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Anarel [89]
4 years ago
7

How many three digit numbers can be made from the digits 1,\ldots,9 if repetitions of digits are not allowed?

Mathematics
1 answer:
fredd [130]4 years ago
3 0
9 values for each digit, order matters: 123 is different than 321, and no repetion

9*8*7 = 504

Look at a simpler example, with 1, 2, 3:

123
132
213
231
312
321

6 numbers

3*2*1 = 6
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Hey can you please help me posted picture of question
Zinaida [17]
The inverse functions have a property that the composition of two inverse functions always results is x. 

From the given options, only the pair given in option B result in the composition equal to x.

F(x)= \frac{12}{x}-18 \\  \\ 
G(x)= \frac{12}{x+18} \\  \\ 
F(G(x))= \frac{12}{ \frac{12}{x+18} }-18 \\  \\ 
F(G(x))= \frac{12(x+18)}{12}-18 \\  \\ 
F(G(x))=x+18-18=x

This proves, F(x) and G(x) are inverse of each other.

So the answer to this question is Option B
7 0
3 years ago
Please help me!!!!!!!!
igomit [66]

Answer:

the going to be answer A

Step-by-step explanation:

because the rhombus is moved down 2 and over 6 and was dilated by 2

6 0
3 years ago
4. If f(x) = |2x - 4 find f(-7)<br> a.-18<br> b. 18<br> d. 10
bezimeni [28]

Answer:

Answer is a

Step-by-step explanation:

4 0
3 years ago
Which of these polynomial equations is of least degree and has -1, 2, and 4 as three of its roots?
kvasek [131]

Answer:

x^3 - 5 x^2 + 2 x + 8 = 0

Step-by-step explanation:

Solve for x over the real numbers:

x^3 - 5 x^2 + 2 x + 8 = 0

The left hand side factors into a product with three terms:

(x - 4) (x - 2) (x + 1) = 0

Split into three equations:

x - 4 = 0 or x - 2 = 0 or x + 1 = 0

Add 4 to both sides:

x = 4 or x - 2 = 0 or x + 1 = 0

Add 2 to both sides:

x = 4 or x = 2 or x + 1 = 0

Subtract 1 from both sides:

Answer: x = 4 or x = 2 or x = -1

6 0
3 years ago
Read 2 more answers
If sales tax is 6% and you buy a shirt for $25 how much do you owe?
Leona [35]

Answer:

26.50

Step-by-step explanation:

First we need to calculate the sales tax

25 * 6%

Changing to decimal from

25 * .06

1.50

Then we add the tax to the cost of the shirt

25+1.50

26.50

We owe 26.50

7 0
3 years ago
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