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lina2011 [118]
3 years ago
8

PLEASE HELP!! Factor 6x^2-42x-54 Please show work!

Mathematics
1 answer:
skad [1K]3 years ago
6 0

first, rewrite 54 as 6•9

next, rewrite 42 as 6•7

then, that gets you 6x^2 -6•7x- 6•9

lastly, factor out the common term (6)

and then you get 6(x^2-7x-9)

<u>please mark as brainliet <3</u>

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on the last night of scout camp Chris his wife Joe and the 11 other adults sit down for supper along one side of a long rectangu
yawa3891 [41]

Based on the information provided, it follows that there are 1,728 possible seating arrangements.

<h3>How can we find the number of possible arrangements?</h3>

To find the number of arrangements in this problem situation we must take into account the following key factors:

  • Chris only has 1 possible seat.
  • Jo has 2 possible seats.
  • Dave, Alex, and Barb have 3 possible seats.
  • Gareth, Fred, and Eddie have 3 possible seats.
  • There are 4 other adults who do not have a preference in seats but have the possibility of using 4 seats.

According to the above, we must use the factorization of these numbers to find out the number of possibilities we have to seat them.

<h3>What is factoring?</h3>

A factorial function is a mathematical tool that is characterized by using the exclamation mark “!” behind a number. The factorial function is used to express that the number accompanied by the symbol must be multiplied by all positive integers between that number and 1.

In accordance with the above, in the problem situation that we must solve, we must use the factorial function with the possibilities of:

  • Dave, Alex and Barb: 3! = 3 × 2 × 1 = 6
  • Gareth, Fred and Eddie: 3! = 3 × 2 × 1 = 6
  • Other 4 adults: 4! = 4 × 3 × 2 × 1 = 24

Subsequently, to calculate the number of total possibilities of the entire group we must multiply the possibilities of each group and individual as shown below:

  • Number of possibilities = 1 × 2 × 6 × 6 × 24
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Learn more about the factorial function in: brainly.com/question/16674303

4 0
2 years ago
How many ten and ones are in 26
Sidana [21]

Answer:2 tens and 6 ones

Step-by-step explanation:

10+10=20+6=26

3 0
4 years ago
The cost for 7 dance lessons is 82$. The cost for 11 lessons is 122$. Write and solve an equation to find the cost of 4 lessons
Juliette [100K]

Answer:

$52

Step-by-step explanation:

Using the equation

y=mx+c

82=7x+c

122=11x+c

11x-7x=122-82

4x=40

x=10

To get c

82=7(10)+c

82-70=c

c=12

For 4 lessons

y=10(4)+12=52

6 0
3 years ago
IF U UNDERSTAND THIS PLS ANSWER WITH NO LINK!!!​
Nikitich [7]

Answer:

<em><u>First</u></em><em><u> </u></em><em><u>Column</u></em><em><u> </u></em><em><u>top</u></em><em><u>:</u></em>

5. 3. 10

<em><u>Second</u></em><em><u> </u></em><em><u>Column</u></em><em><u> </u></em><em><u>middle</u></em><em><u>:</u></em>

9. 7. 2

<em><u>Third</u></em><em><u> </u></em><em><u>Column</u></em><em><u> </u></em><em><u>bottom</u></em><em><u>:</u></em>

4. 8. 6

<em><u>Hence</u></em><em><u>,</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>grid</u></em><em><u> </u></em><em><u>would</u></em><em><u> </u></em><em><u>be</u></em><em><u>,</u></em>

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6 0
3 years ago
Assume equal likelihood for the birth of boys and girls. What is the probability that a four-child family chosen at random will
garik1379 [7]
Each child has a 50% chance to be a girl and 50%chance to be a boy so with 4 children the probability is
\frac{1}{2}  \times  \frac{1}{2}  \times  \frac{1}{2} \times  \frac{1}{2}  =  \frac{1}{16}
7 0
3 years ago
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