Answer:
see below
Step-by-step explanation:
g(x) = 1/2 | x+2| -3
y = Cf(x) 0 < C < 1 compresses it in the y-direction
y = f(x + C) C > 0 moves it left
y = f(x) + C C < 0 moves it down
1/2 compression in the y direction moved to the left 2 units and down 3 units
The equation would look something like this: 50+60x (x being the number of hours the plumber worked)
Since the price increases by $60 every hour, the constant rate would be $60. The total cost of the bill would be 50+60*6
( $410 )
In any function y = f(x) , set of all possible values of x define the domain of f(x), in the graph The curve in terms of x-axis(in 1st & 3rd quadrant) goes from -4 to -2(doesnt include -2).
So domain = [-4, -2)
Similarly, in 2nd and 4th quadrant, for x-axis
It goes from 2 to 5 (doesnt include 2 & 5)
So domain = (2, 5)
Hence,
Domain of the f(x) is [-4, -2) U (2, 5).
Range tells the possible values of y, for this function it goes from -5 to +3(doesnt include 3).
Range is [-5, 3)
Answer:
27
Step-by-step explanation:
Let x represent the number of $0.15 stamps Ivan bought. Then the value of his stamps is ...
0.15x +0.40(35-x) = 7.25
-0.25x +14.00 = 7.25 . . . . . eliminate parentheses, collect terms
-0.25x = -6.75 . . . . . . . . . . . subtract 14.00
x = 27 . . . . . . . . . . . . . . . . . . divide by -0.25
Ivan bought 27 $0.15 stamps.
Answer:
X = 5
Step-by-step explanation:
Angles on a straight line=180°
180-151=29°
sum of angles in a triangle= 180°
11x-1+20-3+29=180
11x+20x-3-1+29=180
31x+25=180
31x=180-25
31x=155
divide both sides by 31
X=5
(11x-1)°= 55-1= 54°
(20x-3)°= 100-3= 97°
54°+97°+29°=180°