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pentagon [3]
3 years ago
12

If 3p+4q=8 and 4p+3q=13, what is q equal to?

Mathematics
1 answer:
alexira [117]3 years ago
8 0
Q= -1. I did this problem by elimination, by multiplying the first one by -4 and the second by 3, to cancel out the p. I ended up with -7q=7. I divided both sides by -7, and got q=-1. 
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<img src="https://tex.z-dn.net/?f=4%20%5Ctimes%208%20%5E%7B2x%20%2B%201%3F%7D%20%20%3D%2032%20%5E%7Bx%20%2B%202%7D%20" id="TexFo
svet-max [94.6K]

Answer:

x = 5

Step-by-step explanation:

<u>__________________________________________________________</u>

<u>FACTS TO KNOW BEFORE SOLVING</u> :-

  • a^x \times a^y = a^{x+y}
  • In an equation , if the bases are same in both L.H.S. & R.H.S. then , the power of the bases on both the sides of equation should be equal. For e.g. : a^x = a^y  ⇒  x = y  [∵ Bases are equal on both the sides]

<u>__________________________________________________________</u>

4 \times 8^{2x+1} = 32^{x+2}

Lets express it in terms of 2.

=> 2^2 \times 2^{3 (2x+1)} = 2^{5(x+2)}

=> 2^2 \times 2^{6x+3} = 2^{5x+10}

=> 2^{2 + 6x+3} = 2^{5x+10}

=> 2^{6x+5} = 2^{5x+10}

Here the bases on both the sides are equal. Hence ,

=> 6x + 5 = 5x + 10

=> 6x - 5x = 10 - 5

=> x = 5

6 0
3 years ago
2!/0! = 2, 0 or undefined
Cloud [144]

Answer:

Undefined.

Step-by-step explanation:

Because there is a 0 in the denominator.

3 0
3 years ago
Read 2 more answers
What is the domain of the sine and cosine functions?
tatiyna

Remember that the domain is all possible x values of a function. In the case of sine and cosine functions, they go up and down (like waves), but go on forever. Therefore, the domain is all real numbers.

Correct Answer: B, All Real Numbers

Hope this helps!

6 0
3 years ago
Read 2 more answers
Find an equation in slope-intercept form of the line that has slope -7 and passes through point A(-7, - 2).
aliya0001 [1]

Answer:

Step-by-step explanation:

y + 2 = -7(x + 7)

y + 2 = -7x - 49

y = -7x - 51

answer is b

3 0
3 years ago
Can you please help with adjacent angles?
mojhsa [17]
Adjacent angles are angles that have a common side and a common vertex. The only one that fits this would be <FEC and <FEH because it shares the side of FE and common vertex of E. I hope this helps you. :)
4 0
3 years ago
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