Mathematics College

Express (x-12)^2(x−12)
2
as a trinomial in standard form.

Answers

Answer 1

The trinomial (x - 12)² in standard form is x² - 24x + 144

How to evaluate the trinomial in standard form

From the question, we have the following parameters that can be used in our computation:

(x-12)^2

Express properly

So, we have the following representation

(x - 12)²

Expand the expression

This gives

(x - 12)² = (x - 12) * (x - 12)

Open the brackets

This gives

(x - 12)² = x² - 12x - 12x + 144

Evaluate the like terms

(x - 12)² = x² - 24x + 144

Hence, the trinomial is x² - 24x + 144

Related Questions

Which expression is equivalent to 5-3(x+2)?
A. -3x - 1
B. -3x+10
C. 2x + 4
D. 2x-6

Answers

The answer is A. -3x - 1
5-3(x+2)
5-3x-6
-3x+5-6
-3x-1

Solve for 0. Round to the nearest tenth of a degree. Sin 0=0.85

Answers

The value of the angle theta is 58 degrees

How to determine the value of the angle theta

From the question, we have the following parameters that can be used in our computation:

Sin 0=0.85

Express the angle in the equation properly

So, we have the following representation

sin(Ф) = 0.85

Take the arc sin of both sides of the equation

So, we have the following representation

sin⁻¹(sin(Ф)) = sin⁻¹(0.85)

Evaluate the arc sin of one side of the equation

So, we have the following representation

Ф = sin⁻¹(0.85)

Evaluate the arc sin of the other side of the equation

So, we have the following representation

Ф = 58.2116693829

Approximate the equation

Ф = 58 degrees

Hence, the solution is 58 degrees

Answers

The result of the product of the given complex numbers as required to be determined is; Choice C; -5 + 14i.

What is the product of the given complex numbers?

It follows from the task content that the result of the product of the given complex numbers is to be determined.

On this note, since the required product to be evaluated is; (–4 + i) (2 – 3i).

We can therefore multiply as follows;

-8 + 12i + 2i - 3i².

However, it is noteworthy to know that; i² = -1.

Hence, we have that;

-8 + 14i + 3

= -5 + 14i

On this note, it follows that the result of the product of complex numbers as required is; -5 + 14i.

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Ms.Metz had her students estimate the length and width of a math book. Dana's estimate was 40cm by 20cm. The book measured 24cm by 16cm. How far off was her estimate?

Answers

Dana's estimated length was 66.67% far off the actual length and her estimated width was 25% far off the actual width.

What is percent error?

Percent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage. In other words, the percent error is the relative error multiplied by 100.

Percent Error Formula

The formula for percent error is:

PE = (|Estimated value-Actual value|/ Actual value) × 100

Given,

Actual length of the book = 24 cm

Actual width of the book = 16 cm

Dana's estimated length of the book = 40 cm

Dana's estimated width of the book = 20 cm

Error in measurement of length of the book =

(Measured Length - Actual Length/Actual length) × 100

= (40 - 24/24) ×100 = 66.67%

Error in measurement of width of the book =

(Measured width - Actual width/Actual width) × 100

= (20 - 16 / 16) × 100 = 25%

Hence, Dana's estimated length and breadth was 66.67% and 25% far off the actual length and width of the book respectively.

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Find the midpoint and distance between (-3,10) and (15,-2)

Answers

(4,6) I believe it is this

Describe the error in each problem below. 36÷3+(3²•2)36÷3+9•2 36÷12•2 3•2 6

Answers

Answer:

Step-by-step explanation:

In the last part of the problem, you have to follow PEMDAS.

Instead of you added before dividing. After the step of 36÷3+9x2 you have to divide.

Canvas Reproductions, Inc has RM4,500 researching a new project. The project requires RM20,000 worth of new machinery which would cost RM3,000 to install. The company would realize RM4,500 in after tax proceeds from the sale of the old machinery. If Canvas’s working capital is unaffected by this project, what is the initial investment amount for this project?

Answers

Hi. This is an informal letter .

The body of letter goes like this

Hi friend hope u are enjoying ur life and luck find u in best state of mind. My exam have been over and wanted to share my experience with my near and dear one so I was planning to come to ur place to enjoy my vacationHi. This is an informal letter .

The body of letter goes like this

Can someone solve 18?

Answers

The piecewise function f(x) = 1/2 |x| is equivalent to -

1/2 |x| = {- x/2} {x < 0}

1/2 |x| = {x/2} {x ≥ 0}

What is a piecewise function?A piecewise function is a function that is defined on a sequence of intervals. A common example is the absolute value function. Piecewise functions are implemented in the Wolfram Language as PiecewiseAdditional piecewise functions include the Heaviside step function, rectangle function, and triangle function.

