One year after you buy a tree, it is 10 feet tall. Each year after you buy the tree, it grows 2 feet. Write a function that represents the arithmetic sequence (1,10),(2,12),(3,14). How long does it take for the tree to reach its maximum height of 28 feet?

Answers

Answer 1

Answer:

10 years

Step-by-step explanation:

We are told that One year after you buy a tree, it is 10 feet tall. Thus, it's initial height after 1 year is 10 ft.

Now we are told that each year after you buy the tree, it grows 2 feet. This means that it's height after you bought it was; f(0) = 10 - 2 = 8ft

Thus,

f(1) = 8 + 2 = 10

f(2) = 8 + 2 + 2 = 12

f(3) = 8 + 2 + 2 + 2 = 14

The pattern here is;

f(x) = 8 + 2x

Where x is number of years

Thus, for it to reach a maximum height of 28 ft;

28 = 8 + 2x

Subtract 8 from both sides to give;

28 - 8 = 2x

2x = 20

x = 20/2

x = 10 years


Related Questions

Can Someone plz help me i will mark brainliest

Answers

Answer:

a

Step-by-step explanation:

if u multiply by -5 the 5s will cancel out

Answer:

c

Step-by-step explanation:

sorry if it wrong

.In the coordinate x,y the point x is calledorigin
abscissa
line
y-axis

Answers

Answer:

The x coordinate is known as abscissa (B)

Step-by-step Explanation:

In a Cartesian plane, we learn many such terms which represent a point, or a line, or cooridnates of some points etc[tex].[/tex]

Such terms are:

Origin (Intersection of x axis and y-axis.)x - axis (Horizontal line)y - axis (Vertical line)abscisaa (x -coordinate)ordinate (y - coordinate)

15 POINTS PLEASE HELP!

Answers

Answer:

buddy...u weren't able to attach it properly...

Step-by-step explanation:

u may type it out in the comments...



y=2x−1
5x−4y=1


Is (1,1) a solution of system

A.Yes
B.No

Answers

Yes this is the answer

Wyatt bought 12 souvenirs during 3 days of vacation. How many days will Wyatt have to spend on vacation before he will have bought a total of 20 souvenirs? Solve using unit rates

Answers

Answer: 5 days

Step-by-step explanation:

12/3=4 souvenirs a day

20/4=5 days

Answer:

Assuming Wyatt buys the same number of souvenirs per day (4), it will take him 5 days to buy 20.

Step-by-step explanation:

12/3 = 4 souvenirs/days

20/4 = 5 days

Write 73.654 correct to 1 decimal place.

Answers

U mean 1 tenth?
Well, here

73.7

How can i prove this? Please someone help i get 100points

Answers

Typing.................

Answer:

I can look it up, what's this calle?

Step-by-step explanation:

How do I do this?
.
.

Answers

Answer:

the answer is 4 i believe

Step-by-step explanation:

How many triangles in a 15 sides polygon ?

Answers

I believe the answer is 13
Sorry if that’s wrong I truly tried!!! Please mark brandies the if correct though

i have to find the area of the shaded region. please helppp!!!!! xksnkskzks

Answers

Answer:

9.53 cm2

Step-by-step explanation:

hope it helps

Here is the solution:

16(x+3)=4(x+9)
solve for x​

Answers

Respuesta :

Ecuación : 16 (x + 3) = 4 (x + 9)

Resolvemos :

  [tex]16(x+3)=4(x+9)\\16x+48=4x+36\\16x-4x=36-48\\12x=-12\\x=-12/12\\\\\boxed{x=-1}[/tex]

Explicación paso a paso :

        16 (x + 3) = 4 (x + 9)

Multiplicamos los paréntesis "16(x+3)" y "4(x+9)"

        16x + 48 = 4x + 36

Términos semejantes ...

        16x - 4x = 36 - 48

Restamos respectivamente ...

