Answer:
-2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4(3+c)+c=c+4
(4)(3)+(4)(c)+c=c+4(Distribute)
12+4c+c=c+4
(4c+c)+(12)=c+4(Combine Like Terms)
5c+12=c+4
5c+12=c+4
Step 2: Subtract c from both sides.
5c+12−c=c+4−c
4c+12=4
Step 3: Subtract 12 from both sides.
4c+12−12=4−12
4c=−8
Step 4: Divide both sides by 4.
4c
4
=
−8
4
c=−2
The first species to populate an uninhabited
Answer:1.55?
Step-by-step explanation:
Answer:
D (x-10)
Step-by-step explanation:
x^2 - 8x - 20
(x -10)(x+2)
Answer:
42.25 feet
Step-by-step explanation:
The height function is a parabola. The maximum value of a negative parabola is at the vertex, which can be found with:
x = -b/2a
where a and b are the coefficients in y = ax² + bx + c.
Here, we have y = -16t² + 52t. So a = -16 and b = 52. The vertex is at:
t = -52 / (2×-16)
t = 13/8
Evaluating the function:
h(13/8) = -16(13/8)² + 52(13/8)
h(13/8) = -169/4 + 169/2
h(13/8) = 169/4
h(13/8) = 42.25
