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3 years ago

Factor the following equations to find the zeros of the equation.

Mathematics

1 answer:

olasank [31]3 years ago

8 0

Answer:

1) 4, -5 and 3 are the ZEROES of the expression j = (p - 4)(p + 5)(p - 3)

Step-by-step explanation:

Here, the given phrase is:

j = (p - 4)(p + 5)(p - 3)

Now, here j is Expressed as the product of roots.

(p - 4),(p + 5) and (p - 3) are 3 given roots of the polynomial j.

Now, if (x-a) is the ROOT of the polynomial, then x = a is the ZERO of the POLYNOMIAL.

In this given expression:

(p-4) is the ROOT⇒ 4 is the ZERO of the polynomial j.

(p+5) is the ROOT⇒ (-5) is the ZERO of the polynomial j.

(p-3) is the ROOT⇒ 3 is the ZERO of the polynomial j.

Hence, here 4, -5 and 3 are the ZEROES of the expression

j = (p - 4)(p + 5)(p - 3)

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As we know that the area of the shaded region is the sum of the area of triangle A and the area of triangle B. Therefore, the area of the blue shaded region is,

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The area of the square can be written as,

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Now, the probability that a point is chosen at random in the square is in the blue region can be written as,

$\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\$

$\rm Probability = \dfrac{\text{Area of blue region}}{\text{Area of square}}\\\\Probability = \dfrac{48}{60} = 0.8$

Hence, the probability that a point is chosen at random in the square is in the blue region is 0.8.

Learn more about Probability:

brainly.com/question/795909

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2 years ago

Solve the simultaneous equations:<br><br> 3a-2b=14 <br> 12a+9b=39

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Use elimination
Multiply first equation by 4
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12a + 9b = 39
Subtract both
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b = -1
Plug in -1 for b
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3a = 12, a = 4
Final answer: a = 4, b = -1

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