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GalinKa [24]
2 years ago
7

Solve the following equation by factoring: x^2+ x– 42 = 0

Mathematics
1 answer:
Anastaziya [24]2 years ago
3 0

Answer:

x=6,x=-7

Step-by-step explanation:

x^2+x-42=0

x^2-6x+7x-42=0

x(x-6)7(x-6)=0

(x-6)(x+7)=0

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DJ Mykel is making a playlist for a radio show; he is trying to decide what 14 songs to play and in what order they should be pl
konstantin123 [22]

Answer:

5878600 different playlists.

Step-by-step explanation:

Since we require 14 songs for the playlist and there are 7 hip-hop, 5 jazz, 7 pop, and 8 blues songs, and DJ Mykel wants to play no more than 3 hip-hop songs, the number of ways in which he can combine the 7 hip-hop songs to play no more than 3 is ⁷C₃ = 7!/4!3!.

Now, since we have 3 songs already selected, we are left with 14 - 3 = 11 songs to select.

Since we have selected the 3 hip-hop songs, we are left with 5 jazz, 7 pop, and 8 blues songs which sum to a total of 20 songs.

So, we have 20 songs to select in 11 ways which is ²⁰C₁₁ = 20!/(20 - 11)!11! = 20!/9!11!

So, the number of different playlists that can be formed is thus

⁷C₃ × ²⁰C₁₁ =  7!/4!3!.× 20!/9!11!

= 35 ×  167960

= 5878600 different playlists.

8 0
2 years ago
Please only answer if you can help!!
Masteriza [31]

Answer:

Shifted by 6 units left on the x-axis.

Step-by-step explanation:

Given function is,

f(x) = 5ˣ + 1

After transformation, this function becomes g(x) = 5^{(x+6)}+1

Here, g(x) = f(x + 6)

By the rule of transformation,

Function 'f' has been shifted by 6 units left on the x-axis to form a new function 'g'.

8 0
3 years ago
Tiva earns $48 for 6 hours of babysitting. Complete each statement if Tiva keeps earning her babysitting money at this rate. CLE
lawyer [7]
8.5
= (48 \div 6) \times 8.5
8 \times 8.5
= 68

$32

Perhour =8
32/8 =4 hours
3 0
3 years ago
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What is the sign of 3x y3xy3, x, y when x>0x>0x, is greater than, 0 and y<0y<0y, is less than, 0?
jekas [21]

Answer:

Negative

Step-by-step explanation:

We\ have\ to\ find\ sign\ of\ 3xy^3\\\\x>0\ and\ y0,y

4 0
3 years ago
Read 2 more answers
Five ninths plus four sixths have a nice day Owo
Nat2105 [25]

Answer:

<em>Shoyo here!</em>

Step-by-step explanation:

1.22222222222

hehe, that's a long number- have a nice day! <3

8 0
3 years ago
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