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uysha [10]
2 years ago
9

Arrange the steps from start to finish to factor this expression using the grouping method x^2-5x-24 drag the tiles to the corre

ct boxes not all tiles will be used step by step
Mathematics
1 answer:
rosijanka [135]2 years ago
7 0

Answer:

(x - 8)(x + 3)

Step-by-step explanation:

x² - 5x - 24

Consider the factors of - 24 which sum to give the coefficient of the x- term (- 5)

The factors are - 8 and + 3 , since

- 8 × + 3 = - 24 and - 8 + 3 = - 5

Use these factors to split the x- term

x² - 8x + 3x - 24 ( factor the first/second and third/fourth terms )

= x(x - 8) + 3(x - 8) ← factor out (x - 8) from each term

= (x - 8)(x + 3) ← in factored form

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Multiply. Check picture.
VashaNatasha [74]

The answer is 3x^4-13x^3-x^2-11x+6.

Solution:

Use algebraic identity: a^m\times a^n=a^{m+n}

For example: x^2\times x=x^{2+1}=x^3

Given expression (x^2-5x+2) and (3x^2+2x+3).

To multiply these equations.

(x^2-5x+2)\times(3x^2+2x+3)

             =x^2(3x^2+2x+3)-5x(3x^2+2x+3)+2(3x^2+2x+3)

             =(3x^4+2x^3+3x^2)+(-15x^3-10x^2-15x)+(6x^2+4x+6)

             =3x^4+2x^3+3x^2-15x^3-10x^2-15x+6x^2+4x+6

Combine like terms together.

             =3x^4+(2x^3-15x^3)+(3x^2-10x^2+6x^2)-15x+4x+6

             =3x^4-13x^3-x^2-11x+6

(x^2-5x+2)\times(3x^2+2x+3)=3x^4-13x^3-x^2-11x+6

Hence the answer is 3x^4-13x^3-x^2-11x+6.

3 0
3 years ago
the sum of 2 numbers is 49. Twice the smaller number is 97 less than 3 times the larger number. What are the numbers?
ivanzaharov [21]

Answer:

let the larger and  smaller number be x and y respectively

first condition

x + y = 49

second condition

3x = 2y+97

3x-2y =97

Multiplying first condition by two and adding both equations

2x + 2y = 98

<u>3x -2y = 97</u>

5x =  195

x = 195/5 = 39

putting the value of x in

x + y = 49

y = 49 -39 = 10

again

Step-by-step explanation:

3 0
3 years ago
What is the equation of the line in slope intercept form?​
PilotLPTM [1.2K]

Answer:

y=3/5x+3

Step-by-step explanation:

8 0
3 years ago
Which of the following are exterior angles? Check all that apply.
choli [55]

Answer:

<h3>A. C. E. F.</h3><h3>That is, 2, 3, 5 and 6.</h3>

Step-by-step explanation:

In geometry, <em>exterior angles are any angle place between any side of a shape and a line extended from the next side</em>, as the figure shows.

As you can see, angle 2 and 3 are formed by a side of the triangle and an extended line from the next side. Similarly, angles 5 and 6 are formed the same way. Therefore, those four  are exterior angles.

8 0
3 years ago
Read 2 more answers
An experiment consists of tossing a die and then flipping a coin once if the number on the die is even. If the number on the die
Dahasolnce [82]

Answer:

Kindly check attached picture and explanation

Step-by-step explanation:

A.) The tree diagram is attached in the picture below.

B.) Number less than 3 :

Event A:

A = {1HH, 1HT, 1TT, 1TH, 2H, 2T}

C.)

Event B:

B = {1TT, 3TT, 5TT}

D.)

Event C:

C = {1HT, 1TH, 3HT,3TH,5HT, 5TH}

E.)  

A' = Elements not in A = number ≥ 3

A' = {3HH,3HT, 3TT, 3TH, 4H, 4T, 5HH, 5HT, 5TH, 5TT, 6H, 6T}

Question f and G are not well formatted ;

h. Check attached picture

I) i. Are A and B mutually exclusive? Are A and C mutually exclusive? Are B and C mutually exclusive?

A and B are mutually exclusive if AnB = ∅

Check :

AnB = {1TT}

Hence, A and B are not mutually exclusive

A and C

AnC = {1HT, 1TH}

A and C are not mutually exclusive.

B and C

BnC = ∅

B and C are mutually exclusive

4 0
2 years ago
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