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shtirl [24]
3 years ago
6

Which lists the even numbers between 1 and 19 in set notation? A.{2, 4, 6, 8, 10, 14, 16, 18} B.{0, 2, 4, 6, 8, 10, 12, 14, 16,

18} C.{1, 3, 5, 7, 9, 11, 13, 15, 17, 19} D.{2, 4, 6, 8, 10, 12, 14, 16, 18}
Mathematics
1 answer:
harkovskaia [24]3 years ago
6 0
D.
This is the only list that contains all even numbers that lie between the number 1 and the number 19. 
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False ………………………………………..
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2 years ago
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Use the quadratic formula to solve the equation. <br> x ^2 – 7 x –6 = 0<br> (Show work)
Vika [28.1K]

Given a quadratic equation

ax^2+bx+c=0

the quadratic formula states that the solutions are

x_{1,2}=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

Plug your values to get

x_{1,2}=\dfrac{-(-7)\pm\sqrt{(-7)^2-4\cdot 1 \cdot (-6)}}{2\cdot 1}

Which evaluates to

\dfrac{-(-7)\pm\sqrt{(-7)^2-4\cdot 1 \cdot (-6)}}{2\cdot 1} = \dfrac{7\pm\sqrt{73}}{2}

So, the two solutions are

x_1 = \dfrac{7+\sqrt{73}}{2},\quad x_2 = \dfrac{7-\sqrt{73}}{2}

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3 years ago
NO LINKS OR ASSESSMENT!!!
mote1985 [20]

Domain = set of input value

Range = set of output values

<h3>#1</h3>
  • Domain: -2 < x ≤ 2 or (-2, 2]
  • Range:    -4 < y ≤ 4 or (-4, 4]
<h3>#2</h3>
  • Domain: -5 ≤ x ≤ 1 or [-5, 1]
  • Range:    -1 ≤ y ≤ 5 or [-1, 5]
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3 years ago
Simplify seven square root of three end root minus four square root of six end root plus square root of forty eight end root min
Cloud [144]

7\sqrt{3}- 4\sqrt{6} + \sqrt{48} - \sqrt{54} simplified as 11\sqrt{3}- 7\sqrt{6} or 1.909 .

<u>Step-by-step explanation:</u>

We need to Simplify seven square root of three end root minus four square root of six end root plus square root of forty eight end root minus square root of fifty four. Which is equivalent to 7\sqrt{3}- 4\sqrt{6} + \sqrt{48} - \sqrt{54} :

7\sqrt{3}- 4\sqrt{6} + \sqrt{48} - \sqrt{54}

⇒ 7\sqrt{3}- 4\sqrt{6} + \sqrt{48} - \sqrt{44}

⇒ 7\sqrt{3}- 4\sqrt{6} + \sqrt{16(3)} - \sqrt{9(6)}

⇒ 7\sqrt{3}- 4\sqrt{6} + 4\sqrt{(3)} - 3\sqrt{(6)}

⇒ 11\sqrt{3}- 4\sqrt{6}- 3\sqrt{(6)}

⇒ 11\sqrt{3}- 7\sqrt{6}

\sqrt{3} = 1.732 , \sqrt{6} = 2.449

⇒ 11(1.723)- 7(2.449)

⇒ 1.909

Therefore, 7\sqrt{3}- 4\sqrt{6} + \sqrt{48} - \sqrt{54} simplified as 11\sqrt{3}- 7\sqrt{6} or 1.909 .

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