N/n^2-1 over 3n/n^2+8n+7

The license plates on all karts in MarioLand contain three numbers followed by three letters. If you know that the MarioLand num

iogann1982 [59]

Answer:

It can be created 1575 license plated with at least one three-piece palindrome.

Step-by-step explanation:

If a license plates has at least one three-piece palindrome, we have the following cases:

1. The license plate just has a palindrome in the three numbers: The number license plates for this case can be calculated using the rule of multiplication as:

5 * 5 * 1 * 3 * 3 * 2 = 450

1st Number 2nd 3rd 1st Letter 2nd 3rd

For have a palindrome in the numbers, the first and the 3rd number need to be the same. So, we have 5 digits for the first and the 2nd Number and one digit for the 3rd Number.

On the other hand, if the palindrome is just in the numbers, the 3rd letter need to be different from the 1st. So we have 3 options for the 1st and the 2nd letter and 2 options for the 3rd letter.

At the same way, we can calculated the number of license plates for the other cases:

2. The license plate just has a palindrome in the three letters:

5 * 5 * 4 * 3 * 3 * 1 = 900

1st Number 2nd 3rd 1st Letter 2nd 3rd

3. The license plate has a palindrome in the three numbers and in the letters:

5 * 5 * 1 * 3 * 3 * 1 = 225

1st Number 2nd 3rd 1st Letter 2nd 3rd

Then, It can be created 1575 license plates with at least one three-piece palindrome and it is calculated as:

450 + 900 + 225 = 1575

5 0

3 years ago

Slope=9/4, y intercept = -4

Tju [1.3M]

Assuming if you are looking for an equation
I can say that the X-intercept= 16/9
but with an equation it would be 9x/4(-4)

7 0

3 years ago

Read 2 more answers

What is the average rate of change of f over the interval -1 on a separate sheet of paper and upload the work as a photo. Show a

Anarel [89]

Answer:

Average rate of change for the function $f(x)= x^2-x-1$ over the interval -1<x<1 is -1

Step-by-step explanation:

We need to find average rate of change of f over the interval -1 < x < 1

The function given is: $f(x)= x^2-x-1$

The formula used to find average rate of change is:

$Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}$

We have, a = -1 and b = 1

Finding f(b) when b=1

$f(x)=x^2-x-1\\f(1)=(1)^2-(1)-1\\f(1)=1-1-1\\f(1)=-1$

Now, finding f(a), when a= -1

$f(x)=x^2-x-1\\f(-1)=(-1)^2-(-1)-1\\f(1)=1+1-1\\f(-1)=2-1\\f(-1)=1$

Now, putting values and finding average rate of change

$Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}\\Average\:rate\:of\:change=\frac{f(1)-f(-1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-(1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-1}{1+1}\\Average\:rate\:of\:change=\frac{-2}{2}\\Average\:rate\:of\:change=-1$

So, average rate of change for the function $f(x)= x^2-x-1$ over the interval -1<x<1 is -1

4 0

3 years ago

if the circumference of a circle is 52 cm, what is the radius? round to the nearest tenth. PLESE HELP I DONT HAVE THAT MUCH TIME

Step2247 [10]

Answer:

8.3

Step-by-step explanation:

Given, 

Circumference of the circle = 52 cm

Therefore ,

By the problem, 

$= > 2\pi r = 52$

$= > 2 \times 3.14 \times r = 52$

$= > r = \frac{52}{3.14 \times 2}$

=> r = 8.2802547771

Rounded to nearest tenth,

=> r = 8.3 (Ans)

5 0

3 years ago

There are 2 buildings, a and b. a had twice as many visitors as b. 2,950 went to a from b. now a has 39,500 more visitors than b

Sladkaya [172]

There are 100800 visitors there altogether in both the buildings.

Let the number of visitors in building b be x.

Visitors in building a will be = 2 x

Now, 2,950 went to a from b.

Visitors in building a = 2 x + 2950

Visitors in building b = x - 2950

ATQ: now a has 39,500 more visitors than b.

We get the equation as:

x - 2950 + 39500 = 2x + 2950

x + 36550 = 2x + 2950

2x - x = 36550 - 2950

x = 33600

2 x = 67200

Total visitors = x + 2x = 33600 + 67200

Total visitors = 100800

Therefore, there are 100800 visitors there altogether in both the buildings.

Learn more about equation here:

brainly.com/question/1214333

#SPJ4

3 0

2 years ago