Y1 is the simplest parabola. Its vertex is at (0,0) and it passes thru (2,4). This is enough info to conclude that y1 = x^2.
y4, the lower red graph, is a bit more of a challenge. We can easily identify its vertex, which is (-4,0), and several points on the grah, such as (2,-3).
Let's try this: assume that the general equation for a parabola is
y-k = a(x-h)^2, where (h,k) is the vertex. Subst. the known values,
-3-(-4) = a(2-0)^2. Then 1 = a(2)^2, or 1 = 4a, or a = 1/4.
The equation of parabola y4 is y+4 = (1/4)x^2
Or you could elim. the fraction and write the eqn as 4y+16=x^2, or
4y = x^2-16, or y = (1/4)x - 4. Take your pick! Hope this helps you find "a" for the other parabolas.
4/5 x 2= 8/5
Which is 1 3/5 cups needed for 2 pies
Answer:
6y+3xy
Step-by-step explanation:
You can combine the y's together to get this answer
Answer:
a.) Total amount spent on gasoline and oil = $ ( 3.95g + 4.45c )
b.) Total amount spent by Maria = $ 74.02
Step-by-step explanation:
As given,
Cost of gasoline = $ 3.95 gallon
Cost of oil per can = $ 4.45
Also given,
Maria bought g gallons of gasoline and c cans of oil
⇒ Total cost of g gallons of gasoline = g×3.95 = $3.95g
Total cost of c cans of oil = c×4.45 = $4.45c
Now,
a.)
Total amount spent on gasoline and oil = $ ( 3.95g + 4.45c )
b.)
As given ,
Maria buy gasoline , g = 8.6 gallons
Maria buy cans of oil , c = 6
So,
Total amount spent = $ 3.95(8.6) + 4.45(9)
= $ 33.97 + 40.05 = $ 74.02
⇒Total amount spent by Maria = $ 74.02
1/4(2x - 14) = 4....multiply both sides by 4
2x - 14 = 4 * 4
2x - 14 = 16
2x = 16 + 14
2x = 30
x = 30/2
x = 15 <==
