show that (2x+3)^3 = 8x^3+36x^2+54x+27 for all values of x

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

Given

(2x + 3)³

= (2x + 3)(2x + 3)(2x + 3) ← expand the last 2 factors using FOIL

= (2x + 3)( 4x² + 12x + 9)

= 2x(4x² + 12x + 9) + 3(4x² + 12x + 9) ← distribute parenthesis

= 8x³ + 24x² + 18x + 12x² + 36x + 27 ← collect like terms

= 8x³ + 36x² + 54x + 27


Related Questions

a zookeeper has both flamingos and alligators in his zoo there are 78 feet and 27 heads how many flamingos and aligators are there

Answers

Answer:

15 flamingos and 12 alligators

Step-by-step explanation:

Because there are 27 heads, that means there is a total of 27 flamingos and alligators. Flamingos have 2 feet and alligators have 4 feet.

1. Set up a system of equations

(x = number of flamingos, y = number of alligators)

1x + 1y = 27 heads

2x + 4y = 78 feet

2. Multiply to get the same coefficient

2(1x + 1y = 27) → 2x + 2y = 54

3. Subtract

 2x + 2y = 54

- 2x + 4y = 78

 0x + -2y = -24

4. Solve for y

-2y = -24

y = 12

5. Plug in y to solve for x

1x + 1(12) = 27

x + 12 = 27

x = 15

Given that ΔABC is a right triangle with the right angle at C, which of the following is true?

1. tan A = 1/(tan B)
2. tan A = sin B
3. cos A = 1/(cos B)
4. sin B = 1/(sin A)

Answers

Answer:

1. tan A = 1/(tan B)

Step-by-step explanation:

By definition,

tangent A = opposite / adjacent = a / b

and

tangent B = opposite / adjacent = b / a

Therefore tangent A = a/b = 1/tan(B)

Answer: Tan a=tan b

I belive

Step-by-step explanation:

The perimeter of a rectangle is 62 cm. The diagonal and width of the rectangle are 25 cm and x cm respectively.
Form a quadratic equation in terms of x based on the situation. ​

Answers

Step 1:

62cm - (25*2)=12cm

62-25=37cm

Length for both sides 25

Width=37cm=x

What is the volume of this rectangular prism?
4/3
4/3
4/3

Answers

Answer:

[tex]\frac{64}{27}[/tex] cm³

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = lbh ( l is length, b is breadth and h is height ), thus

V = [tex]\frac{4}{3}[/tex] × [tex]\frac{4}{3}[/tex] × [tex]\frac{4}{3}[/tex] = [tex]\frac{4^3}{3^3}[/tex] = [tex]\frac{64}{27}[/tex] cm³

Answer:

64/27 would be your answer.

Step-by-step explanation:

I am more than happy to answer anymore questions. If needed an explanation I can put one in the comments.

5 diferrent representations of the value 3​

Answers

Does this mean:
1x3=3
4-1=3
2+1=3
5-2=3
6/2=3
?

Answer:

3

= 15/5

= [tex]\sqrt[3]{27}[/tex]

= 1.5*2

= 3/1

= 3*1

= 3¹

= 1/3⁻¹

= 3⁴ / 3³

= 3⁵ * 3⁻⁴

Three-fourths of the voters supported the bond measure. If there were
8000 voters, how many supported the bond measure?

Answers

Answer:

6000

Step-by-step explanation:

Divide top and bottom by the common factor.  

[tex]\dfrac{3 }{4} \times 8000 = 3 \times 2000[/tex]

Simplify

3 × 2000 = 6000

4. The rental for a television set changed from $80 per year to $8 per month
What is the percentage increase in the yearly rental?​

Answers

Answer:

16%

Step-by-step explanation:

rental charge per year = $80

rental charge at the rate $8 per year = 8 * 12 = 96

the increased amount = 96 - 80 = 16

% = 16 / 100 = 16%

Point E is on line segment DF. Given DE=9 and DF=11, determine the length EF.

Answers

Answer:

EF = 2 units

Step-by-step explanation:

Given:

Line segment DF and point E on it.

