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fgiga [73]
1 year ago
8

Sketch the quadratic function f(x) = -2x^2 + 4x + 6. Which key feature of the graph is not correct?A)maximum (1, 8)B)y-intercept

(0, 6)C)x-intercept (3, 0)D)x-intercept (-2, 0)
Mathematics
1 answer:
professor190 [17]1 year ago
7 0

The Solution:

A

Given the quadratic equation below:

f(x)=-2x^2+4x+6

We are asked to identify the option that is incorrect.

Below is the graph of the given equation:

From the graph above, we have that x-intercept (-2,0) is incorrect.

Therefore, the correct answer is [option D]

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I need help REALLY FAST what is the distance between the points (-1, -3 3/4) and (-1, 4 1/2) ?
kodGreya [7K]

Answer:

8 1/4

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<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)

<u>Algebra II</u>

  • Distance Formula: \displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Point (-1, -3.75)

Point (-1, 4.5)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>

  1. Substitute in points [Distance Formula]:                                                         \displaystyle d = \sqrt{(-1--1)^2+(4.5--3.75)^2}
  2. [√Radical] (Parenthesis) Subtract:                                                                   \displaystyle d = \sqrt{(0)^2+(8.25)^2}
  3. [√Radical] Evaluate exponents:                                                                       \displaystyle d = \sqrt{0+68.0625}
  4. [√Radical] Add:                                                                                                 \displaystyle d = \sqrt{68.0625}
  5. [√Radical] Evaluate:                                                                                          \displaystyle d = 8.25
4 0
3 years ago
Y = x + 8 <br>4x – 2y = -12​
Paha777 [63]

Answer:

x = 14

y = 22

Step-by-step explanation:

y = x + 8

4x - 2y = -12

Solve

_____________

Since we see that the first equation has y alone, we can substitute it into the values of y in the second equation.

4x - 2(x + 8) = -12

Distribute :

4x - (2(x) + 2(8)) = -12

4x - 2x +16 = -12

Combine like terms :

2x + 16 = -12

Subtract 16 from both sides :

2x = -28

Divide 2 from both sides to get x alone :

x = 14

Now that we know what x is, substitute it in the first equation to get y :

y = (14) + 8

y = 22

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