(xy=x times y just fyi)
bought bike for 368.9
this was including sales tax of 8.5%
(percent means part out of 100 so 8.5%=8.5/100=0.85/10= 0.085/1 1=0.085)
so paid=price+tax
paid=368.9
price=p
tax=p times 8.5%=0.085
368.9=p+p times 0.085
368.9=p+0.085p
or
p+0.085p=368.9
the answer is C
Start with #47. To find the critical values, you must differentiate this function. x times (4-x)^3 is a product, so use the product rule. The derivative comes out to f '(x) = x*3*(4-x)^2*(-1) + (4-x)^3*1 = (4-x)^2 [-3x + 4-x]
Factoring this, f '(x) = (4-x)^2 [-3x+4-x]
Set this derivative equal to zero (0) and solve for the "critical values," which are the roots of f '(x) = (4-x)^2 [-3x+4-x]. (4-x)^2=0 produces the "cv" x=4.
[-3x+ (4-x)] = 0 produces the "cv" x=1. Thus, the "cv" are {4,1}.
Evaluate the given function at x: {4,1}. For example, if x=1, f(1)=(1)(4-1)^3, or 2^3, or 8. Thus, one of the extreme values is (1,8).
When working with functions (of all types), the average rate of change is expressed using function notation:
For the interval from x=7 to x=8,
1. find f(7) and f(8):
2. use given formula:
Answer: the average rate of change for the interval from x=7 to x=8 is 4374.
Answer:
x=2, y= 21
Step-by-step explanation:
y = 6x + 9
y = 7x + 7
Since both equations are equal to y, we can set them equal to each other
6x+9 = 7x+7
Subtract 6x from each side
6x+9-6x = 7x -6x+7
9 = x+7
Subtract 7 from each side
9-7 = x+7-7
x=2
Now we need to find y
y = 6x+9
y = 6(2) +9
y = 12 +9
y = 21
