Answer:
(A)(0, 64)
Step-by-step explanation:
The local maximum of a function at a certain point in its domain is the value which is greater than or equal to the values at all other points in the immediate vicinity of the point.
Given the table:
From the table, (0,64) is a local maximum of the function f(x) as it is greater than the points around it.
Answer:
C.g(x) = 5x²
Step-by-step explanation:
To find the equation for the function g(x), use the format for a quadratic equation. Without any up/down and left/right shifts, the form is y = ax².
Substituting "x" and "y" into the equation tells you if a point is on the graph.
"a" tells you the vertical stretch (greater than 1) or compression (greater than 0, less than 1).
In f(x) = x², a = 1 even though it's not written.
<u>Use the point (1, 5) on g(x) and substitute it</u> into the form for a quadratic function. Remember points are (x, y), so x = 1 and y = 5.
g(x) = ax²
y = ax² In function notation, g(x) replaces the "y". Switch it back to "y".
5 = a(1)² Substitute x = 1 and y = 5
5 = a(1) Solve the exponent first. (1)² = 1
5 = a When you multiply "a" by 1, the answer is just "a".
a = 5 Solved for "a". Put variable on left side for standard formatting.
With the quadratic form, substitute "a" into g(x).
y = ax²
g(x) = 5x²
Answer:
14.5 ft or 14 1/2 ft
Step-by-step explanation:
36in= 1 yard
9x36= 324in (I'm guessing this is the length)
324in (length) -150in (width)= 174in
12 in= 1 ft
174/12= 14 ft 6 in
6 inches is half a foot
14.5 ft or 14 1/2 ft
Answer:
S= 36.76
Step-by-step explanation:
S = area of base +(base of perimeter*Slant height)*1/2
S = 4*4+((4+4+4)/2)*3.46
S = 16+((12/2)*3.46)
S = 16+6*3.46
S = 16 + 20.76
S = 36.76 cm^2
