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3 years ago

14

The length of a rectangular patio is 14 feet more than its width, 2w. The area of a patio, A(w), can be represented by the funct

ion

1 answer:

nydimaria [60]3 years ago

5 0

Answer: 4w^2 + 28w.

Step-by-step explanation:

Width of the rectangle= 2w

Length if the rectangle= 2w+14

Area of a rectangle= length×width

= 2w(2w+14)

= 4w^2 + 28w

The area of the rectangular patio A(w) is 4w^2 + 28w.

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What is 1.5 m - 5 cm ?

Alenkasestr [34]

Answer:

1.45 m

Step-by-step explanation:

Convert 1.5 metre into cm

1.5 metre =150 center meters

150 cm -5=145

145 into metres is 1.45 m

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3 years ago

Y=-x^2-x-3 find the X intercept for The parabola define by this equation

KengaRu [80]

To find the X intercept make y =0. Then factor out a negative on the side with the equation for each of the terms, so it becomes
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3 years ago

MrRa [10]

false... even if you got 100 on the next test, you would only have an 84 average

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3 years ago

Solve the equation <img src="https://tex.z-dn.net/?f=%2835%20x%5E%7B4%7D%20y%2B14%20x%5E%7B5%7D%20y-2%20y%5E%7B3%7D-4x%20y%5E%7B

jeka94

$\underbrace{35x^4y+14x^5y-2y^3-4xy^3}_M\,\mathrm dx+\underbrace{7x^5-6xy^2}_N\,\mathrm dy=0$

$M_y=35x^4+14x^5-6y^2-12xy^2$
$N_x=35x^4-6y^2$

$\dfrac{N_x-M_y}N=\dfrac{-14x^5+12xy^2}{7x^5-6xy^2}=-2$

This suggests an integrating factor depending on $x$ only is possible, and given by

$\mu(x)=\exp\left(-\displaystyle\int\frac{N_x-M_y}N\,\mathrm dx\right)=e^{2x}$

Distributing across the ODE, we end up with

$\underbrace{(35x^4y+14x^5y-2y^3-4xy^3)e^{2x}}_{M^*}\,\mathrm dx+\underbrace{(7x^5-6xy^2)e^{2x}}_{N^*}\,\mathrm dy=0$

The equation is now exact, with

${M^*}_y={N^*}_x=(35x^4+14x^5-6y^2-12xy^2)e^{2x}$

Now we find the solution:

$F_x=M^*$
$F=\displaystyle\int(35x^4+14x^5-2y^3-4xy^3)e^{2x}\,\mathrm dx$
$F=(7x^5y-2xy^3)e^{2x}+f(y)$

$F_y=N^*$
$(7x^5-6xy^2)e^{2x}+f'(y)=(7x^5-6xy^2)e^{2x}$
$f'(y)=0$
$\implies f(y)=C$

The general solution is then

$F(x,y)=(7x^5y-2xy^3)e^{2x}=C$

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4 years ago

Which expression is equivalent to 2*3 / 2^6<br> A 2^2<br> B 1/2^2<br> C 2^8<br> D 1/2^8

harkovskaia [24]

Answer:

Step-by-step explanation:

B

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3 years ago