Answer:
Step-by-step explanation:
Answer:3/8
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
We have the coordinates (6, 3) and (8, 4), allowing us to calculate the slope (or gradient). To do this, you divide the change in y by the change in x, which is 1/2 which is a half.
The form of a linear equation is y = mx + c, where m is the gradient and c is the y-intercept.
We have the gradient, so we can put it in the equation:
y = x/2 + c
We can now substitute in a pair of our coordinates and rearrange to find the y-intercept.
3 = 6/2 + c
3 = 3 + c
c = 0
Therefore the equation for our line is y = x/2.
We can now put in the y coordinate we were given to work out the corresponding x coordinate:
-2 = x/2
x = -4
Therefore n is -4.
Answer:
-17
Step-by-step explanation:
first find g(5) = -2(5)+5 = -5
then f(-5) = 4(-5)+3 = -17
Based on these first few terms, we can deduce that the next term is computed by switching the sign of the previous one, and multiplying it by 3: we start with -1, we switch the sign (1) and multiply by 3 (3); then again we switch the sign (-3) and multiply by 3 (-9), and so on.
Since switching sign is the same as multiplying by -1, we can compute every next term by multiplying the previous one by -3:
So, the recursive formula is
because it states precisely that the next term is -3 times the previous one.
