First, solve the given system of linear equations.
Second, multiply the first equation by 4 (which was an arbitrary choice). Add your result to the 2nd equation.
You should now have the following:
First equation: No change: <span>2x + 7y = 1
Second equation: 4(</span><span>-3x – 4y = 5) = -12x -16y = 20
Solve this new system of linear equations. Do you (or do you not) obtain the same solution as your earlier one?</span>
Answer:
y=3x+5
Since it's already 5 cm we have +5
every month it would go up by 3 cm so we have 3 and x is to represent the # of months.
Answer:
A
Step-by-step explanation:
16+3:19
11+8:19
19=19
Answer:
Step-by-step explanation:
Let x represent the seating capacity
Number of seats = 40+x
Profit per seat = 10 - 0.20x
For maximum number of seats
P(x) = ( 40+x ) ( 10-0.20x )
P(x) = 400+10x-8x-0.2x^2
P(x) = 400+2x- 0.2x^2
Differentiating with respect to ( x )
= 2 - 0.4x
0.4x = 2
x = 2/0.4
x = 5
The seating capacity will be 40+5 = 45
For the maximum profits
40X10+ 9.9 + 9.8 + 9.7 + 9.6 + 9.5 + 9.4 + 9.3 + 9.2 + 9.1 + ... 1.0, 0.9, 0.8, 0.6, 0.5, 0.4, 0.3, 0.2, 0.1
= 400 + an arithmetic series (first term = 0.1, common difference = 0.1, number of terms = 8+ 40 = 48 )
= 400 + (48/2)(2X0.1 + (48-1)X0.1)
= 400 + 24(0.2 + 4.7)
= 400 + 24(4.9)
= 400 + 117.6
= 517.6
= 517.6dollars
The answer to this is that t<span>here is a negative correlation and a causal correlation. The higher the average daily winter temperature the lower your heating bill.</span>