DF = 11 unit

DE = 9 Unit

Find:

EF

Computation:

We know that,

DF = DE + EF

11 = 9 + EF

EF = 11-9

EF = 2 units

A student earned grades of ​, ​, ​, ​, and . Those courses had the corresponding numbers of credit hours ​, ​, ​, ​, and . The grading system assigns quality points to letter grades as​ follows: A​4; B​3; C​2; D​1; F 0. Compute the grade point average​ (GPA) as a weighted mean and round the result with two decimal places. If the​ Dean's list requires a GPA of 3.00 or​ greater, did this student make the​ Dean's list

Answers

Answer:

grade point average​ (GPA) as a weighted mean = 3.14

Yes, student makes the Dean's list.

Step-by-step explanation:

Since the data is not given I will explain the question with a relevant example:

For example

Data:

Students grades are:  A, C, B, A, D

The corresponding number of credit hours: 3, 3, 3, 4, 1

The grading system assigns quality points to letter grades as​:

A = 4

B = 3

C = 2

D = 1

F = 0

To find:

grade point average​ (GPA) as a weighted mean

If the​ Dean's list requires a GPA of 3.00 or​ greater, did this student make the​ Dean's list?

Solution:

Weighted Mean =   Σx[tex]_{i}[/tex] w[tex]_{i}[/tex] / Σw[tex]_{i}[/tex]

Here

Using the earned grades of A, C, B, A, D and corresponding quality points to these letter grades we get:

A = 4

C = 2

B = 3

A = 4

D = 1

So the values in x[tex]_{i}[/tex] are:

x

4

2

3

4

1

Now the number of credit hours are represented as weights w[tex]_{i}[/tex] :

w

3

3

3

4

1

In order to calculate weighted mean first multiply x[tex]_{i}[/tex] with w[tex]_{i}[/tex]

x[tex]_{i}[/tex] w[tex]_{i}[/tex]

4 * 3 = 12

2 * 3 = 6

3 * 3 = 9

4 * 4 = 16

1 * 1 = 1

The sum of x[tex]_{i}[/tex] w[tex]_{i}[/tex] is :

Σx[tex]_{i}[/tex] w[tex]_{i}[/tex] = 12 + 6 + 9 + 16 + 1 = 44

Σx[tex]_{i}[/tex] w[tex]_{i}[/tex]  =  44

Now compute the sum of w[tex]_{i}[/tex]

Σw[tex]_{i}[/tex] = 3 + 3 + 3 + 4 + 1 = 14

Σw[tex]_{i}[/tex] = 14

Putting the values in the weighted mean formula:

Weighted Mean =   Σx[tex]_{i}[/tex] w[tex]_{i}[/tex] / Σw[tex]_{i}[/tex]

                           =  44 / 14

                           = 3.1429

Weighted Mean =   Σx[tex]_{i}[/tex] w[tex]_{i}[/tex] / Σw[tex]_{i}[/tex] = 3.14

Since the​ Dean's list requires a GPA of 3.00 or​ greater and the grade point average​ (GPA) as a weighted mean of the student is 3.14 so the student makes the​ Dean's list because his/her GPA is higher than 3.00

The perpendicular distance of the point from x axis is 2 units and the perpendicular distance from y axis is 3 units.Write the co-ordinates of the if it lies in

Answers

Answer:

Step-by-step explanation:

Given that :

the  perpendicular distance of the point from x axis = 2 units

the perpendicular distance from y axis is 3 units

The objective is to the write the coordinates of the points if it lies in

(i) | Quadrant  (ii) || Quadrant (iii) ||| Quadrant (iv) |v Quadrant

The position of a point in a plane is conveniently specified by the distances fro two perpendicular lines.The lines are called the x-axis and y-axis and their [point of intersection is called the origin.

The perpendicular distance from the y-axis is called the x- coordinate or abscissa and the perpendicular distance from x-axis is called the y-coordinate or ordinate,The  coordinate form an ordered pair with the abscissa written as first.

With that be said, So In the given question,

the  perpendicular distance of the point from x axis = 2 units

y coordinate = ±2

the perpendicular distance from y axis is 3 units

x coordinate = ±3

The ordered pair of the coordinates = ( ±3, ±2)

Therefore;

in | quadrant ; we have (3,2)   where  x and y are both on the positive axis

in || quadrant ; we have (-3,2)   x is on the negative axis and y is on the positive axis

In ||| quadrant ; we have (-3. -2) both x and y are on the negative axis

In |v quadrant ; we have ( 3, -2)  x is on the positive axis and y is on the negative axis.

