The points of the graph are> (1,1), (2,2), (3,4), (4,8).
Then the sequence is:
- for the x-coordinate: 1, 2, 3, 4, 5, 6, 7, ...
- for the y-coordinate: 1, 2, 4, 8, which is: 2^0, 2^1, 2^2, 2^ 3, ... so the next y-coordinates are 16, 32, 64, 128, ...
So, the sequence is: 1, 2, 4, ,8, 16, 32, .... 2^x.
If f(x) = (2x+9)^3, f '(x) = 3(2x+9)^2*(2), or f '(x) = 6(2x+9)^2. Here we used the power rule with chain rule to find the derivative.
Y = 4/5x + 30
4/5 because the slope is 4 up, 5 right. 30 is the y-int
To convert -34º C to Fahrenheit, plug the temperature in Celsius in the formula and solve.
F = 9/5C + 32
F = 9/5(-34) + 32
To solve this you must first multiply.
9/5 • -34 = -61.2
F = -61.2 + 32
Now add.
-61.2 + 32 = -29.2
The answer is -34º C equals -29.2º F.
Hope this helps!