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inessss [21]
3 years ago
11

The positive number x is divisible by 42, and is composed of only 1s and 0s when written in base 10. what's the smallest number

that x might be?
Mathematics
1 answer:
Ede4ka [16]3 years ago
6 0
<span>You are given a positive number x that is divisible by 42. You are also given that the answer must be composed of only 1s and 0s when written in base 10. You are asked to find what is the smallest number that x is. 
</span>
We can solve this through trial and error. I manually multiplied numbers starting from 1 and then multiplied it with 42 to see if I can get a value that has a 1 and a 0. So far, the least number is 5. 

5 x 42 = 210

But the question asks for a complete 1s and 0s for the answer, and so, by manual multiplication,

42 x 2,405 = 101,010
or
210 x 481 = 101,010

The least number is 5.
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5. f(x) = 3x³ - 4x² +6x and g(x)=5x ³+ 2x²- 3x. What is f(x) - g(x)?
sasho [114]

Answer:

<h2>A. -2x³ - 6x² + 9x</h2>

Step-by-step explanation:

f(x)=3x^3-4x^2+6x\\\\g(x)=5x^3+2x^2-3x\\\\f(x)-g(x)=(3x^3-4x^2+6x)-(5x^3+2x^2-3x)\\\\=3x^3-4x^2+6x-5x^3-2x^2-(-3x)\qquad\text{combine like terms}\\\\=(3x^3-5x^3)+(-4x^2-2x^2)+(6x+3x)\\\\=-2x^3-6x^2+9x

8 0
3 years ago
Is -0.3 with the line over the 3, a rational, irrational number or integer?​
IrinaK [193]

Answer:

rational because the line over the three means the three repeats

decimal values that terminate or repeat are rational

Step-by-step explanation:

4 0
3 years ago
Help please! i have another question after this one! 15 points!
professor190 [17]

Answer:

adjacent angles

complementary angles

Step-by-step explanation:

vertical angles are across from each other and equal  False

adjacent angles are next to each other  True

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4 0
3 years ago
What is the domain and range of the following functions? Number 1 please
MrMuchimi
Answers:
Part 1 (the ovals)
Domain = {-6,-1,1,5,7}
Range = {-4,-1,2,4}
-------------------
Part 2 (the table)
Domain = {1,-3,-2}
Range = {-2,5,1}
-------------------
Part 3 (the graph)
Domain = {1, 2, 3, 4, 5, 6}
Range = {-1, 0, 1, 2, 3, 6}

===============================================

Explanation:

Part 1 (the ovals)
The domain is the set of input values of a function. The input oval is the one on the left. 
All we do is list the numbers in the input oval to get this list: {-6,-1,1,5,7}
The curly braces tell the reader that we're talking about a set of values.
So this is the domain.

The range is the same way but with the output oval on the right side
List those values in the right oval and we have {-4,-1,2,4}
Which is the range. That's all there is to it.

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

Part 2 (The tables)

Like with the ovals in part 1, we simply list the input values. The x values are the input values. Notice how this list is on the left side to indicate inputs.
So that's why the domain is {1, -3, -2}. Optionally you can sort from smallest to largest if you want. Doing so leads to {-3, -2, 1}

The range is {-2,5,1} for similar reasons. Simply look at the y column

Side Note: we haven't had to do it so far, but if we get duplicate values then we must toss them. 
------------------------------
Part 3 (the graph)

Using a pencil, draw vertical lines that lead from each point to the x axis. You'll notice that you touch the x axis at the following numbers: 1, 2, 3, 4, 5, 6
So the domain is the list of those x values (similar to part 2) and it is {1, 2, 3, 4, 5, 6}

Erase your pencil marks from earlier. Draw horizontal lines from each point to the y axis. The horizontal lines will arrive at these y values: -1, 0, 1, 2, 3, 6
So that's why the range is {-1, 0, 1, 2, 3, 6}

5 0
4 years ago
What is bigger 3/7 or 2/10?
yanalaym [24]
3/7. if you make them equivalent fractions it would be 30/70 or 14/70. 30/70 is bigger.
7 0
3 years ago
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