Subtract 30, then factor the equation.
... x² = 30
... x² - 30 = 0
... (x -√30)(x +√30) = 0
By the zero product rule, the solutions are values of x that make a factor be zero.
... x - √30 = 0 . . . . the first factor is zero
... x = √30
... x + √30 = 0 . . . . the second factor is zero
... x = -√30
The solutions are . . .
... x = ±√30 . . . . . matches your 3rd choice
Answer:
Yes, f(x) =
is a constant function.
Step-by-step explanation:
A function is defined to be a relation from 1 set of numbers to another set of numbers.
The main condition for a relation to be a function is that for every number in the domain there should be a <u>unique image</u>
Here the given function is f(x) = 
This function is a constant function and gives the value 0.75 for all values of x.
Hence the graph would be a straight line parallel to the x-axis passing through y = 0.75.
Hence the f(x) = 0.75 is a function.
Answer:
Therefore, equation of the line that passes through (2,2) and is parellel to the line
is 
Step-by-step explanation:
Given:
a line 
To Find:
Equation of line passing through ( 2, 2) and is parellel to the line y=7x
Solution:
...........Given
Comparing with,

Where m =slope
We get

We know that parallel lines have Equal slopes.
Therefore the slope of the required line passing through (2 , 2) will also have the slope = m = 7.
Now the equation of line in slope point form given by

Substituting the points and so we will get the required equation of the line,

Therefore, equation of the line that passes through (2,2) and is parellel to the line
is 