Answer:
x=28
Step-by-step explanation:
We can use similar triangles and proportions to solve this problem. Put the side of the small triangle over the same side of the larger triangle.
x 42
---------- = ----------
x+10 42+15
Simplify
x 42
---------- = ----------
x+10 57
Using cross products
57x = 42 (x+10)
Distribute
57x = 42x+420
Subtract 42x from each side
57x-42x = 42x-42x +420
15x = 420
Divide each side by 15
15x/15 = 420/15
x=28
Answer/Step-by-step explanation:
✔️As a set of order pairs, the mapping can be represented as (x, y), where x = input and y = output.
Thus:
{(1, 6), (2, 6), (3, 6), (4, 8)}
✔️As a table we have input as x, and y as output, such as:
x | y
1 | 6
2 | 6
3 | 6
4 | 8
Its the last option because anything between 0 to 1 would he smaller than the original
20. Because the tickets must have different points of origin, only 1 ticket can be sold per stop.
9514 1404 393
Answer:
f(x) = sin(0.62832(x +1))
Step-by-step explanation:
The period of the function is the difference between x=4 and x=-6, which is 10 units. Then the horizontal scaling needs to be such that when x changes by 10, the argument of the sine function changes by 2π. That scaling will make it ...
f(x) = sin(2π(x/10)) = sin(πx/5)
The upward zero-crossing is seen to be at -1, so this function has been shifted left 1 unit. This requires we replace x with x+1:
f(x) = sin(π/5(x +1))
If we use the given numerical value for pi, this becomes ...
f(x) = sin(0.62832(x +1))
