The monthly cost will be $17.14
Step-by-step explanation:
Given that the monthly cost (in dollars) of a long-distance phone plan is a linear function of the total calling time (in minutes) then this can be presented in a table form as;
<u>Time in minutes (x)</u> <u>Cost in dollars (y)</u>
50 $12.55
102 $ 17.23
Take the values as ordered pairs to represent coordinates for points that satisfy the linear function
(50,12.55) and (102,17.23)
Finding the slope of the graph using these points
slope,m=Δy/Δx
m=Δy=17.23-12.55 =4.68
Δx=102-50=52
m=4.68/52 =0.09
Finding the equation of the linear function using m=0.09, and point (50,12.55)
m=Δy/Δx
0.09=y-12.55/x-50
0.09(x-50)=y-12.55
0.09x-4.5=y-12.55
0.09x-4.5+12.55=y
y=0.09x+8.05
So for 101 minutes , the cost will be;
y=0.09*101 +8.05
y=9.09+8.05 = $17.14
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Linear functions : brainly.com/question/11052356
Keyword : linear function
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For number 13,the arrow should be going “<“ way because it is in fraction form and the bigger the number the smaller the pieces. This repeats for the rest of the questions so for number 14,the answer is “=“,and for number 15 it is “>”
Answer:
35 cm ^2
Step-by-step explanation:
5x5 = 25
5-3 = 2
5x2 = 10
25+10 = 35cm^2
Order your terms by the powers of exponents in decreasing order (as is the case with pure number division hundreds, tens, ones, tenths, etc, etc) as x^n, x^n-1 etc...
(-x^4+1)/(x-1)
-x^3 rem -x^3-1
-x^2 rem -x^2-1
-x rem -x-1
-1 rem 0
(x-1)(-x^3-x^2-x-1)
(x-1)(-x^3-x-x^2-1)
(x-1)(-x(x^2+1)-1(x^2+1))
(x-1)(-x-1)(x^2+1)
Well, if you say it's A... But that does make sense. Using the triangle inequality theorem, there is only one triangle you can make from that.