Find the derivative of f(x) = -2x2 + 11x at x = 9.

Answers

Answer:

The value of the derivative at x = 9 is -25

Step-by-step explanation:

Here in this question, we are told to find the derivative of the given equation at the point where x = 9

What we need to do here is simply, differentiate f(x), then substitute that value x = 9 into the differentiated equation

In notation form, what we are to find is f’(9)

So;

f(x) = -2x^2 + 11x

f’(x) = -4x + 11

So therefore;

f’(9) = -4(9) + 11

f’(9) = -36 + 11

f’(9) = 11-36

f’(9) = -25

(8x 2 −15x)−(x 2 −27x)=ax 2 +bxleft parenthesis, 8, x, squared, minus, 15, x, right parenthesis, minus, left parenthesis, x, squared, minus, 27, x, right parenthesis, equals, a, x, squared, plus, b, x If the equation above is true for all values of xxx, what is the value of b-ab−ab, minus, a ?

Answers

Answer:

5

Step-by-step explanation:

Given the expression (8x² −15x)−(x² −27x) = ax² +bx, we are to determine the value of b-a. Before we determine the vwlue of b-a, we need to first calculate for the value of a and b from the given expression.

On expanding the left hand side of the expression we have;

= (8x² −15x)−(x² −27x)

Open the paranthesis

= 8x² −15x−x²+27x

collect the like terms

= 8x²−x²+27x −15x

=  7x²+12x

Comparing the resulting expression with ax²+bx

7x²+12x =  ax²+bx

7x² = ax²

a = 7

Also;

12x = bx

b =12

The value of b - a = 12 - 7

b -a = 5

Hence the value of b-a is equivalent to 5

The value of b minus a is 5

Calculation of the value:

Since the expression is

[tex](8x^2 -15x)-(x^2 -27x) = ax^2 +bx[/tex]

Here we have to expand the left-hand side of the expression so it should be like

[tex]= (8x^2 -15x)-(x^2 -27x)\\\\= 8x^2 -15x-x^2+27x\\\\= 8x^2-x^2+27x -15x\\\\= 7x^2+12x[/tex]

Now

[tex]7x^2+12x = ax^2+bx\\\\7x^2 = ax^2[/tex]

a = 7

Also;

12x = bx

b =12

So,

The value of b - a = 12 - 7

b -a = 5

Hence the value of b-a should be 5

Learn more about equation here: https://brainly.com/question/24540444

u and v are position vectors with terminal points at (-1, 5) and (2, 7), respectively. Find the terminal point of -2u + v.

Answers

Answer: (4, -3)

==================================================

Work Shown

We'll be using these vector properties

Rule 1: (a,b) + (c,d) = (a+c, b+d)Rule 2: k*(a,b) = (k*a, k*b)

To get the following

-2u + v = -2*(-1, 5) + (2,7)

-2u + v = (-2*(-1), -2*5) + (2,7) .... apply rule 2

-2u + v = (2, -10) + (2, 7)

-2u + v = (2+2, -10+7) .... use rule 1

-2u + v = (4, -3)

An octagonal pyramid ... how many faces are there, how many vertices and how many edges? A triangular prism ... how many faces are there, how many vertices and how many edges? a triangular pyramid ... how many faces are there, how many vertices and how many edges?

Answers

1: 8 faces and 9 with the base 9 vertices and 16 edges

2: 3 faces and 5 with the bases 6 vertices and 9 edges

3: 3 faces and 4 with the base 4 vertices and 6 edges

Answer:.

Step-by-step explanation:.

Hello, a quick question which number is least to greatest 0.359, 0.35, 1

Answers

Answer:

0.35, 0.359, 1

Step-by-step explanation:

0.359 = 359 thousandths

0.35 = 0.350 = 350 thousandths

1 = 1.000 = 1000 thousandths

Since 350 < 359 < 1000, then from least to greatest you get

0.35, 0.359, 1

solve 4w–3w+2w=24
Please

Answers

We need to simplify the left side first.

On the left side, all the terms can be combined.

So 4w - 3w + 2w is 3w.

So we have 3w = 24.

Next, dividing both sides by 3, we have w = 8.

So our solution is w = 8.

