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stepan [7]
2 years ago
5

Please help emergency

Mathematics
1 answer:
Firdavs [7]2 years ago
3 0

Step-by-step explanation:

This is a probability related problem.

  Probability is the likelihood of an event to occur;

    Pr = \frac{number of possible outcomes}{Total sample space}

The sample space here is from 1 to 25 which is 25

A.

Pr of a card marked 8; we have just 1 possible outcome;

       Pr(8)  = \frac{1}{25}

B.

Pr  of drawing a card that is a multiple of 5;

    Multiples of 5 = 5, 10, 15 and 25

     Pr (multiples of 5) = \frac{4}{25}

C.

Pr of drawing a card with odd numbers:

          Number of odd numbers between 1 and 25  = 13

     Pr(odd numbers) = \frac{13}{25}

D.

Pr of drawing a number with square number on it;

        Square numbers between 1 and 25  = 1, 4, 9, 16 and 25

  Pr(square numbers) = \frac{5}{25}   = \frac{1}{5}

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Answer:

Step-by-step explanation:

The domain of all polynomials is all real numbers.  To find the range, let's solve that quadratic for its vertex.  We will do this by completing the square.  To begin, set the quadratic equal to 0 and then move the -10 over by addition. The first rule is that the leading coefficient has to be a 1; ours is a 2 so we factor it out.  That gives us:

2(x^2-2x)=10

The second rule is to take half the linear term, square it, and add it to both sides.  Our linear term is 2 (from the -2x).  Half of 2 is 1, and 1 squared is 1.  So we add 1 into the parenthesis on the left.  BUT we cannot ignore the 2 sitting out front of the parenthesis.  It is a multiplier.  That means that we didn't just add in a 1, we added in a 2 * 1 = 2.  So we add 2 to the right as well, giving us now:

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The reason we complete the square (other than as a means of factoring) is to get a quadratic into vertex form.  Completing the square gives us a perfect square binomial on the left.

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2(x-1)^2=12

Now we move the 12 back over by subtracting and set the quadratic back to equal y:

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3 years ago
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The red line is a reflection across the x-axis, so the correct option is d.

<h3>How to write the equation for the red line?</h3>

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This reflection only changes the sign of the right side, then we get that the function of the red line is:

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If we divide both sides by -1, we get:

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Like in option d, so that is the correct one.

If you want to learn more about reflections:

brainly.com/question/4289712

#SPJ1

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