Write the quadratic equation whose roots are 3 and 1, and whose leading coefficient is 1

Mathematics

1 answer:

Serhud [2]2 years ago

6 0

Answer:

x² - 4x + 3 = 0

Step-by-step explanation:

given roots x = a and x = b then the corresponding factors are

(x - a) and (x - b)

the equation is then the product of these factors , that is

(x - a)(x - b) = 0

given

roots x = 3 and x = 1 , then factors are (x - 3) and (x - 1) , then

(x - 3)(x - 1) = 0 ← expand factors using FOIL

x² - 4x + 3 = 0

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there are 4 coins. you get a dollar for every head. all four coins are flipped. what is the outcome? what about if you can choos

weqwewe [10]

The outcome for the flip is 2.

Probability:

Probability refer the possibility of the event required.

The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Given,

There are 4 coins.

You get a dollar for every head. all four coins are flipped.

To find the outcome of the flips.

The possible outcomes from the initial flip are:

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This gives an expected return of

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So, the outcome is 2.

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maxonik [38]

The answer you are looking for is 4

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3 years ago

Simplify:$$\sqrt{2\sqrt{8^2+15^2}+\sqrt{9^2+40^2}}$$

bagirrra123 [75]

Answer:

$5\sqrt{3}$

Step-by-step explanation:

$\sqrt{2\sqrt{8^2+15^2}+\sqrt{9^2+40^2}}=?\\\\1)\sqrt{8^2+15^2}=\sqrt{289}=17\\2)\sqrt{9^2+40^2}=\sqrt{1681}=41\\3)2\times17=34\\4)\sqrt{34+41}=5\sqrt{3}$