2-1 3+2- 9 1 * 3| 44 (+1)(0) (98 9( 2)
1 answer:
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<u>Answer:</u>
The probability of rolling an even number and then an odd number is Option C is correct
<u>Solution:</u>
Given, You roll a six-sided die twice.
We have to find what is the probability of rolling an even number and then an odd number?
We know that, rolling single die two times is equivalent to two dice rolling at a time.
So, now, total possible outcomes = 6 x 6 = 36
And, number of favourable outcomes = 3 even on 1st die x 3 odd on 2nd die = 3 x 3 = 9
Then, probability =
Hence, the probability of given condition is and option c is correct.
Answer:
<em>1. f(x)=−(x−3)(x+1) </em>
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<em>By multiplying the factors, the general form is f(x)= -x²+2x+3.</em>
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<em>Use the formula to find the vertex = (-b/2a, f(-b/2a)) , here in the above equation a=-1(As, a<0 the parabola is open downward), b=2. by putting the values.</em>
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<em>-b/2a = -2/2(-1) = 1</em>
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<em>f(-b/2a)= f(1)=-(1)²+2(1)+3= 4</em>
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<em>So, </em><em>Vertex = (1, 4)</em>
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<em>Now, find y- intercept put x=0 in the above equation. f(0)= 0+0+3, we get point</em><em> (0, 3).</em>
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<em>Now find x-intercept put y=0 in the above equation. 0= -x²+2x+3.</em>
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<em>-x²+2x+3=0 the factor form is already given in the question so, ⇒-(x-3)(x+1)=0 ⇒</em><em>x=3 , x=-1</em>
From vertex, y-intercept and x-intercept you can easily plot the graph of given parabolic equation. The graph is attached below.
