-4(x + 1) + 7x = 8
-4x - 4 + 7x = 8
3x - 4 = 8
3x = 8 + 4
3x = 12
x = 12/3
x = 4 <===
Answer:

Step-by-step explanation:
The range of the sine and cosine functions is
.
This means that the maximum value the basic sine and cone functions is 1 and the minimum value is -1.
This means that the two functions are bounded above and below.
The correct answer is B.
Answer:
1:3
3:9
5:15
25:75
30:90
35:105
Step-by-step explanation:
Multiply the number of students by 3
We know that:
Cost (Cranberry Juice): 6.3 per quart
Cost (Apple Juice): 3.6 per quart
Quantity (Apple Juice): 4 quarts
Quantity (Cranberry Juice): q quarts
Further we know that Terrence wants the cost of the juice to be 4.5 per quart
Hence Total Cost = Cost per quart × Total Number of quarts = (Cost per quart for Apple Juice × Total Number of Apple Juice Quarts) + (Cost per quart for Cranberry Juice × Total Number of Cranberry Juice Quarts)
⇒ Total Cost = 4.5 × (q+4) = 6.3 × q + 3.6 × 4
⇒ 4.5(q+4) = 6.3q + 14.4, which matches with option D
Hence, the correct option is D