Answer:
Part 1) The domain of the quadratic function is the interval (-∞,∞)
Part 2) The range is the interval (-∞,1]
Step-by-step explanation:
we have

This is a quadratic equation (vertical parabola) open downward (the leading coefficient is negative)
step 1
Find the domain
The domain of a function is the set of all possible values of x
The domain of the quadratic function is the interval
(-∞,∞)
All real numbers
step 2
Find the range
The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.
we have a vertical parabola open downward
The vertex is a maximum
Let
(h,k) the vertex of the parabola
so
The range is the interval
(-∞,k]
Find the vertex

Factor -1 the leading coefficient

Complete the square


Rewrite as perfect squares

The vertex is the point (7,1)
therefore
The range is the interval
(-∞,1]
Answer:
(-1 1/2, 6)
Step-by-step explanation:
The mid point between A(-3,6) and B(0,6) represents the coordinates of point P, which is (x,y)
Hence,the coordinates, that is, AP: x = (-3 + 0)/2 = -3/2 = -1 1/2
also, BP: y = (6 + 6)/2 = 6
Therefore, the coordinates of point P = ( -1 1/2, 6)
36/ (9 - 3) = 6
Cause:
9 - 3 = 6
Then:
36/6 simplified equals 6
So, your answer is 36/(9 - 3) = 6
Hope it helps! Good luck friend! :3
1/7+2x/3=(15x-3)/21 make all terms have a common denominator of 21
3+14x=15x-3 subtract 3 from both sides
14x=15x-6 subtract 15x from both sides
-x=-6 divide both sides by -1
x=6
*Notice the use of parentheses in this format to make it clear what the numerators and denominators are...
Answer:
B and D
Step-by-step explanation:
Take a look at all the options x=4, 3, 1, 2 > 0
So, we just care about the domain where x>0, which is
.
Then plug in x we will have the right answer.