Answer:
Step-by-step explanation:
1. Relation - a set of ordered pairs
2. Vertical line test - a test used to determine if a graph is a function; states that a vertical line can only go through one point on the graph to be a function
3. Function - a relation in which for any given input value, there is only one output value
4. Output - value generated by a function when an input value is substituted into the function and evaluated
5. Ordered pair - a group of two numbers written in the form (x, y) where the x value represents a horizontal position and the y value represents a vertical position
6. Mapping Diagram - a table or diagram that represents a mathematical relation
7. Input - a value that is substituted in for the variable in a function in order to generate an output value
The correct answer is B.
16-9=7
So, 7+9=16.
If we add to 9 only 1 (out of those 7) we have then 10, remaining 6.
9+1=10
Now, if to 10 we add the remaining 6 we will have the final 16.
10+6=16
16-9=7 <=> 9+7=16 <=> (9+1)+6=16
<span>M/2=m+1/10
m - m/2 = = -1/10
m/2 = -1/10
m = (- 1/10)(2)
m = - 1/5</span>
Given the expression,
We will have to rationalize the denominator first. To rationalize the denominator we have to multiply the numerator and denominator both by the square root part of the denominator.
![[(8x-56x^2)(\sqrt{14x-2})]/[(\sqrt{14x-2})(\sqrt{14x-2})]](https://tex.z-dn.net/?f=%20%5B%288x-56x%5E2%29%28%5Csqrt%7B14x-2%7D%29%5D%2F%5B%28%5Csqrt%7B14x-2%7D%29%28%5Csqrt%7B14x-2%7D%29%5D%20)
If we have 
, we will get 
by multiplying them. And 
.
So here in the problem, we will get,
![[(8x-56x^2)(\sqrt{14x-2})]/(14x-2)](https://tex.z-dn.net/?f=%20%5B%288x-56x%5E2%29%28%5Csqrt%7B14x-2%7D%29%5D%2F%2814x-2%29%20)
Now in the numerator we have 
. We can check 8x is common there. we will take out -8x from it, we will get,
And in the denominator we have 
. We can check 2 is common there. If we take out 2 from it we will get,
So we can write the expression as
![[(-8x)(7x-1)(\sqrt{14x-2})]/[2(7x-1)]](https://tex.z-dn.net/?f=%20%5B%28-8x%29%287x-1%29%28%5Csqrt%7B14x-2%7D%29%5D%2F%5B2%287x-1%29%5D%20)
is common to the numerator and denominator both, if we cancel it we will get,
We can divide -8 by the denominator, as -8 os divisible by 2. By dividing them we will get,
So we have got the required answer here.
The correct option is the last one.
The GCF of 14 and 35 is 7.
