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:
x= -31
Step-by-step explanation:
Answer:
w = 98
n = 6
a = 18
Step-by-step explanation:
Question 1)
7 = w/ 14
All you need to do is multiply each side by 14 to find w:
7(14) = W
W = 98
Question 2)
42/n = 7
For this one, first multiply each side by "n":
42 = 7n
and then divide both sides by 7:
N = 6
Question 3)
All you need to do for this question is divide 324 by 18 to find "a":
324/18 = a
a = 18
I hope this helps!
-TheBusinessMan
Answer:
C. (-13, -7)
Step-by-step explanation:
The location of a point O(x, y) that divides a line AB with location A
and B
in the ratio m:n is given by:

Therefore the coordinates of point X That divides line segment from Y(-8, 8) to T(-15, -13) in the ratio 5:2 is:

Therefore the coordinates of point X is at (-13, -7)
Okay, so we multiply..
And we know that a week = 7 days..
So..
2 * 2/3 * 7 = ???
We change the 2 into 2/1
THEN we multiply..
2/1 * 2/3 = 4/3
Then we change the 7 into 1/7.. ( Which is still a whole )
Then multiply again..
4/3 * 1/7 = 4/21
You can correct me if I'm wrong...
I hope this helps you!