Ms.Koehler is planting A treat to help save the environment. She decided to keep track of the height of the tree over the years. After the first year Ms. Koehler measured the tree to be 8 feet tall. She took note that this was an increase of 3 feet from the previous year. Assuming the tree will continue to grow at this rate I answer the following questions.


Write an equation representing the height of Ms. Koehler’s three overtime, where y represents the height of the tree and x is the number of years since being planted

Answers

Answer 1

9514 1404 393

Answer:

  y = 3x +5

Step-by-step explanation:

We are told the height increase is 3 ft in 1 year. That is the slope of the linear function representing height.

We are told that in year 1 the height was 8 ft, and that it was 3 ft less in the previous year. That is, it was 5 ft high in year 0. So, the y-intercept of the function is 5.

The slope-intercept equation is ...

  y = mx + b . . . . for slope m and y-intercept b

  y = 3x + 5


Related Questions

-hx + 4 = 2x- 1 solve this equation for x.

Answers

Answer:

x=-5/(-h-2)

Step-by-step explanation:

-hx+4=2x-1

-hx=2x-5

-hx-2x=-5

x(-h-2)=-5

x=-5/(-h-2)

Let me know if this helps!

The equation; -hx + 4 = 2x- 1 when solved for x is; x = 5/(2 +h)

Change of subject of formula

The given equation is;

-hx + 4 = 2x- 1

By collecting like terms; we have;

2x + hx = 4 + 1

x(2 +h) = 5

x = 5/(2+h)

Read more on change of subject;

https://brainly.com/question/739085

What is the least common denominator of the rational expressions below?
2/7 - 7/4x^2+12x

O A. 4x^2(x + 3)
O B. x^2(x + 3)
O c. x^2(x + 3)
O D. 4x^2(x+3)

Answers

Answer:

A. 4x^2(c+3)

Step-by-step explanation:

3.1= -5.9+x, x=?
what does this answer to

Answers

Answer:

6-2=3

Step-by-step explanation:

5234.9

Answer:

x = 9

Step-by-step explanation:

3.1= -5.9+x

x - 5.9 = 3.1

x - 5.9 + 5.9 = 3.1 + 5.9

x = 9

3
Find the slope and y-intercept from the following graph of a linear equation.

Answers

Answer:

A. Slope = 4 and y-intercept  = 3

Write 2 equivalent fractions for the following fractions, use 2/2 and 3/3. 2/3

Answers

Answer:

[tex]\frac{4}{4} ,\frac{5}{5}[/tex]

Step-by-step explanation:

In order to find the answer to this question you need to remember that if the denominator and the numerator are the same they equal one or one whole.

[tex]\frac{2}{2} =1[/tex]

[tex]\frac{3}{3}=1[/tex]

[tex]\frac{4}{4}=1[/tex]

[tex]\frac{5}{5} =1[/tex]

As long as the numerator and the denominator are the same they will be equivalent to 2/2 and 3/3.

Hope this helps.

Solve without using a calculator:

sin²20° + sec²20°

Answers

Step-by-step explanation:

sin

2

(

20

°

)

+

sec

2

(

20

°

)

Simplify each term.

Tap for fewer steps...

Rewrite

sec

(

20

°

)

in terms of sines and cosines.

sin

2

(

20

°

)

+

(

1

cos

(

20

°

)

)

2

Apply the product rule to

1

cos

(

20

°

)

.

sin

2

(

20

°

)

+

1

2

cos

2

(

20

°

)

One to any power is one.

sin

2

(

20

°

)

+

1

cos

2

(

20

°

)

Simplify each term.

Tap for fewer steps...

Rewrite

1

as

1

2

.

sin

2

(

20

°

)

+

1

2

cos

2

(

20

°

)

Rewrite

1

2

cos

2

(

20

°

)

as

(

1

cos

(

20

°

)

)

2

.

sin

2

(

20

°

)

+

(

1

cos

(

20

°

)

)

2

Convert from

1

cos

(

20

°

)

to

sec

(

20

°

)

.

sin

2

(

20

°

)

+

sec

2

(

20

°

)

The result can be shown in multiple forms.

