PLZ HELP ME!!!!!!!!!!!!!!!!

PLZ HELP ME!!!!!!!!!!!!!!!!

Answers

Answer 1

Answer:

6

Step-by-step explanation:

To find the GCF do the prime factorization of each term

24: 2x2x2x3

18t: 2x3x3xt

Now find the numbers that they both have in common

That would be 2 & 3

When you multiply them together you should get 6

Answer 2
Answer:   6(4 + 3t)

This is the same as 6(3t + 4) because we can add two terms in any order

To get either answer, we first note that 6 is the greatest common factor (GCF) of 18 and 24. So we factor each term so that a 6 is involved. Then we use the distributive property in reverse like so

24 + 18t = 6*4 + 6*3t = 6(4 + 3t)

The distributive property is a(b+c) = a*b + a*c. We multiply the outer term 'a' by each term inside the parenthesis. Then we add the results.


Related Questions

Identify the coefficient of 12b5.

Answers

Given the value [tex]12b^{5}[/tex] ; the coefficient of b is 12.

The Coefficient is a numerical value or constant which is used to multiply a variable; from the value given above ;

The variable is b ;

The Coefficient = 12 ; the coefficient is the value which is used fo multiply the variable b.

The power is the value to which the variable is raised.

Hence,

The Coefficient is 12 ; it is the value which multiplies the variable 'b' and the power is 5

Learn blow : https://brainly.com/question/22241464

urgent!! - What is the perimeter of a parallelogram, if it's area is 36 cm2 and the distances between the point of intersection of the diagonals and the sides are 2 cm and 3 cm?

Answers

Answer:

  30 cm

Step-by-step explanation:

The distance from the intersection of the diagonals (center of the parallelogram) to one side is half the height when that side is considered the base.

So, if the height is 2×(2 cm) = 4 cm, and the area is 36 cm², the base for that height must be ...

  (36 cm²)/(4 cm) = 9 cm.

Similarly, if the height is 2×(3 cm) = 6 cm, the base for that height is ...

  (36 cm²)/(6 cm) = 6 cm.

These "bases" are the side lengths of the parallelogram, so its perimeter is ...

  P = 2(s1 +s2) = 2(9 cm +6 cm) = 30 cm

The perimeter of the parallelogram is 30 cm.

Which expression is equivalent to
9(x + 4)?


A. 36x

B. 13x

C. 13+9x

D. 9x+36

Answers

Answer:

[tex]\boxed{D. 9x + 36}[/tex]

Step-by-step explanation:

Hey there!

Given info

9(x + 4)

Solve!

9*x = 9x

9*4 = 36

Answer

9x + 36

D. 9x + 36

Hope this helps :)

Answer:

[tex] \boxed{9x + 36}[/tex]

Option D is the correct option.

Step-by-step explanation:

[tex] \mathrm{9(x + 4)}[/tex]

Distribute 9 through the parentheses

[tex] \mathrm{ = 9 x + 9 \times 4}[/tex]

Multiply the numbers

[tex] \mathrm{ = 9x + 36}[/tex]

Hope I helped!

Best regards!

8 elementary classes will be chosen to participate in a school lunch survey. There are 23 elementary classes in the school. In how many ways can the classes be chosen?

Answers

Answer:

490,314

Step-by-step explanation:

This is a combinations problem.  The formula is n!/(n-r)!xr!

This is 23!/(23-8)!x8!=

23!/15!x8!=

19,769,460,480/40,320=

490,314

Using the combination formula, it is found that the classes can be chosen in 490,314 ways.

The order in which the classes are chosen is not important, hence the combination formula is used to solve this question.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 8 classes are chosen from a set of 23, hence:

[tex]C_{23,8} = \frac{23!}{8!(15)!} = 490314[/tex]

The classes can be chosen in 490,314 ways.

More can be learned about the combination formula at https://brainly.com/question/25821700

What is the measure of Angle X W Y? Triangle X W Y. The exterior angle to angle W is 74 degrees. 16 degrees 74 degrees 106 degrees 116 degrees

Answers

Answer: 106 degrees

The exterior of angle XWY is 74 degrees, so the angle XWY itself is 180-74 = 106 degrees. The two angles form a 180 degree straight line or angle.

