Answer:
The sum of the first twenty-seven terms is 1,188
Step-by-step explanation:
we know that
The formula of the sum in arithmetic sequence is equal to
![S=\frac{n}{2}[2a1+(n-1)d]](https://tex.z-dn.net/?f=S%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a1%2B%28n-1%29d%5D)
where
n is the number of terms
a1 is the first term
d is the common difference (constant)
step 1
Find the common difference d
we have
n=7
a1=-8
S=28
substitute and solve for d
![28=\frac{7}{2}[2(-8)+(7-1)d]](https://tex.z-dn.net/?f=28%3D%5Cfrac%7B7%7D%7B2%7D%5B2%28-8%29%2B%287-1%29d%5D)
![28=\frac{7}{2}[-16+(6)d]](https://tex.z-dn.net/?f=28%3D%5Cfrac%7B7%7D%7B2%7D%5B-16%2B%286%29d%5D)
![8=[-16+(6)d]](https://tex.z-dn.net/?f=8%3D%5B-16%2B%286%29d%5D)
![8+16=(6)d](https://tex.z-dn.net/?f=8%2B16%3D%286%29d)
![d=24/(6)=4](https://tex.z-dn.net/?f=d%3D24%2F%286%29%3D4)
step 2
Find the sum of the first twenty-seven terms
we have
n=27
a1=-8
d=4
substitute
![S=\frac{27}{2}[2(-8)+(27-1)(4)]](https://tex.z-dn.net/?f=S%3D%5Cfrac%7B27%7D%7B2%7D%5B2%28-8%29%2B%2827-1%29%284%29%5D)
![S=\frac{27}{2}[(-16)+(104)]](https://tex.z-dn.net/?f=S%3D%5Cfrac%7B27%7D%7B2%7D%5B%28-16%29%2B%28104%29%5D)
![S=\frac{27}{2}88]](https://tex.z-dn.net/?f=S%3D%5Cfrac%7B27%7D%7B2%7D88%5D)
![S=1,188](https://tex.z-dn.net/?f=S%3D1%2C188)
<span>(-3x^3 y^2)(5xy-1)
Taking variables and coeffecients to one side:
{(-3)(5)} {(x^3 * x)} {(y^2 * y^-1}
{-15} { x^3+1} { y^2-1}
{-15} {x^4} {y^1}
-15x^4y
So according to above explanation.
</span><span>c.) -15x^4y^ , is the correct answer.</span>
54-6=48/4=12 12 for jennifer+24 for Alex+18 for Shannon = 54
Answer:
29.) -14
45.) B
46.) D
The one after that.) C
Step-by-step explanation:
29.
3x-4=4x+10
3x-4x=10+4
-x=14
x=-14
45.
B because it says that the value of c or the number of cars cannot be greater than 5000, so it has to be 0 to 5000
46.
D because it doesn't set a limit on haw many days you can stay, rather it just talks about the the equation for payment.
The One After That.
C because the only time that the graph is decreasing is the time when there is a negative slope. That negative slope is only present in the interval given for answer C.
Step-by-step explanation:
use the formula √(x2-x1)^2+(y2-y1)^2