Exact Form:

sin

2

(

20

°

)

+

sec

2

(

20

°

)

Decimal Form:

1.24945210

Ms. Sanchez earns 3% commission on every car she sells. The dealership paid $20,000 for a car from an auction. The next day Ms. Sanchez sold the car for $38,000. What was Ms. Sanchez's commission from the
the difference in the car?

Answers

38,000 - 20,000 = 18,000

3% of 18,000 is
0.03 * 18,000 = $540

Jonathan is in a class of 15 boys and 35 girls.40%of the students in the class take the bus to school how many students do not take the bus to school ?

Answers

40% of 40
10% of 40 is 4
4 x 4=16
40-16 =24
Answer is 24
15 + 35 to find the total of students in the class which is 50.
100 / 40 = 2.5, so divide 50 by 2.5 and you get 20

Answer is 20

Solve for all values of c in simplest form.
|C – 21 |= 12

Answers

Answer:

33, 9

Step-by-step explanation:

I33-21I=12

I9-21I=

I-12I=12

Every SUM of an absolute value will always be positive!!

Determine the slope and the y-intercept Y=2x-3

Answers

Answer: The slope is 2 and the y-intercept is -3.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

In slope-intercept form the slope is always the number right in front of the X

For each sequence, find the first 4 terms and the 10th term.
a) 3n + 4
b) 4n-5

Answers

Answer:

see explanation

Step-by-step explanation:

To find the first 4 terms substitute n = 1, 2, 3, 4 into the formula, that is

(a)

a₁ = 3(1) + 4 = 3 + 4 = 7

a₂ = 3(2) + 4 = 6 + 4 = 10

a₃ = 3(3) + 4 = 9 + 4 = 13

a₄ = 3(4) + 4 = 12 + 4 = 16

Similarly substitute n = 10 for tenth term

a₁₀ = 3(10) + 4 = 30 + 4 = 34

(b)

a₁ = 4(1) - 5 = 4 - 5 = - 1

a₂ = 4(2) - 5 = 8 - 5 = 3

a₃ = 4(3) - 5 = 12 - 5 = 7

a₄ = 4(4) - 5 = 16 - 5 = 11, and

a₁₀ = 4(10) - 5 = 40 - 5 = 35


Mrs Jones uses 1/4 of a packet of spaghetti each time she cooks pasta.
How many meals will 5 packets of spaghetti last for?

Answers

20 meals is the correct answer5 ÷ ¼ = 20Please let me know if I am wrong.

Solve 2(x - 5) = 3(x + 7)

Answers

Answer:

x = -31

Step-by-step explanation:

2(x-5) = 3(x+7)       1. Use distributive property

2x - 10 = 3x + 21     2.  Add 10 on both sides

2x = 3x + 31            3. Subtract 3x on both sides

-x = 31                       4. Divide by -1

x = -31

Speedy Cav Company uses the following to determine ride costs:

A $5.00 flat fee for a ride.

An additional $0.75 for each mile traveled.

Which equation represents the cost of a car ride from Speedy Cab Company?

A. t = 5x + 0.75

B. t = 0.75 + 5

C. t = 0.75x + 5

D. t = 5x - 0.75​

Answers

The correct answer is C.
The answer is 0.75x +5

I urgently need help!!!!!!

Answers

Answer:

Step-by-step explanation:

e

Answer:

Angle KMN is 79°

Hope this helps.

urgent I need help pls ​

Answers

11

Explanation:
Graphing calculator

Does y=10 true or false??

Answers

Answer:

i think no it doesnt so false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

I need help with geometry

Answers

Answer:

Rhombus and angle 1 = 35

Step-by-step explanation:

The parallelogram has the same marking on each of its sides, indicating that all the sides are equal in length. It is, therefore, a rhombus.

It is given that one of the angles measures 110 degrees. The other angle is 70 degrees (because 180 - 110 = 70). Since it is bisected by a line, divide the angle by 2 (70/2). You get 35 degrees. Therefore, the measure of angle 1 is 35 degrees.

I hope this helps! :)

What is a and b pls answer ASAP I need it !!! Plsss

Answers

Answer:

The value of a = 5.

the value of b = 6.