Answer:

the answer is 74

Step-by-step explanation:

i did the cumulative test

Find the mean of the data in the bar chart below.
puppets
Puppets made by each puppeteer
5
Number of puppets
0
Alex
Kalin
Bruce
Davi
Puppeteer




Just look at the picture

Answers

Answer:

2.5

Step-by-step explanation:

the mean, better known as the average, can be found by finding the sum of  all numerical data and dividing by the amount of your data. so 1+4+3+2=10 and 10 divided by 4=2.5

Answer:

2.5

Step-by-step explanation:

Suppose you deposit a principal amount of p dollars in a bank account that pays
compound interest. If the annual interest rate r (expressed as a decimal) and the bank
makes interest payments n times every year, the amount of money A you would have
after t years is given by:
A = P[1+ (r/n)]"
Find the account balance after 20 years if you started with a deposit of $1000, and the
bank was paying 4% interest compounded quarterly (4 times a year). Round your
answer to the nearest cent.
Answer:

Answers

Answer:

$2216.72

Step-by-step explanation:

Simply plug in your known variables into the formula:

a = 1000

r = 0.04 (4%)

n = 4

t = 20

A = 1000(1 + 0.04/4)⁴⁽²⁰⁾

A = 1000(1 + 0.01)⁸⁰

A = 1000(1.01)⁸⁰

A = 1000(2.21672)

A = 2216.72

ordered pair please help

Answers

Answer:

PLS PLS DO MARK MY ANSWER AS THE BRAINLIEST......

Step-by-step explanation:

P -  ( 2, -3)  - 4TH QUADRANT

Q - (-3,-2) - 3RD QUADRANT

R - (1,3) - 1ST QUADRANT

S -(-2,2) - 2ND QUADRANT

Answer:

P -  ( 2, -3)  - 4TH QUADRANT

Q - (-3,-2) - 3RD QUADRANT

R - (1,3) - 1ST QUADRANT

S -(-2,2) - 2ND QUADRANT

help me pls
Tell whether lines m and n must be parallel from the given
Information. If they are, state your reasoning.

Answers

Answer:

The first one isn't the second one is.

Step-by-step explanation:

In the first one, they have to be equal because they're corresponding angles so m and n are parallel.

In the second one, m<2 and m<3 would be supplementary and add up to 180 degrees if the lines were parallel and since they don't add up to 180, the lines are not parallel.

First one isn’t second one is

Katrina owns a dance studio and offers four classes a day for $28.00 each, with 10 people maximum per class. If she decides to offer a 25% discount on the two morning classes offered one day, and all four classes reach the maximum number of people attending, how much money will Katrina make that day?

Answers

Answer:

$980

Nvm you have to multiply 98 by 10 since there are 10 participants. :)

Step-by-step explanation:

Well, first we wanted to find how much the morning classes cost together. You have to $28 multiplied with 75/100. I am multiplying it with 75/100 instead of 25/100 because the discount cuts off the 25% and the 75% is what you still have to pay. This will give you 2100/100 which is $21. Now you have to multiply $21 with 2 since there are two morning classes. $21 x 2 equals $42. Total for Morning Classes is $42.

Now the other two classes don't have a discount. So all you have to do is $28 x 2 or $28 + $28. This gives you $56. Total for The Other Classes is $56.

Last Step:

Total for Morning Classes + Total for the Other Classes = $56 + $42

                                                                                             = $98

Hope that helped! :)

Answer:

$ 980

Step-by-step explanation:

Discount for morning session = 25 % of 28 = 0.25 * 28 = $ 7

Fees for morning class = 28 - 7 = $ 21

Maximum people in one session = 10

Money earned in the morning sessions = 2 * 21 * 10 = $ 420

Money earned in the evening sessions = 2 * 28 * 10 = $ 560

Total money earned that day = 420 + 560 = $ 980

(b) Graph the equation x – 2y = 3​

Answers

Answer:

Hey there!

Look at the image below ↓

Hope this helps :)

The graph of the given equation  x – 2y = 3​ is attached below.

How to find the function which was used to make graph?

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it. If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

We are given that the equation as;

x – 2y = 3​

Therefore, it can be write as;

-2y = -x + 3

-y = -x/2 + 3

Here the slope is -1/2.