Given is the absolute value function -

f(x) = 1/2 |x|

We can write it as a piecewise function as follows. The given function is as follows :

f(x) = 1/2 |x|

The absolute value function is given as -

|x| = - x {x < 0}

|x| = x {x ≥ 0}

So, we can write the piecewise function as -

1/2 |x| = {- x/2} {x < 0}

1/2 |x| = {x/2} {x ≥ 0}

Therefore, the piecewise function f(x) = 1/2 |x| is equivalent to -

1/2 |x| = {- x/2} {x < 0}

1/2 |x| = {x/2} {x ≥ 0}

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The angle bisectors of triangle ABC are , , and . They meet at a single point . (In other words, is the incenter of .) Suppose , , , and .

Answers

To solve this we must be knowing each and every concept related to triangle. Therefore, the angle bisector is indeed the ray, line, or fragment that splits a particular angle in two equal pieces.

What is triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The denotes a triangle having vertex A, B, and C. In Euclidean geometry, every three non-collinear points define a unique triangle and, by extension, a unique plane.

In geometry, the angle bisector is indeed the ray, line, or fragment that splits a particular angle in two equal pieces.

Therefore, the angle bisector is indeed the ray, line, or fragment that splits a particular angle in two equal pieces.

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d= c/n solve for n, I've been trying to solve this by multiplying by n but i want to solve for n so that's wrong thank you guys :D

Answers

Answer:

You started correctly....

Step-by-step explanation:

d = c/n Multiply both sides by 'n'

dn = c now divide both sides of the equation by 'd'

n = c/d Done.

Select each equation that the number 10^3 makes true.
6.01 x
= 601
O 0.305 x
= 305
0.54 x
= 540
O 0.097 x
970
0.97 x
= 97

Answers

All of the equations which the number 10³ makes true include the following:

B. 0.305 × __ = 305

C. 0.54 × __ = 540

How to determine the true equations?

In this exercise, you are required to determine the equations which the number 10³ makes true. This ultimately implies that, we would substitute the number 10³ into each of the given equations as follows;

6.01 × 10³ = 601

By expanding the exponent, we have the following equation:

6.01 × 1,000 = 601

6010 = 601 (False).

0.305 × 10³ = 305

By expanding the exponent, we have the following equation:

0.305 × 1,000 = 305

305 = 305 (True).

0.54 × 10³ = 540

By expanding the exponent, we have the following equation:

0.54 × 1,000 = 540

540 = 540 (True).

0.097 × 10³ = 970

By expanding the exponent, we have the following equation:

0.097 × 1,000 = 970

97 = 970 (False).

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Each other 11 letters of the word mathematics with written on a separate piece of paper and placed in a bowl what is the probability of drawing

Answers

Therefore, the probability of drawing "OBJ" from the bowl is (1/11) * (1/11) * (1/11) = 1/1331

Define Probability.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Define Statistics.

The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data. It is customary to start with a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem.

The word "mathematics" has 11 letters, so there are 11 letters in the bowl. The probability of drawing the letter "O" is 1/11, since there is only 1 "O" in the 11 letters. Similarly, the probability of drawing the letter "B" is 1/11, and the probability of drawing the letter "J" is 1/11 as well.

Since the events of drawing the letter "O", "B", and "J" are independent of each other, the probability of drawing all three letters in order is the product of their individual probabilities.

Therefore, the probability of drawing "OBJ" from the bowl is (1/11) * (1/11) * (1/11) = 1/1331

It is a very low probability, the chances of drawing that sequence are very low.

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Richard has 11 markers in a backpack. One of them is red and one is purple. What is the probability Richare
will reach into the backpack without looking and grab the red marker and then reach in a second time and
grab the purple marker if:
(a) the first marker is not replaced?
(b) the first marker is replaced?
Express your answers as fractions in simplest form.

Answers

The probability Richard marker is 11.The probability of anything occurring is known as probability.

How are probabilities calculated?

The probability of anything occurring is known as probability. To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur.

The likelihood or chance that a specific event will occur is represented by a probability. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities.

The probability of anything occurring is known as probability. To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur.

According to question:-

11/1 = 11

The probability Richard marker is 11.The probability of anything occurring is known as probability.

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x divided by 6 is what

Answers

Answer:x/6

Step-by-step explanation:

Here the value of x is not given and hence the answer to the question is

x/6

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Round 0.295833333 to the nearest hundredth

Answers

Answer:

The answer is 0.30.

I wish you luck in your assignments.

Answer:

0.3

Step-by-step explanation:

Since 5 rounds up, that would cause the 0.09 to become a 0.1, so it would be 0.3

if 11 is to 22, and 22 to 242, then from 242 to what

Answers

Answer:

it's equal to = 242 =484. I think so that's the right answer please

make x the subject of the formula in R = ax-p/q+bx

Answers

R = (ax - p)/(q + bx)

(ax - p) = R(q + bx)

ax - p = Rq + Rbx

ax - Rbx = Rq + p

x(a - Rb) = Rq + p

x = (Rq + p)/(a - Rb)

Gemma has 3 rose bushes, each with the same number or roses. She picks 4 of the roses. There are 20 roses left on the rose bushes. How many roses were on each rose bush?

