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ExtremeBDS [4]
3 years ago
12

Which shows the factored form of x2 – 12x – 45?

Mathematics
2 answers:
Oxana [17]3 years ago
6 0
Hi!

(x+a)·(x+b) = x²+xa+xb+ab = x²-12x-45

x² = x²
xa+xb = (a+b)x = -12x ⇒ (a+b) = -12
ab = -45

When (a+b) = -12 and ab = -45?

+3-15 = -12 and (+3)(-15) = -45 
-3-15 = -18 and (-3)(-15) = +45
+3+15 = +18 and (+3)(+15) = +45
-3+15 = +12 and (-3+15) = -45

Answer:

(x+3)(x-15) 



elixir [45]3 years ago
4 0

Answer:

Howdy ya'll!!!

Step-by-step explanation:

I know that the answer would be (x+3) and (x-15). Good luck on whatever you are doing!!

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Answer:

There are 795 combinations.

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The number of ways or combinations in which we can select k element from a group of n elements is given by:

nCk=\frac{n!}{k!(n-k)!}

So, if Miriam want to choose 3 movies with at least two comedies, she have two options: Choose 2 comedies and 1 foreign film or choose 3 comedies.

Then, the number of combinations for every case are:

1. Choose 2 Comedies from the 10 and choose 1 foreign film from 15. This is calculated as:

10C2*15C1=\frac{10!}{2!(10-8)!}*\frac{15}{1!(15-14)!}

10C2*15C1=675

2. Choose 3 Comedies from the 10. This is calculated as:

10C3=\frac{10!}{3!(10-3)!}=120

Therefore, there are 795 combinations and it is calculated as:

675 + 120 = 795

8 0
3 years ago
For the equation 3x - 5y = -3, what is the value of y when x is 1?<br><br> 6/5<br> -6/5<br> 5/6
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Step-by-step explanation:

3(1) - 5y = -3\\3 - 5y = -3\\-3 \\5y = -6\\/5 \\\\\frac{-6}{5}

           

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Step-by-step explanation:

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Solve for y:<br> x + 2y = -8<br><br> y=-1/2x+4<br> y=-1/2x-4<br> y=-2x - 4<br> y=1/2x-4
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Answer:

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y= -1/2x + 4 =  y = 4

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Step-by-step explanation:

(x + 2y = -8 = y = -4 - 1/2x)

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4 0
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Answer:

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