The -4 will translate the graph of f(x) 4 units to the right.
Then the -2 before the x will stretch it vertically with factor 2, then reflect it in the y -axis.
Finally the + 5 will translate the graph 5 units vertically upwards
Answer: [0, 396]
Step-by-step explanation:
The domain is the acceptable values of x in the function. In this case, x = t, the number of tiles. If you think about it, the minimum number of tiles is 0 (you can't have a negative number of tiles), and the maximum number of tiles is 44 (you only have 44 tiles). So, the domain for this function is from 0 to 44.
0 to 44 written in interval notation is [0,44].
The range is the acceptable values of y in the function. In this case, y = A, the area given. A(t) = 9t, so you can use the acceptable values of t to get the range. Again, the minimum area is 0 because you can't have negative area. To find the maximum area, plug in the maximum number of tiles: 9.
A(t) = 9t
A = 9(44)
A = 396
With the maximum number of tiles, 44, the area you get is 396 cm². Therefore, the acceptable values of A are from 0 to 396.
0 to 396 written in interval notation is [0, 396].
Answer:
The answer would be 1.33 x 
Step-by-step
1.28 x = 12800
5 x 
= 500
12800 + 500 = 13300
13300 = 1.33 x in scientific notation
Hope this helps:)
Sorry, I got the wrong answer earlier but I fixed it:)
Using cosine rule, the length of the required side = sqrt(32^2 + 35^2 - 2 x 32 x 35cos 120)
= sqrt(1024 + 1225 - (-1120))
= sqrt(2249 + 1120)
= sqrt(3369)
= 58.04
