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2 years ago

Which statement is true about the solution to ?

Mathematics

2 answers:

Firlakuza [10]2 years ago

7 0

Answer: There are no real number solutions to this equation.

emmainna [20.7K]2 years ago

6 0

Answer: correct

Step-by-step explanation: The solution is x = –1 because .

The solution is x = 1 because .

The solution is x = 0 because .

There are no real number solutions to this equation.

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Suppose that $p$ and $q$ are positive numbers for which \[\log_9 p = \log_{12} q = \log_{16} (p + q).\] what is the value of $q/

SVEN [57.7K]

Given $p,q>0$ and $\log_9p=\log_{12}q=\log_{16}(p+q)=x$ (say).

Then,

$p=9^x\\ q=12^x\\ p+q=16^x$

From the above 3 equations,

$\frac{q}{p} =(\frac{12}{9} )^x\\ \frac{q}{p} =(\frac{4}{3} )^x\\ \frac{p+q}{p} =(\frac{16}{9} )^x\\ \frac{p+q}{p} =(\frac{4}{3} )^{2x}\\$

From the equations, we get

$\frac{p+q}{p}=(\frac{q}{p})^2\\ 1+\frac{q}{p}=(\frac{q}{p})^2\\ (\frac{q}{p})^2-\frac{q}{p}-1=0\\ \frac{q}{p}=\frac{1 \pm \sqrt{5}}{2}$

Since $p,q>0$ , the negative value is rejected.

$\frac{q}{p}=\frac{1 + \sqrt{5}}{2}$

3 0

2 years ago

According to the general equation for conditional probability, if p(a^

Kitty [74]

This is the concept of probability and statistics;
The question requires us to get the conditional probability is given by:
P(A|B)=(P(A∩B))/P(B)
but;
P(A∩B)=3/10
P(B)=4/5
thus;
P(A|B)=(3/10)/(4/5)=3/8
The answer is 3/8

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Soloha48 [4]

Answer:

x=12, y=60

Step-by-step explanation:

Because the oppsite lines are parallel (you can tell because of the arrows) the opposite lines are the same length and the opposite angles are the same size.

This means y = 60 and x + 3 = 15 so x = 12

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