Answer:
The rate of change of Paolo Portraits is $15 per photo and the rate of change of clear image studio is $12 per photo. Paolo Portraits charges are higher than the clear image studio.
Step-by-step explanation:
The rate of change represent the change in one variable with respect to another variable. It also known as slope.
It is given that Paolo Portraits charges $15 per photo with no sitting fee. It means the rate of change of Paolo Portraits is $15 per photo.
The function for Paolo Portraits charges is defined as
![f(x)=15x](https://tex.z-dn.net/?f=f%28x%29%3D15x)
From the given graph it is noticed that the line is passing through the points (0,0) and (1,12).
The slope of the line is
![m=\frac{y_2-y_1}{x_2-x_1}=\frac{12-0}{1-0}=\frac{12}{1}=12](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%3D%5Cfrac%7B12-0%7D%7B1-0%7D%3D%5Cfrac%7B12%7D%7B1%7D%3D12)
The function for clear image studio is
![g(x)=12x](https://tex.z-dn.net/?f=g%28x%29%3D12x)
It means the rate of change of clear image studio is $12 per photo.
The rate of change of Paolo Portraits is more than rate of change of clear image studio.
Therefore Paolo Portraits charges are higher than the clear image studio.
Answer:
12x
Step-by-step explanation:
It has no exponent so it is not a polynomial
Tge answer is 598,802.395 because if you put it into tge calculator you should get this answer
Answer: 6i) 6a² - 2ab
6ii) -2b³
6iii) b³ + 7b² - 49b
<u>Step-by-step explanation:</u>
6i) (a + b)(5a - 3b) + (a - 3b)(a - b)
= 5a² - 3ab + 5ab - 3b² + a² - ab - 3ab + 3b²
= 5a² + 2ab - 3b² + a² - 4ab + 3b²
= 6a² - 2ab
6ii) (a - b)(a² + b² + ab) - (a + b)(a² + b² - ab)
= a³ + ab² + a²b - ab² - a²b - b³ - (a³ + ab² - a²b -ab² + a²b + b³)
= a³ - b³ - (a³ + b³)
= a³ - b³ - a³ - b³
= -2b³
6iii) (b² - 49)(b + 7) + 343
= b³ + 7b² - 49b - 343 + 343
= b³ + 7b² - 49b
You are allowed a maximum of 3 questions.
Please post #7 on a different question.
Answer:
The 75th term in the sequence is 16
Step-by-step explanation:
The 75th term of a sequence can be considered as the term that is in the position at 75% along the sequence. This is assuming that the sequence has been sorted already from lowest value to highest value
In this sequence, which has 4 terms, we can find the 75th term by finding what term is at 75% (or three-quarters) along the sequence.
To find the 75th term:
Multiply the number of terms by 0.75 (or 75%/100%) :
0.75*4 terms= 3
Then, we find the value of the term that is at position 3 from the left (lowest number)
In this case, the term that is at the 3rd position from the left is 16
Thus, the 75th term in the sequence is 16