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3 years ago

What is 2.318 repeating as a mixed number?

1 answer:

ioda3 years ago

4 0

The idea being, we first, move the repeating part to the left of the decimal point, by simply multiplying it by a power of 10, in this case, we need to move 318, so we need then 1000, 3 decimals, 3 zeros.

and we'll make the expression a variable, so let's do so first,

$\bf \boxed{x=2.318318\overline{318}}\\\\
-------------------------------\\\\
\begin{array}{llll}
1000\cdot x&=&2318.318\overline{318}\\
&&2316+2.318318\overline{318}\\
&&2316+x
\end{array}\implies 1000x=2316+x
\\\\\\
999x=2316\implies x=\cfrac{2316}{999}\implies x=\cfrac{772}{333}\implies x=2\frac{106}{333}$

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What is the value of 3x^2 + 5x + 25, when x = 3 (3x^2 means 3x squared)

pentagon [3]

I got 67 but I can guarantee it’s right

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2 years ago

PLEEEEEEEEASE HELP! How the heck do i figure this out!!!? Find m

Fiesta28 [93]

Here is how you find the answer.
Do remember that the term Bisect means to cut it in half.
So here it goes.
5x = 3x + 10
5x - 3x = 10
2x = 10
x = 5
Then, substitute the values, so 5*5 or 3*5+10
Then, the answer for each smaller angle is 25.
Remember bisect? so 25 x 2 so the final answer is 50.
Hope this is the answer that you are looking for. Thanks for posting your question!

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3 years ago

Which inequality is shown in this graph?

Aneli [31]

Answer:

(A). $y\leq -3x+3$

Step-by-step explanation:

The equation of any straight line; a linear equation, can be interpreted as $y=mx+b$ , where 'm' is the slope of the line, 'b', is the y-intercept, and the values of 'x' and 'y' are simply coordinates!

Let's find the slope of the straight line, and that can be done in various ways. Since they gave us two points, I would use the following formula to find slope: $m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

Let's assign each coordinate(s) to correspond to the formula (It doesn't matter what order, as long as you follow the rule that you've set up).

$(x_{1},y_{1}), (x_{2}, y_{2})$ So now that know this, we can just plug in the values that we know, which we already know everything.

$(0,3) (2,-3)$

$m=\frac{-3-3}{2-0}$ → This then gives us; $m=-3$ , which means the slope is -3! Now we have one part of the equation. This means that we can easily eliminate options B and D since they give a slope of positive three, which is false.

Now, let's move onto the y-intercept. How do we solve that? The y-intercept is generally known as a point that crosses the y-axis. This means that the x value is always going to be zero. This means that we know the point on the graph is: $(0,y)$ . So all we have to do is use that information, and look at the graph! It looks like there is a point that does an x-value of zero.

We can see that the point we are looking at is; $(0,3)$ , and the y-value is only what we are looking for. So now, we know that several components of the graph. We know so far that the slope is -3 and the line crosses the y-axis at (0,3), now we move on to determine the inequality part of the graph.

There are rules that determine how a graph is shaded—and let's figure that out.

Shading above the line is represented when 'y' is greater than the inequality itself.

Shading below the line is represented when 'y' is less than the inequality.

The shading occurs below the line, right? That means y is less than the inequality, and since the line is solid, the line can also equal the inequality. Now; with all of this to mind, y is less than or equal to -3x +3 is written or known as; $y\leq -3x+3$ , which means the answer is A.

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alexandr402 [8]

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