How to find solution to system of equations using substitution?

Mathematics

1 answer:

iris [78.8K]3 years ago

7 0

Well u need to give me the equation and the substitutions for the variables then I can solve it

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765903 rounded to the nearest thousand

Anna11 [10]

I belive it would be 765000

3 0

3 years ago

the estimated mass of the earth 5.9742 x10^24 kg. The estimated volume of the earth is 1.0474 x10^21 kg^3. Use the following for

Artyom0805 [142]

Density is a value for mass, such as kg, divided by a value for volume, such as m3. Density is a physical property of a substance that represents the mass of that substance per unit volume.

Density = 5.9742 x10^24 kg / 1.0474 x10^21 m^3 = 5703.84 kg/m^3

5 0

3 years ago

How do i solve this exponential equation

Novay_Z [31]

Answer:

x = 0 or 1/2

Step-by-step explanation:

Solving an exponential equation of this nature with different bases and coefficients is always a bit of an ad hoc affair. Here, we can divide by the right side expression and make a substitution that turns it into a quadratic.

$3\cdot16^x+2\cdot81^x=5\cdot36^x\\\\0.6\left(\dfrac{4}{9}\right)^x+0.4\left(\dfrac{9}{4}\right)^x=1\\\\\textsf{Let $z=\left(\dfrac{4}{9}\right)^x$}\\\\0.6z+\dfrac{0.4}{z}=1\qquad\text{after substitution}\\\\3z^2-5z +2 = 0\qquad\text{multiply by $5z$ and put in standard form}\\\\(3z-2)(z-1)=0\qquad\text{factor}\\\\z=\dfrac{2}{3}\quad\text{or}\quad z=1\\\\x=\dfrac{\log(z)}{\log(4/9)}=\boxed{\dfrac{1}{2}\quad\text{or}\quad 0}$