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3 years ago

Which of the following inequalities is correct?

Mathematics

2 answers:

Mice21 [21]3 years ago

3 0

Answer:

Step-by-step explanation:

it is option C because a positive number will always be bigger then a negative number

icang [17]3 years ago

3 0

Option C!!! if you look at it, it’s logical

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What numbers fall between 4.7 and 4.8 on a number line

SVEN [57.7K]

Answer:

4.71, 4.72, 4.73, 4.74, 4.75, 4.76,4.77, 4.78, and 4.79

Step-by-step explanation:

all you need to do is move into hundredths and you need to know that there are 10 hundredths between 2 tenths.

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3 years ago

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A lap around Natalie's neighbourhood is 20 kilometres. Natalie ran 2 laps before

Fynjy0 [20]

I would say about 40 kilometers it’s ifs 20 around her neighborhood that 20+20=40 and walking tha rest made the question easier but yea 40

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3 years ago

Four less than twice a number

kondor19780726 [428]

Answer:

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3 years ago

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PLEASE HELP (30 POINTS) Solve the rational equation x/3 = x^2/x + 5 , and check for extraneous solutions.

anygoal [31]

Option C: $x=0$ and $x=\frac{5}{2}$ are the solutions.

Explanation:

The equation is $\frac{x}{3} =\frac{x^{2} }{x+5}$

We shall determine the value of x, by simplifying the equation.

$\begin{aligned} x(x+5) &=3 x^{2} \\ x^{2}+5 x &=3 x^{2} \\ 2 x^{2}-5 x &=0 \\ x(2 x-5) &=0 \end{aligned}$

Thus, $x=0$ and $x=\frac{5}{2}$ are the solutions.

Now, let us check whether the solutions are extraneous solutions.

Let us substitute $x=0$ in the original equation to check whether both sides of the equation are equal.

$\begin{aligned}&\frac{0}{3}=\frac{0^{2}}{0+5}\\&0=\frac{0}{5}\\&0=0\end{aligned}$

Thus, both sides of the equation are equal.

Hence $x=0$ is a true solution.

Now, Let us substitute $x=\frac{5}{2}$ in the original equation to check whether both sides of the equation are equal.

$\begin{aligned}\frac{\left(\frac{5}{2}\right)}{3} &=\frac{\left(\frac{5}{2}\right)^{2}}{\left(\frac{5}{2}\right)+5} \\\frac{5}{6} &=\frac{\left(\frac{25}{4}\right)}{\left(\frac{15}{2}\right)} \\\frac{5}{6} &=\frac{5}{6}\end{aligned}$

Thus, both sides of the equation are equal.

Hence, $x=\frac{5}{2}$ is a true solution.

Thus, solutions are not extraneous.

Hence, Option C is the correct answer.

8 0

3 years ago

Can someone help me with this

Snezhnost [94]

All of them specifically?

6 0

3 years ago