Hence, the graph of the given equation  x – 2y = 3​ is attached below.

Learn more about finding the graphed function here:

https://brainly.com/question/27330212

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HLP ! HLP ! Please and thank you

Answers

Answer:

Yes, it is an exponential function. The base is 2.

Step-by-step explanation:

As you can see, the function is f(x) = 2^(2x).

Since there is an exponent, the function is exponential. Graphing functions is another way to make sure if it's exponential or not.

The base is 2 because 2x, the exponent, is applied to it.

---

I hope this helps, let me know if you have any questions.

Yes ! Woah that person is correct C;

FIRST GET BRAINNLEST Noam spins the spinner below 1000 times. Predict how many times the spinner landed on red.

Answers

Answer:

1/4

Step-by-step explanation:

Given:

Colors

Yellow 1

Red 1

Blue 2

Total 4

Required:

Times that the spinner landed on red=?

Formula:

Probability=Successful outcome ÷ Possible outcome.

Solution:

Probability=Successful outcome ÷ Possible outcome

Probability=1÷4

Probability=1/4

Hope this helps ;) ❤❤❤

Answer:

about 125 times

Step-by-step explanation:

How many different 2-digit numbers are there with the following property: the tenth digit is greater than the units digit?

Answers

Step-by-step explanation:

2 digit numbers are beetween 10 and 99

We are looking for numbers in wich the unit digits is less than the ten digit

we can make notice something about this numbers

102030405060708090

0 is the smallest postive integer so all these numbers satisfy the condition

so we have now 9 numbers

here is another remark :

0 < 1 < 2 < 3 <4 <5 <6 < 7 < 8 < 9

numbers from 91 to 99 satisfy the condition except 99

so here are 8 other numbers

numbers from 80 to 89 satisfy the condition except 88 and 89

so here are 7 other numbers

the numbers that satisfy the  keeps decreasing by 1 each time

8 (91⇒98) 7    81⇒88 + 806     71⇒76 + 705      61⇒ 65   +604      51⇒ 54  + 50 3      41⇒ 43   + 402     31⇒32     + 301        21     + 20

so the total number of numbers that satisfy the condition

9+8+7+6+5+4+3+2+1= 45

EXPERTS ONLY its not 0 or 128 In how many ways can you put seven marbles in different colors into four jars? Note that the jars may be empty.

Answers

Answer:  16384

Step-by-step explanation:

Given, Total jars = 4

Total marbles = 7

Since we need to put marbles in 4 different jars, we need to choose a jar each time.

Possible choices for jars =4

Number of time we need to choose = number of marbles

So, by fundamental counting principle, we have

Total ways to put 7 marbles in 4 jars = [tex]4\times4\times 4\times 4\times4\times 4\times 4[/tex]

[tex]=4^7\\\\=16384[/tex]

Hence, the required number of ways =16384

Jenny has nine marbles, but her best friend Susie gives her ten more! However, the neighborhood bully, Danny, steals four marbles from her. Jenny's marbles are all of very high quality, so she trades each of her marbles for three of John's marbles apiece. The very next day is Jenny's birthday so she receives seven marbles from her parents, and finally gives two to her sister. How many marbles does she have now?

Answers

Answer:

Jenny has 50 marbles

Step-by-step explanation:

I find it easiest to right down the numbers as I read the question,

(9+10-4) x3 +7-2

Are the arcs below congruent?

A. No, because the ares do not have the same measure.
B. There is not enough information to determine.
C. No because the ares are not oriented the same
D. Yes because the ares have the same measure.

Answers

Answer:

A

Step-by-step explanation:

Answer:

B

You do not have enough information to solve the question.

Graph the line with: a slope of -5 and y intercept of 4. PLEASE HELP

Answers

The y intercept of 4 means the graph crosses the vertical y axis at 4. More specifically this location is (0,4)

Start at (0,4) and move down 5 units and then move to the right 1 unit. You should arrive at (1,-1). The movement rule of "down 5, over to the right 1" is taken exactly from the slope of -5 = -5/1.

After plotting the two points (0,4) and (1,-1), draw a straight line through them both. Extend this line as far as you can in either direction. The graph is now completed.

In summary, this line goes through (0,4) and (1,-1)

Side note: The equation of this line is y = -5x+4. It is in slope intercept form.

