Answer:
74
Step-by-step explanation:
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:
2
Step-by-step explanantion:
You sustitute 20 for s to get 20 = d + 18, subtract 18 from both sides and you get d = 2.
Answer:
4x-2y=2
Step-by-step explanation:
Line R is represented by the following equation:
x+y=2
We need to choose another system of equation of x+y=2
whose solution is (1,1)
The equation must be satisfy the point (1,1)
Option 1: 2x+y = 2
Put x=1 and y=1
2(1)+1 = 3
3 ≠ 2
False
Option 2: 4x-2y=2
Put x=1 and y=1
4(1) - 2(1) = 2
2 = 2
True
Option 3: 2x-2y=2
Put x=1 and y=1
2(1) - 2(1) = 0
0 ≠ 2
False
Option 4: x+y=4
Put x=1 and y=1
1+1 = 2
2 ≠ 4
False
Hence, The system of equation is 4x-2y=2
Answer:
50.04 pounds
Step-by-step explanation:
If 1 gallon weighs 8.34 pounds,
all you have to do is multiply 8.34 by 6
to get what 6 gallons would weigh.