Answer:43, 38, 33
Step-by-step explanation:
The pattern is subtracting 5
63 -5 = 58
58 - 5 = 53
53 - 5 = 48
48 - 5 = 43
43 - 5 = 38
38 - 5 = 33
I believe you have to use power rules for these so for the numerator (x^5yz^4)^3 the power outside of the bracket will multiply with the powers inside the bracket in order to simplify this part so the numerator of the fraction would be x^15y^3z^12 (because 5x3=15, 1x3=3, 4x3=12)
Next simplify the fraction this is done by subtracting the powers so x^15y^3z^12/x^3yz =x^12y^2z^11 (because any singular letter term ie y can also be seen as y^1, using this 15-3=12, 3-1=2, 12-1=11) this is your final answer so a=12 b=2 and c=11
The total price for the meal is $79.69
20% of $63 is $12.6
And 6.5% of $63 is $4.09
$4.09+$12.6+$63=$79.69
Answer:
The relationship is positive.
The model predicts a score of 60.
Not sure what part b is.
Step-by-step explanation:
Since while the money spent on advertising increases while the items sold increases, we have a positive relation between both variables.
By looking at where 30 is on the graph, we can see it lines up with 60,the middle between $40 and $80 on the y axis and so we know this is the cost associated with this value.
The dimensions that would result to maximum area will be found as follows:
let the length be x, the width will be 32-x
thus the area will be given by:
P(x)=x(32-x)=32x-x²
At maximum area:
dP'(x)=0
from the expression:
P'(x)=32-2x=0
solving for x
32=2x
x=16 inches
thus the dimensions that will result in maximum are is length=16 inches and width=16 inches