The graph of the linear equation y = -5x + 4 is in the image at the end.

How to graph the linear equation?

Here we want to do the graph of a line where the slope is -5 and the y-intercept is 4.

Then we can write the line as:

y = -5x + 4

To graph the line, we need to find two points on the line, to find these points just evaluate the function in two values.

if x = 0

y = -5*0 + 4

y = 4 ---> we have the point (0, 4)

if x = 1

y = -5*1 + 4 = -1  ---> we have the point (1, -1)

Now graph these two points and connect them with a line, you will get a graph like the one below.

Learn more about linear equations at:

https://brainly.com/question/2030026

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Suppose the function ƒ(t) = et describes the growth of a colony of bacteria, where t is hours. Find the number of bacteria present at 5 hours. Question 11 options: A) 79.432 B) 8.155 C) 59.598 D) 148.413

Answers

Answer:

The number of bacteria present at 5 hours is 148.413

Step-by-step explanation:

Function: [tex]f(t)=e^t[/tex]

This function describes the growth of a colony of bacteria, where t is hours.

We are supposed to find the number of bacteria present at 5 hours.

So, Substitute t = 5

So, the number of bacteria present at 5 hours =[tex]e^5[/tex]

The number of bacteria present at 5 hours = 148.413

So, Option D is true

Hence the number of bacteria present at 5 hours is 148.413

Using the ruler postulate, find the distance between-9 and 2.

Answers

Answer:

11

Step-by-step explanation:

Write the following decimals as fractions.

Answers

Answer:

5a.    0.2823 = 2823/10000                        5b.   0.5474 = 2737/5000

6a.    0.3484 = 871/2500                              6b.   0.5 = 1/2

7a.   0.11 = 1/9                                                7b.    0.1224 = 153/1250

Which congruence theorems can be used to prove ΔEFG ≅ ΔJHG? Select two options.

Triangles E F G and J H G are connected at point G. Sides F G and and G H are congruent. Sides E F and H J are parallel.

HL
SAS
SSS
ASA
AAS

Answers

Answer:

ASA  and AAS

Step-by-step explanation:

We do not know if these are right triangles; therefore we cannot use HL to prove congruence.

We do not have 2 or 3 sides marked congruent; therefore we cannot use SSS or SAS to prove congruence.

We are given that EF is parallel to HJ.  This makes EJ a transversal.  This also means that ∠HJG and ∠GEF are alternate interior angles and are therefore congruent.  We also know that ∠EGF and ∠HGJ are vertical angles and are congruent.  This gives us two angles and a non-included side, which is the AAS congruence theorem.

Since EF and HJ are parallel and EJ is a transversal, ∠JHG and ∠EFG are alternate interior angles and are congruent.  Again we have that ∠EGF and ∠HGJ are vertical angles and are congruent; this gives us two angles and an included side, which is the ASA congruence theorem.

The congruence theorems that can be used to prove ΔEFG ≅ ΔJHG are; ASA and AAS

It is impossible to know if these are right triangles from the information given;

On this note, only one side of each triangle is marked congruent;

Hence, we are unable use SSS or SAS to affirm congruence.

Additionally, since EF is parallel to HJ. Therefore, line EJ is a transversal. This also means that ∠HJG and ∠GEF are alternate (z-angles) interior angles and are therefore congruent.

Similarly, ∠EGF and ∠HGJ are vertical angles and are congruent. We have therefore established the AAS congruence theorem.

Since EF and HJ are parallel and EJ is a transversal, ∠JHG and ∠EFG are alternate (z-angles) interior angles and are congruent.

Similarly, ∠EGF and ∠HGJ are vertical angles and are congruent; This gives us two angles and an included side, which is the ASA congruence theorem.

Read more on congruence theorems:

https://brainly.com/question/2102943

*PLEASE ANSWER ASAP* What is the area of this polygon on a coordinate plane?

Answers

Answer:

A. 14 square units

Step-by-step explanation:

Hey there :)

Well let's find the area of each individual rectangles.

Let's start with the side rectangle.

It has dimensions of 5*1 = 5.

5 square units

Now the 3 rectangles left have dimensions of 3*1=3,

3*3 = 9.

