The tax is $2.80 but the total is $42.80
Answer: the cost of each bush is $15
the cost of each flower is $2
Step-by-step explanation:
Let x represent the cost of each bush.
Let y represent the cost of each flower.
Portia bought 12 bushes and 30 flowers for $240 to plant in her yard. This is expressed as
12x + 30y = 240- - - - - - - - - - -1
Later, she realized she did not have enough plants and bought 7 more bushes and 10 more flowers for $125. This is expressed as
7x + 10y = 125- - - - - - - - - - -2
Multiplying equation 1 by 7 and equation 2 by 12, it becomes
84x + 210y = 1680
84x + 120y = 1500
Subtracting, it becomes
90y = 180
y = 180/90
y = 2
Substituting y = 2 into equation 1, it becomes
12x + 30 × 2 = 240
12x + 60 = 240
12x = 240 - 60 = 180
x = 180/12
x = 15
Answer:
y is less than or equal to -12
y<=-12
Step-by-step explanation:
If your directrix is a "y=" line, that means that the parabola opens either upwards or downwards (as opposed to the left or the right). Because it is in the character of a parabola to "hug" the focus, our parabola opens upwards. The vertex of a parabola sits exactly halfway between the directrix and the focus. Since our directrix is at y = -2 and the focus is at (1, 6) AND the parabola opens upward, the vertex is going to sit on the main transversal, which is also the "line" the focus sits on. The focus is on the line x = 1, so the vertex will also have that x coordinate. Halfway between the y points of the directrix and the focus, -2 and 6, respectively, is the y value of 2. So the vertex sits at (1, 2). The formula for this type of parabola is
where h and k are the coordinates of the vertex and p is the DISTANCE that the focus is from the vertex. Our focus is 4 units from the vertex, so p = 4. Filling in our h, k, and p:
. Simplifying a bit gives us
. We can begin to isolate the y by dividing both sides by 16 to get
. Then we can add 2 to both sides to get the final equation
, choice 4 from above.
Answer:
that looks tuff my boy good luck
Step-by-step explanation: