6 less than the product of 3 and a number x
2 answers:
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Answer:
23.05 x 10.85
Step-by-step explanation:
Area of Rectangular Fence = L * W = 250
L * W = 250
W = ................................... (i)
Perimeter = 2L + 2W
Three sides cost 4 dollars per foot = 4(2L) + 4W
(The two lengths must be constructed with the 4 dollars materials)
Fourth side costs 13 dollars per foot = 13W
Cost = 4(2L) + 4W + 13W
C = 8L + 17W ...................................... (ii)
Substitute (i) into (ii)
C = 8L + 17 ()
C = 8L +
Plotting this equation with L on the x-axis and cost on the y-axis
minimum cost will be when L ≈ 23.05 ft
W = ≈ 10.85 ft
minimum cost = 8(23.05) +
minimum cost = 184.4 + 184.382
minimum cost ≈ 368.78 dollars
Answer:
In a system, the substitution method is one of the 3 main ways to solve a system and can be very efficient at times.
<u>Skills needed: Systems, Algebra</u>
Step-by-step explanation:
1) Let's say we are given two equations below:
We can use substitution here by substituting in for in the second equation. This means we put in
for
in the 2nd equation so we only have
variables in the equation, allowing us to solve for
.
2) Solving it out:
We essentially substitute in that value as seen in step 1. Steps 2 and 3 are just simplifying the left side and allowing for us to solve. Step 4 is where we divide by -16 on both sides to solve for x. Step 5 and 6 show us solving for y using the value for x. We get