X=original cost
37.80=1.08x
x=37.80/1.08
x=35
original cost: $35
Explanation:
Level 2
Part 1: √250 would be simplified to 5√10, because you need to find two factors that equal 250. 25 multiplied by 10 are two factors that you can utilize. Because 25 is a perfect square, it could be reduced to 5. Because 10 isn't a perfect square, you leave it as a radical.
Part 2: √250 is an irrational number because it's a non-terminating decimal and you cannot convert it into a fraction, so it wouldn't be rational.
Level 3
Part 1: √150x^5 would be simplified to 5x^2√6x. Again, find two factors that equal the product, 150. 25 multiplied by 6 are two factors that are useable. Just like the first question, 25 is a perfect square, so it can be reduced to 5. 6 is not a perfect square, so you would leave as a radical. Now, moving onto x^5. You can factor out x^4, because it's a perfect square. x^4 can become x^2. Move x^2 next to 5 and x would be left in the radical with 6.
Part 2: It's rational because 2√4 is simply just 2 x 2 because √4 is a perfect square. 4+7=11. 11 can be converted into a fraction, so it wouldn't be irrational.
Level 4
Part 1: 13√750x*5 y*8 would be simplified to 65x^2y^4√30x. Find two factors that equal 750, which are 25 and 30. You know the drill, 25 is reduced to 5 and 30 stays as a radical. Multiply 13 and 5 to get 65. Factor out x^4 out of x^5 to get x^2. x^8 is a perfect square that can be reduced to x^4.
Part 2: Two unique expressions are 4√16+3 and 5√8 x 34. √16 is a perfect square, so it can become 4. 4 x 4 is 16 and 16 + 3 = 19. 19 is a rational number. 5√8 is irrational, so right off the bat, you'll know it's an irrational expression.
Answer:
A is correct answer
Step-by-step explanation:
If you add the two b's then it would be "2b" which is equivalent to the the other problem on the other side of the equal sign which is 2b + 3c
Answer:
So, the range of this function will be all real numbers.
or R = ( -∞, +∞ )
Step-by-step explanation:
First I would like to do is to show you how to find the domain of the function.
The domain is the set of all x values or input values that are going to make our function true.
The graph of this linear function i.e f(x) = 2x1 – 3 will be a straight line where for all the values of x (whether positive or negative) there is a point on this function that has a y value.
So, for every input of x ( no matter whether it is negative or it is positive, whether it is the lowest or it is the highest), there will always be an output. There will be no breaks on the graph.
So, the domain of this function will be all real numbers.
Or D = ( -∞, +∞ )
In order to determine the range, we must know that for every input value of x ( no matter whether it is negative or it is positive, whether it is the lowest or it is the highest, there will be always be the value of y (output) of this function that can be any real number. So, the set of all the possible values of y will be the range of the function.
So, the range of this function will be all real numbers.
or R = ( -∞, +∞ )
Keywords: Domain, Range, Real Number
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The measure of angle GXI is 80
