Which of the following radical expressions has an absolute value symbol in its simplified form?

The polynomial p(x) = 3x³ - 5x² - 4x + 4 can be written as a product of linear factor as (x + 1) (3x - 2) (x - 2).

A polynomial is a mathematical expression that solely uses the operations of addition, subtraction, multiplication, and positive-integer powers of variables. It is made up of indeterminate (also known as variables) and coefficients.

Given:

p(x) = 3x³ - 5x² - 4x + 4

Factor = (x - 2)

Divide the equation by (x - 2) as shown below,

(3x³ - 5x² - 4x + 4) /  (x - 2)

= (3x² + x - 2)

Factorize the above equation,

= 3x² - 2x + 3x  - 2

= (x + 1) (3x - 2)

Therefore, the polynomial p(x) = 3x³ - 5x² - 4x + 4 can be written as a product of linear factor as (x + 1) (3x - 2) (x - 2).

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Answer:

d.

Step-by-step explanation:

it says it in the question 18 miles 5 hours

its not asking you to work out exactly.

The answer is 24

sorry if i did not say more its hard to explain sorry again

The equation represents a line with a positive slope and a negative y-intercept is  y = 7.5x - 2

The slope-intercept form of the equation of a line is y = mx + c

where m is the slope and c is the y-intercept

Given: y = 3.5x, y = 1/4 x + 7, y = 7.5x - 2 and y = -5x - 8

For  y = 3.5x:

y = 3.5x

Comparing with y = mx +c

m = 3.5 and c = 0

For y = 1/4 x + 7:

y = 1/4 x + 7

Comparing with y = mx +c

m = 1/4 and c = 7

For  y = 7.5x - 2 :

y = 7.5x - 2

Comparing with y = mx +c

m = 7.5 and c = -2

For  y = -5x - 8 :

y = -5x - 8

Comparing with y = mx +c

m = -5 and c = -8

Thus, y = 7.5x - 2 has a positive slope (7.5) and a negative y-intercept (-2)

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Answer:

5 1/4

Step-by-step explanation:

Hope this helps!

Answer:

3×1/2 = 1.5km per week

14÷1.5=9.33 if you round it it would take 9weeks

Answer:

$4.00

Step-by-step explanation:

There is, in total, 4 people attending the movies. [Zack and his 3 friends]

If each ticket costs $8.00, we can use 4 x $8.00 to find out how much the tickets costs.

4 x $8.00 = $32.00

If his mom paid $48 dollars in total, to get the amount of money they spent on snacks, we can use $48 - $32.

$48 - 32 = $16

We can now divide $16.00 by 4, as everyone [Zack and his 3 friends] got the same snack from the concession stand, and that leaves us with the equation: $16/4 [also known as 16 divided by 4]

$16/4 = $4.00

Each snack set cost $4.00

Probability of cars waiting at the drive-up window is P (X=0) = 0.1353 and P (X=2) = 0.2707

The variety of strategies for achievement. the number of potential outcomes. For instance, the chance of flipping a coin and obtaining heads is 1 in 2, as there is only one method to acquire a head and there are a total of 2 potential outcomes (a head or tail). We specify P(heads) = 1/2.

There are typically 2. chance of automobiles waiting at the drive-up window on any given morning at 9 o'clock, according to a Poisson distribution. a. P(x=0) P(x=0) X = 1, 2,..., 10

X≅ P(2)

a. P(x=0)

P(x=0)  

[tex]e^{-2}[/tex] . [tex]2^{0}[/tex] ÷ 0!

[tex]e^{-2}[/tex]

0.1353

b. P(x=2)

[tex]e^{-2}[/tex] .[tex]2^{2}[/tex] ÷ 2!

2[tex]e^{-2}[/tex]

0.2707

So

Probability of cars waiting at the drive-up window is P (X=0) = 0.1353 and P (X=2) = 0.2707

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Answer:

b = 2

Step-by-step explanation:

because of the 60° in the corner we know this triangle is the left half of an equilateral triangle (where all 3 sides are equally long, and all 3 angles are 60°).

therefore, b is half of the baseline of that equilateral triangle = 4/2 = 2.

so, b = 2 is the correct answer.

The value of the expression 150 - 3x when x =2 is 144.

Expression in mathematics is combination of variables with the use of operations and given rules. It can be in the form of equation, numbers etc.

Given expression,

150 - 3x.

And we have x = 2.

