3 years ago

Select the value of x that makes the equation

Mathematics

1 answer:

SOVA2 [1]3 years ago

7 0

Answer:

-60

Step-by-step explanation:

-3(x + 10) + 2x = 30 becomes -3x - 30 + 2x = 30 after having performed the multiplication. Combining like terms, we get -x = 60, so that x must be -60 (Answer 4)

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Elena has $240 in the bank. She withdraws $15 each week to pay for her piano lessons. How many lessons can she afford with her s

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3 years ago

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

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3 years ago

Find the equation of the line that is perpendicular to y = - 1/3 x + 2 and passes though the point (-5,2)

elena55 [62]

Answer:

y - 2 = 3(x + 5)

Step-by-step explanation:

The given equation has slope -1/3. Any line perpendicular to the given line has a slope which is the negative reciprocal of -1/3, which comes out to +3.

Use the point-slope formula y - k = m(x - h):

y - 2 = 3(x + 5)

6 0

3 years ago