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mojhsa [17]
3 years ago
7

Simplify the expression -10-9(-3-2v+3v)

Mathematics
1 answer:
Anna11 [10]3 years ago
4 0

Answer:

37-9v

Step-by-step explanation:

lets start with the parenthesizes

-9(-3-2v+3v)

multiply

27+18v-27v

next add the 10

37+18v-27v

combine the v's

37-9v

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Intersection point of Y=logx and y=1/2log(x+1)
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Answer:

The intersection is (\frac{1+\sqrt{5}}{2},\log(\frac{1+\sqrt{5}}{2}).

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What is the intersection point of y=\log(x) and y=\frac{1}{2}\log(x+1)?

Step-by-step explanation:

To find the intersection of y=\log(x) and y=\frac{1}{2}\log(x+1), we will need to find when they have a common point; when their x and y are the same.

Let's start with setting the y's equal to find those x's for which the y's are the same.

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Since \log(u)=\log(v) implies u=v:

x=(x+1)^\frac{1}{2}

Squaring both sides to get rid of the fraction exponent:

x^2=x+1

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Subtract (x+1) on both sides:

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Comparing this to ax^2+bx+c=0 we see the following:

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x=\frac{1 \pm \sqrt{5}}{2}

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The second solution definitely gives at least one of the logarithm equation problems.

Example: \log(x) has problems when x \le 0 and so the second solution is a problem.

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Let's find the y-coordinate.

You may use either equation.

I choose y=\log(x).

y=\log(\frac{1+\sqrt{5}}{2})

The intersection is (\frac{1+\sqrt{5}}{2},\log(\frac{1+\sqrt{5}}{2}).

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