Substituting the value of x to the expression

So,

150 -3x = 150 - 3(x = 2)

              = 150 - 3(2)

              = 150 - 6

              = 144

Therefore, the answer is 144.

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Answer:3/4 10

Step-by-step explanation:

Answer:

x = 2

y = -2

z = 9

(2,-2,9)

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

78/9, √45 ,  ³√97 is the order of numbers from greatest to least.

Given,

The numbers;

³√97, 78/9, √45

We have to order these numbers from greatest to least.

Ordering of numbers;

A series of numbers can be arranged in numerical order. Both ascending and descending orders are possible. For instance, suppose you arranged a group of numbers in ascending order as 2, 55, 103, 256, and 802, for instance. This can make it much simpler to look through a large collection of numbers.

Here,

First we have to find the values of the numbers.

The value of ³√97 = 4.59

The value of 78/9 = 8.66

The value of  √45 = 6.71

So,

The greatest one is 78/9 and the least one is ³√97

Therefore,

The order of numbers from greatest to least is 78/9, √45 ,  ³√97

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Answer:

---------------------------

Given:

The difference in the inventory is same as the difference between cost of goods sold and net purchase.

Net purchase is the sum of the cost of goods and the difference between beginning and ending inventory:

Answer:

The difference in the inventory is same as the difference between cost of goods sold and net purchase.

42100 - 38900 = 3200

Step-by-step explanation:

Net purchase is the sum of the cost of goods and the difference between beginning and ending inventory:

Net Purchase = 83500 + 3200 = 86700

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The fraction of the floor is covered by white tiles is 1/3.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

Assumed figure:

Places covered by white tiles = 18

Total tiles = 54

The Fraction covered by white tiles will be:

= Number of whitw tiles / Total tiles

= 18/54

= 1/3

The Fraction is 1/3.

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Probability of drawing a even number of dice is 0.5, The probability of flipping a head on a coin is 0.5,The probability of  choosing a red block out of a bag containing 1 red, 1 green and 3 green blocks is 0.2, The probability of  choosing a soccer ball out of a bag containing 4 soccer balls, 1 playground ball and 3 basketballs is 0.5 and The probability of  choosing a tennis ball out of a bag containing 5 rubber balls, 3 tennis balls, 6 bouncy balls and 1 squishy ball is 0.2.

It is a branch of mathematics that deals with the occurrence of a random event.

The probability of drawing a even number of dice.

A dice has 3 even numbers, 2, 4 and 6.

probability of drawing a even number of dice=3/6=1/2=0.5

The probability of flipping a head on a coin =1/2=0.5

The probability of  choosing a red block out of a bag containing 1 red, 1 green and 3 green blocks.

1/5=0.2

The probability of  choosing a soccer ball out of a bag containing 4 soccer balls, 1 playground ball and 3 basketballs.

4/8=1/2=0.5

The probability of  choosing a tennis ball out of a bag containing 5 rubber balls, 3 tennis balls, 6 bouncy balls and 1 squishy ball.

The probability is 0.2

Hence, probability of drawing a even number of dice is 0.5, The probability of flipping a head on a coin is 0.5,The probability of  choosing a red block out of a bag containing 1 red, 1 green and 3 green blocks is 0.2, The probability of  choosing a soccer ball out of a bag containing 4 soccer balls, 1 playground ball and 3 basketballs is 0.5 and The probability of  choosing a tennis ball out of a bag containing 5 rubber balls, 3 tennis balls, 6 bouncy balls and 1 squishy ball is 0.2.

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The average grade for this test is given as follows:

1.85.

The average grade is obtained as the mean of the data-set containing all the grades, which is given by the sum of all grades divided by the number of grades.

Considering the numerical equivalents of each letter, the grades in this problem are given as follows:

The total number of grades is given as follows:

11 + 18 + 52 + 13 + 6 = 100.

The sum of these grades is given as follows:

11 x 0 + 18 x 1 + 52 x 2 + 13 x 3 + 6 x 4 = 185.

Hence the average grade is of:

185/100 = 1.85.

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The given expression can be factorized to obtain 18h + 30k = 6(3h + 5k).

First find the greatest factor common to all the terms of the given expression. Then, take out that term as a common and the remaining terms are written inside a bracket.

The given expression is 18h + 30k.

The GCF of 18 h and 30 k is 6.

