We are given the set of points
<span>{(1, 60), (2, 240), (3, 960), (4, 3840)}{(1, 60), (2, 240), (3, 960), (4, 3840)}
If w is the function name and t is the input variable, then the equation has the form
w = k a^t
Plugging in any two of the points to solve for k and a
Choosing </span>(1, 60) and (2, 240)<span>
60 = k a
k = 60 / a
240 = k a^2
Substituting
240 = 60/a (a^2)
a = 4
and
k = 60 / 4 = 15
The function is
w = 15 (4^t)</span>
Answer:


<em>f(x) and g(x) and not inverse functions</em>
Step-by-step explanation:
Given


Required
Determine f(g(x))
Determine g(f(x))
Determine if both functions are inverse:
Calculating f(g(x))



Expand Brackets




Calculating g(f(x))




Expand Brackets



Checking for inverse functions

Represent f(x) with y

Swap positions of x and y

Subtract 9 from both sides



Divide through by 3


Take square root of both sides


Represent y with g(x)

Note that the resulting value of g(x) is not the same as 
<em>Hence, f(x) and g(x) and not inverse functions</em>
2x+7x=747
9x=747
x=83
83(2) = 166
83(7) = 581
Adiya’s method is not correct. To form a perfect square trinomial, the constant must be isolated on one side of the equation. Also, the coefficient of the term with an exponent of 1 on the variable is used to find the constant in the perfect square trinomial. Adiya should first get the 20x term on the same side of the equation as x2. Then she would divide 20 by 2, square it, and add 100 to both sides.
Answer:
see below
Step-by-step explanation:
804.5 meters. to yards
Step 1:
(1 mile = 1,609 meters)
(1 mile = 1,760 yards)
1,609 meters is being multiplied by conversion factor 1 mile over 804.5 meters equals 2 miles
<u>1,609 meter </u> x <u> 1 mile </u> = 2 miles
804.5 meters
Step 2:
(1 mile = 1,609 meters)
(1 mile = 1,760 yards)
2 miles is being multiplied by conversion factor 1760 yards over 1 mile equals 3,520 yards
2 miles x <u> 1,760 yards </u> = 3,520 yards
1 mile
no need of step 3. the conversion below should be on step 2.
to convert miles into yards.
(1 mile = 1,609 meters)
(1 mile = 1,760 yards)