You plant a spruce tree that grows 4 inches per year and a hemlock tree that grows _____ inches per year. The initial heights are shown. Write a system of linear equations that represents this situation.

Answers

Answer 1

Complete Question:

You plant an 8-inch spruce tree that grows 4 inches per year and a 14-inch hemlock tree that grows 6 inches per year.

The initial heights are shown.

Write a system of linear equations that represents this situation.

Answer:

[tex]s(x) = 8 + 4x[/tex]

[tex]h(x) = 14 + 6x[/tex]

Step-by-step explanation:

Given

Spruce Tree (s):

[tex]Initial\ Height = 8[/tex]

[tex]Growth = 4[/tex] (yearly)

Hemlock Tree (h):

[tex]Initial\ Height = 14[/tex]

[tex]Growth = 6[/tex] (yearly)

Required

Represent as system of linear equations

Let the number of years be x.

In both cases, the equation can be formed using:

[tex]Equation = Initial\ Height + Growth * x[/tex]

For Spruce Tree (s):

[tex]s(x) = 8 + 4 * x[/tex]

[tex]s(x) = 8 + 4x[/tex]

For Hemlock Tree (h):

[tex]h(x) = 14 + 6 * x[/tex]

[tex]h(x) = 14 + 6x[/tex]

Hence, the equations are [tex]s(x) = 8 + 4x[/tex] and [tex]h(x) = 14 + 6x[/tex]


Related Questions

1092 in exponential form

Answers

Answer:

1.092 × [tex]10^{3}[/tex]  

I hope this helps!

Answer:

1.092×10^3 is the answer .hope this helps

WILL GIVE BRAINLIEST!!!!!!!
Write a quadratic equation with –6 and 5 as its roots.

Answers

While there are many quadratic equations using -6 and 5 as roots, the most simple would be the basic (x+6)(x-5)=0, or simplified, x² + x - 30 = 0.

Using these roots, all you have to do is make both sides of the equation and even both sides of the multiplied pre-product to equal 0. If using this format, x has to be equal to -6, and 5.

Raise to the power:
[tex](-3y)^{4}[/tex]

Answers

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[tex]( { - 3y})^{4} = ({ - 3})^{4} \times ( {y})^{4} = [/tex]

[tex]81 \times {y}^{4} = 81 {y}^{4} [/tex]

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answer: 81y^4


explanation: you raise each term to the 4th power

for the first term “3” 3•3•3•3 = 81
for the second term “y” y^4

Write the equation in Standard Form.
72 = 2 – 4y

Answers

Answer:

seventy-two equals two minus four times

Step-by-step explanation:

Answer:

72x+4y=2

Step-by-step explanation:

What is the least common multiple of 6 and 8?

Answers

Answer:

2

Step-by-step explanation:

the sides of a triangle are 3 whole 1 by 6 cm 4 whole 2 by 3 cm and 5 whole 2 by 3 cm. Find the total length of the three sides of the triangle​

Answers

Answer:

[tex]16\frac{2}{3}[/tex]cm

Step-by-step explanation:

Given dimensions:

           [tex]3\frac{1}{6}[/tex] cm by [tex]4\frac{2}{3}[/tex]cm  by [tex]5\frac{2}{3}[/tex] cm

The total length:

 it is the sum of all the sides;

         [tex]\frac{19}{6} + \frac{14}{3} + \frac{17}{3}[/tex]  

LCM of the denominators = 6 ;

   [tex]\frac{38 + 28 + 34}{6}[/tex]  = [tex]\frac{100}{6}[/tex]

                 = [tex]\frac{50}{3}[/tex]

                 = [tex]16\frac{2}{3}[/tex]cm

solve for m: 3m+6= 5m+ 8 * ​

Answers

Answer:

m = -1

Step-by-step explanation:

3m + 6 = 5m + 8

-3m        -3m

6 = 2m + 8

-8           -8

-2 = 2m

divided by 2

-1 = 1m

m = -1

3. In the figure, m/_ 2 = 92, and m/_12 = 74. Find the measure of each angle. Tell which postulate(s) or theorem(s) you used.

/_13

a. 106, vertical angles
b. 74, alternate interior angles
c. 106, supplementary angles
d. 74, consecutive interior angles​

Answers

Answer:

C

Step-by-step explanation:

Factoring trinomials
Select two for each

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Factors.

1.) x^2+4x+3= (x+1) (x+3)

2.) x^2-2x-99 = (x+3) (x-11)

Which ones are functions?

Answers

Answer:

6,8

Step-by-step explanation:

5, 6, and 8 are functions because the x doesn’t have repeated numbers.