Now, the given expression can be factorized as  follows,

18h + 30k

= 6 × 3h + 6 × 5k

= 6(3h + 5k)

Hence, the factored form of the given expression is 6(3h + 5k).

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Total number of free throws made for player 2 are 23 using histogram.

A histogram is a graphical depiction of continuous or discrete data. In a histogram, the frequency is represented by the area of a bar. Frequency density, which is proportional to frequency, is plotted on the y-axis, and intervals representing the range of values are plotted on the x-axis. One common graphing tool is the histogram. It is employed to present interval-scaled summaries of discrete or continuous data. It is frequently used to conveniently depict the main characteristics of the data distribution. A histogram is a graph in which the horizontal axis represents the values of the observations, and the vertical axis represents the density of those observations.

Given,

Histogram given,

Total number of free throws made for player 2 are:

8 + 9 + 6

23

Total number of free throws made for player 2 are 23 using histogram.

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Answer:

the fourth vertex is (3,5) or (6,6)

Step-by-step explanation:

this so ez i dont need to explain it

Answer:20

Step-by-step explanation: 80 divided by 4 is 20

The values are (13) 323.33  (14) 22 (15) 80, (16) 361.67, (17) 169.33, (18) 0  (19) 40, (20)  50 (21) the width is 5 inches

We should know that percentage is a ration of fraction of 100

The given percentages are as follows:

(13) 30% of what gives 97

let the number be x in all cases

(30/100)*x=97

30x=9700

x=323.33

(14) (50/100)*x=11

50x=1100

x=22

(15)  (25/100)*x=20

25x=2000

x=80

(16)  (60/100)*x=217

60x=21700

x=361.64

(17)  (75/100)*x=127

75x=12700

x=169.33

(18)  (10/100)*x=0

10x=100*0

10x=0

x=0

(19)  (120/100)*x=48

120x=100*48

120x=4800

x=40

(20) (150/100)*x=75

150x=7500

x=50

(21) lenght = 10 inches

width = 50% of 10

= (50/100)*10

= 5 inches

Therefore the width is 5 inches

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Answer:

The function that represents g(x), a reflection of f(x) = 4(one-half) Superscript x across the x-axis, is g(x) = −4(one-half) Superscript x. This function is obtained by negating the exponent of the original function, which reverses the direction of the exponential growth and creates a mirror image of the original function across the x-axis. The other options listed do not correctly reflect the original function across the x-axis.

Step-by-step explanation:

By the concept of the sum of the adjacent angle in a parallelogram, we determine m∠PQR = 76°.

A basic quadrilateral with two sets of parallel sides is known as a parallelogram. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.

The area of a parallelogram is base multiples by height as two triangles form a parallelogram.

We know a parallelogram has opposite angles of equal measure and the sum of adjacent angles is 180°.

Given, m∠QRP = 38° and m∠PRS = 66°.

∴ m∠PQR = 180° - 38° - 66°.

m∠PQR = 76°.

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(A) only 2 is the line of symmetry of the given figure.

A form or item is divided into two equal and symmetrical portions by a line of symmetry.

Because it divides the figure symmetrically and the separated portions resemble mirror images of one another, we also refer to this line as the axis of symmetry or the mirror line.

The four lines of symmetry in a square are lines across the opposing vertices and the midpoints of the opposing sides.

Together, these four lines of symmetry make up a square.

Consequently, a square has two diagonal, one horizontal, and one vertical line of symmetry.

So, according to the given figure we can easily observe and tell that line 2 is the only one that divides the diagram into 2 identical parts.

Therefore, (A) only 2 is the line of symmetry of the given figure.

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Answer:

20 days

Step-by-step explanation:

Answer:

  20%

Step-by-step explanation:

You want to know the percentage error in an estimate of 1.8 L for an actual value of 1.5 L.

The percentage error is the ratio of error amount to actual value, multiplied by 100%.

  Error amount = estimate - actual = 1.8 L -1.5 L = 0.3 L

  ratio = (error amount)/(actual) = (0.3 L)/(1.5 L) = 0.2

  percentage error = 0.2 × 100% = 20%

The error in the student's estimate is 20%.

He can make another project and still have 0.90 m of wire left.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

Matthew has 8.2 meters of wire.

He uses 3.65 meters for the craft project.

Now, He wants to use the wire he left to complete one of the following projects.

The left wire is 8.2-3.65 = 4.55 m

So he can make another project and still have 0.90 m of wire left.

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