Answer

[tex] \boxed{ \huge{ \bold{ \sf{ \boxed{w = 8}}}}}[/tex]

Step by step explanation

[tex] \sf{4w - 3w + 2w = 24}[/tex]

Collect like terms

⇒[tex] \sf{w + 2w = 24}[/tex]

⇒[tex] \sf{3w = 24}[/tex]

Divide both sides of the equation by 3

⇒[tex] \sf{ \frac{3w}{3} = \frac{24}{3} }[/tex]

Calculate

⇒[tex] \sf{w = 8}[/tex]

Hope I helped!

Best regards!!

Given: -1/2x > 6. Choose the solution set. A {x | x R, x > -12} B{x | x R, x > -3} C{x | x R, x < -3}D {x | x R, x < -12}

Answers

Answer:

D

Step-by-step explanation:

-1/2x > 6 (you have to flip the sign when you multiply or divide by negative

x < -12

Jack is building a square garden. Each side length measures 777 meters. Jack multiplies 7\times77×77, times, 7 to find the amount of space in his garden is equal to 494949 square meters. Which measurement does 494949 square meters represent?

Answers

Answer:

49 square meters represent area of the square garden

Step-by-step explanation:

Each side length=7 meters

He multiplied 7 × 7 times to find the amount of space

=49 square meters

Jack is trying to measure the area of his square garden

Area of the square garden = length^2

=Length × length

Recall,

Length=7 meters

Area of the square garden= 7 meters × 7 meters

=49 square meters

10. In 2005 there were 9 million bicycles in Beijing, correct to the
nearest million.
The average distance travelled by each bicycle in one day was
6.5 km correct to one decimal place.
Work out the upper bound for the total distance travelled by all the
bicycles in one day,

Answers

Answer:

Total distance = 6,540,000 km

Step-by-step explanation:

Given

Number of bicycles = 9,000,000

Average Distance = 6.5 km (to 1 d.p)

Required

Calculate the upper bound of all bicycle distance

First, we need to determine the range of the distance traveled by each bicycle;

Since, the average distance is approximated, then the Range is:

[tex]Range = (6.45km\ to\ 6.54km)[/tex]

All number in this range approximate to 6.5km

Note that the upper bound of the range is 6.54km;

Hence, total distance is calculated as thus;

[tex]Total\ distance = Number\ of\ bicycle * upper\ bound[/tex]

[tex]Total\ distance = 1,000,000 * 6.54km[/tex]

[tex]Total distance = 6,540,000km[/tex]

can u help me. where do u plot it. what is x and what is y

Answers

Answer:

Step-by-step explanation:

for the first equation x= -2 and y=-7

the second equation x=3 and y is 3 now just plot x and y from the same equation on the same line

Answer:

[tex]\huge\boxed{x = -4; y = 7}[/tex]

Step-by-step explanation:

By plotting the points, we see that both of the lines intersect at (-4, 7)

Which means (X,y) = (-4,7)

So,

x = -4

y = 7

See the attached file so that you can know how would it be graphed.

Pls help me , idk how to do

Answers

Answer:

  PQRS is a parallelogram with right-angle corners

Step-by-step explanation:

We know that the midsegment of a triangle is parallel to the base.

  QR is the midsegment of triangle BCD, so is parallel to BD.

  SP is the midsegment of triangle DAB, so is parallel to BD.

QR and SP are both parallel to BD, so are parallel to each other.

  RS is the midsegment of triangle CAD, so is parallel to AC.

  PQ is the midsegment of triangle ABC, so is parallel to AC.

RS and PQ are both parallel to AC, so are parallel to each other.

__

We have shown that opposite sides of PQRS are parallel to each other, so the figure is at least a parallelogram.

__

By virtue of the congruence of corresponding angles where a transversal crosses parallel lines, each of the so-far named lines can be shown to be perpendicular to any of the lines it meets.* Hence the figure PQRS must be a parallelogram with right angles, a rectangle.

_____

* Transversal BD crosses PQ, AC, and RS at right angles. Hence, transversals RS and PQ cross QR, BD, and SP at right angles. That is, the angles at corners P, Q, R, and S of the parallelogram are right angles.

What is the area of this composite figure?

Answers

Answer:

C.) 7.14 in²

Step-by-step explanation:

The figure is made up of a square and a circle. The circle is divided in half and each piece is set on one side of the square. This means that the diameter of the circle is equal to the length of the sides of the square, 2 inches.

