Answer:
y = (-8/9)x + 0.77777
Step-by-step explanation:
We already know the slope, so the only thing left to find is the y-intercept.
To find the y-intercept, we can <u>plug in the slope and point to the slope-intercept form equation</u> (y = mx+b, where m=slope and b=y-int.)
y = m * x + b
(7) = (-8/9)*(-7) + b
<u>Now, just solve for b!</u>
(7) = (-8/9)*(-7) + b
7 = 56/9 + b
7 - (56/9) = b
b = 0.777777 (repeating decimal, usually signified by a little line above the 7)
so now we just <u>plug in the slope and y-intercept we found into y = mx + b.</u>
y = mx + b
y = (-8/9)x + 0.77777
Answer:
Step-by-step explanation:
Given that , the sum of the first nine terms of an arithmetic series is 162 and the sum of the first 12 terms is 288.
<h3>
<u>Related</u><u> </u><u>Infor</u><u>mation</u><u> </u><u>:</u><u>-</u><u> </u></h3>
• The sum of n terms of an AP is
![\boxed{\orange{\sf S_n = \dfrac{n}{2}[2a+(n-1)d] }}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Corange%7B%5Csf%20S_n%20%3D%20%5Cdfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D%20%7D%7D)
• nth term of an AP is given by ,
Answer:
He bought approximately 16 pigs.
Step-by-step explanation:
In order to find how many pigs the farmer had originally all you have to do is add three to amount of pigs he sold, since three of the died. In order to find how many he sold all you need to do is divide 109 by 8, since he made a profit of $8 per pig. 109 / 8 = 13.625, 13.625 + 3 = 16.625
Answer:
c = 3√5 ≈ 6.708
Step-by-step explanation:
Use the Pythagorean Theorem because this is a right triangle.
a^2 + b^2 = c^2
3^2 + 6^2 = c^2
9 + 36 = c^2
45 = c^2
√45 = c
<u>c = 3√5 ≈ 6.708</u>
