Answer:
.
Step-by-step explanation:
If two equations
and
has infinitely many solutions, then
The given equations are
It is given that the above system of equations has infinitely many solutions. So,
Now,
and
and
and
So, a=1.5 and b=2.
Now,
Therefore,
.
Answer:
48.06 to the nearest hundredth.
Step-by-step explanation:
f(x) = -16x^2 + 2x + 48
To find the maximum height we convert to vertex form:
= -16(x^2 + 1/8x) + 48
= -16[x + 1/16)^2 - 1/256] + 48
= -16(x + 1.16)^2 + 16/256 + 48
= 48.0625.
Since there are 4 quarts in a gallon and we have 28 quarts we would have 7 gallons.
<u>The answer is 7. </u>