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Amiraneli [1.4K]
3 years ago
8

8x=-4(x+3) I would really appreciate some help

Mathematics
2 answers:
Elenna [48]3 years ago
5 0

Answer: x=−1

Explanation:

Step 1. You need to simplify both sides of the equation.

8x=−4(x+3)

8x=(−4)(x)+(−4)(3)   (Remember to distribute)

8x=−4x+−12

8x=−4x−12

Step 2. Then add 4x to both sides.

8x+4x=−4x−12+4x

12x=−12

Step 3. Lastly, divide both sides of the equation by 12.

12x/12 = -12/12

x=−1

Final Answer: x=−1

Hope I could help! :)

olganol [36]3 years ago
4 0

Answer:

x = -1

Step-by-step explanation:

8x = - 4(x + 3)

8x = -4x - 12

+4x  +4x

<u>12x = -12</u>

12       12

x = -1

  • Remember, a negative times a positive equals a negative
  • Remember, a negative divided by a positive equals a negative

Hope this helps you!!! :)

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BabaBlast [244]

Answer:

a) 0.54 = 54% probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both.

b) 0.46 = 46% probability that a randomly selected person will not feel guilty for either of these reasons

Step-by-step explanation:

We use Venn's Equations for probabilities.

I am going to say that:

P(A) is the probability that a randomly selected person will feel guilty about wasting food.

P(B) is the probability that a randomly selected person will feel guilty about leaving lights on when not in a room.

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This means that P(A \cap B) = 0.12

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This means that P(B) = 0.27

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This means that P(A) = 0.39

a. What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both (to 2 decimals)?

P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.39 + 0.27 - 0.12 = 0.54

0.54 = 54% probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both.

b. What is the probability that a randomly selected person will not feel guilty for either of these reasons (to 2 decimals)?

p = 1 - P(A \cup B) = 1 - 0.54 = 0.46

0.46 = 46% probability that a randomly selected person will not feel guilty for either of these reasons

8 0
3 years ago
What is the axis of symmetry for the function (x)=5x^2+8?
Hunter-Best [27]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
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-112=16e<br> Solve for e
snow_tiger [21]

Answer: -7 = e

Step-by-step explanation: To solve this equation for <em>e</em>, we need to get <em>e</em> by itself on the right side of the equation. Since <em>e</em> is multiplied by 16, in order to get <em>e</em> by itself, we need to divide by 16 on the right side of the equation. If we divide by 16 on the right side of the equation, we must also divide by 16 on the left side of the equation.

On the right side of the equation the 16's cancel and we have <em>e</em>. On the right side of the equation -112 divided by 16 is -7. Remember that a negative divided by a positive is a negative.

So we have -7 = e which is the solution to our equation.

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5 0
3 years ago
Prove the identity sin4x=2sin2xcos2x
Musya8 [376]
There is a trig identity called the sum of 2 angles for sin its<span>
sin(a+b)=sin(a)cos(b)+cos(a)(sin(b)
</span>
You will need to use it. So in your question split the 4x in 2 equal parts 2x and 2x
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</span><span>sin(4x)=sin(2x+2x)

</span>Now using the expansion above you will get

<span>sin(2x+2x)=sin(2x)×cos(2x)+cos(2x)×sin(2x)

</span>And it will simplify to 

<span><span>2sin(2x)cos(2x)

I hope this helps you! Good luck :)</span></span>
5 0
3 years ago
Read 2 more answers
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