto run 27 meters.

Time taken By Alberto=3 seconds

Step-by-step explanation:

Let d be the distance Alberto ran to catch Omar.

Then, distance ran by Omar=x-6

Also, $\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

Since, both started running at the same time.

Time taken By Alberto= $\frac{x}{9}$

Time taken By Omar= $\frac{x-6}{7}$

Now, at the point they meet time taken by both is equal.

$\frac{x}{9}=\frac{x-6}{7}\\\Rightarrow\ 7x=9(x-6)\\\Rightarrow7x=9x-54\\\Rightarrow9x-7x=54\\\Rightarrow\ 2x=54\\\Rightarrow\ x=27$

Hence, Alberto run 27 meters.

Time taken By Alberto= $\frac{27}{9}$ =3 seconds

6 0

3 years ago

Why does the highest percent profit occur with the smallest annual interest rate?

anzhelika [568]

Answer:

This is so because the higher the interest rate the lower the profit and the higher the total expenses and the percentage profit = (Profit/Expenses) × 100

Step-by-step explanation:

Question;

It is desired to find out the monthly percentage profit made to help decide the best loan option

Part A

Given that the monthly operating cost of the gym is 5,000 and the monthly sales is 7,500

Let 'I' represent the monthly interest paid on the loan, we have;

The percentage profit = Profit/(Total expenses) × 100

The total expenses = I + 5000

Profit = Sales - The total expenses

∴ Profit = 7,500 - (I + 5,000) = 2,500 - I

The percentage profit, P = (2,500 - I)/(5,000 + I) × 100

Therefore, as the interest rate becomes smaller, the numerator of the function for the percentage profit approaches its maximum value of 2,500 and the denominator approaches the minimum value of 5,000 and the percentage profit therefore, approaches the maximum value

Therefore;

The highest percentage profit occurs at the smallest interest rate.

4 0

3 years ago

Do question 40 please i need help show your work please i need help so bad

zimovet [89]

So 15% is out of 100%, and the cab company has sent 30 cabs out of x?(x is the total number of cabs). $\frac{15}{100} = \frac{30}{x}$

So, by setting up that data we already know, we can make this equation to figure out how many cabs total the company actually has:

<span>15x = 100 * 30
</span>
We do the multiplication on the right side

15x = 3000

And divide to isolate the "X" variable

x = 200

So, the cab company has 200 cabs total, and they sent out 30 of them.

3 0

3 years ago

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