Hey there!!
The number of mountain bikes - x and trail bikes - y
Into an equation
40x + 50y = 1750 ( this is for materials ) ------------------ ( 1 )
80x + 50y = 2750 ( this is for labor ) --------------------- ( 2 )
Subtracting the first equation from the second
40x = 1000
x = 1000 / 40
x = 25
x = mountain bikes = 25 bikes
The required answer = 25
Hope helps!
9514 1404 393
Answer:
f(x) = 2(x -3)² +5
Step-by-step explanation:
For vertex (h, k) and scale factor 'a', the vertex form is ...
f(x) = a(x -h)² +k
We can fill in the values of h and k from your vertex, and use the values of the extra point to find 'a'.
55 = a(-2 -3)² +5
50 = 25a . . . . . . . . subtract 5
a = 2 . . . . . . . . . . . divide by 25
So, the function is ...
f(x) = 2(x -3)² +5
__
In standard form, that will be ...
f(x) = 2x² -12x +23
Answer:
A
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
Here [ a, b ] = [ 2, 4 ], thus
f(b) = f(4) = 16 ← corresponding value of y from table
f(a) = f(2) = 4 ← corresponding value of y from table , thus
average rate of change = 
= 
= 6 → A
421.75
2
_____
843.50
+
15.25
4
____
61.00
843.50
+ 61.00
_______
904.50
<span>Number of values = 5 (There are 5 values given)
Mean = (82 + 44 + 67 + 52 + 120)/5 = 73
Variance = (1/5) [(82-73)^2 + (44-73)^2 + (67-73)^2 + (52-73)^2 + (120-73)^2] = 721.6
Standard deviation = sqrt (721.6) = 26.86</span>
