Answer:
y=20(6)^x
Step-by-step explanation:
the graph passes through the point (0,20) : when x=0 and y=20 :
20= ab^0 so a=20 because : b^0 = 1
the graph passes through the point (3,4320) : when x=3. and y=4320 : 4320= ab^3 but : a=20 so : 4320 = 20b^3
so : b^3 = 4320/20 = 216...... 216 = 6^3
b^3 = 6^3
b=6
the function is : y=20(6)^x
Answer: The correct option is
(A) If F and G differ by a constant, then f = g.
Step-by-step explanation: According to the given condition, we have
We are to select the correct statement.
Let F(x) = p(x) and G(x) = p(x) + c, c - constant.
Then, we get
Therefore,
Thus, if F and G differ by a constant, then f = g.
Option (A) is CORRECT.
4 (3x+9)-3(5y+7) =11
distribute
12x +36 -15y -21 =11
12x -15y +15 =11
subtract 15 from each side
12x -15y =-4
subtract 12x from each side
-15y= - 12x-4
divide by -15
y = -12/-15 x -4/-15
y = 4/5 x + 4/15
slope = 4/5
y intercept = 4/15
Material=wall+2*side and material is 40 ft so:
40=w+2s
w=40-2s
Area=ws, using w from above we get:
A=(40-2s)s
A=40s-2s^2
dA/ds=40-4s and d2A/ds2=-4
Since d2A/ds2 is a constant negative acceleration, when dA/ds=0, A(s) is at an absolute maximum.
dA/ds=0 when 4s=40, s=10 ft
And since w=40-2s, w=20 ft
So the dimensions of the pen are 20 ft by 10 ft, with the 20 ft side being opposite the wall. And the maximum possible area is thus 200 ft^2
