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TiliK225 [7]
3 years ago
15

How many different 5-digit pins are there where none of the digits are repeated?

Mathematics
1 answer:
vazorg [7]3 years ago
7 0
<span>With no digit being repeated: 10*9*8*7*6= 30,240</span>
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Does the function g(x) = -2x2 + 10x + 2 have a minimum or a maximum? Identify its value.<br> +
Hitman42 [59]

Answer:

(5/2, 29/2), and this represents a maximum

Step-by-step explanation:

g(x) = -2x^2 + 10x + 2 is a quadratic function with coefficients {-2, 10, 2}.

The formula for the axis of symmetry (which passes through the vertex) is

x = -b/ [2a].  Here, a = -2; b = 10.  Therefore, the axis of symmetry is

x = -10/ [2(-2)] = -10/(-4) = 5/2

Evaluate the function g(x) = -2x^2 + 10x + 2 at x = 5/2 to determine the y-coordinate of the vertex:

g(5/2) = -2(5/2)^2 + 10(5/2) + 2, or

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g(5/2) = -25/2 + 27, or

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The vertex is thus (5/2, 29/2), and this represents a maximum, because the coefficient of the x^2 term is negative (the curve opens downward).

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3 years ago
Mei likes to make desserts for bake sales. Last month, she made 2 batches of brownies and 3 batches of cookies, which called for
tino4ka555 [31]

Answer: she uses 2 eggs for one batch of brownies and 4 eggs for one batch of cookies.

Step-by-step explanation:

Let x represent the number of eggs that she uses for one batch of brownies.

Let y represent the number of eggs that she uses for one batch of cookies.

Last month, she made 2 batches of brownies and 3 batches of cookies. This means that

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Multiplying equation 1 by 1 and equation 2 by 2, it becomes

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y = 4

Substituting y = 4 into equation 2, it becomes

x + 4 = 6

x = 6 - 4 = 2

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Division was used in the first example.
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Ok




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