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3 years ago

Write a variable expression for each. Tell what the variable represents I NEED HELP!!!

Mathematics

1 answer:

Digiron [165]3 years ago

5 0

1. x - 16
2. x + 5
3. x divided by 48 (I don’t have the division symbol.)

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How can square roots be written so that the radicand has no square factors?

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Answer:

You can do this by dividing the radicand by the square number , and multiplying the radical by the root of that number.

e.g.

$\sqrt{96} \\= \sqrt{16 \times 6}\\= 4\sqrt{6}$

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3 years ago

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3 years ago

9. If J= 12, what is J/3 + 3?

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Answer: the answer is 7.

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3 years ago

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Solve this system of equations- x=2y-8 and 4x+y=13

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3 years ago

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5. Find the discriminant of 15x2 = 4x – 1 and describe

diamong [38]

Answer:

a) The discriminant of the equation = - 44

b)The nature of the roots will be imaginary.

c) $x = \frac{2 +\sqrt{11} i}{15} or, x = \frac{2 - \sqrt{11} i}{15}$

Step-by-step explanation:

Here, the given expression is $15x^{2} = 4x -1$

or, $15x^{2} - 4x + 1 = 0$

Now the discriminant (D) of a quadratic equation $ax^{2} +b x + c = 0$

D = $b^{2} - 4ac = (-4)^{2} - 4(15) (1) = 16 - (60) = -44$

Hence, the discriminant of the equation = - 44

As D< 0, so the roots will be imaginary.

Now,by quadratic formula : $x = \frac{-b \pm \sqrt{b^{2} - 4ac} }{2a}$

So, here $x = \frac{-(-4) \pm \sqrt{D} }{2a} = \frac{4 \pm \sqrt{(-44 )} }{30}$

So, either $x = \frac{4 + \sqrt{(-44 )} }{30} or, x = \frac{4 - \sqrt{(-44 )} }{30}$

or, $x = \frac{2 +\sqrt{11} i}{15} or, x = \frac{2 - \sqrt{11} i}{15}$

8 0

3 years ago