The area of the square can be found by multiplying length times the width:

[tex]2*2=4[/tex]

The area of the square is 4 inches, and since we multiplied two lengths, we square the value:

A=4in²

Now find the area of the circle using the formula:

[tex]A=\pi r^2[/tex]

The radius is half of the diameter, so the radius is 1. Insert values and solve:

[tex]A=\pi *1^2\\\\A=\pi *1\\\\A=\pi[/tex]

The area of the circle is equal to π. Add the values together:

[tex]4+\pi =7.14[/tex]

The area of the figure is 7.14 in²

:Done


Ifx= 15t2 and y= 10t2, find dy by
dx​

Answers

Answer:

2/3

Step-by-step explanation:

dy/dx equals derivative of y by x

dy/dx=20t/30t=2/3

5
What is the equation, in point-slope form, of the line that
is parallel to the given line and passes through the point
(-3, 1)?
4
3
2
(-3, 1)
42.27
1
5 4 3 2 1
2 3 4 5 x
y-1=-{(x+3)
y-1=-{(x + 3)
y-1= {(x + 3)
y-1= {(x + 3)
(-2, 4)

Answers

Answer: [tex]y-1=\dfrac32(x+3)[/tex]

Step-by-step explanation:

Slope of a line passes through (a,b) and (c,d) = [tex]\dfrac{d-b}{c-a}[/tex]

In graph(below) given line is passing through (-2,-4) and (2,2) .

Slope of the given line passing through (-2,-4) and (2,2) =[tex]\dfrac{-4-2}{-2-2}=\dfrac{-6}{-4}=\dfrac{3}{2}[/tex]

Since parallel lines have equal slope . That means slope of the required line would be .

Equation of a line passing through (a,b) and has slope m is given by :_

(y-b)=m(x-a)

Then, Equation of a line passing through(-3, 1) and has slope =  is given by

[tex](y-1)=\dfrac32(x-(-3))\\\\\Rightarrow\ y-1=\dfrac32(x+3)[/tex]

Required equation: [tex]y-1=\dfrac32(x+3)[/tex]

Graph the image of H(-8,5) after a reflection over the x-axis.

Answer ?

Answers

Answer: plot a point at (-8, -5)

The y coordinate flips from positive to negative, or vice versa, when we reflect over the horizontal x axis. The x coordinate stays the same.

The rule can be written as [tex](x,y) \to (x,-y)[/tex]


Rami goes running in Central Park every Sunday. He runs at a constant speed. He can run 6 3/5 miles in 1 2/3 hours.what is his speed In miles?​

Answers

Answer:

3 24/25 MPH

Step-by-step explanation:

We know Rami runs 6 3/5 miles in 1 2/3 hrs --> Convert into an improper fraction

--> 6 3/5 = 33/5

--> 1 2/3 = 5/3

Speed = Distance divided by Time

Distance = 33/5

Time = 5/3

33/5 / 5/3 = 33/5 x 3/5

33/5 x 3/5 = 99/25

1/25 less than 4 = 3 24/25

Thus, our answer is 3 24/25 MPH

Hope this helps!

This event is independent, true or false?



There are eight shirts in your closet, four blue and four green. You randomly select one to wear on Monday and then a different one on Tuesday.

Answers

Answer:

False

Step-by-step explanation:

Because the question says you pick a different shirt on Tuesday than on Monday, that means you have one less shirt you can select, so the event is dependent.

5 - (4 - 3x) = 10
how would u distubute in this problem

Answers

Answer:

x = 3

Step-by-step explanation:

Given

5 - (4 - 3x) = 10 ← distribute the terms in the parenthesis by - 1

5 - 4 + 3x = 10, that is

1 + 3x = 10 ( subtract 1 from both sides )

3x = 9 ( divide both sides by 3 )

x = 3

Please answer this question now

Answers

Step-by-step explanation:

Hi, there!!!

Here, the question is about the volume of cone,

given that,

diameter = 12m

radius of a circle= 12m/2= 6m

height (h)=9 m

now, we have,

volume of a cone= 1/3×pi× r^2×h

or, v= 1/3×3.14×(6)^2×9

After simplifying it we get,

v= 339.12 m^3

Hope it helps....

Point Q is on line segment PR. Given QR=11 and PQ=3, determine the length PR.

