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3 years ago

-2-2x+3x+2 in simplified expression

Mathematics

2 answers:

Nadusha1986 [10]3 years ago

7 0

Answer: 1x+0

Step-by-step explanation:

Put the like terms together I believe

lord [1]3 years ago

3 0

Answer:

Step-by-step explanation:

combine like terms and the negative and positive 2 cancel out

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3 years ago

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kupik [55]

Answer:

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2 years ago

A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=2−x2. What are the dimensions of su

Paul [167]

Answer:

Step-by-step explanation:

Given that a rectangle is inscribed with its base on the x-axis and its upper corners on the parabola

$y=2-x^2$

the parabola is open down with vertex at (0,2)

We can find that the rectangle also will be symmetrical about y axis.

Let the vertices on x axis by (p,0) and (-p,0)

Then other two vertices would be (p,2-p^2) (-p,2-p^2) because the vertices lie on the parabola and satisfy the parabola equation

Now width = $2-p^2$

Area = l*w = $2(2p-p^3)$

Use derivative test

I derivative = $2(2-3p^2)$

II derivative = $-12p$

Equate I derivative to 0 and consider positive value only since we want maximum

p = $\sqrt{\frac{2}{3} }$

Thus width= $\sqrt{\frac{2}{3} }$

Length = $2\sqrt{\frac{2}{3} }$

Width = $2-2/3 = 4/3$

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3 years ago

100,203 in word form

Zanzabum

One hundred thousand two hundred and three

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3 years ago

A car was originally purchased in January 2010 for 27000 dollars. The car depreciates at a rate of 18% every year.

Maksim231197 [3]

Answer:

Number of year(n) = 3.4 year (Approx)

Step-by-step explanation:

Given:

Purchase value of car = $27,000

Depreciation rate per year (d) = 18% = 0.18

Future price = half of its original value = $27,000 / 2 = $13,500

Find:

Number of year(n) = ?

Computation:

$Future price =Purchase value(1-d)^n\\\\13,500=27,000(1-0.18)^n\\\\0.5=(0.82)^n\\\\n=3.444(Approx)$

Number of year(n) = 3.4 year (Approx)

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3 years ago