Answer:
-9m - 4 + 2m = -9 - 7m + 5
-7m - 4 = -7m - 4
-7m + 7m = -4 + 4
0 = 0
This is an identity solution because the same number equals the same number. That means there's an infinite set of solutions.
Answer:
c=3
Step-by-step explanation:
The maximum height is 144 feet.
The maximum height is the y-coordinate of the vertex. To find the vertex, we first use x = -b/2a. For our information, that is x=-64/2(-16) = -64/-32 = 2.
Now we substitute this into the equation:
y = -16(2²) + 64(2) + 80 = -64 + 128 + 80 = 144
Answer:
Answer C is correct.
Step-by-step explanation:
f(x) clearly has a maximum: y = +10 at x = 0.
Analyzing g(x) = -(x + 1)^2 - 10, we see that the vertex is at (-1, -10), and that the graph opens down. Thus, -10 is the maximum value; it occurs at x = -1.
Answer A is false. Both functions have max values.
Answer B is false. One max is y = 10 and the other is y = -10.
Answer C is correct. The max value of f(x), which is 10, is greater than the max value of g(x), which is -10.
Answer D is false. See Answer B, above.
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, .