        12x = -12

El número 12 multiplicando a "x" pasa a dividir...

        x = -12 ÷ 12

Dividimos y ya tenemos el resultado!! ^-^      x = -1

Ver mas ejemplos : brainly.lat/tarea/29507142

PLEASE HELP!! An alien blob started with a mass of 4 kg and is doubling in size every day. How large will the blob be after 2 weeks?

Answers

Answer:

56

Step-by-step explanation:

For which value of a are the graphs of 4 = 3x + 6y and ax – 8y = 12 parallel?
a = -4
O a =
= - 1 / 1
a = 1/2
O
a = 2

Answers

Answer: a=-4

Step-by-step explanation:

please solve due soon

Answers

The correct answer would be 5 because if x=0 then 5 0 times would just be zero

Answer:

5

Step-by-step explanation:

5+5(0)

how can we use a number line to help calculate elapsed time

Answers

i’m not 100% sure but i think by what i learned that you would use a number line to measure to the number than the closest number of the time your looking for would be looking for.

The graph shows the parent function f(x)=0.75x.

Answers

answer:

it should be the graph on the top right!

The graph of the parent function f(x) = 0.75ˣ + 1 is shown in figure.

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

The parent function is,

⇒ f(x) = 0.75ˣ + 1

Now,

Since, The parent function is,

⇒ f(x) = 0.75ˣ + 1

Hence, The points on the function are (0, 2) and (1, 1.75).

Thus, The graph of the parent function is given in option 2.

Learn more about the function visit:

https://brainly.com/question/13804741

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Variable on both sides
John will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $57.96 and costs an additional $0.12 per mile driven.
The second plan has an initial fee of $47.96 and costs an additional $0.16 per mile driven. How many miles would John need to drive for the two plans to cost
the same?
II miles
Х
?

Answers

So for starts we can go 0.16 x 63 miles = 10.04 so the total for the second plan would be $58 with driving 63 miles. and for the first plan would be 0.12 divided by 3 would be 0.04 so we add them together and we get $58 with driving a 3rd of a mile.

Overall:

1st plan: $58 with driving a 3rd of a mile.

2nd plan: $58 with driving 63 miles.

Simplify the below question.

Please send the answer with correct explanation.

Answers

Answer:

48t^4

Step-by-step explanation:

First you simplify and cross out all the uneeded characters because this is a division equation

Then whatever is left you calculate it

Answer:

[tex]48t^{4}[/tex]

Step-by-step explanation:

[tex]\frac{3^{3}*8t^{3}*32}{9t^{-2}*16t}=\frac{3^{3}*8*32*t^{3}}{9*16*t^{-2+1}}\\\\=\frac{3*1*32*t^{3}}{1*2*t^{-1}}\\\\= \frac{3*16*t^{3}}{t^{-1}}\\\\= 48t^{3}*t^{1}\\\\= 48*t^{3+1}\\\\=48t^{4}[/tex]

HINT:

[tex]a^{m}*a^{n}=a^{m+n}\\\\\\\frac{1}{a^{-m}}=a^{m}[/tex]

Help me to do this problem System by sustitution.
4) y = -3x - 7
-6x - 2y = 14​

Answers

Answer:

The system of equations has infinite solutions

Step-by-step explanation:

y = -3x - 7 ⇒ (1)

-6x - 2y = 14 ⇒ (2)

→ Substitute y in equation (2) by equation (1)

∴ -6x - 2(-3x - 7) = 14

→ Simplify the left side

∵ -6x - 2(-3x) - 2(-7) = 14

-6x + 6x + 14 = 14

→ Add the like terms in the left side

∵ (-6x + 6x) + 14 = 14

∴ 0 + 14 = 14

14 = 14

∵ The variable is disappeared and the two sides of the equation equal

∴ The equation has many solutions

→ That means x and y can be any numbers

The system of equations has infinite solutions

if you help me with this , you're a life saver

Answers

Step-by-step explanation:

sin0° = cos90°

sin30° = cos60°

sin45° = cos45°

sin60° = cos30°

sin90° = cos0°

Johnny's Towing Company charges a one-time towing fee of $50, plus $20 per day
that they keep each car.
If Johnny changes his one-time towing fee to $75, describe how the graph of his
function would change.

