Answer:
The number of soda battles the machine can make per minute is 40
Step-by-step explanation:
What we simply want to do here is to use the two marked points to get the number of soda bottles made per minute
Mathematically, what we have to do here is to
use the two point slope equation
we have this as;
m = (y2-y1)/(x2-x1)
(x1,y1) = (3,120
(x2,y2) = (5,200)
m = (200-120)/(5-3) = 80/2 = 40
It’s a bc:AB and BC don’t form a line and share an endpoint
Answer:
large jar
Step-by-step explanation:
large jar= £1.54 (divide) 440= 0.0035
small jar= £1.26 (divide) 340= 0.0037
as the large jar cost less (0.0035 > 0.0037) the large jar is the best value for money
Answer: -287
Step-by-step explanation:
The given pattern: 9, 1, -7, -15, ….
We observe that ,
First term : a=9
Common difference between the terms= 1-9=-8
For Arithmetic sequence , the formula to find the nth term is given by :-

Then, 38th term will be :-

Hence, the 38th term of the sequence.= -287
Answer:
(x−5y)(9x+8)
Step-by-step explanation:
9x^2−45yx+8x−40y
Do the grouping 9x^2−45yx+8x−40y=(9x^2−45yx)+(8x−40y), and factor out 9x in the first and 8 in the second group.
9x(x−5y)+8(x−5y)
Factor out common term x−5y by using distributive property.
(x−5y)(9x+8)