Answer:
64x^127
Step-by-step explanation:
caculate it with all the numb
Answer:
A.) gf(x) = 3x^2 + 12x + 9
B.) g'(x) = 2
Step-by-step explanation:
A.) The two given functions are:
f(x) = (x + 2)^2 and g(x) = 3(x - 1)
Open the bracket of the two functions
f(x) = (x + 2)^2
f(x) = x^2 + 2x + 2x + 4
f(x) = x^2 + 4x + 4
and
g(x) = 3(x - 1)
g(x) = 3x - 3
To find gf(x), substitute f(x) for x in g(x)
gf(x) = 3( x^2 + 4x + 4 ) - 3
gf(x) = 3x^2 + 12x + 12 - 3
gf(x) = 3x^2 + 12x + 9
Where
a = 3, b = 12, c = 9
B.) To find g '(12), you must first find the inverse function of g(x) that is g'(x)
To find g'(x), let g(x) be equal to y. Then, interchange y and x for each other and make y the subject of formula
Y = 3x + 3
X = 3y + 3
Make y the subject of formula
3y = x - 3
Y = x/3 - 3/3
Y = x/3 - 1
Therefore, g'(x) = x/3 - 1
For g'(12), substitute 12 for x in g' (x)
g'(x) = 12/4 - 1
g'(x) = 3 - 1
g'(x) = 2.
Answer: Height of the water is 20 cm.
Step-by-step explanation:
Since we have given that
Base area = 100 square cm
volume of vase shaped like an octogonal prism = 2 liters
We need to find the height of water.
and 1 liter = 1000 cm³
2 liters = 2×1000 cm³
As we know the formula for "Volume":
Hence, height of the water is 20 cm.
To find volume, we will use the following equation: V=4/3piR^3
The correct answer should be 1436.76
-3(6-10v-5v)
=-3(6-15v)
=-18+45v
-18+45v is the final answer.