Answers

The slope is curved

Abby is painting two cubes for an art project.
Cube 1: side length = 3 feet
Cube 2: side length = 2 feet
The surface area of a cube is 6s², where s is the length of one side.
Find the total surface area that Abby will paint.

1. Find the surface area of cube 1. Show your work, and include units with your answer.




2. Find the surface area of cube 2. Show your work, and include units with your answer.




3. What is the total area Abby will paint?

Answers

Answer:1: 56. 3 squared is 9, times 6 is 56.2: 24. 2 squared is 4, times 6 is 24.3: 80. 56+24=80

Step-by-step explanation:

1. The surface area of cube 1 is 54 sq ft,  the surface area of cube 2 is 24 sq ft,  the total area Abby will paint is 78 sq ft

What is a cube?

A cube is a three-dimensional representation of a square. it has 6 faces 2 on the bottom and top, 4 on the sides faces.

We are given that Abby is painting two cubes for an art project.

Cube 1: side length = 3 feet

Cube 2: side length = 2 feet

The surface area of a cube = 6s², where s is the length of one side.

1. Each side of cube 1 is

3 feet x 3 feet, = 9

so, each side has an area of 9 square feet.

Then Multiply by 6 sides and the area

6 x 9 = 54

that is 54 square feet.

2. Each side is 2 feet x 2 feet = 4

so, the area of one side is 4 square feet.

Then Multiply by 6 sides and the area

6 x 4 = 24

That is 24 square feet.

3. the total area = 54 + 24 = 78 square feet

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please help!! i’ll mark brainliest!!!!

Answers

Answer:

x^2+11x+30

Step-by-step explanation:

What is the exact solution to the equation 4^5x=3^(x-2)
list the steps to get the answer

Answers

Answer: x = -0.377

Step-by-step explanation:

We have the equation:

4^(5*x) = 3^(x - 2)

Now we can use the fact that:

Ln(A^x) = x*Ln(A)

Then we can apply Ln(.) to both sides of the equation to get:

Ln(4^(5*x)) = Ln(3^(x - 2))

(5*x)*Ln(4) = (x - 2)*Ln(3)

(5*x)*Ln(4) - x*Ln(3) = -2*Ln(3)

x*(5*Ln(4) - Ln(3)) = -2*Ln(3)

x = -2*Ln(3)/(5*Ln(4) - Ln(3)) = -0.377

How many solutions does 7x -10 = 7(x+3)

Answers

Answer: The answer to this question is that there is no solution to that problem

Step-by-step explanation:

there are 40 boys and 20 girls at the party 35% from boys wearing glasses and 60% girls wearing how many people wearing glasses glasses

Answers

Answer:

12 g 14 b

Step-by-step explanation:

.

Is (-1, -9) a solution to the equation y 9x?​

Answers

Answer:

Yes if the equation is Y= 9X

Step-by-step explanation:

-9= 9×-1 ---} -9 = -9

Chuck needs to drive 400 miles on the highway.
Gas costs $1.50 per gallon. How much will it cost for
gas to drive his truck 400 miles?

Answers

Answer:

$600

Step-by-step explanation:

400*1.5=600

Tommy multiplied 0.24 by 100 to change it to what type of number?

A) percent
B) decimal
C) fraction
D) benchmark percent

Answers

Percent.

It wouldn’t be a decimal because 0.24 x 100 = 24
It wouldn’t be a fraction because it would be a whole number
It wouldn’t be a benchmark percent because it’s not 25, 50, 75 or 100

Y+4=2(x+3) In slope-intercept form

Answers

Y=2x+2 this is the answer hope this helps
Answer: y =  m x  +  b . Y  =  2 x  +  2______________________________________Hope this helps!

Also can I please have Brainliest?

Only if I'm correct of course.

Your welcome, Loves!

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