Answer: The two equations are:
y = 5x + 40
y = 3x + 60
In each problem, you are given the cost per ride. That is the slope, it goes in front of the x.
Then, you are also given the entry fee. That is the y-intercept, it goes at the end of the equation.
Now, the equations are in slope intercept form. Y = MX + B
Graphing the equations will give an answer of (10, 90)
This means for both plans 10 rides will cost $90.
Answer:
Step-by-step explanation:
1) the rule of transformation [degr → rad] is:
![\alpha [rad]=\alpha [degr] *\frac{\pi }{180};](https://tex.z-dn.net/?f=%5Calpha%20%5Brad%5D%3D%5Calpha%20%5Bdegr%5D%20%2A%5Cfrac%7B%5Cpi%20%7D%7B180%7D%3B)
2) according to the formula above:
230°=230*π/180=23π/18 [rad].
Answer:
The UPC is not valid..
Step-by-step explanation:
The Universal Price Code is represented in the form of bars which is scanned when we purchase something.
The last digit of the UPC is the check digit.
Give UPC = 375407370090
To check whether the UPC is valid or not.
Step 1:
Add the digits at odd positions.
3 + 5 + 0 +3 + 0 + 9 = 20
Step 2:
Multiply the number obtained in step 1 by 3
20*3 = 60
Step 3:
The digits at even positions have to be added. The last digit has to be ignored as it is a check digit.
7 + 4 + 7 +7 +0 = 25
Step 4:
Add the numbers obtained in Step 2 and step 3
60 + 25 = 85
Step 5:
The number obtained in step 5 is subtracted from the next multiple of 10.
In the above case,
85 will be subtracted from 90.
90 - 85 = 5
For a valid UPC, the answer to step 5 is equal to the last digit of UPC.
In the above case, the answer is 5 which is not equal to zero.
So, the UPC is not Valid.
Answer:
In the operation, simplify
9-a² = (3-a)(3+a)
Factorize
4a²-4a-24-------------------divide each term by 4
a²-a-6-------------------------factorize
a²-3a+2a-6
a(a-3)+2(a-3)
(a+2)(a-3)
Factorize
a²-6a+9
a²-3a-3a+9
a(a-3)-3(a-3)
(a-3)(a-3)
Rewrite operation as
Multiply by the recipricol
cancel the similar terms
