A bag contains 15 dark chocolates, 16 caramel chocolates, and 19 milk chocolates. The probability that Amber’s teacher distribut

Response:

Move 2 units to the left

Reflect the graph across the y-axis

Expand horizontally by a factor of 2

Lift vertically by 2 units

Detailed explanation:

Provided:

Basic function:

Transformed function:

Extract -2 from the transformation function f(x)

Now, we can observe the step-by-step transformations

Move 2 units to the left ( x → x+2 )

Reflect the graph across the y-axis ( (x+2) → - (x+2) )

Expand horizontally by a factor of 2 [ -x(x+2) → -2(x+2) ]

Lift vertically by 2 units [ f(x) → f(x) + 2 ]

Simplifying the function:

Thus, applying four transformation steps results in the new function

Essentially, any non-repeating number found between 31.5 and 31.6 would suffice.

Examples include: 31.51, 31.52, 31.568, 31.599

I suggest 31.55 since it’s straightforward and can be expressed as the fraction: 361/20

Response:

vffnxntbdnr Gn fvbbvxgngdfg

To tackle this issue, we need to clarify what each variable stands for. Here, n indicates the number of pencil packages purchased by Yolanda, while m represents the number of paper pads she buys. We calculate the total cost by multiplying these variables by their individual prices, which helps us determine the expense for both pencil packages and pads of paper.

The expression "1.4n" indicates the overall cost for n pencil packages.

On the other hand, "1.2m" signifies the complete expense for m pads of paper.

As we sum these two expressions, the resulting total reflects the overall expenditure for both items.

The equation "1.4n + 1.2m" summarizes this calculation.

I hope this provides clarity!