The next number in the sequence is 36.
Starting from 1, the number increases by 3, 1 + 3 = 4. But the next number, the number it's being increased by increases by 2. 3 + 2 = 5, 4 + 5 = 9. And again, 5 + 2 = 7, 7 + 9 = 16. And again. 7 + 2 = 9, 16 + 9 = 25. Therefore, it is increased to + 11, and the next number is 36.
I hope this helped, and you have a great day!
Answer:
a.- slope= 36
Interpretation : The cable car travels 36 meter per minute
b.- y = 36x + 100
c.- 640 meters
Step-by-step explanation:
a.-
Find slope using the slope formula : 
Plug in the two given points: 
Subtract the numbers : 
Reduce the fraction : 36
b.-
Using the given y-interspet (100) and the slope create an equation: y = 36x + 100
c.-
Using the equation you created plug in 15 for x to find the
distance: y = 36 (15) + 100
Multiply the numbers : y = 540 + 100
Add the numbers : y = 640
Answer:
(-1/2,1/2)
Step-by-step explanation:
Normally for sinx amplitude is 2 (1 +1). In the case when it is half sine amplitude is halved, therefore 0.5 +0.5 = 1 Paramers alpha = 2x does not matter because it only stretches the graph horizontally.
hope it helped

function g has to be the transformation of function f. Therefore,

is the answer.