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MAVERICK [17]
3 years ago
14

The solutions to a certain quadratic equation are x = 4 and x = -3. Write the equation in standard form below.

Mathematics
1 answer:
Kamila [148]3 years ago
4 0

Answer:

x2 - x - 12 = 0

Step-by-step explanation:

(x - 4) (x + 3) = 0

x(x + 3) -4(x + 3) = 0

x2 + 3x -4x - 12 = 0

x2 -x -12 = 0

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ahrayia [7]
Single interest uses an arithmetic formula where as compound interest uses a geometric formula
8 0
3 years ago
Given ​ f(x)=x^2−2x−5​. <br><br> Enter the quadratic function in vertex form.
FrozenT [24]

Answer:

f(x) = (x-1)^2-6

Step-by-step explanation:

Rewrite the quadratic using the method of completing the square:

x^2-2x-5=(x^2-2x+1)-1-5=(x-1)^2-6\\f(x) = (x-1)^2-6

From this form it is immediately clear that the vertex of the parabola is at x=1 and its y-intercept at -6.

8 0
3 years ago
In an election, 471 people voted. Candidate B received 2/3 of the votes. How many votes did Candidate B received?
Lunna [17]

Its 314 because 2/3 times 471

6 0
3 years ago
F(x)=3x-3<br><br>g(x) 3x^3+5<br>Find F(-3) and g(-2)
astra-53 [7]

Answer:

f(-3) = -12

g(-2) = -19

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Functions
  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

f(x) = 3x - 3

g(x) = 3x³ + 5

f(-3) is <em>x</em> = -3 for function f(x)

g(-2) is <em>x</em> = -2 for function g(x)

<u>Step 2: Evaluate</u>

f(-3)

  1. Substitute in <em>x</em> [Function f(x)]:                                                                           f(-3) = 3(-3) - 3
  2. Multiply:                                                                                                             f(-3) = -9 - 3
  3. Subtract:                                                                                                            f(-3) = -12

g(-2)

  1. Substitute in <em>x</em> [Function g(x)]:                                                                         g(-2) = 3(-2)³ + 5
  2. Exponents:                                                                                                        g(-2) = 3(-8) + 5
  3. Multiply:                                                                                                            g(-2) = -24 + 5
  4. Add:                                                                                                                   g(-2) = -19
4 0
3 years ago
Read 2 more answers
Which expression is equivalent to 5+5t+3t+?
FrozenT [24]

Answer:

10t+3

Step-by-step explanation:

4 0
2 years ago
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