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Temka [501]
2 years ago
14

What is the probability of rolling a 6-sided die and getting a 2 or an odd

Mathematics
1 answer:
mars1129 [50]2 years ago
4 0

Answer:

I think D

Step-by-step explanation:

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Detmermine the best method to solve the following equation, then solve the equation. (3x-5)^2=-125
liq [111]

For the given equation;

(3x-5)^2=-125

We shall begin by expanding the parenthesis on the left side, after which we would combine all terms on and move all of them to the left side, which shall yield a quadratic equation. Then we shall solve.

Let us begin by expanding the parenthesis;

\begin{gathered} (3x-5)^2\Rightarrow(3x-5)(3x-5) \\ (3x-5)(3x-5)=9x^2-15x-15x+25 \\ (3x-5)^2=9x^2-30x+25 \end{gathered}

Now that we have expanded the left side of the equation, we would have;

\begin{gathered} 9x^2-30x+25=-125 \\ \text{Add 125 to both sides and we'll have;} \\ 9x^2-30x+25+125=-125+125 \\ 9x^2-30x+150=0 \end{gathered}

We shall now solve the resulting quadratic equation using the quadratic formula as follows;

\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ \text{Where;} \\ a=9,b=-30,c=150 \\ x=\frac{-(-30)\pm\sqrt[]{(-30)^2-4(9)(150)}}{2(9)} \\ x=\frac{30\pm\sqrt[]{900-5400}}{18} \\ x=\frac{30\pm\sqrt[]{-4500}}{18} \\ x=\frac{30\pm\sqrt[]{-900\times5}}{18} \\ x=\frac{30\pm\sqrt[]{-900}\times\sqrt[]{5}}{18} \\ x=\frac{30\pm30i\sqrt[]{5}}{18} \\ \text{Therefore;} \\ x=\frac{30+30i\sqrt[]{5}}{18},x=\frac{30-30i\sqrt[]{5}}{18} \\ \text{Divide all through by 6, and we'll have;} \\ x=\frac{5+5i\sqrt[]{5}}{3},x=\frac{5-5i\sqrt[]{5}}{3} \end{gathered}

ANSWER:

x=\frac{5+5i\sqrt[]{5}}{3},x=\frac{5-5i\sqrt[]{5}}{3}

3 0
10 months ago
Is (-6,7) a solution to this system of inequalities? <br> Y&gt; -x + 1<br> Y &gt; 1/3x -9
Firlakuza [10]
I got 6 and -7 when I did this problem, maybe you made a mistake or maybe I did. But you are on the right track
4 0
2 years ago
Read 2 more answers
What is the answer to <br> -100%+0.58= ?
3241004551 [841]

Answer:

-0.42

Step-by-step explanation:

7 0
3 years ago
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PLEASE HELP!!!! ILL GIVE YOU 10 POINTS IF YOUR ANSWER IS CORRECT!!!!
Cerrena [4.2K]

Answer:

x=-16

Step-by-step explanation:

y=-20

y=x-4

-20=x-4

x=-16

7 0
3 years ago
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You drop a ping pong ball into a measuring cup. The water started at 200 mL but after you drop the ping pong ball the water rise
sveta [45]

Answer:

200

Step-by-step explanation:

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2 years ago
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