Answer:
The distance of the playground is 540m
Step-by-step explanation:
Here, we are interested in calculating the length of the playground given the information in the question.
Where to attack the question from is the segment that states that he took a break after 480m and also had 2 breaks. Thus, the distance traveled would be 480 * 2 = 960 m
Now, to find the length of the track, we add the distance covered plus the distance uncovered. Mathematically that would be 960m + 120m = 1,080m
In the last part of the question, we are told that the track is twice as long as the playground. This means that the length of the playground or the distance of the playground is 1080/2 = 540 m
Answer:
{-7, 2, 8}
Step-by-step explanation:
We see that the domain is limited to three x-values: -3, 0 and 2. To find the range (which is the set of all y-values) we just need to plug-in these x-values and find the corresponding y-values.
So our equation is:
y = 3x + 2
Then we substitute for the x-values:
y = 3(-3) + 2
y = -9 + 2
y = -7
y = 3(0) + 2
y = 0 + 2
y = 2
y = 3(2) + 2
y = 6 + 2
y = 8
So our range would be {-7, 2, 8}.
C; 120 because 24x=360 so x=15. Then ABC is 8x, so 8*15=120.
Answer:
a. y = 250 (0.4)^x
b. 0.066
Step-by-step explanation:
The equation can be modeled as a geometric sequence, where the first term is 100 and the common ratio is 0.4.
y = 100 (0.4)^(x − 1)
This can also be simplified to:
y = 250 (0.4)^x
When x = 9:
y = 250 (0.4)^9
y = 0.066
The second equation is the first equation multiplied by -3. Therefore, The solution to the system of equations is all real numbers.
