Maria wrote the equation What is the solution to Marias equation?

Gauthmathier0898

Course 8 · 2021-xi-03

Answer

Answer: C. AFind the domain of the inequality:beginequationbegincases 10/2 > 0dfrac20x2 > 0x2 neq 0endcasesendeq

Explanation

Answer: C. AFind the domain of the inequality:beginequationbegincases x/2 > 0dfrac20x2 > 0x2 neq 0endcasesendeq

A
Find the domain of the inequality:\begin{equation}\brainstorm{cases}\dfrac{x}{two} > 0\\\dfrac{20}{x^{2}} > 0\\10^{two} \neq 0\cease{cases}\cease{equation}
Carve up both sides of the inequality by the coefficient of variable:x > 0
Find the domain of the inequality:x^{2} \neq 0
Convert inequality to equation:ten^{2} = 0
The exponential term is zero if and only if the base of operations is zero:ten = 0
Catechumen equation to inequality:x \neq 0
The domain of the inequality is:x \neq 0
Catechumen fractional inequality to standard inequality:20 x^{ii} > 0
Inequality transformation:ane > 0
The solution of the inequality :ten \neq 0
Change identity sign into equality sign:x^{2} = 0
The exponential term is null if and just if the base is zip:x = 0
Find the union:10 = 0
Convert equation to inequality:x \neq 0
Find the intersection:x < 0 or x > 0
Discover the intersection:x < 0 or x > 0
Convert inequality to equation:10^{2} = 0
The exponential term is zero if and simply if the base is nil:x = 0
Convert equation to inequality:x \neq 0
Find the intersection:x > 0
The domain of the inequality is:x > 0
Take product of the arguments:\log_{x}{(\dfrac{x}{ii} \times \dfrac{twenty}{x^{ii}})} = \log_{x}{8}
Corresponding arguments are equal, and a new equation is obtained:\dfrac{x}{two} \times \dfrac{20}{x^{2}} = 8
Reduce the expression to the everyman term:\dfrac{10}{x} = 8
Multiply both sides of the equation past the common denominator:\dfrac{10 x}{ten} = 8 x
Reduce the fractions:ten = viii x
Swap the sides:8 x = ten
Divide both sides of the equation past the coefficient of variable:x = \dfrac{10}{8}
Cross out the mutual gene:ten = \dfrac{5}{four}
Detect the intersection:x = \dfrac{5}{four}
get the result:False
Respond: False
B
Find the domain of the inequality:\begin{equation}\begin{cases}\dfrac{x}{2} > 0\\\dfrac{20}{x^{2}} > 0\\x^{2} \neq 0\end{cases}\end{equation}
Divide both sides of the inequality past the coefficient of variable:x > 0
Find the domain of the inequality:ten^{2} \neq 0
Convert inequality to equation:x^{ii} = 0
The exponential term is zero if and merely if the base of operations is zero:x = 0
Convert equation to inequality:x \neq 0
The domain of the inequality is:x \neq 0
Convert partial inequality to standard inequality:twenty x^{2} > 0
Inequality transformation:1 > 0
The solution of the inequality :x \neq 0
Modify identity sign into equality sign:ten^{2} = 0
The exponential term is zero if and only if the base is aught:x = 0
Detect the union:x = 0
Catechumen equation to inequality:x \neq 0
Observe the intersection:x < 0 or x > 0
Find the intersection:10 < 0 or 10 > 0
Catechumen inequality to equation:ten^{2} = 0
The exponential term is nothing if and but if the base is zero:x = 0
Convert equation to inequality:x \neq 0
Find the intersection:x > 0
The domain of the inequality is:x > 0
Take production of the arguments:\log_{10}{(\dfrac{x}{2} \times \dfrac{twenty}{x^{2}})} = \log_{ten}{viii}
Respective arguments are equal, and a new equation is obtained:\dfrac{x}{2} \times \dfrac{20}{ten^{two}} = 8
Reduce the expression to the lowest term:\dfrac{10}{x} = 8
Multiply both sides of the equation by the common denominator:\dfrac{x 10}{ten} = 8 x
Reduce the fractions:x = 8 x
Swap the sides:8 x = ten
Divide both sides of the equation by the coefficient of variable:x = \dfrac{10}{8}
