The next number is 31.
3 + 1 = 4
4 + 2 = 6
6 + 3 = 9
9 + 4 = 13
13 + 5 = 18
18 + 6 = 24
24 + 7 = 31
The slope is the change in Y over the change in x:
Slope = (0-1) / 4-0) = -1/4
Slope = -1/4
Y intercept is the Y value when x is equal to 0. In the point (0,1) x is 0 and y is 1, so the y-intercept is 1
F(x) = 3x⁵ + 6x⁴ - x - 3
The coefficient of a function f(x) is the number that multiplies the x with the highest exponent., that is 3. Answer a)
Expanded: 8.000 + .500 + .010 + .007
Word Form: eight ones, five tenths, one hundredth, seven thousandths
Hope this helps!