For the 7 in number 5 that doesn’t have an arrow, it just means, (7, 0).

Mark as Brainlie if it helped!

16) The zero of a polynomial ax+b (a is not zero) is

a/b
b/a
-a/b
-b/a​

Answers

Answer:

x = - [tex]\frac{b}{a}[/tex] ( a ≠ 0 )

Step-by-step explanation:

To find the zero, let the polynomial equal zero, that is

ax + b = 0 ( subtract b from both sides )

ax = - b ( divide both sides by a )

x = - [tex]\frac{b}{a}[/tex]

If 7 + 5 i is a zero of a polynomial function P(x) with real coefficient, then which is also a zero for P(x)

Answers

Answer:

ppap

Step-by-step explanation:

fhfhhffhff my name is denish paudyal

Answer:

7 - 5i

Step-by-step explanation:

complex zeros occur as conjugate pairs , thus if 7 + 5i is a zero, then

7 - 5i is also a zero

3. Consider the equation s +10 = 25.
(a) Write a real-world problem that can be solved using the equation.

Answers

s +10 = 25.

There is a bag containing 25 chocolates 10 of them are white, how many chocolates are dark chocolates?

What is the solution to the equation 5x−2=2x+13

Answers

Answer:

X=5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

5x-2=2x+13

-2x     -2x

3x-2=13

    +2   +2

3x=15

divide 15 by 3.

The total cost for tuition plus room and board at State University is 6,584
dollars. Tuition costs 1804 dollars more than room and board. What is the
tuition fee?

Answers

Answer:

$4,194

Step-by-step explanation:

First, you need to subtract the 1,804 from the the total, which will give you 4,780. Divide this by two to get the cost of room and board, which is 2390. To find the tuition fee, add 2,390 and 1,804, and that equals $4,194.

Plz Help ASAP!!
What is the y-intercept of the line that contains the point (3, –2) and is perpendicular to the line y = – 2/5 x + 3/5?

Answers

Y = 5/2x because the A value need to be the opposite reciprocal for a perpendicular line you then plug the point you are given into our new EQ which equals -2=(5/2)(3) + b (solving for b) and you get b = -9.5 so your new equation is y = 5/2x - 9.5 making your Y int -9.5

Q3) f(x) 2x^2 - 5x, g(x) = 3x^3 find g(4x)

Answers

Answer:

g(4x) = 192x^3

Step-by-step explanation:

For this problem, f(x) is irrelevant since we are simply are dealing with g(x).  We will simply replace the value of x in g(x) with 4x.  So let's do that.

g(x) = 3x^3

g(4x) = 3(4x)^3

g(4x) = 3(4^3)(x^3)

g(4x) = 3(64)(x^3)

g(4x) = 192x^3

Hence, g(4x) is 192x^3.

Cheers.

Two cities on a map are 6.5 cm apart. The cities are actually 325 km apart. What scale was used to draw the map?

Answers

Answer:

A scale of fivce hundred should be the correct answer

Step-by-step explanation:

Answer:

1cm=50km

Step-by-step explanation:

325 divided by 6.5 is 50, so 1 centimeter equals 50 kilometers on the map scale.

(0, -19), (20, 15)
I am having trouble

Answers

Answer:

-38285

Step-by-step explanation:

this is what my calculator told me

sorry but ask someone else

I don´t know what slopes are

so sorry

The table shows the number of votes for the new school mascot. What percent of the students voted for Polar Bears?

Mascot Number of Students
Polar Bears 6
Tigers 14
Vikings 19
Eagles 11
Katie solved the problem. Her work is shown below. Is her answer correct? If not, explain the error and give the correct answer.

Answers

Answer:

shes so wrong

Step-by-step explanation:

6+14=20+19=39+11=50

100/50=2

6x2=12

12%

Jay wants to buy a book for $8.00. The sales tax is 6%. How much will Jay pay for the book including tax?

Answers

Answer: $8.48

Step-by-step explanation: 8x.06 = .48 +8 = $8.48

What is the answer to this question because I can’t understand it

Answers

Answer:

you have to add both x and y values together. the x and y values came out as (-3,2). hope this helped!

Answer:

(x-11,y-12)

Step-by-step explanation:

#kingofdrill.
Brainlliest for one of the people who tell me what kingVon's First song is

Answers

thx for the free points ig

Answer:

Crazy Story

Step-by-step explanation:

Crazy Story.02  and the one on lildruky

I need help please help me.THANKS!!

