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3 years ago

Which one is bigger 0.375 or 0.3(3)?

Mathematics

2 answers:

Crank3 years ago

7 0

Answer:

0.3(3)

Step-by-step explanation:

0.3(3) = 0.9>0.375 so 0.3(3)

Fofino [41]3 years ago

4 0

Answer:

Look at the tenths place (the first number after the decimal. The first number is a 3 and the other one is 2. 3>2. Therefore, 0.375 is bigger

Step-by-step explanation:

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Graph the line y=kx+1 if it is known that the point M belongs to it: m(1,3)

Novosadov [1.4K]

Answer:

y = 2x +1

Step-by-step explanation:

y=kx+1

Substitute the point into the equation

3 = k(1) + 1

3 = k+1

Subtract 1 from each side

3-1 = k

2 = k

y = 2x +1

The slope is 2 and the y intercept is 1

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Answer:

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Step-by-step explanation:

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2 years ago

Find the measure of an angle between 0º and 360º coterminal with an angle of –110º in standard position

kondor19780726 [428]

<h2>Answer:</h2>

An angle measures how how much you have to rotate one line called <em>initial side</em> so it lies on the top of other line called the <em>terminal side. </em>Angles whose vertex is located at the origin having the initial side on the positive x-axis is said to be in standard position. On the other hand, coterminal angles are angles in standard position having the same terminal side. In this way, for the angle:

$-110^{\circ} \\ \\ Its \ coterminal \ is: \\ \\ \alpha=360^{\circ}-110^{\circ}=\boxed{250^{\circ}}$

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3 years ago

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.

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