Answer:
see explanation
Step-by-step explanation:
the sum to n terms of an arithmetic sequence is
= 
[2a + (n - 1)d ]
where d is the common difference and a is the first term
here d = 9 - 7 = 7 - 5 = 2 and a = 5, hence
= [(2 × 5) + 2(n - 1) ]
= (10 + 2n - 2)
= (2n + 8)
= n² + 4n
When sum = 165, then
n² + 4n = 165 ← rearrange into standard form
n² + 4n - 165 = 0 ← in standard form
(n + 15)(n - 11) = 0 ← in factored form
equate each factor to zero and solve for n
n + 15 = 0 ⇒ n = - 15
n - 11 = 0 ⇒ n = 11
but n > 0 ⇒ n = 11
So, bike=b and accessories=a.
b+a=320
Since the bike is worth 7 times more than the accessories, the b would turn into 7a (because 7 times the cost of accessories is the cost of the bike).
The equation would now turn into 7a+a=320.
Solve for a.
7a+a=320
8a=320
a=40
Now that you know the cost of the accessories, you multiply that 40
by 7 to get the cost of the bike.
40(7)
280
The cost of the bike is $280.
The cost of the accessories are/is $40.
For this case, what we must do is find the scale factor.
We have then that the scale factor is given by:
Where,
L1: side length of polygon ABCD
L2: side length of polygon PQRS
Note: both sides belong to the same side of each polygon
Substituting the values we have:
Rewriting we have:
Answer:
The scale factor of dilation is given by:
Answer:
f(x)=(x-2)(x+2)(x-5)
Step-by-step explanation:
f(x)=x³-5x²+4x-20 1. Just group randomly
f(x)=x²(x-5)+4(x-5) 2. Factor the groupings
f(x)=(x²+4)(x-5)
<u>f(x)=(x-2)(x+2)(x-5)</u> 3. Factor the difference of two squares
Answer:
rational
Step-by-step explanation:
