What is the completely factored form of f(x)=x3+4x2+9x+36 ?
f(x)=(x+4)(x−3)(x+3)

f(x)=(x−4)(x−3i)(x+3i)

f(x)=(x+4)(x−3i)(x+3i)

f(x)=(x−4)(x−3)(x+3)

Answer:

20 square units

Step-by-step explanation:

this polygon is a trapezoid

the formula to find the area is 1/2(b1+b2)h

If you were to rotate the image counterclockwise you would see that b1 = 6 untis and b 2 is 4 units and the height would be 4 units

when you plug that into the calculator you get

1/2(6+4)4 = 20 square units

Answer:

Density = 52.8 pound per cubic feet.

Step-by-step explanation:

Given the following data;

Length = 2.5 feet

Width = 0.5 feet

Height = 0.25 feet

Mass = 16.5 pound

To find the density of the wood;

First of all, we would determine the volume of the wood.

Volume = length * width * height

Volume = 2.5 * 0.5 * 0.25

Volume = 0.3125 cubic feet

Next, we find the density;

Mathematically, density is given by the formula;

Density = mass/volume

Substituting into the formula, we have;

Density = 16.5/0.3125

Density = 52.8 pound per cubic feet.

Answer:

(f - g)(x)  = -x³ -5x² + 4x + 14

Step-by-step explanation:

        f(x) = 2x³ - 3x² + 5

       g(x) = 3x³ + 2x² - 4x - 9       subtract

(f - g)(x)  = (2-3)x³ + (-3-2)x² + (0 - -4)x + (5 - -9)

(f - g)(x)  = (-1)x³ + (-5)x² + (0 + 4)x + (5+ 9)

(f - g)(x)  = (-1)x³ + (-5)x² + (4)x + (14)

(f - g)(x)  = -x³ -5x² + 4x + 14

Answer:

1. 144.4 m²

2. 120 m³

Step-by-step explanation:

The figure is composed of a triangular prism and a rectangular prism

1. Surface area of the composite figure = (surface area of the triangular prism - area of the face joining the rectangular prism) + (surface area of the rectangular prism - the face joining the triangular prism)

✔️Surface area of the triangular prism = bh + (s1 + s2 + s3)*L

b = 5 m

h = 2 m

s1 = 3.2 m

s2 = 3.2 m

s3 = 5 m

L = 6 m

Plug in the values

Surface area of triangular prism = 5*2 + (3.2 + 3.2 + 5)*6

= 10 + (11.4)*6

= 78.4 m²

✔️Area of rectangular prism = 2(LW + LH + WH)

L = 6 m

W = 5 m

H = 3 m

Plug in the values

Area of rectangular prism = 2(6*5 + 6*3 + 5*3)

= 126 m²

✔️Area of the face joining both figures = L*W

L = 6 m

W = 5 m

Area = 6*5 = 30 m²

✅Surface area of the composite figure = (78.4 - 30) + (126 - 30)

= 48.4 + 96

= 144.4 m²

2. Volume of composite figure = volume of triangular prism + volume of rectangular prism

= ½*a*c*h + L*W*H

a = 2 m

c = 5 m

h = 6 m

L = 6 m

W = 5 m

H = 3 m

Plug in the values

Volume = ½*2*5*6 + 6*5*3

Volume = 30 + 90 = 120 m³

Answer:

50%

Step-by-step explanation:

To find our answer will will first put it into an equation as  [tex]\frac{100}{x}[/tex] × [tex]\frac{24}{12}[/tex].  Because we are cross multiplying we will multiply 100 by 12 and we get 1,200.  Now because we are solving for x we will divide 1,200 by 24, which is 50%.  Therefore, 50% is our answer.

Answer:

230.77 seconds or about 3.85 minutes (2 minutes 50.4 seconds)

Step-by-step explanation:

First I will convert the minutes into seconds to make this a little easier.

1:01.71 would just be 61.71 seconds

400/61.71 is her speed for the first race. (speed is distance/time)

That is approximately 6.5 meters per second

time is distance/speed

1500/6.5= 230.769...

I do not know what you need to round to, but Juliette would take 230.769 seconds to run the 1500 meter race.

Answer:

$-69.94

Step-by-step explanation:

Amount left after the withdrawal to fix the furnace = $400.56 - $450.50 = $-49.94

He has a negative balance for 4 days. this would attract a 5 dollar fee per day. the total fee would be $20 ( 5 x 4)

Total amount left in his account = $-49.94 - $20

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

it is c

if you need an example  tell me in the comment

Yes, this is a polynomial, but a special form of a polynomial with just one term which is called a monomial .

Answer:

10

Step-by-step explanation:

You just plug x into the expression and then you simplify:

30-2^2*x+12÷3

We know that x=6

30-(2^2)(6)+12/3

30-(4)(6)+4

30-24+4

10

Answer:

Step 1: Draw the arm PQ.

Step 2: Place the point of the compass at P and draw an arc that passes through Q.

Step 3: Place the point of the compass at Q and draw an arc that passes through P. Let this arc cut the arc drawn in Step 2 at R.

Step-by-step explanation:

Step 1: Draw AB of any length. Step 2: Place the centre of the protractor at A and the zero edge along AB. Step 3: Start with zero near B. Mark point C at 40°.

Answer:

There appears to be some part of the question missing. Assuming it asks about the volume, the volume is:

Step-by-step explanation:

The volume of a right rectangular prism may be calculated using the formula:

whl, where w is width, h is height and l is length.

In this case it is hlw or (5.8*14.5*3.5) = 294.35 cubic inches.

Answer: 8 ft

Step-by-step explanation:To find the correct answer, use the formula, V=l×w×h. Substitute 48 for the volume, 2 for width, and 3 for height. Then, use a related division equation to find the length.

48 = l × 2 × 3

48 = l × 6, so 48 ÷ 6 = l

8 = l

The length of the planter box is 8 feet.

Answer:

-6,2

Step-by-step explanation:

Answer:

x = 48

Step-by-step explanation:

36/x = x/64

x² = 36 x 64 = 2304

x = √2304 = 48

Answer:

G = - 6 . 75

Step-by-step explanation:

      10 . 8 / - 1. 6

          - 6 . 75

Answer:

[tex]P = \left[\begin{array}{ccc}0.6&0.3&0.1\\0.25&0.55&0.20\\0.05&0.4&0.55\end{array}\right][/tex]

Step-by-step explanation:

using the given data in the question

a) The Markov transition matrix

[tex]P = \left[\begin{array}{ccc}0.6&0.3&0.1\\0.25&0.55&0.20\\0.05&0.4&0.55\end{array}\right][/tex]

Note : Column 1 = A,  column 2 = B,  Column 3 = C

Row 1 = A,   Row 2 = B and ROW 3 = C

b) Question is incomplete

Answer:

Step-by-step explanation:

what

Answer:

where is the diagram

Step-by-step explanation:

Answer:

what is the MAD??????????

Step-by-step explanation:

Answer:

Answer depends on the data (not provided in your question)

Step-by-step explanation:

MAD stands for mean absolute deviation.  The definition gives clues as to how to find it.

Deviation refers to how far a number is from the mean (average) of the data

Example:  For the data  -12, 4, 12, 16, the mean of the data is (-12+4+12+16)/4 = 5.

Data  Absolute Deviation from mean

-12      |-12 - 5| = 17

 4       |4 - 5| = 1

12       |12 - 5| = 7

16       |16 - 5| = 11

Mean Absolute Deviation (MAD)

(17 + 1 + 7 + 11) / 4 = 9

Answer:

c, -6

I hope this helps you

Answer:

7300000 in scientific notation can be written as 7.3 x 10^6

Answer:

$637.10

Step-by-step explanation:

Given:

P = 600

r = 6% or 0.06

t = 1

Work:

[tex]A=Pe^{rt}\\\\A=600e^{0.06*1}\\\\A=600e^{0.06}\\\\A=637.10[/tex]

Answer:

H0 : u1 = u2 ;  H1 : u1 ≠ u2 , or specifically u1 > u2  

Step-by-step explanation:

Null Hypothesis is the neutral hypothesis , stating no difference from assumed value,  (or in this case no difference between both batteries' mean life)

Alternate Hypothesis is the special case hypothesis, stating difference from assumed value , (or in this case states difference between both batteries' mean life)

Let mean life of battery 1 & battery be b = u1 & u2 , respectively.

Null Hypothesis  [ H0 ] : u1 = u2

Alternate Hypothesis  [ H1 ] : u1 ≠ u2 , or specifically u1 > u2 { To determine if battery 1 lasts longer than battery 2 }

Answer: the Second one

Step-by-step explanation:

Hope this helps you

Answer:

30% increase

Step-by-step explanation:

Answer:

C. >

Step-by-step explanation: