The answer is A)1/2[sin(4x)+sin(2x)]
Answer:
(1): "*-5x2y" was replaced by "*(-5x2y)".
(2): "x2" was replaced by "x^2". 1 more similar replacement(s).
STEP
1
:
Equation at the end of step 1
(3x • (y2)) • (0 - (5x2 • y))
STEP
2
:
Equation at the end of step
2
:
3xy2 • -5x2y
STEP
3
:
Multiplying exponential expressions :
3.1 x1 multiplied by x2 = x(1 + 2) = x3
Multiplying exponential expressions :
3.2 y2 multiplied by y1 = y(2 + 1) = y3
I believe the answer is ( -3•5x3y3)
The initial fee of $50 is essentially the y intercept because this is the value when x = 0 (x is the number of labor-hours). So b = 50.
The slope is m = 30 because each increase of 1 hour leads to the cost bumping up by 30 dollars. In other words, slope = rise/run = (change in cost)/(change in hours) = 30/1
So we plug m = 30 and b = 50 into the y = mx+b formula to get y = 30x+50
Replace y with f(x) to get f(x) = 30x+50
The linear function for the cost is f(x) = 30x+50
Note: Some books may use other letters (instead of x and f(x)), but the idea is still the same
Once you know the cost function, you replace x with 4.5 to find the amount it will cost to have a painter work for 4.5 hours.
f(x) = 30x+50
f(4.5) = 30*4.5+50
f(4.5) = 135+50
f(4.5) = 185
It will cost 185 dollars to have the painter work for 4.5 hours
5 multiplied by .3 is 1.5
1.5 + 18.5 = 20.
y = 9.25
The factors of the expression is 2and -3
