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3 years ago

Wich function is described by the value in the table

Mathematics

1 answer:

kolbaska11 [484]3 years ago

3 0

The table isn’t shown so I cant tell

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Which property is used in the following expression ? 3 (6 + 5) = 18 + 15

cestrela7 [59]

Distributive Property.

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3 years ago

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Use the discriminant to predict the nature of the solutions to the equation 4x-3x²=10. Then, solve the equation.

AleksandrR [38]

Answer:

Two imaginary solutions:

x₁= $\frac{2}{3} -\frac{1}{3} i\sqrt{26}$

x₂ = $\frac{2}{3} +\frac{1}{3} i\sqrt{26}$

Step-by-step explanation:

When we are given a quadratic equation of the form ax² +bx + c = 0, the discriminant is given by the formula b² - 4ac.

The discriminant gives us information on how the solutions of the equations will be.

If the discriminant is zero, the equation will have only one solution and it will be real
If the discriminant is greater than zero, then the equation will have two solutions and they both will be real.
If the discriminant is less than zero, then the equation will have two imaginary solutions (in the complex numbers)

So now we will work with the equation given: 4x - 3x² = 10

First we will order the terms to make it look like a quadratic equation ax²+bx + c = 0

So:

4x - 3x² = 10

-3x² + 4x - 10 = 0 will be our equation

with this information we have that a = -3 b = 4 c = -10

And we will find the discriminant: $b^{2} -4ac = 4^{2} -4(-3)(-10) = 16-120=-104$

Therefore our discriminant is less than zero and we know that our equation will have two solutions in the complex numbers.

To proceed to solve the equation we will use the general formula

x₁= (-b+√b²-4ac)/2a

so x₁ = $\frac{-4+\sqrt{-104} }{2(-3)} \\\frac{-4+\sqrt{-104} }{-6}\\\frac{-4+2\sqrt{-26} }{-6} \\\frac{-4+2i\sqrt{26} }{-6} \\\frac{2}{3} -\frac{1}{3} i\sqrt{26}$

The second solution x₂ = (-b-√b²-4ac)/2a

so x₂= $\frac{-4-\sqrt{-104} }{2(-3)} \\\frac{-4-\sqrt{-104} }{-6}\\\frac{-4-2\sqrt{-26} }{-6} \\\frac{-4-2i\sqrt{26} }{-6} \\\frac{2}{3} +\frac{1}{3} i\sqrt{26}$

These are our two solutions in the imaginary numbers.

7 0

3 years ago

54 is the product of victors age and 3

VMariaS [17]

Answer:

Step-by-step explanation:

divide 54 by 3 to get his age

54÷3=18

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3 years ago

I have two names, i can make a good tiling pattern. I am symmetrical in 2 ways, all my corners are the same size and 2 pairs of

garri49 [273]

Rectangle.

A rectangle can also be called a quadrilateral, the two length sides are the same and the two height sides are the same. All the angles are 90°, and tiling patterns need to be something that tessellates, and rectangles tessellate.

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3 years ago

3 – (–3) + 7 – 4 =

Zanzabum

Answer:

Step-by-step explanation:

3–(–3)+7–4=

=3+3+7-4

=6+7-4

=13-4

I hope this helps!

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3 years ago

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Wich function is described by the value in the table​

Wich function is described by the value in the table