the simplification lf (x^3+2x-3)-(x^2-2x+4)​

Answer:

  A

Step-by-step explanation:

The solution matrices shown are the result of reducing the augmented coefficient matrix to "reduced row-echelon form". Many calculators and spreadsheets have functions specifically for that purpose.

The attachment shows the result of a TI-84 work-alike calculator's reduction of the coefficient matrix. It matches the first choice.

__

Additional comment

When the equations are written in the form shown here, with the variables in the same order, and the constant on the right side of the equal sign, the augmented matrix is simply the matrix of the numbers. It is shown as the argument of the RREF function in the attachment.

The left-right order of the variables on the left side of the equal sign matches the top-down order of the solution values in the rightmost column of the reduced matrix. That is, ...

  a = 2, b = -2, c = 0.

Answer:

64 × [tex]10^{6}[/tex]

Step-by-step explanation:

(8 × 10³)² = (8 × 10³)(8 × 10³)
               = 8 × 10³ × 8 × 10³
               = 64 × [tex]10^{6}[/tex]

Answer:

Step-by-step explanation:

Find the value of (8 × 10³)²

(8 × 10³)² =

(8 × 1000)² =

8000² =

64000000

Step-by-step Explanation:

the volume of a pyramid is:

volume = (1/3) • base_area • height

(area = length • width)

(area) • (height) = (volume)³

Example:

area = 12cm² (12 cm squared)

height = 4cm

12 • 4 = 48cm³ (48 cm cubed)

Answer:

area: 6 • 8 = 48(1/2) = 24cm²

height: 12

volume: 24 • 12 = 288cm³(1/3) = 96cm³

Answer:

28

Step-by-step explanation:

[tex]7+7\times 3 = 7(1+3)= 7 \times 4 = 28[/tex]

Answer:

28

Step-by-step explanation:

When we find the product of 2 or more numbers, we multiply them.

so

product of 7 and 3 = 7 x 3 = 21

7 + 21 = 28

Hope this helps. I attempted to make it as simple as possible.

- profparis

Answer:

1/24 + 1/24 = 1/12

Step-by-step explanation:

1/24 + 1/24 = 1/12 I think it’s this.

I don’t have any options though so I just thought of that.

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. The width of the rectangle is 10ft , while the length of the rectangle is 24ft.

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

Let the width of the rectangle be represented by x.

The length of the rectangle is (2x+4), therefore, the area is,

Area = x(2x+4)

240 ft² = 2x² + 4x

2x² + 4x - 240 = 0

x² + 2x - 120 = 0

x = -12, 10

Since the width can not be negative, the width of the rectangle is 10, while the length of the rectangle is 24.

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Answer: c. p+n=35, 0.01p+ 0.05n = 1.03

Step-by-step explanation: p= number of pennies, n = number of nickels. Given the total number of coins is 35, we have the equation p+n = 35.

She has total of $1.03. The equation for that would be 0.01p + 0.05n = 1.03

Solve both the equations to get the answer.

Using translation concepts, it is found that the coordinates of the image of the origin under the same translation are given by:

3. (-2,1).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

A translation maps A(1,2) onto A'(-1,3), hence the rule is given by:

(x,y) -> (x - 2, y + 1).

Then the image of the origin (0,0) is given by:

(0,0) -> (0 - 2, 0 + 1) = (-2,1)

Which means that option 3 is correct.

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[tex] \rm \: {2x}^{2} + x - 6[/tex]

[tex] \rm \: {2x}^{2} + 4x - 3x - 6[/tex]

[tex] \rm \: {2x} \times (x + 2)- 3x \times (x + 2)[/tex]

[tex] \rm \: (x + 2) \times (2x - 3)[/tex]

Answer:

he bought 4 oranges

because you need to divide

Answer:

58.0 degrees

Step-by-step explanation:

Let the angle of depression be x.

tan x=104.1/65

x=58.0 degrees

Answer:

the angle of depression is 32°

Step-by-step explanation:

The ratio of the height of shape A to the height of shape C is [tex]\frac{3}{10}[/tex]

Recall that similar figures have the same scale factor squared due to the ratio of its surface area.

Hence,

We would make:

[tex]z^2 = x/y\\z= 2/5[/tex]

Therefore, the ratio of the height of shape A to the height of shape B is = [tex]\frac{hA}{hB} = \frac{2}{5}[/tex]

To find the ratio of the height of shape B to the height of shape C, we would perform a similar operation which is:

[tex]z^3 = 27/64\\z= 3/4[/tex]

The ratio is:

[tex]\frac{hB}{hC} = \frac{3}{4}[/tex]

To find the ratio of the height of shape A to the height of shape C would be:

[tex](\frac{hA}{hB}) (\frac{hB}{hC} )= \frac{hA}{hC}[/tex]

= 6/20

= 3/10

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Answer:

angle 1= 59 degree, angle 2= 61 degree and angle 3 = 119 degree

Step-by-step explanation:

because in the figure angle 2 and 61 degree are alternative angle so they are equal

The equation that represents a nonlinear function is x(y – 5) = 2

Nonlinear functions are functions that do not have a uniform slope.

A linear function is represented as:

y = mx + b

This means that all other forms are nonlinear function.

