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11Alexandr11 [23.1K]
3 years ago
13

Find the value of x for which the graph of y = 3x² – 10x + 7 achieves its minimum y-value.​

Mathematics
1 answer:
drek231 [11]3 years ago
4 0

Since this is a parabola, you can plug this equation into an online graphing calculator for a visual. But the value of x which the line achieves its minimum y-value would be 1 2/3

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F(x) = x^2. What is g(x)
Alexeev081 [22]

Answer:

g(x) = - x² - 4 ⇒ A

Step-by-step explanation:

Let us revise the reflection and translation of a function

  • If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
  • If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)
  • If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)  
  • If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)  
  • If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k  
  • If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) – k  

f(x) = x² is the blue curve

g(x) is its image is the red curve

∵ g(x) is the image of f(x)

∵ f(x) is opened upward

∵ g(x) is opened downward

→ That means the sign of y-coordinates of all points on the blue

   graph are opposite

∴ f(x) is reflected about the x-axis

∴ Its image is - f(x)

∵ The vertex of f(x) is (0, 0)

∵ The vertex of g(x) = (0, -4)

→ That means the function translated 4 units down

∴ - f(x) is translated 4 units down

∴ Its image is - f(x) - 4

∴ g(x) = - f(x) - 4

∵ f(x) = x²

∴ g(x) = - x² - 4

4 0
3 years ago
What is the answer to this ? PLEASE HELP I HAVE 3 minutes
inn [45]

Answer:

(2, 4)

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

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

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

y = 2x

x = -y + 6

<u>Step 2: Solve for </u><em><u>y</u></em>

<em>Substitution</em>

  1. Substitute in <em>x</em>:                     y = 2(-y + 6)
  2. Distribute 2:                         y = -2y + 12
  3. Isolate <em>y</em> terms:                    3y = 12
  4. Isolate <em>y</em>:                               y = 4

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Define equation:                    x = -y + 6
  2. Substitute in <em>y</em>:                       x = -4 + 6
  3. Add:                                        x = 2
3 0
3 years ago
You cut a styrofoam ball in half for a project. Find the surface area of each half of the styrofoam ball.
uranmaximum [27]

Answer:

The question needs to state the radius of the styrofoam ball.

4 0
3 years ago
Use the decimals 2.47, 9.57, and 7.1 to write two different addition facts and two different subtraction facts
kaheart [24]
2.47+7.1=9.57
7.1+2.47=9.57
9.57-2.47=7.1
9.57-7.1=2.47
3 0
3 years ago
What is the true solution to 3 In 2+In 8 = 2 In(4x)?<br> O x=1<br> O x=2<br> O x=4<br> Ox=8
Novosadov [1.4K]

Answer:

x=1

Step-by-step explanation:

if x don't have a number next to it it =1

8 0
3 years ago
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