Answer:
Step-by-step explanation:
Let the first term is a and common difference is d.
<u>The nth term is:</u>
<u>We have:</u>
<u>The difference of these terms is:</u>
- (a + 8d) - (a + 5d) = 16 - 15
- 3d = 1
- d = 1/3
<u>Then the first term is:</u>
- a + 5*1/3 = 15
- a = 15 - 5/3 = 13 1/3
<u>The nth term equation is:</u>
- aₙ = 13 1/3 + 1/3(n - 1) = 1/3n + 13
<u>If the nth term is 22, find n:</u>
- 1/3n + 13 = 22
- 1/3n = 22 - 13
- 1/3n = 9
- n = 9*3
- n = 27
Answer:
In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named the "slope-intercept form".
Step-by-step explanation:
X = shorts and y = socks
2x + 3y = 33
x + 5y = 27.....multiply by -2
------------
2x + 3y = 33
-2x - 10y = - 54 (result of multiplying by -2)
------------------add
-7y = - 21
y = -21/-7
y = 3
x + 5y = 27
x + 5(3) = 27
x + 15 = 27
x = 27 - 15
x = 12
so shorts (x) cost $12 and socks (y) cost $ 3 per pack
There's probably a mistake in the problem; as written the answer is none of the above.
We have slope from the first two points of (4-2)/(0-4) = -1/2 and a y intercept from the second point of 4 so
f(x) = (-1/2) x + 4
maybe that's the third choice; forgot the fraction bar.