Answers

Answer:

A. 42, 120, 162

Step-by-step explanation:

27 x 6 = 162

or

42 + 120 = 162

There are 4 boys and 2 girls from the seventh grade and 3 boys and 5 girls from the eighth grade in the math club. The math club sponsor will randomly pick one student from each grade level to represent the team.

What is the probability that both will be girls?

Answers

Answer:

5/24 or 20.8%

Step-by-step explanation:

 

Probability that the 7th grader is a boy = number of boys/(total kids) = 4/(4+4) = 1/2

 

Probability that the 8th grader is a boy = 5/(5+7) = 5/12

 

Probability that both are boys = 1/2*(5/12) = 5/24 or 20.8%

You need to score 80% on the final exam to maintain an “A” average in class. If the exam has 250 questions, how many questions must you answer correctly?
A. 20
B. 160
C. 200
D. 240

Answers

Answer:

200

Step-by-step explanation:

100/250= 0.4

0.4* 200= 80

A’ is the image of A in a regular pentagon. What is the angle of a clockwise rotation, in degrees, about the origin that transfers A to A’

Answers

Answer:

B. 144°

Step-by-step explanation:

have a nice day.

Use common factors to write two fractions equivalent to 6/42

Answers

Answer:

1.) 1/7      2.) 3/ 21= 1/7

Step-by-step explanation:

these are some fractions that are equivalent

Answer:

3/7 and 1/7

Step-by-step explanation:

WILL GIVE BRAINLIEST!!!!!!!!!
1. Use at least 2-3 sentences to explain how to find the measure of exterior angle of a triangle if you know the two remote interior angles.



2.Use at least 2-3 sentences to explain how to find the measure of an interior angle of a triangle when you are given the other two angle measures.

Answers

Answer:

Step-by-step explanation:

1). By definition of an exterior angle of a triangle,

  Measure of exterior angle of a triangle is equal to the sum of opposite two interior angles.

  From the figure attached,

  m∠4 = m∠1 + m∠2

2). Property of a triangle states that " sum of interior angles of a triangle is 180°"

   Therefore, m∠1 + m∠2 + m∠3 = 180°

Someone help ASAP
I don’t understand

Answers

Answer:

[tex]\sqrt{49}[/tex] and 1/4 are rational numbers

Step-by-step explanation:

others are not rational numbers because the decimals goes on forever.

Ex. [tex]\sqrt{7}[/tex]=2.64575.....

4/9=0.444444444...

pi goes on forever

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A hammer has an input distance of 9 cm and an output distance of 3 cm. What is its idealmechanical advantage? A bottlenose dolphin is 10 feet below sea level. Then it begins to dive at a rate of 9 feet per second. What is the equation of the line that represents its elevation, y, after x seconds?A. y = 9x 10B. y = -9x 10C. y = 9x + 10D. y = -9x + 10 Fill in the missing numbers in these equation (-2) . (-4.5)= ? ?= Find the value of x.(5x + 5) PLEASE HELP WILL GIVE BRAINLIEST IF FIRST AND RIGHT!! Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!! Which statement is part of Dalton's atomic theory?Matter is composed of small particles called atoms.Atoms can be divided into their subatomic particles.Atoms are able to be seen with proper spectroscopy equipment.Chemical reactions can change atoms from one type to another. great news Joe biden won the electioncomment who support him whats proper noun for Restarunt,school,girl,store,teacher car, what is the estimate product of 33 and 76 is 1/5 a integer rational irrational or real. (there can be more than one answer) Find the surface area of this cuboid.3 cm5 cm2 cm b. A lava flow has a length of 45 km. It is 400 m wide and 5 meters thick. What is the volume of themagma erupted? Give your answer in km.How do I do this math style (9+7i)+(-5-31) = add complex numbers He usually....in the morning. (walk/walks/walked) Please help me I need it On a coordinate plane, a line goes through points (negative 2, 4) and (0, negative 4). Linear functions are expressed by the graph and equation. Select all that apply. The slope is positive for both functions. The equation has a steeper slope than the line in the graph. The y-intercept is the same for both. The graph and the equation express an equivalent function. Assume there are 11 voting districts in the county. Polly Tician is running for office. She figures she must win at least 7 of the districts to win the election. If she has an equal chance of 60% to win any one district, what are her chances of winning the election? Part b which details support the answer to part a The following sentence has a misplaced modifier.Tired of studying and writing research papers, summer vacation came as a relief to the student.Which revision corrects the error in the sentence?Summer vacation came as a relief to studying and writing research papers for the student.Relief to the student came as summer vacation, which was tired of studying and writing research papers.Summer vacation came as a relief to the student, who was tired of studying and writing research papers.The student, who was tired of studying and writing research papers, came to summer vacation as a relief.