Cantankerous out the common cistron:x = \dfrac{5}{iv}
Find the intersection:x = \dfrac{5}{4}
become the event:Faux
Reply: Simulated
C
Find the domain of the inequality:\brainstorm{equation}\begin{cases}\dfrac{x}{two} > 0\\\dfrac{20}{x^{two}} > 0\\x^{2} \neq 0\terminate{cases}\end{equation}
Divide both sides of the inequality by the coefficient of variable:x > 0
Find the domain of the inequality:x^{2} \neq 0
Convert inequality to equation:10^{2} = 0
The exponential term is zero if and merely if the base is zero:x = 0
Convert equation to inequality:x \neq 0
The domain of the inequality is:x \neq 0
Convert fractional inequality to standard inequality:xx x^{2} > 0
Inequality transformation:1 > 0
The solution of the inequality :x \neq 0
Modify identity sign into equality sign:x^{two} = 0
The exponential term is zero if and only if the base is zero:x = 0
Detect the union:ten = 0
Catechumen equation to inequality:x \neq 0
Find the intersection:ten < 0 or x > 0
Find the intersection:ten < 0 or 10 > 0
Convert inequality to equation:x^{2} = 0
The exponential term is zero if and only if the base of operations is zero:ten = 0
Convert equation to inequality:x \neq 0
Find the intersection:x > 0
The domain of the inequality is:x > 0
Take product of the arguments:\log_{10}{(\dfrac{x}{2} \times \dfrac{20}{x^{2}})} = \log_{10}{eight}
Respective arguments are equal, and a new equation is obtained:\dfrac{ten}{2} \times \dfrac{20}{x^{2}} = eight
Reduce the expression to the lowest term:\dfrac{x}{x} = 8
Multiply both sides of the equation past the mutual denominator:\dfrac{10 10}{ten} = 8 10
Reduce the fractions:ten = 8 x
Swap the sides:8 x = ten
Divide both sides of the equation by the coefficient of variable:ten = \dfrac{10}{8}
Cross out the common factor:x = \dfrac{5}{4}
Find the intersection:x = \dfrac{5}{4}
get the result:True
Answer: Truthful
D
Find the domain of the inequality:\begin{equation}\begin{cases}\dfrac{x}{2} > 0\\\dfrac{20}{x^{ii}} > 0\\x^{2} \neq 0\terminate{cases}\end{equation}
Split both sides of the inequality by the coefficient of variable:x > 0
Notice the domain of the inequality:x^{2} \neq 0
Convert inequality to equation:x^{ii} = 0
The exponential term is zilch if and simply if the base of operations is aught:x = 0
Convert equation to inequality:x \neq 0
The domain of the inequality is:x \neq 0
Convert fractional inequality to standard inequality:20 ten^{2} > 0
Inequality transformation:1 > 0
The solution of the inequality :x \neq 0
Change identity sign into equality sign:x^{2} = 0
The exponential term is cypher if and only if the base is zero:x = 0
Find the union:x = 0
Convert equation to inequality:ten \neq 0
Find the intersection:10 < 0 or ten > 0
Notice the intersection:x < 0 or x > 0
Catechumen inequality to equation:ten^{2} = 0
The exponential term is zero if and only if the base is zero:10 = 0
Convert equation to inequality:ten \neq 0
Find the intersection:x > 0
The domain of the inequality is:10 > 0
Have product of the arguments:\log_{10}{(\dfrac{x}{2} \times \dfrac{20}{x^{two}})} = \log_{ten}{8}
Corresponding arguments are equal, and a new equation is obtained:\dfrac{x}{2} \times \dfrac{twenty}{x^{2}} = 8
Reduce the expression to the lowest term:\dfrac{10}{x} = 8
Multiply both sides of the equation by the common denominator:\dfrac{10 x}{x} = 8 x
Reduce the fractions:x = viii x
Swap the sides:eight x = 10
Split both sides of the equation by the coefficient of variable:x = \dfrac{10}{8}
Cross out the mutual factor:x = \dfrac{5}{four}
Observe the intersection:x = \dfrac{5}{4}
go the result:False
Answer: Imitation

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