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3 years ago

Is it linear or non linear?

Mathematics

1 answer:

Keith_Richards [23]3 years ago

6 0

Linear is correct credit to the person above

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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

3 years ago

2qt/min=how many gal/s

Scrat [10]

Answer:

0.00833333333 I looked it up :3

8 0

3 years ago

Read 2 more answers

Write an equation for a line that passes thruogh (3,-1) and has a slope of 2

harkovskaia [24]

Answer:

y=2x−7

Step-by-step explanation:

formula is ( y 1 − y = m ( x 1 − x))

m is the slope

-1-y=2(3-x)

add 1 to both sides

−y−1+1=−2x+6+1

−y=−2x+7

divide both sides by -1

y=2x−7

Hope this helps

Brainliest please

Ask if u have more questions.

3 0

3 years ago

A triangle is rotated 90° about the origin. Which rule describes the transformation?

enyata [817]

Answer:

(x,y) -> (-y,x), second option.

Step-by-step explanation:

Rotation of 90 degrees about the origin:

The rule for a rotation of a point (x,y) 90 degrees about the origin is given by:

(x,y) -> (-y,x)

This is that the question asks, and so, this is the answer, which is the second option.

4 0

3 years ago

Who knows this? Help me please

Temka [501]

Answer:

1/8

Step-by-step explanation:

5 0

3 years ago