Eliminate x's by adding te 2 equations
add them
-2x+15y=24
<u>2x+9y=24 +</u>
0x+24y=48
24y=48
divide both sides by 24
y=2
sub back
2x+9y=24
2x+9(2)=24
2x+18=24
minus 18 both sides
2x=6
divide 2
x=3
x=3
y=2
(x,y)
(3,2)
g(x) = -(x + 1)^2 - 3
Let's simplify this equation
g(x) = -(x^2 + 2x + 1) - 3
Distribute the negative sign
g(x) = -x^2 - 2x + 1 - 3
Combine like terms
g(x) = -x^2 - 2x - 2
The value of a = -2 and this value is LESS THAN 0
Let's say the numbers are "a" and "b"
thus

set the derivative to 0, and check the critical points, there's only one anyway
and do a first-derivative test, to see if it's a maximum
Answer:
The range of the function will be (- ∞, 4].
Step-by-step explanation:
See the graph attached.
Here we have to get the range of the graphed function.
The value of y in the graphed function varies in the range of less than or equal to 4.
Because the graph of the function does not move beyond 4 towards +∞.
Therefore, the range of the function will be (- ∞, 4]. (Answer)