Given:
Variable g is 8 more than variable w. ⇒ g = w + 8
Variable g is also 4 less than w ⇒ g = w - 4
g = w + 8 or w = g - 8
g = w - 4 or w = g + 4
Assuming that the mix disolves into the 20 gallons and doesn't take up space
1:2
x:20
1/2=x/20
multiply btoh sides by 20
10=x
answer is 10 cups of mixture
Answer:
JK = 30 .
Step-by-step explanation:
As JMLK is a kite the diagonals bisect each other at right angles so triangle JNK is a right triangle.
JK^2 = 18^2 + 24^2 = 900
JK = 30.
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]