Response:
It moves two units to the left and seven units upward.
Detailed explanation:
In your notation, X-2 indicates a two-unit leftward shift, while Y+7 denotes a movement of seven units upward. Essentially, you adjust your initial X and Y coordinates as indicated by the arrow on the right.
Answer:
A total of 200 students were present at the basketball game
Step-by-step explanation:
Refer to the full question shown in the attached figure
Let
x be the total number of fourth graders
y represent the total attendees at the game
It is known that
The number of game attendees is four times the number of fourth graders
Thus
The linear expression is
-----> equation A
-----> equation B
Replace equation B into equation A and solve for y
Therefore
200 students were present at the basketball event
<span>y = 2x + 20. Choice A is correct. Reasoning: Vlad first spends 20 minutes on his history assignment and then completes x math problems. Each math problem requires 2 minutes, so the time for math is 2x. Adding the two parts gives total time y = 20 + 2x, with x ≥ 0 and y ≥ 20.</span>
We are given the points
<span>E (0, 27)
</span><span>F (5,−8)
and we need to calculate the rate of change and the initial value:
To determine the rate of change, we will apply the slope formula:
m = (-8 - 27) / (5 - 0) = -7
Thus, the rate of change is -7
The initial value refers to the y-coordinate when x equals 0, which corresponds to point E. Therefore, the initial value is 27.</span>
