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2 years ago

HOW MANY AUTOMOBILE LICENSE PLATES CAN BE MADE IF EACH PLATE

Mathematics

1 answer:

ahrayia [7]2 years ago

3 0

The number of license plates is 11232000

<h3>How to determine the number of license plates?</h3>

The given parameters are:

Characters = 6 i.e. 3 letters and 3 digits

Letters = 3 different letters

Digits = 3 different digits

There are 10 different digits and 26 different letters.

Since each character is different from the other, then we have:

Digits = 10, 9 and 8

Characters = 26, 25 and 24

The number of license plates is then calculated as:

n = 10 * 9 * 8 * 26 * 25 * 24

Evaluate the product

n = 11232000

Hence, the number of license plates is 11232000

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Estimate the square root of 397 between two consecutive whole numbers.

marshall27 [118]

Answer: 19.9248588452

Step-by-step explanation:

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3 years ago

Please help me Estimate 476-269

natima [27]

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3 years ago

Read 2 more answers

C = 200 – 7x + 0.345x2

fenix001 [56]

The way to find the domain and the range is illustrated below.

<h3>How to illustrate the information?</h3>

From the information, c(x) = 200 - 7x + 0.345x². It should be noted that the domain is the set of x-values that are feasible.

The range is the set of possible results for c(x). They are the possible costs. You can derive this from the fact that c(x) is a parabola and you can draw it, for which you can find the vertex of the parabola, the roots, the y-intercept, the shape.

You can substitute some values for x to help you, for example:

x y

0 200

1 200 -7 +0.345 = 193.345

2 200 - 14 + .345 (4) = 187.38

3 200 - 21 + .345(9) = 182.105

4 200 - 28 + .345(16) = 177.52

5 200 - 35 + 0.345(25) = 173.625

6 200 - 42 + 0.345(36) = 170.42

10 200 - 70 + 0.345(100) =164.5

11 200 - 77 + 0.345(121) = 164.745

If the functions do not have real roots, then the costs never decrease to 0. The function starts at c(x) = 200, decreases until the vertex, (x =10, c=164.5) and starts to increase.

Then the range goes from 164.5 to infinity, limited to the solution for x = positive integers.

Learn more about domain on:

brainly.com/question/2264373

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Complete question:

the daily production cost, c, for x units is modeled by the equation: c = 200 – 7x 0.345x² explains how to find the domain and range of c.

4 0

1 year ago

Graph the function -2x+5y=10

loris [4]

An equation of the form ax+by+c=0, where x, y are variable, and a, b, c are numbers, is called a "linear equation"

the reason we call it linear, is that all solutions (x, y) to this equation, when plotted in the x-y axis, form a line.

To draw this line, 2 points are enough, that is 2 solutions (x, y) of the equation.

-------------------------------------------------------------------------------------------------

-2x+5y-10=0 is a linear equation (a=-2, b=5, c=-10)

to find 2 solutions, we set x or y any value we want, and solve for the other

for example:

let x=0,

then

-2x+5y-10=0 becomes 5y-10=0, so y=2

this gives us the solution (0, 2)

another example; set y=0

then -2x+5y-10=0 becomes -2x-10=0; -2x=10 so x=-5

thus another solution is (-5, 0)

Draw these 2 points, and join them with a line, as shown in the figure.