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Sidana [21]
3 years ago
8

How many even 3 digit integers greater than 700 with distinct non zero digits are there?

Mathematics
1 answer:
vredina [299]3 years ago
8 0
For numbers 710-720 there are 4 integers  (712,714,716 and 718)
       numbers 720-730 there are 3 (724,726,728)

for 730-740 ,  750-760,  there are 4 in each case.
     740-750 , 760-770, 780-790   there are  3 in each case
and for 790-800 there are  4.  None for 770-780.

so for numbers  700 - 800 we have a total of  28 integers which fit the requirements.

The number for integers 800 to 900 and 900 to 999 will also be 28 in each case. 

Answer is  3*28 = 84 answer.
             
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8 0
3 years ago
Log((4x)/(8))=log(x-5)
creativ13 [48]

The given logarithmic equation solved for x is x = 10

<h3>Solving Logarithmic equations</h3>

From the question, we are to solve the given logarithmic equation.

The given logarithmic equation is

log((4x)/(8)) = log(x - 5)

To solve the given logarithmic equation, we will determine the value of the unknown variable.

The unknown variable in the equation is x.

From one of the rules of logarithm, we have that

If logₓY = logₓZ

Then,

Y = Z

Thus,

From log((4x)/(8)) = log(x - 5)

We can write that

(4x)/(8) = (x - 5)

Now, solve for x

(4x)/(8) = (x - 5)

Multiply both sides by 8

8 × (4x)/(8) = (x - 5) × 8

4x = 8x - 40

Subtract 8x from both sides of the equation

4x - 8x = 8x - 8x - 40

-4x = -40

Multiply both sides by -1

-1 × -4x = -1 × -40

4x =40

Divide both sides by 4

4x/4 = 40/4

x = 10

Hence, the solution of the equation is x = 10

Learn more on Solving logarithmic equation here: brainly.com/question/237323

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8 0
1 year ago
Question 4 please provide explanation for question
Artist 52 [7]

Answer:

A

Step-by-step explanation:

We need to find a equation that is where the domain is all real numbers and the range is all real numbers greater than -3

  • A square root function cannot equal to all real numbers because we cant take the square root of a negative number. so B and C are already wrong.
  • A cubic function range is all real numbers. so y can be greater than -3 but it would also include. values lesser than -3. so D is Wrong.

A is right, the domain of a absolute value function is all real numbers. The range of a absolute value is all numbers greater than or equal to zero but if we subtract 3, it changes into all real numbers greater than or equal to -3

3 0
3 years ago
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