Answers

There were 8 roses on each bushes

How to calculate the number of roses on each bush?

Gemma has 3 rose bushes

Each bush has the same number of roses

She picks 4 of the roses

After picking the roses, there are 20 left in the bushes

Therefore the number of rose on each bush can be calculated as follows

20 + 4

= 24

24/3

= 8

Hence there are 8 roses in each bush

Answers

Answer

1. Three graphs were created and the solution is identified on the graphs.

Solutions are
System A is upper right (1, 2)
System B is lower left ( 5, -6)
System C is lower right ( 1/2, 3)

2. Find the sum or difference. When you solve this way, you want either the x or the y values to cancel out so you can solve for one variable.

System A is already set up this way. See how the 4x and -4x cancel out?

4x + 3y = 10
-4x +5y = 6
__________
8y = 16
Divide both sides by 8 to solve
8/8 y = 16/8
y = 2

Sub y = 2 into either equation to solve x

4x + 3y = 10
4x + (3)(2) = 10
4x + 6 = 10
Subtract 6 from both sides to isolate variable
4x + 6 -6 = 10 - 6
Simplify
4x = 4
Divide both sides by 4 to solve
4/4 x = 4/4
x = 1
Solution pair is (1, 2)

System B has the y values ready to cancel out

2x + y = 4
x - y = 11
__________
3x .= 15
Divide both sides by 3 to solve for x
3/3 x = 15/3
x = 5

Sub x = 5 into either equation to solve for y

5 - y = 11
Subtract 5 from both sides
5-5 -y = 11 - 5
-y = 6
y = -6

Solution pair is ( 5, -6 )

System C - we need to multiply the second equation by -1 to create the cancel of x

8x + 11y = 37

8x + y = 7
-1. -1. -1
___________
-8x -y = -7

Now we can cancel the x’s and solve

8x + 11y = 37
-8x -y = -7
___________
10y = 30
Divide both sides by 10
10/10 y = 30/10
Simplify
y = 3

Now sub y = 3 into either equation to solve x

8x + (11)(3)= 37
8x + 33 = 37
Subtract 33 from both sides
8x + 33 - 33 = 37 - 33
8x = 4
Divide both sides by 8 to solve for x

8/8 x = 4/8
x = 4/8
Simplify
x = 1/2

Solution pair is ( 1/2, 3)

3. The graphs show the x horizontal line and y vertical line from the coordinate solution intersect with the lines of the two equations.

This was a lot of work. I hope it made sense.

Calculate The Double Integral. ∫∫ 4x 1 + Xy DA, R = [0, 4] × [0, 1]

Answers

Answer:

[tex]20\ln(5)-16\approx16.18876[/tex]

Step-by-step explanation:

[tex]\displaystyle\int\int\limits^{}_R {\frac{4x}{1+xy} } \, dA\\\\\\=\int\limits^4_0\int\limits^1_0 {\frac{4x}{1+xy} } \, dy \, dx\\\\\\=\int\limits^4_0 {\ln(1+xy)\biggr|_0^1} \, dx\\\\\\=\int\limits^4_0 {\ln(1+x)} \, dx\,\,\,\,\,\,\,\,\,\,\,\,\bigr(u=\ln(1+x),\,dv=dx\bigr)\\\\\\=4\biggr(x\ln(1+x)\biggr|_0^4-\int\limits^4_0 \frac{x}{1+x} \,dx\biggr)\\\\=4\biggr(4\ln(5)-\bigr[x-\ln(1+x)\bigr]\biggr|_0^4\biggr)\\\\=4\biggr(4\ln(5)-\bigr[4-\ln(5)\bigr]\biggr)\\\\=4\biggr(5\ln(5)-4]\biggr)\\\\=20\ln(5)-16[/tex]

A blueprint of a house has a scale in which 1 inch equals 4 1/2 feet. If the living room wall measures 7 1/4 inches on the drawing, what is the actual length of the wall?

The actual length of the wall is ___ feet

Answers

Answer:

Step-by-step explanation:

1 : 4 1/2 :: 8 1/5 : x proportion

x = (4 1/2)(8 1/5) product of means/extremes

x = (9/2)(41/5) change improper fraction

x = 369/10 multiply

x = 36.9 change to decimal

The actual length is 36.9 feet.

11-(-2)x4 step by step pls my hm is due tmr

Answers

Answer:

Step-by-step explanation:

11 -(-2) x 4

11 + 2 x 4

11 +8

= 19

The morning temperature is -29.8 degrees. The temperature rose 33.2 degrees during the day.

