All categories

3 years ago

Please help me with this please and thank you

Mathematics

1 answer:

Ierofanga [76]3 years ago

4 0

Step-by-step explanation:

a geometric sequence means that every term is created by multiplying the previous term by a certain constant factor. this factor is called the "common ratio".

so,

6×r = 18

r = 18/6 = 3

and a quick check tells us this works also for the next terms (18×3 = 54, 54×3 = 162), so it is indeed a geometric sequence with common ratio 3.

a0 = 6

a1 = a0 × 3 = 6×3 = 18

a2 = a1 × 3 = a0 × 3×3 = 6×3² = 54

an = a0 × 3^n = 6 × 3^n

so,

f(x) = 6×3^x, x is integer, x >=0

You might be interested in

X-2y=0 ,x²-y²=3<br>by step

masya89 [10]

Answer:

x=2, y=1

x=-2, y = -1

Step-by-step explanation:

x - 2y = 0

x = 2y

x² - y² = 3

(2y)² - y² = 3

3y² = 3

y² = 1

y = 1 or y = - 1

x = 2 or x = -2

5 0

4 years ago

Help me asap pleaseeeeee

34kurt

Answer:

1. her elevation at noon was 3 meters

2. (-2, 7)

3. (1, 0)

Step-by-step explanation:

1. when x = 0, it is noon, y = 3 when x is 7

2. when x = -2 it is 10 am because when x is 0, it is noon, or 12 pm, her elevation is 7 meters above sea level

3. when x is 1, it is 1 pm, and her elevation is 0 meters

5 0

3 years ago

Pedro le dice a María si cambias los billetes de 10 € que tienes por billetes de 5 € y los billetes de 5 € por billetes de 10 €

Bad White [126]

Answer: Maria has 10 bills of 5€ and 10 bills of 10€.

She has a total of 150€.

Step-by-step explanation:

Let be "f" the number of 5€ bills that Maria has and "t" the number of 10€ bills that Maria has.

Set up a system of equations:

$\left \{ {{f+t=20} \atop {5f+10t=10f+5t}} \right.$

Use the Substitution method to solve the system of equations:

1. Solve for "f" from the first equation:

$f=20-t$

2. Substitute the equation obtained into the second equation and solve for "t".

Then:

$5(20-t)+10t=10(20-t)+5t\\\\100-5t+10t=200-10t+5t\\\\20t-10t=100\\\\t=\frac{100}{10}\\\\t=10$

3. Substitute the value of "t" into the equation $f=20-t$ and evaluate:

$f=20-10\\\\f=10$

Therefore, Maria has 10 bills of 5€ and 10 bills of 10 €.

So the total amount of money she has, is:

$Total=10(5)+10(10)=150$

She has a total of 150€.

5 0

4 years ago

Given the equation 7(x + 2) = 2x − 1, solve for the variable. Explain each step and justify your process. Jeff solved a similar

Galina-37 [17]

You have to distribute the 7 to x and 2 so :
7x+14=2x-1
Add one to both sides (inverse operations)
7x+14=2x-1
+1 +1
7x+15=2x
Cross Cancel by subtracting 7x from both sides
7x+15=2x
-7x -7x
15=-5x
Divide by -5
15/-5= -5/-5
X= -3

6 0

3 years ago

Which of the following statements is true about the given function?

Maslowich

I think the answer is c

4 0

3 years ago

Read 2 more answers