Answer:
The answer is
Step-by-step explanation:
Well...this is a proportion problwm. for every 16 cups I have 1 gallon, so I can write that as:
16 cups
-----------
1 gallon
this value will be proportional to 1/4 a gallon equal "so many" cups. let's equal the unknown about of cups to x.
16 cups______ x cups
-----------.... = ..... ----------
1 gallon _____ 1/4 gallons
I can cross multiply to find x.
1 gallon • x cups = 16 cups • 1/4 gallons
16 times 1/4 is the same as 16/4, which equals 4.
1 gallon • x cups = 4 cups gallons
divide both sides by gallons
x cups = 4 cups
so! 1/4 of a gallon equals 4 cups.
Answer:
c) parabola and circle: 0, 1, 2, 3, 4 times
d) parabola and hyperbola: 1, 2, 3 times
Step-by-step explanation:
c. A parabola can miss a circle, be tangent to it in 1 or 2 places, intersect it 2 places and be tangent at a 3rd, or intersect in 4 places.
__
d. A parabola must intersect a hyperbola in at least one place, but cannot intersect in more than 3 places. If the parabola is tangent to the hyperbola, the number of intersections will be 2.
If the parabola or the hyperbola are "off-axis", then the number of intersections may be 0 or 4 as well. Those cases seem to be excluded in this problem statement.
The lowest common denominator is 9/90 and 14/90, multiplying 1/10 by 9/9 and 7/45 by 2/2. I am assuming you know how to solve for LCD? If you don't I can explain in comments.