I see that the amount i owe has been reduced from $90.00 to $75.00."

Answer:

Sarah purchased 2 drinks and 6 candies.

Step-by-step explanation:

Let

x ----> the quantity of drinks Sarah bought.

y ----> the number of candies acquired by Sarah.

We know that

the total spent on drinks and candies was $35.50

therefore,

-----> equation A

She bought 3 times more candies compared to drinks.

thus,

-----> equation B

To resolve the equations graphically

The solution lies at the intersection of the two graphs

utilizing a graphing tool

The result is the coordinate (2,6)

therefore,

Sarah bought 2 drinks and 6 candies.

Answer:

m = - 3

Step-by-step explanation:

a³ + 27 can be recognized as a sum of cubes, which factors generally as

a³ + b³ = (a + b)(a² - ab + b²). Therefore:

a³ + 27

= a³ + 3³

= (a + 3)(a² - 3a + 9).

By comparing a² - 3a + 9 to a² + ma + 9, we find that

m = - 3.

Given:

The temperature recorded at 10:00 am is 8 degrees Fahrenheit.

The temperature decreases by 3 degrees Fahrenheit each hour.

To find:

The temperature at 2:00 pm on the same day.

Solution:

Let y represent the temperature after x hours since 10:00 am.

The temperature at 10:00 am serves as the initial temperature.

Thus, the y-intercept of the linear equation is 8.

The temperature reduces by 3 degrees Fahrenheit every hour.

This indicates the slope of the linear equation is -3, with the negative sign indicating a decrease.

The slope-intercept form of a linear function is indicated by

where m is the slope and b is the y-intercept.

Inserting m=-3 and y=8 into the above equation gives us the required values.

From 10:00 am to 2:00 pm spans 4 hours; therefore, substitute x=4 into the above equation.

Consequently, the temperature at 2:00 pm is -4 degrees Fahrenheit.

Answer: 5 Cans

Step-by-step explanation:

The function is applicable within the segments of x:
(-∞, -1) and [-1, 7), meaning it is valid for x < 7.

Importantly,
the function cannot be evaluated at x = -1 in the left part of the linear graph, while it is valid at x = -1 in the right segment of the same line. Additionally, the function is not defined at x = 7 or any value above it.

Conclusion: x < 7.