we know that
a) 
gallon is equal to 
quarter of gallon
so
by proportion
gallons is equal to
quarter of gallon
b) liter is equal to 
quarter of gallon
by proportion
quarter of gallon is equal to
liters
therefore
the answer is the option
Answer:
Step-by-step explanation:
Let x ft be the length of the fence and y ft be the width of the fence.
1. The length of the habitat should be at least 80 feet, then
2. The perimeter of the habitat should be no more than 300 feet. The perimeter of the fences 2x+2y ft, then
3. The system of inequalities that represent the model is
The graph of these inequalities is attached.
Two possible solutions are
1. x=100 ft, y=20 ft (100≥80 and 2·100+2·20=240≤300);
2. x=110 ft, y=30 ft (110≥80 and 2·110+2·30=280≤300).
You will need to add 3 to each side.
x^2-3=15
+3 +3
x^2=12
and go from there
Answer:
(3,0) and (0,6)
Step-by-step explanation:
(x,y) is the only way to make ordered pair.
The x was a 3 so you could cross out the first and last because they put the 3 in the y spot. When is should be (3,0).
Then the y was 6 and that I would be (0,6) so the third would also be crossed out because they put the 6 in the y spot.
So the answer is (3,0) and (0,6).
<span>5.1 </span> Find the Vertex of <span>y = x2-2x-15
</span>Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).<span>
</span>Each
parabola has a vertical line of symmetry that passes through its
vertex. Because of this symmetry, the line of symmetry would, for
example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.<span>
</span>Parabolas
can model many real life situations, such as the height above ground,
of an object thrown upward, after some period of time. The vertex of the
parabola can provide us with information, such as the maximum height
that object, thrown upwards, can reach. For this reason we want to be
able to find the coordinates of the vertex.<span>
</span>For any parabola,<span>Ax2+Bx+C,</span>the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 1.0000 <span>
</span>Plugging into the parabola formula 1.0000 for x we can calculate the y -coordinate :<span>
</span><span> y = 1.0 * 1.00 * 1.00 - 2.0 * 1.00 - 15.0
</span> or <span> y = -16.000</span>
