1.5(17.25) = 25.88 --- this is ur overtime pay per hr
17.25(40) + 25.88(4) = 690 + 103.52 = 793.52...nice weekly pay :)
Answer:
y = 2x + 5+2 graph would shift by 2 unit.
Step-by-step explanation:
Given : y = 2x + 5 .
To find :If you wanted to shift the graph up what would be equation .
Solution : We have given that y = 2x + 5 .
BY the transformation rule ; if f(x) +k then graph would shift up by k units .
Then to shift the graph of y = 2x + 5 up we need to add something in 5
Like y = 2x + 5+2
Then graph would shift by 2 unit.
Therefore, y = 2x + 5+2 graph would shift by 2 unit.
Answer:
Sam sokey 0.5 hours biking and 3.5 hours walking
Step-by-step explanation:
Here, we want to know the number of hours spent walking and biking
Mathematically; distance = speed * time
Let the number of hours spent walking be x and the number of hours spent biking be y
Mathematically;
x + y = 3 •••(i)
distance spent walking = 4 * x = 4x miles
distance spent biking = 12 * y = 12y miles
4x + 12y = 20
divide through by 2
2x + 6y = 10 ••••••(ii)
From i , x = 4-y
Substitute this into ii
2(4-y) + 6y = 10
8 - 2y + 6y = 10
8 + 4y = 10
4y = 10-8
4y = 2
y = 2/4 = 0.5 hours
The number of hours spent walking = 4-0.5 = 3.5 hours
Let width of the rectangular plot be x meters
then total of widths = 2x
and the length would be (550 - 2x) meters.
so the area = x(550 - 2x) = 550x - 2x^2
to find the maximum are find the derivative and equate to zero:-
f'(x) = 550 - 4x = 0
x = 550/4 = 137.5 meters = width
length = 550 - 2(137.5) = 275
Maximum area is when width = 137.5m and length = 275m
For this case we can use the following trigonometric relationship to solve the problem:
Where,
C.O: opposite leg
h: hypotenuse
Substituting values we have:
Clearing x we have:
Making the corresponding calculations we have:
Answer:
The value of x is given by:
