Answer:
a)
b)
c) term number 17 is the one that gives a value of 40
Step-by-step explanation:
a)
The sequence seems to be arithmetic, and with common difference d = 3.
Notice that when you add 3 units to the first term (-80, you get :
-8 + 3 = -5
and then -5 + 3 = -2 which is the third term.
Then, we can use the general form for the nth term of an arithmetic sequence to find its simplified form:
That in our case would give:
b)
Therefore, the term number 20 can be calculated from it:
c) in order to find which term renders 20, we use the general form we found in step a):
so term number 17 is the one that renders a value of 40
Answer:
Step-by-step explanation:
(x1,y1)=(2,5)
(x2,y2)=(6,0)
using formula
slope=y2-y1/x2-x1
=0-5/6-2
=-5/4
therefore slope=-5/4
Work:
Multiply a and 7
Multiply a and 1
The a just gets copied along.
7*a evaluates to 7a
8+7*a evaluates to 8+7a
8 + 4 = 12 which goes to 12+7a
(8+7*a)+4 evaluates to 12+7a
***The final answer is 12+7a***
Answer:
Line D
Step-by-step explanation:
Slope of a line passing through and is given by,
m =
Slope of line A passing through (-6, 3) and (0, 0)
m =
Negative and m < 1
Slope of line B passing through (-2, 4) and (0, 0)
m =
Negative and m < 1
Slope of line C passing through origin and (2, 5),
m = = 2.5
Positive and m > 1
Slope of line D passing through origin and (3, 2)
m =
Positive but m < 1
Therefore, Line D will be the answer.