Answer: See explanation
Step-by-step explanation:
To determine how many boxes of sugar Alonso can purchase, we can express the scenario as follows:
= 2.75 + 11.50S ≤ 55
Expanding this gives us:
2.75 + 11.50S ≤ 55
11.50S ≤ 55 - 2.75
11.50S ≤ 52.25
S ≤ 52.25 / 11.50
S ≤ 4.54
Thus, he is able to buy 4 boxes of sugar.
Answer: OPTION B
Step-by-step explanation:
The red graph depicts the fundamental form of a quadratic function (the most basic version), with its vertex located at the origin.
The function g(x) results from moving the parent function 2 units to the right and 1 unit upwards.
As a consequence, considering this, the transformation takes the following structure:

The horizontal displacement is dictated by the value of h, while the vertical shift is determined by k.
<pThus, the resulting function is:

Starting with the equation Y - 4x = 7, we can express y as y = 4x + 7. Now, substitute this expression into the second equation 2y + 4x = 2:
2(4x + 7) + 4x = 2,
which simplifies to 8x + 14 + 4x = 2. After that, we gather like terms:
12x = 2 - 14,
yielding 12x = -12, hence x = -1. Plugging x into the equation y - 4(-1) = 7 also reveals:
y + 4 = 7,
which gives y = 3. Thus, the solution arrives at (-1, 3).
Answer:
B. The triangle.
Step-by-step explanation:
The number of sides decreases by one as you progress down the list.