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Solnce55 [7]
3 years ago
14

Standard automobile license plates in a country display 2 digits, followed by 2 letters, followed by 3 digits. How many differen

t standard plates are possible in this system? (Assume repetition of letters and digits is allowed.)
Mathematics
1 answer:
fomenos3 years ago
3 0

Answer:

There are 1,892,800,000 different standard plates that are possible in this system

Step-by-step explanation:

The plates follow the following format:

D - D - L - L - L - D - D - D

For each digit there are 10 possible outcomes, and for each letter there are 26 possible outcomes.

So, there are

10*10*26*26*28*10*10*10 = 1,892,800,000

different standard plates that are possible in this system

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−2x=x2−6 Rewrite the equation by completing the square.
V125BC [204]

Answer:

(x + 1)² = 7

Step-by-step explanation:

Given:

-2x = x² - 6

We'll start by rearranging it to solve for zero:

x² + 2x - 6 = 0

The first term is already a perfect square so that's fine.  Normally, if that term had a non-square coefficient, you would need to multiply all terms a value that would change that constant to a perfect square.

Because it's already square (1), we can simply move to the next step, separating the -6 into a value that can be doubled to give us the 2, the coefficient of the second term.  That value will of course be 1, giving us:

x² + 2x + 1 - 1 - 6 = 0

Now can group our perfect square on the left and our constants on the right:

x² + 2x + 1 - 7= 0

x² + 2x + 1 = 7

(x + 1)² = 7

To check our answer, we can solve for x:

x + 1 = ± √7

x = -1 ± √7

x ≈ 1.65, -3.65

Let's try one of those in the original equation:

-2x = x² - 6

-2(1.65) = 1.65² - 6

- 3.3 = 2.72 - 6

-3.3 = -3.28

Good.  Given our rounding that difference of 2/100 is acceptable, so the answer is correct.

6 0
3 years ago
Help bro pls broooooo
Debora [2.8K]

Answer:

773 and 869 and 703 on any day

8 0
2 years ago
Can someone help me pleaseee :)<br><br> u have to make the questions become y = mx + b
Leona [35]

Answer:

3. 8y= -7x -12

4. -3y= 4x -12

5. 7y= -2x +4

Do you want me to do the rest?

did you got it??

The rest are:

6. -3y =6x +12

7. -10y= 5x+20

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3 years ago
Select the correct descriptions for each circle part<br> B<br> с<br> A<br> F<br> E<br> H Н<br> G
Olin [163]

Answer:

i believe that the answer is G

Step-by-step explanation:

hope this helps <3

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3 years ago
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elena-14-01-66 [18.8K]
The answer to the question

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3 years ago
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