What is the new temperature in degrees?

Answers

Answer:

Step-by-step explanation:use a calculator

Answer:

Step-by-step explanation:

-29.8+33.2=3.4

Work out
2/3 - 2/5
Give your answer in its simplest form.

Answers

Answer:

4/15

Step-by-step explanation:

find common denominators, which is 15

multiply 2/3 by 5 and and 2/5 by 3

2 x 5 = 10 and

3 x 5 = 15

10/15

2 x 3 = 6 and

5 x 3 = 15

6/15

subtract numerators

10 - 6

= 4/15

Which graph represents a function?

Answers

Answer:

The fourth graph since it passes the vertical line test.

Each input has one output.

Hope this helps :)

Yesss the fourth graph is the correncg answer yess your welcome I think that’s the correct answer

What is x + y when x = 4 and y = -5

Answers

Answer:

x + y = -1

Step-by-step explanation:

4 plus -5 is equivalent (equal to) the equation 4 - 5 which equals -1

Select the correct answer from each drop-down menu. Let d(t) be the total number of miles Joanna has cycled, and let t represent the number of hours after stopping for a break during her ride. So, d(4) = 68 . This means that after a 4 hour break , Joanna cycled 68 miles total .

Answers

The numeric value of the function d(t) = 12t + 20 at t = 4 is given as follows:

d(4) = 48.

The interpretation of this numeric value is that after a time of 4 hours, Joanna has cycled 68 miles.

How to interpret the function?

The function for this problem is defined as follows:

d(t) = 12t + 20.

The meaning of each variable is given as follows:

t: time in hours after the break.d(t): distance cycled after t hours.

The numeric value at t = 4 is obtained replacing the lone instance of t in the function by 4, as follows:

d(4) = 12(4) + 20

d(4) = 48 + 20

d(4) = 68 miles.

Meaning that after a time of 4 hours, the distance cycled by Joanna was of 68 miles.

Missing Information

The function for this problem is defined as follows:

d(t) = 12t + 20.

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The table represents a quadratic function C(t).

t C(t)
−2 1
−1 4
0 5
1 4
2 1

What is the equation of C(t)?
C(t) = −(x − 5)2
C(t) = (x − 5)2
C(t) = −x2 + 5
C(t) = x2 + 5

Answers

The equation that presents the table will be C(t) = - t² + 5. Then the correct option is C.

What is the equation of the parabola?

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.

Then the equation of the parabola will be given as,

y = a(x - h)² + k

The table represents a quadratic function C(t).

t C(t)

−2 1

−1 4

0 5

1 4

2 1

From the table, the coordinate of the vertex will be at (0, 5). Then the equation is given as,

C(t) = a(t - 0)² + 5

C(t) = at² + 5

The equation is passing through the point (1, 4), then we have

4 = a (1²) + 5

4 = a + 5

a = - 1

The equation that presents the table will be C(t) = - t² + 5. Then the correct option is C.

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Which equation justifies why ten to the one third power equals the cube root of ten?

ten to the one third power all raised to the third power equals ten to the one third plus three power equals ten

ten to the one third power all raised to the third power equals ten to the one third times three power equals ten

ten to the one third power all raised to the third power equals ten to the three minus one third power equals ten

ten to the one third power all raised to the third power equals ten to the one third minus three power equals ten

Answers

The equation that justifies ten to the one third power equals the cube root of ten is ten to the one third power all raised to the third power equals ten to the one third times three power equals ten. Option B

How to justify the power

we are to find [tex]10^{\frac{1}{3} } = \sqrt[3]{10}[/tex]

The justification has to be done with the use of the properties of powers as well as roots.

[tex]a^\frac{m}{n} = \sqrt[n]{a^m}[/tex]

then we would have:

[tex]\sqrt[3]{10} = \sqrt[3]{10^1} =10^\frac{1}{3}[/tex]

then we would have

[tex](10^\frac{1}{3} )^3\\\\= 10^\frac{3}{3}[/tex]

= 10

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Let |r| = 6 at an angle of 30° and |s| = 11 at an angle of 225°. Which expression represents |r – s|?

Answers

The resultant of subtraction of both vectors is

|r - s| = √(r² + s² - 2rscos{15})

What are vectors?

A vector is an object that has both a magnitude and a direction.

Given is that |r| = 6 at an angle of 30° and |s| = 11 at an angle of 225°.

For the subtraction of vectors, we can write its magnitude as -

|r - s| = √(r² + s² - 2rscos{15})

Therefore, the resultant of subtraction of both vectors is

|r - s| = √(r² + s² - 2rscos{15})

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Express (x-12)^2(x−12) 2 as a trinomial in standard form.

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Express (x-12)^2(x−12)
2
as a trinomial in standard form.