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2 years ago

A variable needs to be eliminated to solve the system of equations

Mathematics

1 answer:

____ [38]2 years ago

3 0

Answer:

The first step would be to subtract the two equations.

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The next model of a sports car will cost 12.9% more than the current model. The current model costs $33,000. How much will the p

Vilka [71]

Multiply by 1.129 for the new total and subtract 33000 for the increase
$4257
$37257

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2 years ago

When a number x is multiplied by 9, the result is 35 . What is the value of x?

svp [43]

a number x is multiplied by 9 : 9x

a number x is multiplied by 9, the result is 35 : 9x = 35

solve for x

9x = 35
x = 35/9
x = 3 8/9 (3 and 8/9)

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2 years ago

What is 7981 km and 943 m in milametres?

lakkis [162]

7 981 943 000 Millimeters

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2 years ago

Read 2 more answers

Find the volume of the region between the planes x plus y plus 2 z equals 2 and 4 x plus 4 y plus z equals 8 in the first octant

Alex787 [66]

Find the intercepts for both planes.

Plane 1, x + y + 2z = 2:

$y=z=0\implies x=2\implies (2,0,0)$

$x=z=0\implies y=2\implies(0,2,0)$

$x=y=0\implies 2z=2\implies z=1\implies(0,0,1)$

Plane 2, 4x + 4y + z = 8:

$y=z=0\implies4x=8\implies x=2\implies(2,0,0)$

$x=z=0\implies4y=8\impliesy=2\implies(0,2,0)$

$x=y=0\implies z=8\implies(0,0,8)$

Both planes share the same x- and y-intercepts, but the second plane's z-intercept is higher, so Plane 2 acts as the roof of the bounded region.

Meanwhile, in the (x, y)-plane where z = 0, we see the bounded region projects down to the triangle in the first quadrant with legs x = 0, y = 0, and x + y = 2, or y = 2 - x.

So the volume of the region is

$\displaystyle\int_0^2\int_0^{2-x}\int_{\frac{2-x-y}2}^{8-4x-4y}\mathrm dz\,\mathrm dy\,\mathrm dx=\displaystyle\int_0^2\int_0^{2-x}\left(8-4x-4y-\frac{2-x-y}2\right)\,\mathrm dy\,\mathrm dx$

$=\displaystyle\int_0^2\int_0^{2-x}\left(7-\frac72(x+y)\right)\,\mathrm dy\,\mathrm dx=\int_0^2\left(7(2-x)-\frac72x(2-x)-\frac74(2-x)^2\right)\,\mathrm dx$

$=\displaystyle\int_0^2\left(7-7x+\frac74 x^2\right)\,\mathrm dx=\boxed{\frac{14}3}$

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2 years ago

What is x: 1.5x - 6=7.5

enot [183]

$\large\text{Hey there!}$

$\mathsf{1.5x - 6=7.5}\\\mathsf{\bf{\underline{ADD}}}\mathsf{\ by\ 6\ on\ both\ of\ your\ sides}\\\mathsf{1.5x-6+6=7.5+6}\\\mathsf{Cancel\ out: -6+6\ because\ it\ equals\ 0}\\\mathsf{Keep:7.5+6\ because\ it\ helps\ us\ solve\ for\ your\ answer}\\\mathsf{7.5 + 6=13.5}\\\mathsf{We\ get: 1.5x=13.5}\\\mathsf{\bf{\underline{Divide}}}\mathsf{\ both\ sides\ by\ 1.5\ on\ your\ sides}\\\mathsf{\dfrac{1.5x}{1.5}=\dfrac{13.5}{1.5}}\\\\\mathsf{Cancel\ out: \dfrac{1.5x}{1.5}\ because\ it\ equals\ 1}$

$\mathsf{Keep: \dfrac{13.5}{1.5}\ because\ it\ gives\ you\ x}\\\\\mathsf{\dfrac{13.5}{1.5}=13.5\div1.5\rightarrow9}\\\\\\\boxed{\boxed{\mathsf{\bf{Your\ ANSWER: \boxed{\mathsf{x=9}}}}}}\checkmark$

$\large\text{Good luck on your assignment and enjoy your day!}\\\\\\\dfrac{\frak{LoveYourselfFirst}}{:)}$

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2 years ago