From the list of given options, x(y – 5) = 2 is a nonlinear function

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Answer:

A

Step-by-step explanation:

Only three are geometric sequences, a which is 3/16, 3/8, 3/4, 3/2, d which is 3,9,27,81 and f which is -4(4/9)^x

A geometric sequence is a sequence of numbers or functions in which successive member differ by a constant term called the common ratio.

Analysis:

For a, the first term is 3/16, second term is 3/8. if we divide the second term by the first we have 2. If we do same with the third and second we still have 2. so this is a geometric sequence

For d, if we divide 9 by 3 we have 3, if we divide 27 by 9 we have 3. so this is a geometric sequence.
For f, if we make x equal to a nonzero integer, we have first term as -16/9, second term as -64/81 and third term as -256/729. if we divide the second term by the first we have -4/9, if we divide the third by the second we have-4/9.

In conclusion, Only three are geometric sequences, a which is 3/16, 3/8, 3/4, 3/2, d which is 3,9,27,81 and f which is -4(4/9)^x

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Answer

in the m∠C it means measure of C

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

Answer:

[tex]a= 4\\\\b= 4\\\\c= 8 \\\\d=16\\\\e= 12\\\\f=36\\\\g=64[/tex]

Step-by-step explanation:

[tex]a= 4(1^2) = 4\\\\b = 4^1 = 4\\\\c=4(2) = 8\\\\d=4^2 = 16\\\\e = 4(3) = 12\\\\f=4\cdot 3^2 = 4(9) = 36\\\\g = 4^3 = 64[/tex]

Answer:

F and D

Step-by-step explanation:

there 2 out of the other lead

Using the line of best fit, it is found that a person would remember 5 words after being distracted by 7 text messages.

Researching the problem on the internet, it is found that it states that the number of words a person remembers after being distracted by x text messages is given by a linear function.

Looking at the line, it is found that when x = 7, N(x) = 5, hence a person would remember 5 words after being distracted by 7 text messages.

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Answer:

third one passes through the slope .

Answer:

Step-by-step explanation:

y - 1 = 1/2(x - 5)

y - 1 = 1/2x - 5/2

y - 2/2 = 1/2x - 5/2

y = 1/2x - 3/2

Option 3

The mean, median, standard deviation, and interquartile range for each data set is given below.

When arranged from lowest to highest, the IQR represents the central 50% of values.

Find the median (middle value) of the lower and higher half of the data to get the interquartile range (IQR).

These are the quartile 1 (Q1) and quartile 3 (Q3) values (Q3). The difference between Q3 and Q1 is the IQR.

Using the statistical tool, the following were arrived at:

Using the statistical tool, the following were arrived at:

See the respective Histograms attached.

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Answer:

the probability is 3/4

Step-by-step explanation:

probability = possible outcome/total outcome

Possible outcome= 12-3=9

Total outcome = 12

Probability = 9/12 = 3/4

So the chance of u getting a good apple is 3/4

Answer:

$102.75

Step-by-step explanation:

Given the following question:

We are given a cost of 75 dollars and are being asked to find the total cost after adding a tip, tax, and disc to the cost. To find this answer we will use the formula to calculate percentages making sure we use 75 as our base for each addition to our total cost.

Formula to calculate percentages:

[tex]\frac{p\times n}{100}[/tex]

First the disc:

[tex]\frac{10\times 75}{100}[/tex]
[tex]10\times75=750[/tex]
[tex]750\div100=7.5[/tex]
[tex]=7.5[/tex]

Next the tax:

[tex]\frac{7\times75}{100}[/tex]
[tex]7\times75=525[/tex]
[tex]525\div100=5.25[/tex]
[tex]=5.25[/tex]

Last but not least the tip:

[tex]\frac{20\times75}{100}[/tex]
[tex]20\times75=1500[/tex]
[tex]1500\div100=15[/tex]
[tex]=15[/tex]

Finally add:

[tex]75+7.50+5.25+15=102.75[/tex]
[tex]=102.75[/tex]

The total cost after adding the disc, tax, and the tip will be "$102.75."

Hope this helps.

Answer:

[tex]6\sqrt{2}[/tex]

Step-by-step explanation:

By graphing both equations, we see that the solutions of the system of equations are  (1.05, 4.05) and  (-4.97, - 1.97)

Here we have the system of equations:

y = x + 3

y = 13*(x + 5)*(x - 1).

To solve this system graphically, we need to graph both equations and see where the curves intercept.

The graph of the two equations can be seen below.

There are two solutions, one is (1.05, 4.05) and the other is (-4.97, - 1.97)

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Answer:

Return the marble he initially drew from the bag

Step-by-step explanation:

Given:

The equation of the circle is

We need to determine the center and radius of the circle.

Center:

The general form of the equation of the circle is

where (h,k) is the center of the circle and r is the radius.

Let us compare the general form of the equation of the circle with the given equation  to determine the center.

The given equation can be written as,

Comparing the two equations, we get;

(h,k) = (0,-4)

Therefore, the center of the circle is (0,-4)

Radius:

Let us compare the general form of the equation of the circle with the given equation  to determine the radius.

Hence, the given equation can be written as,

Comparing the two equation, we get;

Thus, the radius of the circle is 8