Step-by-step explanation:

Given the points on the line

(6, 10)(a, 8)(4, b)(2, 2)

Given that all of the points are on the same line and the line represents a linear function.

Thus, the slope between any two points must be the same.

First, determine the slope between (6, 10) and (2, 2)

(x₁, y₁) = (6, 10)

(x₂, y₂) = (2, 2)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [2 - 10] / [2 - 6]

               = -8 / -4  

               = 2

Thus, the slope of the line = m = 2

Determine the value 'a'

(x₁, y₁) = (6, 10)

(x₂, y₂) = (a, 8)

Using the slope formula to determine the value of 'a'

Slope =  [y₂ - y₁] /  [x₂ - x₁]

As the slope between two points is 2.

now substitute slope = 2, (x₁, y₁) = (6, 10) and (x₂, y₂) = (a, 8) in the slope formula

Slope =  [y₂ - y₁] /  [x₂ - x₁]

2 = [8 - 10] / [a - 6]

2(a - 6) = 8 - 10

2a - 12 = -2

2a = -2 + 12

2a = 10

divide both sides by 2

a = 5

Therefore, the value of a = 5.

Determine the value 'b'

(x₁, y₁) = (2, 2)

(x₂, y₂) = (4, b)

Using the slope formula to determine the value of 'b'

Slope =  [y₂ - y₁] /  [x₂ - x₁]

As the slope between two points is 2.

now substitute slope = 2, (x₁, y₁) = (2, 2) and (x₂, y₂) = (4, b) in the slope formula

Slope =  [y₂ - y₁] /  [x₂ - x₁]

2 = [b - 2] / [4 - 2]

2(4 - 2) = b - 2

8 - 4 =b - 2

4 = b - 2

b = 6

Therefore, the value of b = 6

I need help please, I am weird. I know​

Answers

Answer: -10x+9

Step-by-step explanation:

1. Remove parantheses:

-2x+10-8x-1

2. Simpify: -2x-8x+10-1 => -10x+9

Have a nice day! :D

First remove parentheses , so you would have -2x+10 -8x-1 , combine like terms , -10x +10-1 , then subtract the numbers . Your solution is -10x+9 .

Rewrite with positive exponents: 7^-3

Answers

Answer:

1/7^3 (One over seven thirds)

Step-by-step explanation:

A popular Web site reached 7.5 million users during the week of March 7, 2011. This number represents a 33 percent increase from the week before. How many users did the Web site have the week before?

Answers

Answer:

5.7 million

Step-by-step explanation:

Let the number of users be x

x + 33% of x = 7.5 million

x + 0.33x = 7.5 million

1.33x = 7.5

x = 7.5/1.33

x = 5.7 million

Ken placed a 6. feet ladder against a wall , creating the triangle shown in the figure below at what height on the wall does the top of the ladder reach

Answers

Answer:  c

Step-by-step explanation:

You scored 80 points on your first math test. On the next test you scored 96 points. What is the percent increase?

Answers

Answer:

20%

Step-by-step explanation:

96-80/80 *100

16/80*100

1/5*100 =20

find the 75th term of the following arithmetic sequence 3, 7,11,15,...

Answers

Answer:

19

Step-by-step explanation:

11+19+12+245+1245+23567=

Answers

wow it’s 25099 just use your calculator lol

Please hurry need done fast!

Answers

Answer: table 1 is proportional y is 8 times x, and table 2 is not proportional

Step-by-step explanation:

5*8= 40 6*8= 48 7*8=56 so it’s8

5*1= 5 7*1 does not equal 21

One bike has 2 wheels.

Which shows how many wheels (y) 4 bikes have?
A. Y=2+4
B. Y=2 x 4
C. Y= 2-4

Answers

The answer I got is “B”

when solving a linear system by substitution, how do you decide which variable to solve first?

Answers

Answer: whichever one is easiest to get by itself.

Step-by-step explanation:

A shoe store uses a 50​% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of ​$59​?

Answers

Answer:

          $88.5

Step-by-step explanation:

[tex]59+50\%\times59=59+0.5\times59=59+29.5=88.5[/tex]

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