5+9=14

14 square units

Answer:

A, 14 square units

Step-by-step explanation:

What I would do is separate them into 4 shapes like the picture below

Because all of the shapes are rectangles, you can use the formula

[tex]A=L*W[/tex]

For shape #1, the length is 1 and the width is 3. Plot the numbers

[tex]A=1*3[/tex]

Multiply 1 by 3 to get

[tex]A=3[/tex]

The area of shape #1 is 3

The length and width of shape #2 and 3 are the same as 1, so you can multiply the area of shape #1 by 3 to get

[tex]3*3[/tex]

[tex]9[/tex]

The area of shape #1, 2, and 3 are 9.

Next, you want to find the area of shape #4 which has a length of 5 and a width of 1.

Use the same formula to get

[tex]A=5*1[/tex]

Multiply 5 by 1 to get

[tex]A=5[/tex]

The area of shape #4 is 5

The way to find the surface area of the whole figure is to add the area of all the shapes individually, or do what I did and add 5, to 9

[tex]A=5+9[/tex]

This gives you your answer which is

[tex]A=14[/tex]

Hope this helps.

Feel free to ask any more questions if you are confused.

Have a great day! :)

Alice is building a caterpillar habitat for some caterpillars she found in her back yard. She plans to cover all sides of the habitat with screen so the caterpillars get plenty of fresh air. What is the total amount of screen that Alice will need for her habitat? Give an exact answer (do not round).

Answers

Answer:

SA = 3.04m²

Step-by-step explanation:

SA = 2 x ( Length x Width + Width x Height + Length x Height )

SA = 2 x ( 0.4 x 1 + 0.4 x 0.8 + 1 x 0.8 )

SA = 2 x ( 0.4 + 0.32 +0.8)

SA = 2 x 1.52

SA = 3.04 m²

I wish this could help you !

Answer:

3.04 is the correct answer =)

Step-by-step explanation:

5. a) A business company made a profit of Rs 24,00,000 in the last year. The management decided to distribute 20 % bonus from the profit to its 30 employees.

( i ) Find the bonus amount received by each employee.

(ii) By what percent should the bonus be increased so that each employee can receive Rs 20,000?

(iii) What should be the profit of the company so that it can provide Rs 20,000 to each employee at 20 % bonus?

Answers

Answer:

a) = Rs 16000

b) = 5%

c) = Rs 30,000,000

10% = 24,000,00/10 = Rs 240,000

20% = 240,000 x 2 = Rs 480,000

480,000/30 = Rs 16000

b) The bonus percentage needs to be increased by 5%

explanation:

Since every worker needs Rs 20000 we need to times it by 30

20000 x 30 = Rs 600,000

600,000 - 480,000 = Rs 120,000

Now we need to find the percentage of Rs 120,000

10% = Rs 240,000

5% = 240,000 divide by 2 = Rs 120,000

This is the best I can do for now please let me know if you understood the answer!

Answer:

1.Rs.16000

2.Bonus rate:25%

3.profit:Rs.3000000

Step-by-step explanation:

Case 1

Profit=Rs.2400000

Bonus Rate:20%

No.of employees =30

Now,

Bonus = (Bonus Rate of Profit) / no. Of employees

= 20% of Rs.2400000 / 30

= Rs. 16000

Case 2

Bonus=Rs.20000

Profit=Rs.2400000

Bonus rate=?

Now,

Bonus=bonus rate of profit / no. Of employees

Or,Rs. 20000 = Bonus rate × Rs. 2400000/30

Or, Rs. 20000=Bonus rate × Rs. 80000

Or,Rs.20000/Rs.80000 = Bonus rate

Bonus rate = 1/4=25%

Case 3

Bonus=Rs.20000

Bonus Rate = 20%

Now,

Bonus = bonus Rate of profit / no.of employees

Or, Rs. 20000 = 20% × Profit / 30

Or, Rs. 20000 × 30 / 0.2 = profit

Profit= Rs. 3000000

I hope it helped you

What is the function rule represented by the following table? x y 0 0 1 -2 -2 4 y = -x - 1 y = -2x y = x - 3 y = -3x + 2

Answers

Answer:

[tex]y = -2x[/tex]

Step-by-step explanation:

