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: B
3•5=15
Since were finding x it’s going to be
x=3y-15
It’s subtraction because obviously if you see in the problem there’s subtraction
<h2><em>
h≥60</em></h2>
This is saying that your height has to be equal to or greater than 60 inches.
Jacob used 1/7 of a liter
of water.
He needs to fill 1/9 of the fish aquarium.
Find how many liters would Jacob need to fill the aquarium
=> Let x = liters of water need to fill the aquarium
=> x/1 = 1/7 divided by 1/9
=> x = 1/7 x 9/1
=> x = 9/7, since this is an improper fraction, let’s convert it to
mixed fraction
=> x = 1 and 2/7
So, Jacob need 1 and 2/7 liter of water to fill the whole aquarium.
Answer:
Probabilty of winning the next two matches in a row = 1/9
Step-by-step explanation:
The total number of possible outcome = 3
(Win, lose, draw)
The probability of obtaining a win in a single match = 1/3
The probability of winning in two rows is 1/3² = 1/9
