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]

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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:

26.85 in

Step-by-step explanation:

5+7+7 = 19

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19+7.85 = 26.85

How many solutions does the equation 4x-7(x-2)=3x+2 have?

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Answer:

one solution, x=2

Step-by-step explanation:

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What fraction of the 25 sweets does Harry have now?

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Answer: 14

Step-by-step explanation:

1. Harry has 25/25 sweets

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Answer:

4.5 cubic feet

Step-by-step explanation:

Volume is calculated by length ⋅ width ⋅ height.

In this situation, we need to find the volume of the box and subtract the volume of the present from the volume of the box.

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Now that we have the volume of the box, we can subtract the volume of the present from it.

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rhymy

Step-by-step explanation:

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The answer to this question is false

67. There are 15 clarinet players, 12 flute
players, and 7 saxophone players in a
marching band. How many ways can the
band director create a trio consisting of
one clarinet player, one flute player, and
one saxophone player?
A. 34 ways
B. 187 ways
C. 1,260 ways
D. 1,500 ways

Answers

Answer:

A

Step-by-step explanation: add 15+12+7

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The band director can create a trio in 1,260 different ways.

Hence, option C is correct.

Use the concept of permutations,

The formula for permutations is,

⇒  [tex]^{n}P_{r}[/tex] = n! / (n - r)!

Where n is the total number of items and r is the number of items we are selecting.

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])

⇒  ([tex]^{15}P_{1}[/tex])   = 15! / (15 - 1)!

                = 15! / 14!

                = 15  

This represents the number of ways we can choose one clarinet player out of 15.  

([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!

     = 7

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,

⇒ 15 x 12 x 7 = 1,260

Therefore,

The band director can create a trio in 1,260 different ways.

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Answer:

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Step-by-step explanation:

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



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Answer:

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Answer:

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Answers

Given:

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Step-by-step explanation:

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brainly.com/question/28884894

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