to
Which of the following expressions is equivalent
(x + 7)(x2 – 3x + 2)?
A. 3 - 3x2 + 2x + 14
B. x3 + 4x2 - 19x + 14
C. x°- 3x + 14
D. 2 - 2x + 9

Answers

Answer 1

Answer:   B.x^3+4x^2-19x+14 is correct

Step-by-step explanation:

(x + 7)(x2 – 3x + 2)

Multiplying both

x^3-3x^2+2x+7x^2-21x+14

x^3+4x^2-19x+14

Answer 2

After expanding the given equation, the equivalent expression is found to be [tex]x^3 + 4x^2 -19x +14[/tex]

The correct answer is B

Given expression:

[tex](x + 7)(x^2 - 3x + 2)[/tex]

To find:

the equivalent expression in expanded form

The given expression can be expanded as follows;

[tex](x + 7)(x^2 - 3x + 2)\\\\remove \ the \ bracket \ by \ multiplying \ through \ with \ "x" \ and \ "7"\\\\x(x^2 - 3x + 2) + 7(x^2 - 3x + 2)\\\\x^3 - 3x^2 + 2x + 7x^2 - 21x+ 14\\\\simplify \ further \ by \ collecting \ similar \ terms \ together\\\\x^3 + (-3x^2 + 7x^2)+ (2x-21x) + 14\\\\x^3 + 4x^2 - 19x+ 14[/tex]

Thus, the equivalent expression of the given equation is [tex]x^3 + 4x^2 -19x +14[/tex]

Learn more here: https://brainly.com/question/21101782


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You went shopping at a mall and bought a t shirt for $8.99 and a baseball hat for $12.99. What is the total cost of the items with 7.5% tax?


A. $21.98


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Answer:

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Step-by-step explanation:

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19+7.85 = 26.85

Complete the recursive formula of the arithmetic sequence -3, -1, 1, 3,...

b(1)= "answer"
b(n)=b(n-1)+ "answer"

Answers

Given:

The given arithmetic sequence is:

[tex]-3,-1,1,3,...[/tex]

To find:

The recursive formula of the given arithmetic sequence.

Solution:

We have,

[tex]-3,-1,1,3,...[/tex]

Here, the first term is -3. So, [tex]b(1)=-3[/tex].

The common difference is:

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Putting [tex]d=2[/tex], we get

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Find the sum of 318 nanoseconds and 96 microseconds

Answers

Step-by-step explanation:

1 microsecond is equal to 1000 nanoseconds.

Knowing this, we can multiply 96*1000 to get 96,000.

Then just add the additional 318 nanoseconds.

96,000+318=96,318 nanoseconds.

tombstone and bury me.. by the river they'll carry me. finally I been resting in peace.. finally, finally..​

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Answer:

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Step-by-step explanation:

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Number of bags of chocolate chip cookies = x = 0.133 bags

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Answer:

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Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Each of the green lines has 3 times the length of the corresponding blue line.  Thus the dilution factor is 3.

Find the area of the shaded region. Round your answer to the nearest tenth.
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Answer:

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Step-by-step explanation:

A rectangle has an area of 24 cm2. Function f gives the length of the rectangle, in centimeters, when the width is w cm.



Determine if each value, in centimeters, is a possible input of the function.



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Answers

Answer:

Input is the value of w and the function f = 24/w as length x breadth = area of rectangle

Heart if this helped

If a car is traveling at 80 feet/second with 22 inch tires, how fast are the tires spinning in revolutions per second?

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Answer:

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Step-by-step explanation:

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The answer to this question is false

Solve for x using the Quadratic Formula: x2 + 4x + 4 = 0 x = −2

Answers

Answer:

x=-2

Step-by-step explanation:

x^2+4x+4 = 0

(x+2)(x+2) = 0

x+2=0

x=-2

x=-2 hope this helps you

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Answers

So the x-intercept is 3. Also, the y-intercept can also be obtained by putting x=0 in the equation to get y=12/(-6)=-2

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Answer:

369.03

Step-by-step explanation:

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p=46 (perimeter of the base)

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what does this mean what

Answer:

Um what

Step-by-step explanation:

I'll give 20pts and Brainliest!
Gavin is subdividing land into two plots, where one plot is in the shape of a square and the other plot is in the shape of a rectangle. The square plot of land has a side length of 6x³ feet, and the rectangular plot of land has a length of 3x⁵ feet and a width of 7x² feet. Use the properties of exponents to determine the expression that represents the area for each plot of land. Then analyze which plot of land has a larger area if x is 3.

Answers

The square plot of land has a larger area when x is 3.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To find the area of the square plot, we can use the formula for the area of a square: A = [tex]s^2,[/tex] where s is the length of a side of the square. In this case, the side length is 6x³ feet, so the area of the square plot is:

A = [tex](6x³)^2 = 36x^6[/tex]square feet

To find the area of the rectangular plot, we can use the formula for the area of a rectangle: A = lw, where l is the length of the rectangle and w is the width. In this case, the length is 3x⁵ feet and the width is 7x² feet, so the area of the rectangular plot is:

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To learn more about Algebraic expression from given link.

brainly.com/question/28884894

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11.5 cm
B
D
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Answers

Answer:

100cm

Step-by-step explanation:

From the given diagram;

Perimeter of the polygon = AB + BC+ CD + DA

Perimeter of the polygon = 11.5 + 12.5 + 12.5 + 13.5 + 13.5 + 12.5 + 12.5 + 11.5

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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67. There are 15 clarinet players, 12 flute
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Answers

Answer:

A

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Hence, option C is correct.

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So in this case, we have,

⇒  n = 15 clarinet players

⇒ n = 12 flute players

⇒ n = 7 saxophone players

⇒ r = 1 clarinet player,

1 flute player, and 1 saxophone player

To find the number of ways we can create a trio with one player from each instrument, we need to calculate,

⇒ ([tex]^{15}P_{1}[/tex]) x ([tex]^{12}P_{1}[/tex]) x ([tex]^{7}P_{1}[/tex])

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([tex]^{12}P_{1}[/tex]) ) = 12! / (12 - 1)!

           = 12! / 11!

           = 12  

This represents the number of ways we can choose one flute player out of 12.

[tex]^{7}P_{1}[/tex] = 7! / (7 - 1)!

     = 7! / 6!

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This represents the number of ways we can choose one saxophone player out of 7.

So the total number of ways we can create a trio consisting of one clarinet player, one flute player, and one saxophone player is,

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To learn more about permutations visit:

https://brainly.com/question/14368656

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