Answer:
a. (3,11) (4,15) (5,19) (6,23)
b. it's not proportional because b (from y=mx+b) is not 0
c. the equation is y = 4x - 1
d. graph the y-int (-1) on the y-intercept and then connect the points in a.
Step-by-step explanation:
Answer:
The range is from 147 to 153 orders per day
Step-by-step explanation:
orders varies by 2% means that orders can be LOWER THAN THE AVERAGE, or HIGHER THAN THE AVERAGE.
That is, by 2%.
First, we need to find the decimal of 2%, so
2/100 = 0.02
We multiply this with the average number of order, 150, to get the varying amount:
0.02 * 150 = 3
Thus, the range would be:
150 - 3 = 147
150 + 3 = 153
The range is from 147 to 153 orders per day
Answer:
going down the picture
45
36
250
546
216
60
Step-by-step explanation:
Answer:
(a) 144
(b) 117
(c) 360
(d) 588
(e) 5472
Step-by-step explanation:
To find the LCM of two numbers, first find the prime factorization of each number. Then the LCM is the product of common and not common factors with the larger exponent.
2.
(a)
![72 = 2^3 \times 3^2](https://tex.z-dn.net/?f=72%20%3D%202%5E3%20%5Ctimes%203%5E2)
![144 = 2^4 \times 3^2](https://tex.z-dn.net/?f=144%20%3D%202%5E4%20%5Ctimes%203%5E2)
![LCM = 2^4 \times 3^2 = 8 \times 9 = 144](https://tex.z-dn.net/?f=LCM%20%3D%202%5E4%20%5Ctimes%203%5E2%20%3D%208%20%5Ctimes%209%20%3D%20144)
(b)
![39 = 3 \times 13](https://tex.z-dn.net/?f=39%20%3D%203%20%5Ctimes%2013)
![117 = 3^2 \times 13](https://tex.z-dn.net/?f=117%20%3D%203%5E2%20%5Ctimes%2013)
![LCM = 3^2 \times 13 = 117](https://tex.z-dn.net/?f=LCM%20%3D%203%5E2%20%5Ctimes%2013%20%3D%20117)
(c)
![72 = 2^3 \times 3^2](https://tex.z-dn.net/?f=72%20%3D%202%5E3%20%5Ctimes%203%5E2)
![90 = 2 \times 3^2 \times 5](https://tex.z-dn.net/?f=90%20%3D%202%20%5Ctimes%203%5E2%20%5Ctimes%205)
![LCM = 2^3 \times 3^2 \times 5 = 360](https://tex.z-dn.net/?f=LCM%20%3D%202%5E3%20%5Ctimes%203%5E2%20%5Ctimes%205%20%3D%20360)
(d)
![84 = 2^2 \times 3 \times 7](https://tex.z-dn.net/?f=84%20%3D%202%5E2%20%5Ctimes%203%20%5Ctimes%207)
![147 = 3 \times 7^2](https://tex.z-dn.net/?f=147%20%3D%203%20%5Ctimes%207%5E2)
![LCM = 2^2 \times 3 \times 7^2 = 588](https://tex.z-dn.net/?f=LCM%20%3D%202%5E2%20%5Ctimes%203%20%5Ctimes%207%5E2%20%3D%20588)
(e)
![152 = 2^3 \times 19](https://tex.z-dn.net/?f=152%20%3D%202%5E3%20%5Ctimes%2019)
![288 = 2^5 \times 3^2](https://tex.z-dn.net/?f=288%20%3D%202%5E5%20%5Ctimes%203%5E2)
![LCM = 2^5 \times 3^2 \times 19 = 5472](https://tex.z-dn.net/?f=LCM%20%3D%202%5E5%20%5Ctimes%203%5E2%20%5Ctimes%2019%20%3D%205472)
Answer:
2/4
Step-by-step explanation:
Using a graph, you would start at (-1,2). Next you would move up twice. Then you would move 4 lines to the right. You'll land on (3,4)