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Sidana [21]
3 years ago
7

Root( x-1 ) = 2 - root (x+3)

Mathematics
2 answers:
SOVA2 [1]3 years ago
7 0

Answer:

x=1

Step-by-step explanation:

\sqrt{x-1} =2-\sqrt{x+3}

Square both sides.

\left(\sqrt{x-1}\right)^2=\left(2-\sqrt{x+3}\right)^2

x-1=x+7-4\sqrt{x+3}

Subtract x on both sides.

x-1-x=x+7-4\sqrt{x+3}-x

-1=-4\sqrt{x+3}+7

Subtract 7 on both sides.

-1-7=-4\sqrt{x+3}+7-7

-8=-4\sqrt{x+3}

Square both sides.

\left(-8\right)^2=\left(-4\sqrt{x+3}\right)^2

64=16x+48

Subtract 48 on both sides.

64-48=16x+48-48

16=16x

Divide both sides by 16.

\frac{16}{16} =\frac{16x}{16}

1=x

Switch sides.

x=1

cluponka [151]3 years ago
4 0
Answer: x = 4

Explanation: root x-1 = 2- root x+3
First let’s take out the root by square both side by 2 we get:
x-1= 4-x+3
x-1 = -x+7
x+x = 7+1
2x= 8
x= 8/2=4
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Lon is selling gift baskets at a craft fair. His costs are $75 for the table and $12 per basket. He sells each basket for $20.
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Step-by-step explanation:

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Step-by-step explanation:

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The average rate of change of f from 2 to 3
vodomira [7]

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ARC=\frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}}


So, this problem asks for the Average Rate of Change of f from x_{1}=2 to x_{2}=3. In this way, we need to find f(x_{1}) \ and \ f(x_{2}). As you can see above, we have the graph of f(x), so we can find these values. Thus, from the graph:


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Therefore:


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