Answer:
Point B
Step-by-step explanation:
Lines given:
- y= 2/5x - 1/2
- y= -1/3x +2/3
x coordinate of intersection of given lines is:
- 2/5x - 1/2= -1/3x+2/3
- 2/5x+1/3x= 2/3 +1/2
- 6/15x+5/15x= 4/6+3/6
- 11/15x=7/6
- x= 7*15/11*6
- x= 35/22
For this value of x, the value of y is:
- y= 2/5*35/22 - 1/2
- y=14/22- 1/2
- y= 3/22
As per graph point (35/22, 3/22) is point B
-15/-21 -14/x
-15x = -21 * -14
x = -19.6
answer -14c = -19.6 or about -20
answer 3c = .6 or about 1
formula would be
y= 1.2x -3
partial variation means the line doesn't go through (0,0)
4 option is incorrect which is EDCFGA
Hey there the answer would be 300 minutes
We need the first term. Replace n with 1 and simplify
a_n = (5/6)*(n+(1/3))
a_1 = (5/6)*(1+(1/3))
a_1 = (5/6)*( (3/3) + (1/3) )
a_1 = (5/6)*( 4/3 )
a_1 = (5*4)/(6*3)
a_1 = 20/18
a_1 = 10/9
Now we need the 58th term.
Repeat the steps done above, but now use n = 58
a_n = (5/6)*(n+(1/3))
a_58 = (5/6)*(58+(1/3))
a_58 = (5/6)*( (174/3) + (1/3) )
a_58 = (5/6)*( 175/3 )
a_58 = (5*175)/(6*3)
a_58 = 875/18
Next, add up the first and last terms of the sequence we want. So add up a_1 and a_58
a_1 + a_58 = (10/9) + (875/18)
a_1 + a_58 = (20/18) + (875/18)
a_1 + a_58 = (20+875)/18
a_1 + a_58 = 895/18
Multiply this result by n/2 where n = 58
n/2 = 58/2 = 29
(n/2)*(a_1+a_58) = 29*(895/18)
(n/2)*(a_1+a_58) = 25955/18
The answer I'm getting is 25955/18
Because this answer is not listed, I'm thinking there must be a typo somewhere. Please update the problem.