Given

x || 0 || 1 || -2

y || 0 ||  -2 || 4

Required

Determine the function rule

First, we have to determine the slope of the function using;

[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]

Where x and y represent any two corresponding values of x and y

When x = 0; y = 0  [tex](x_1,y_1)[/tex]

When x = 1; y = -2  [tex](x_2,y_2)[/tex]

Substitute these values in [tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]

[tex]m = \frac{0 - (-2)}{0 - 1}[/tex]

[tex]m = \frac{0 +2}{0 - 1}[/tex]

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

[tex]m = -2[/tex]

Next, is to determine the function rule; using slope intercept form as follows;

[tex]y - y_1 = m(x - x_1)[/tex]

Take any corresponding values of x and y as x1 and x2

When x = -2; y = 4

[tex]y - y_1 = m(x - x_1)[/tex] becomes

[tex]y - 4 = -2(x - (-2))[/tex]

[tex]y - 4 = -2(x + 2)[/tex]

Open the bracket

[tex]y - 4 = -2x -4[/tex]

Add 4 to both sides

[tex]y - 4 + 4 = -2x - 4 + 4[/tex]

[tex]y = -2x[/tex]

Hence, the function rule is [tex]y = -2x[/tex]

Answer:

y = -2 x - 1

Step-by-step explanation:

SOMEONE PLS HELP PRECALCULUS

Answers

Sine is negative in quadrants 3 and 4, when y < 0.

Tangent is negative for quadrants 2 and 4, when y/x < 0. Basically when x and y differ in sign (one is positive, the other is negative)

The common quadrant mentioned is quadrant 4.

Quadrant 4 has angles that are between 270 degrees and 360 degrees

So we have [tex]270^{\circ} < \theta < 360^{\circ}[/tex]

Answer: Choice D

If you're good at bearings please help me

A plane, P, takes off from an airport, A, at 10:15 a, and flies on a bearing S30E at a speed of 700 km/h


Question one
How far due south of the airport, A, is the plane at 1:45 pm?

Question two
What's the compass bearing of the airport from the plane then?

Answers

Answer:

Question one

2121.76 km

Question two

(N30°E)

Step-by-step explanation:

The given information are;

The time the plane takes off = 10:15 a.m.

The direction of flight of the plane = S30E

The speed of flight of the plane = 700 km/h

Question one

The of flight at 1:45 p.m. - 10:15 a.m = 3.5 hours

The distance traveled South by the plane is the product of the y-component of the velocity and the time of travel of the plane

The y-component of the velocity = v×cos(θ) = 700 × cos(30) =  350·√3 km/h

The distance traveled = 350·√3 km/h × 3.5 = 2121.76 km

Question two

The compass bearing of the airport the plane is North 30° West (N30°E).

To solve the equation w/8 - 4 = 20, you would first add 4 to each side and then divide each side by 8. TrueFalse

Answers

Answer:

False

Step-by-step explanation:

The first part is correct because adding 4 to each side will help isolate the variable w, but since w is divided by 8 already you would want to multiply by 8 instead, so dividing each side by 8 would not work.

True I believe but don’t quote me on that

Question 8 Multiple Choice Worth 1 points)
(03.08 MC)
Two different plants that grow each month at different rates are represented by the functions f(x) and g(x). In what month does the height of the
f(x) plant exceed that of the g(x) plant?
Month (x) f(x) = 3* g(x) = 5x + 12
1
3
17
2.
9
22
O Month 3
O Month 4
O Month 5
O Month 6

Answers

Answer:

Option B.

Step-by-step explanation:

Note: The function f(x) is not in correct format it must be [tex]f(x)=3^x[/tex].

It is given that two different plants that grow each month at different rates are represented by the functions f(x) and g(x).

Let as consider the two functions,

[tex]f(x)=3^x[/tex]

[tex]g(x)=5x+12[/tex]

Now, table of values is

Month(x)        [tex]f(x)=3^x[/tex]           [tex]g(x)=5x+12[/tex]

    1                      3                          17

    2                     9                         22

    3                     27                        27

    4                     81                        32

From the above table it is clear that in first and second month the height of the f(x) plant is less than of g(x).

In month 3, heights are equal.

In month 4, height of the f(x) plant exceed that of the g(x) plant.

Therefore, the correct option is B.

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