Step-by-step explanation:
ax^2+bx+c=0
a=leading term
ok so if the leading term is positive then opens up and has a <u>min</u>
if leading term is negative then opens down and has a <u>max</u>
leading term is positive
1x^2+8x
it has a min
to complete the square, move c aside take 1/2 of b and square it
b=8
8/2=4
4^2=16
now add that to both sides
x^2+8x+16+6=0+16
factor perfect square
(x+4)^2+6=16
subtract 6
(x+4)^2=10
subtract 10
(x+4)^2-10=0
vertex aka min or max is (h,k) when ou have
y=a(x-h)+k
h=-4
k=-10
Answer:
g(h(2))= 5
Step-by-step explanation:
h(x)=x^3-3
g(2^3-3)
the 2 replaces the x
simplify
g(5)
Answer: 96 m²
Step-by-step explanation: Surface area is the sum of the areas of all of the faces of a 3-dimensional figure.
So to find the surface area of a cube, it's important to understand that each face of a cube has the same area so we can simply find the area of one face of a cube and multiply by the number of faces which is 6.
To find the area of one face of a cube, we can use the formula for the area of a square which is S².
Since the length of a side is 4 meters, we have (4 m)² or 4 meters x 4 meters which is 16 m².
Now, since there are six sides to a cube, we have 6 (16 m)² which is equal to 96 m². So the surface area of the cube is 96 m².
24 / 2 = 12
8/2=4
12-6= 6
6+4= 10
Final answer is 10
