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love history [14]
3 years ago
6

Worth 20 points please answer ASAP

Mathematics
1 answer:
Bas_tet [7]3 years ago
5 0
Lier this is worth 10 not 20!btw i know the answer.
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What is the roots of f(x)=-x^2-6x-14
Nutka1998 [239]

Answer:

x=-3\pm i \sqrt{5}

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Standard Form: ax² + bx + c = 0
  • Quadratic Formula: x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

<u>Algebra II</u>

  • Imaginary roots: √-1 = i

Step-by-step explanation:

<u>Step 1: Define function</u>

f(x) = -x² - 6x - 14

<u>Step 2: Set up</u>

  1. Set equation equal to 0:                    -x² - 6x - 14 = 0
  2. Factor out -1:                                       -(x² + 6x + 14) = 0
  3. Divide both sides by -1:                      x² + 6x + 14 = 0

<u>Step 3: Define variables</u>

a = 1

b = 6

c = 14

<u>Step 4: Find roots</u>

  1. Substitute:                              x=\frac{-6\pm\sqrt{6^2-4(1)(14)} }{2(1)}
  2. Exponents:                             x=\frac{-6\pm\sqrt{36-4(1)(14)} }{2(1)}
  3. Multiply:                                  x=\frac{-6\pm\sqrt{36-56} }{2}
  4. Subtract:                                 x=\frac{-6\pm\sqrt{-20} }{2}
  5. Factor:                                    x=\frac{-6\pm\sqrt{-1} \sqrt{20} }{2}
  6. Simplify:                                  x=\frac{-6\pm2i \sqrt{5} }{2}
  7. Factor:                                    x=\frac{2(-3\pm i \sqrt{5} )}{2}
  8. Divide:                                    x=-3\pm i \sqrt{5}
8 0
3 years ago
Help!!!!!!<br> Please and thank you
fenix001 [56]

Answer:

1. A

2. B

3. A

Step-by-step explanation:

Hope this helps!

5 0
3 years ago
Tim is 5 years older than Melissa. The sum of their ages is 21. This system is represented by the equations: t = 5 + m t + m = 2
Triss [41]
Tim is 13 and Melissa is 8
6 0
4 years ago
I agree with the person who was first
Dima020 [189]

Answer:

me tooooo!

Step-by-step explanation:

8 0
3 years ago
How many Y-intercepts can a Quadratic Funtion Can Have ?
netineya [11]
If your quadratic function has x intercepts of 4 and -3, that means that the points are (4, 0) and (-3,0), or the values x has when y=0. Since your quadratic (which represents y) must then equal 0, then your factors of that equation would potentially equal 0 as well. That means that if x=4, then subtract 4 from each side to get x-4=0, and so one factor is (x-4) Similarly your other factor would be (x+3). 

<span>To get your quadratic, FOIL: </span>
<span>(x-4)(x+3)=0 </span>
<span>x^2-x-12=0</span>
4 0
3 years ago
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