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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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A bag contains 10 counters
juin [17]

44%

6/10 = 3/5

3/5 x 1/10 = 3/50

3/50 x 1/10 = 3/500

3/500 / 2/6 = 44/100

7 0
2 years ago
Convert the following units of time. a. 5 years to days b. 8 weeks to days c. 7 days to weeks d. 336 hours to seconds e. 12 hour
AysviL [449]

Answer:

A. 1,825 days

B. 56 days

C. 1 week

D.  1,209,600 seconds

E. 43,200 seconds

F. 2 hours

Step-by-step explanation:

A. 1 year = 365 days, then

5 years = 5\cdot 365 days = 1,825 days.

B. 1 week = 7 days, then

8 weeks = 8\cdot 7 days = 56 days.

C. 7 days = 1 week.

D. 1 hour = 3,600 seconds, then

336 hours = 336\cdot 3,600 seconds = 1,209,600 seconds.

E 12 hours = 12\cdot 3,600 seconds = 43,200 seconds.

F. 3,600 seconds = 1 hour, then

7,200 seconds = \dfrac{7,200}{3,600} hours = 2 hours.

3 0
3 years ago
Read 2 more answers
If you can buy 21 packages of grape tomatoes for 52.50$ then how many can you buy with 17.50$
Brums [2.3K]

Answer: With $17.50 you can buy 7 packs of grape tomatoes.

Step-by-step explanation: For this question you can find the answer by taking 52.50 ÷ 21 which is 2.5 so that packs are $2.50 a pack and then you can either plug in numbers or take 17.50 ÷ 2.5.

Hope this helps.

7 0
3 years ago
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Which is a factor of 144 - 49x²?<br> O 12-7x²<br> O 72-7x²<br> O 12-7x<br> O 72 + 7x
lisabon 2012 [21]

Answer: C: 12-7x

Step-by-step explanation:

This expression is a good example of the difference of two squares, as 144 is the square of 12, while 49x² is the square of 7x.

Any difference of two squares a^2-b^2 can be factored into the sum of their square roots times the difference of their square roots (a+b)(a-b).

Let's factor our expression.

144-49x^2=(12+7x)(12-7x)

Out of all the options given, only 12-7x is a factor. Hence, option C is correct.

4 0
1 year ago
What is 3(x^2+2x-3)-4(4x^2-7x+5) equal to show step by step explanation
Lelu [443]

Step-by-step explanation:

\huge{\underbrace{\overbrace{\mathfrak{\pink{Answer:}}}}}

3(x2+2x-3)-4(4x2-7x+5)

3x2 + 6x - 9 - 16x2 + 28x - 20

-13x2 + 34x - 29

7 0
2 years ago
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