Answer:
The new population of fishes
Step-by-step explanation:
The dot product of a and p means the multiplication of the two sets giving the total fishes. The group a represents the number of female fishes, for example a=[6,7,8] . p=[15,35,20]
a represents the number of fishes in the age group 6 is the number 1 year old female fishes, 7 is the number 2 to 4 year old fishes and 8 is the number of 4 year old fishes.
p represents the number of off spring a single fish produces. 1 year old female fish produces 15 off springs in the summer, 2 to 4 year old female fish produces 35 off springs and above 4 year old fish produces 20 off springs.
If we multiply the two sets and add the product we will get the total number of fishes in the summer.
Solution:
Given expression is 
.
To simplify the expression 
Let us first convert the mixed fraction into improper fraction.
Take LCM for the denominators (LCM of 4, 8 = 8) and make the same.
Now, divide 51 by 8 and again write it in the mixed fraction.
Hence, the simplified answer is 
.
Z=1.5
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Answer:
5x + 14y
Explanation:
−4x+6y−(−9x−8y)
Distribute the Negative Sign:
= −4x+6y+−1(−9x−8y)
= −4x+6y+−1(−9x)+−1(−8y)
= −4x+6y+9x+8y
Combine Like Terms:
= −4x+6y+9x+8y
= (−4x+9x)+(6y+8y)
= 5x + 14y
Parallel = same slope
Slope would be 1/4
Pass through (0,0)
Solution: y = 1/4x