Answers

Answer:

[tex]\huge \boxed{14}[/tex]

Step-by-step explanation:

Q is a point on the line segment PR.

PQ = 3

QR = 11

PR = PQ + QR

PR = 3 + 11 = 14

Answer:

[tex]\huge\boxed{PR = 14}[/tex]

Step-by-step explanation:

QR = 11

PQ = 3

Given that Q is on line segmant PR

So,

PR = PQ + QR

PR = 3 + 11

PR = 14

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Which element of plot does this excerpt from "The Monkey's Paw" best represent? The knocking ceased suddenly, although the echoes of it were still in the house. He heard the chair drawn back and the door opened. A cold wind rushed up the staircase, and a long loud wail of disappointment and misery from his wife gave him courage to run down to her side, and then to the gate beyond. The street lamp flickering opposite shone on a quiet and deserted road. A.Rising action B.Falling action C.Exposition D.Climax A loop of wire is at the edge of a region of space containing a uniform magnetic field B. The plane of the loop is perpendicular to the magnetic field. Now the loop is pulled out of this region in such a way that the area A of the coil inside the magnetic field region is decreasing at the constant rate c. That is, dA/dt=c, with c>0.Required:a. The induced emf in the loop is measuredto be V. What is the magnitude B of the magnetic field that the loop was in?b. For the case of a square loop of sidelength L being pulled out of the magneticfield with constant speed v, What is the rate of change of area c= -dA/dt Which of the following will most likely result in anaerobic respiration?A. Solving Algebra equationsB. RunningC. SittingD. Walking If you would like to become a physical activity professional, but you suffer from stage fright and hate to speak in front of groups, as a student your best option is to:_________ Point B is on line segment AC. Given BC=9 and AB=11, determine the length AC. What events do you think caused voters to lose faith in the political system and the nations leaders in the late 1960s and 1970s? Can you think of any events during your lifetime that may have caused voters to lose faith in the political system and nation's leaders? A student holds a bike wheel and starts it spinning with an initial angular speed of 7.0 rotations per second. The wheel is subject to some friction, so it gradually slows down.In the 10.0 s period following the inital spin, the bike wheel undergoes 60.0 complete rotations. Assuming the frictional torque remains constant, how much more time ????s will it take the bike wheel to come to a complete stop?The bike wheel has a mass of 0.625 kg0.625 kg and a radius of 0.315 m0.315 m. If all the mass of the wheel is assumed to be located on the rim, find the magnitude of the frictional torque ????ff that was acting on the spinning wheel. Habakkuk prophesied in Israel prior to the Assyrian invasion and warned that the Lord would send the Assyrians to punish the people in Samaria.A. TrueB. False Three causes and effects of self image Bunkhouse Electronics is a recently incorporated firm that makes electronic entertainment systems. Its earnings and dividends have been growing at a rate of 30%, and the current dividend yield is 2%. Its beta is 1.2, the market risk premium is 8%, and the risk-free rate is 4%. (LO13-4) a. Use the CAPM to estimate the firms cost of equity. b. Now use the constant growth model to estimate the cost of equity. c. Which of the two estimates is more reasonable? Since the beginning of the twentieth century, the United States has experienced _________ recessions. Of those, ______ have occurred since 1970. Write an expression with exponents to find the total number of panes in 12 windows. How many moles of potassium in 73.56g of potassium chlorate (V) (KClO 3 )? The two main types of e-commerce are Use the drawing tool(s) to form the correct answer on the provided number line.Will brought a 144-ounce cooler filled with water to soccer practice. He used 16 ounces from the cooler to fill his water bottle. He then tookout 16 plastic cups for his teammates and put the same amount of water in each cup. Which equation can be used to solve for x in the following diagram?PLS ANSWER I NEED HELP BRAINLIST AND A THANK YOU WILL BE REWARDED explain THREE benefits of participating in any campaign that addresses a human rights issue Use the image to answer the question below: Using the model presented, what process is being depicted? A) An electrical signal being converted to a chemical signal B) Salutatory conduction C) The transfer of neurotransmitters between axons D) The path of a steroid hormone The following specimens/slides were shown to the students: mushroom, moss, earthworm, volvox, bacteria. The teacher asked them to classify them into the five kingdoms. SP=2x+3, and LN=5x14. Find SP. A. 20 B. 86 C. 43 D. 50