$y = \frac{-1}{5}x - 4\\\\Plugin x = 0 , y = 0 - 4\\\\ y = -4\\\\(0 , -4)\\\\Plugin x = 5, y =\frac{-1}{5}*5-4 = -1-4=-5\\\\(5 , -5)\\\\Plugin x = -5, y =\frac{-1}{ 5}*(-5)-4=1 - 4 = -3\\(-5, -3)$

Plot the points(0 ,-4) , (5 , -5) and (-5 , -3 ) in the graph and join the points.

5 0

3 years ago

Find the first term, a1, of an arithmetic sequence if a12 = 38 and a45 = 170.

snow_lady [41]

Standard formula for arithmetic sequence:
an = a0 + d(n-1)

if we use the two terms given, setting a12 as starting term and a45 as the end term an.

170 = 38 + 33d
170 - 38 = 33d
132 = 33d

132/33 = d
This is the common difference, use it to find the first term.

38 = a0 + (132/33)(12-1)
38 = a0 + (132/33)(11)
38 = a0 + 132/3
38 - 132/3 = a0
38 - 44 = a0
-6 = a0

The starting term is -6

8 0

3 years ago

Gwen studies for 1.5 hours every night. What is the total number of hours Gwen studies for 5 nights

Darina [25.2K]

1 and 1/2 hours each night
1+1+1+1+1= 5
1/2+1/2+1/2+1/2+1/2= 2.5
5+2.5= 7.5
7.5 hours or & and a half
hope this helps
~L

6 0

3 years ago