If a = first term and r = common ratio we have
a + ar + ar^2 = 13 and ar^2 / a = r^2 = 9
so r = 3
and a + 3a + 9a = 13
so a = 1
so they are 1,3 and 9
2.
in geometric series we have
4 , 4r ,4r^2 , 60
Arithmetic;
4, 4r , 4r + d , 4r + 2d
so we have the system of equations
4r + 2d = 60
4r^2 = 4r + d
From first equation
2r + d = 30
so d = 30 - 2r
Substitute for d in second equation:-
4r^2 - 4r - (30-2r) = 0
4r^2 - 2r - 30 =0
2r^2 - r - 15 = 0
(r - 3)(2r + 5) = 0
r = 3 or -2.5
r must be positive so its = 3
and d = 30 - 2(3) = 24
and the numbers are 4*3 = 12 , 4*3^2 = 36
first 3 are 4 , 12 and 36 ( in geometric)
and last 3 are 12, 36 and 60 ( in arithmetic)
The 2 numbers we ause are 12 and 36.
6.50x+2.50y = total
with x = # of movie tickets
with y= # of bags of popcorn
or can be written as 
<h3>Further explanation</h3>
This is a question about the composition of functions and how to get a domain function.
Given 
and 
.
We will form (b o a)(x) and then determine the domain.
<u>Step-1</u>
Replace each appearance of x in b(x) with .
Thus, 
<u>Step-2</u>
To be defined, the value under the radical sign must not be negative. Therefore, the domain of 
are processed as follows.
Both sides added by 3.
Both sides divided by 3.
Thus, the domain of is or can be written as
<h3>Learn more</h3>
- If f(x) = x² – 2x and g(x) = 6x + 4, for which value of x does (f o g)(x) = 0? brainly.com/question/1774827
- Solve for the value of the function composition brainly.com/question/2142762
- Look for rotation rules in the transformation brainly.com/question/2992432
Keywords: composition of function, if a(x) = 3x + 1, and, b(x) = √(x-4), what is the domain of, (b o a)(x), b(a(x)), defined, the value, under the radical sign, must not be negative,
Answer:
(
2
,
8
)
Explanation:
Two lines are parallel if they share the same slope.
Any line parallel to
y
=
10
x
will have the slope 10.
Now, we have:
y
=
3
x
2
−
2
x
We try to find
d
y
d
x
=>
d
d
x
(
y
)
=
d
d
x
(
3
x
2
−
2
x
)
Step-by-step explanation:
