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xxTIMURxx [149]
3 years ago
8

A 2 letter password from the letters A, B, C, D, E, and F. The password cannot have the same letter repeated in it. How many suc

h passwords are possible?
Mathematics
2 answers:
nataly862011 [7]3 years ago
7 0
I tryed to write out all of the combinations, but it wouldn't let me.
Each letter has 5 ways to write it and there are 6 letters. Multiply these two numbers.
So, in all there are 30 different combinations.
kolbaska11 [484]3 years ago
6 0
<span>5 ways to select the 1st letter
4 ways to select the 2nd letter
3 ways to select the 3rd letter
2 ways to select the 4th letter

-------------
Total # of ways = 5*4*3*2 = 120 passwords
----------------------
Another way to get the answer 5P4 = 5!/(5-4)!</span>
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7 1/2 times 3 1/4<br><br> Help me
Gre4nikov [31]

= 15/2 ( 13/4

= 195/8

= 24.3


I hope that's help !

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3 years ago
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If 12 less than 4 times a number is 8, the number is 5. Write a different sentence where the unknown number is also 5.
Alex_Xolod [135]
Basicly just plug in some nubers around the  five like 3 + 5 - 10 = - 2 or  3 + unkown number - 10 = -2
3 0
3 years ago
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The axis of symmetry for a function in the form f(x) = x2 + 4x − 5 is x = −2. What are the coordinates of the vertex of the grap
aliya0001 [1]

The coordinates of the vertex of the graph are (-2, -9).

<h3>Further explanation</h3>

The quadratic function is described by the standard equation \boxed{ \ f(x) = ax^2 + bx + c \ }.  The graph of a quadratic function is called a parabola.

We have the quadratic function \boxed{ \ f(x) = x^2 + 4x - 5 \ }.

  • We identify the coefficients a, b, and c. For this equation, \boxed{ \ a = 1, b = 4, and \ c = -5 \ }
  • The axis of symmetry is \boxed{ \ x = h = -\frac{b}{2a} \ }, i.e., \boxed{ \ x = h = -\frac{4}{2(1)} \rightarrow h = -2 \ }. Thus, the statement in the question for the symmetry axis x = -2 is correct.
  • The vertex (or turning point) is \boxed{ \ (h, k) \ }, where \boxed{ \ k = f(h) \ }  or \boxed{ \ k = \frac{b^2 - 4ac}{-4a} \ }
  • The parabola opens upward because a > 0, resulting in a vertex that is a minimum.

Finding the minimum value is as follows:

  • \boxed{ \ k = f (-2) = (-2)^2 + 4(-2) - 5 \rightarrow k = -9 \ }, or
  • \boxed{ \ k = \frac{4^2 - 4(1)(-5)}{-4(1)} = -\frac{36}{4} \rightarrow k = -9 \ }

Therefore, the coordinates of the vertex of the graph are (h, k), i.e., \boxed{\boxed{ \ (-2, -9) \ }}

Other components:

  • The y-intercept of the quadratic function f(x) = x² + 4x - 5 is (0, c), i.e., the point \boxed{ \ (0, -5) \ }.
  • The factorization of f (x) = x² + 4x - 5 becomes f(x) = (x + 5)(x - 1). Then we get the x-intercepts at \boxed{ \ (-5, 0) \ and \ (1, 0) \ }
<h3>Learn more</h3>
  1. Which is the graph of f(x) = (x - 1)(x + 4) brainly.com/question/2334270  
  2. Finding the y-intercept of the quadratic function f(x) = (x – 6)(x – 2) brainly.com/question/1332667
  3. The midpoint brainly.com/question/3269852  

Keywords: the axis of symmetry, for a function, f(x) = x² + 4x − 5, x = −2, which is the graph of f(x) = (x - 1)(x + 4), what, the coordinates of the vertex of the graph, the x-intercept, quadratic function, a standard equation, the y-intercept, parabola, upward, the minimum value

8 0
3 years ago
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HELP HELP HELP A quadratic function models the graph of a parabola. The quadratic functions, y = x2 and y = x2 + 3, are modeled
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Answer:

From x = -2 to x = 0, the average rate of change for both functions is negative

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The quadratic function, y = x2, has an x-intercept at the origin

Step-by-step explanation:

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Answer:

The 16 cases will fit the box as shown.

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2) The horizontal length of each case is 14.2 cm.  Stacked as shown, the 16 cases will fit within the 15 cm depth of the box.

3) The vertical measurement of each case is 19.3 cm.  The 20 cm vertical measurement of the box can accommodate this 19.3 height within 20 cm.

All indications are that the 16 cases will fit comfortably inside the box.

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