Answer:
height= 4.8cm
Step-by-step explanation:
volume= length×width× height given the volume and length and width, 288=12×5×h
288=60h
divide both sides by 60
h=4.8cm
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:
The coordinate of 
is 13.36.
Step-by-step explanation:
According to the statement, we have the following information:
(1)
(2)
(3)
(4)
From (2), we have the following expression:
(5)
If we know that and , then the coordinate of is:
The coordinate of is 13.36.
144/36 in lowest terms is 4.
To show my work, here.
1. Find the GCF of 144 and 36 so now we divide (144/36 = 4 and 36/36 is 1)
2. Now we have 4/1 so we simplify again so divide 4/1 and its 4
