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pochemuha
3 years ago
13

Solve. -7x=x^2+12 help

Mathematics
1 answer:
Nat2105 [25]3 years ago
3 0

Hey There!

The answer to your problem is x=-3 or x=-4 both answers are correct!

<u>Step 1: Subtract x²+12 from both sides.</u>

−7x−(x²+12)=x²+12−(x²+12)

−x²−7x−12=0

<u>Step 2: Factor left side of equation.</u>

(-x-3)(x+4)=0

<u>Step 3: Set factors equal to 0.</u>

-x-3=0 or x+4=0

<u>Get your answer:</u>

x=-3 or x=-4

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Anettt [7]

Answer:

fog = 2√(x-1) + 1

Domain = [1, \infty)

Step-by-step explanation:

Given the functions  f(x)=2x+1 and g(x)=sqrt(x-1), we are to find the composite function fog

fog = f(g(x))

f(g(x)) = f(√(x-1))

f(√(x+1)) means that we are to replace variable x in f(x) with the function √(x-1)

f(√(x-1)) = 2(√(x-1))+1

f(√(x+1)) = 2√(x-1) + 1

fog = 2√(x-1) + 1

<em>For the function to exist on any real valued function, then the function inside square root i.e x-1 must be greater than or equal to zero (x-1≥0)</em>

If x-1≥0

x≥0+1

x≥1

This means the range of variable x must be values of x greater than or equal to 1.

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8 0
3 years ago
If lines ab and cd are parallel, which of the following statements are true?
LiRa [457]
The correct answers are:
(D) a<span>b ll cd 
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Explanation:
The symbol for parallel is " </span>ll ". Therefore, if we translate the given sentence, <span>ab and cd are parallel, into the Mathematical terms, we can write it as:
</span>
ab ll cd (Option D)

Where ab = line
cd = line

Furthermore, the lines ab and cd are coplanar because they form the plane. In other words, you can say that the lines ab and cd lie on the same plane. (Option F)

Hence the correct answers are:
(D) ab ll cd 
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8 0
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The call premium is $35

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Hi, the call premium is found as follows.

Call Premium=CallPrice-Value

CallPremium=1,035-1,000=35

So, the call premium is $35.

Best of luck.

8 0
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