Answer:
From the graph: we have the coordinates of RST i.e,
R = (2,1) , S = (2,-2) , T = (-1,-2)
Also, it is given the scale factor
and center of dilation C (1,-1)
The mapping rule for the center of dilation applied for the triangle as shown below:

or
or

Now,
for R = (2,1)
the image R' =
or

⇒ R' =
For S = (2, -2) ,
the image S'=
or

⇒ S' =
and For T = (-1, -2)
The image T' =
or

⇒ T' = 
Now, label the image of RST on the graph as shown below in the attachment:
Answer:
Step-by-step explanation:
he can make 300 dollars per week by doing either or. so if you're asking whether the statement is correct, it is
Answer:
Option d. $22154 is the right answer.
Step-by-step explanation:
To solve this question we will use the formula 
In this formula A = amount after time t
P = principal amount
r = rate of interest
n = number of times interest gets compounded in a year
t = time
Now Lou has principal amount on the starting of first year = 10000+5000 = $15000
So for one year 

= $15900
After one year Lou added $5000 in this amount and we have to calculate the final amount he got
Now principal amount becomes $15900 + $ 5000 = $20900
Then putting the values again in the formula



So the final amount will be $22154.
Answer:
Y=total cost of purchasing the pencils
Step-by-step explanation:
Y=3.5x+2.99
Where,
Y=total cost of purchasing the pencils
3.5=price of each pencil
X= number of pencils bought
2.99= shipping cost
For instance, if you order for 5 pencils on Amazon, the total cost of purchasing it is
Y=$3.50(5)+$2.99
Y=$17.50+$2.99
Y=$20.49
I suppose you mean

Recall that

which converges everywhere. Then by substitution,

which also converges everywhere (and we can confirm this via the ratio test, for instance).
a. Differentiating the Taylor series gives

(starting at
because the summand is 0 when
)
b. Naturally, the differentiated series represents

To see this, recalling the series for
, we know

Multiplying by
gives

and from here,


c. This series also converges everywhere. By the ratio test, the series converges if

The limit is 0, so any choice of
satisfies the convergence condition.