What is the solution to the system of equations graphed below?

Answer:

graph representing the function f of x equals 30 multiplied by 0.88 raised to the exponent of x

Step-by-step explanation:

The deodorant starts to evaporate, indicating a mass reduction, thus 12% represents the decay rate. In exponential decay, the function's graphical representation adheres to the formula:

Where signifies the starting quantity (), is the decay rate () and denotes the time intervals, measured in days for this case. By inserting the given values into the formula:

Which aligns with the "graph representing the function f of x equals 30 multiplied by 0.88 raised to the exponent of x".

The last part of the question is asking;

What was the total amount spent by all (99.7%) students on textbooks in a semester?

Response:

almost all (99.7%) of the students spent between $165 and $315 on textbooks in a semester.

Stepwise clarification:

The standard deviation rule informs that for normally distributed data, approximately 99.7% of observations fall within three standard deviations from the mean.

In this case, we have the given mean as 240, and standard deviation as 25

Thus, calculating three standard deviations below the mean: Mean - 3(standard deviation)

equals 240 - (3 × 25)

yielding 240 - 75 = 165

Now, for three standard deviations above the mean: Mean + 3 (standard deviation) = 240 + (3 × 25)

equals 240 + 75 = 315

Therefore, nearly all (99.7%) of the students spent between $165 and $315 on textbooks in a semester.

Answer:

A) The total duration needed to paint the room is 50 minutes.

B) To paint 64% of the room takes 32 minutes.

Step-by-step explanation:

Given as:

After 18 minutes, 64% of the room still requires painting.

Therefore, within 18 minutes, (100% - 64% = 36%) of the room has been painted

Let T minutes be the total time required to paint the entire room.

Now, according to the question

A ) Using the unitary method

∵ In total, 36% of the room is covered in 18 minutes

Thus, in total time of minutes, 1% of the complete room is painted.Consequently, 100% of the room would be painted in × 100 minutes

i.e T =

Thus, T = 50 min

Therefore, the duration needed to paint the entire room = T = 50 minutes

Thus, the time required to finish painting the entire room is 50 minutes. Answer

B) Again

Time taken to paint 64% of the room = x minutes

∵ 36% of the room has been painted in a total of 18 minutes

Thus, 1% of the entire room gets painted in minutes

Consequently, painting 64% of the room will take × 64 minutes

i.e x =

Thus, x = 32 min

Therefore, the required time for painting 64% of the entire room = x = 32 minutes

Thus, the time required to paint 64% of the room amounts to 32 minutes. Answer

La respuesta es 4,13 al problema.

Y = 6 Here’s a step-by-step explanation: On the initial day of ticket sales, the school sold 3 adult tickets and 8 student tickets for a total of $72. On the following day, the school collected $152 from 7 adult tickets and 16 student tickets. What is the price of a student ticket? Day 1: 3x + 8y = 72 Day 2: 7x + 16y = 152 This leads to a system of equations. By manipulating these equations, we find: Ultimately, y = 6. If you wish to continue from this point, substituting y into the equation will give the value for x.