4N + 3N = 35
7N=35
Divide both sides by 7
N = 5
hello
the points given are (-4, 47) and (2, -16)
let's find the intercept of this equation
now, since we know the value of the slope, we can use that in the standard equation on a straight line
the standard equation of a straight line is given as
we can pick any of the points and solve for intercept
let's use (2, -16)
now we know the value of intercept (c) = 5 and the slope (m) = 21/2
let's use this to write equation of the straight line
from the calculations above, the equation of the straight line is given as y = -21/2x + 5
Steps
Step 1: For each (x,y) point calculate x2 and xy.
Step 2: Sum all x, y, x2 and xy, which gives us Σx, Σy, Σx2 and Σxy (Σ means "sum up")
Step 3: Calculate Slope m:
m = N Σ(xy) − Σx Σy N Σ(x2) − (Σx)2
Step 4: Calculate Intercept b:
b = Σy − m Σx N.
Step 5: Assemble the equation of a line.
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Answer:</h3>
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Step-by-step explanation:</h3>
We can let the variables A and B stand for the length in inches of fish A and fish B, respectively.
If we assume each person bought fish having a total length of 1 inch per gallon of aquarium, then we can write equations ...
... 3A +2B = 33 . . . . . total length of Marta's fish
... 3A +4B = 45 . . . . . total length of Hank's fish
Subtracting the first equation from the second, we get ...
... 2B = 12
... B = 6 . . . . . divide by 2
Using this value in the first equation, we have ...
... 3A + 2·6 = 33
... 3A = 21 . . . . . . . . subtract 12
... A = 7 . . . . . . . . . . divide by 3
Fish A is 7 inches long; fish B is 6 inches long.