For every 1 litre of water used to make a medicine, 199ml of sucrose and 271ml of saline solution are used. Express the amount o

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

The correct answers are 0, 5, and 8. Clearly, having negative bags isn't feasible. Additionally, 10 is not possible since the balloon has a weight limit.

<span>Considering the visitor count is likely rounded to the nearest hundred thousand, the precise figure could range from 350,000 to 449,999. If rounded to the nearest ten thousand, it would be between 395,000 and 404,999.</span>

Response:

The graph in question is linked to g(x) = -2x, though it is not provided.

Detailed explanation:

A reflection across the y-axis changes the sign of the x-coordinate for every point. To derive the new function, we substitute x with -x:

g(x) = f(-x) = 2(-x) = -2x

This leads us to g(x) = -2x.

C. -31m⁴n - 8m²Step-by-step explanation:Given:(9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn)Required:Identify an equivalent expression for itSolution:Distributing the negative sign across the parentheses results in:9mn - 19m⁴n - 8m² - 12m⁴n - 9mnNext, we combine like terms:9mn - 9mn - 19m⁴n - 12m⁴n - 8m²This simplifies to -31m⁴n - 8m²Thus, -31m⁴n - 8m² is the equivalent expression for (9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn).