Answer:
x=−4+√13 or x=−4−√13
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Step-by-step explanation:
Answer:
(0,0), or A
Step-by-step explanation:
Given the function { x - 3, y - 1 }:
Answer:
term 1 - term 2 = sequence
so
-17-(-15) = -2
and if you minus the rest by -2 it will give you the next term
-15-(-2) = -13
-13-(-2) = -11
The maximum value of P = x + 6y subject to the constraints is 9
<h3>How to determine the maximum value?</h3>
The objective function is given as:
P = x + 6y
The constraints are given as:
2x + 4y ≤ 10
x + 9y ≤ 12
x≥0 y≥0
Rewrite 2x + 4y ≤ 10 and x + 9y ≤ 12 as equations
2x + 4y = 10
x + 9y = 12
Divide 2x + 4y = 10 through by 2
x + 2y = 5
Subtract x + 2y = 5 from x + 9y = 12
x - x + 9y - 2y = 12 - 5
Evaluate the difference
7y = 7
Divide by 7
y = 1
Substitute y = 1 in x + 2y = 5
x + 2(1) = 5
Solve for x
x = 3
So, we have
(x, y) = (3, 1)
Substitute (x, y) = (3, 1) in P = x + 6y
P = 3 + 6 * 1
Evaluate
P = 9
Hence, the maximum value of P = x + 6y subject to the constraints is 9
Read more about objective function at:
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Answer:
y=2/3x-8
Step-by-step explanation:
The y-intercept is 8 because (0,8) and if you do rise/run for the slope you get 2/3. 0-(-4)/(12-6)=4/6=2/3
Edit:
I just graphed the points you had and then used the slope to go backwards. So I did (-4,6) and went down 2 and left 3 (from the 2/3 slope rise/run), that gives you (-6, 3) and then I did it again I went down 2 and left 3 which gives you (-8,0). The y intercept is where x=0 so then it would be y=-8 as the y-intercept. To find the slope you just subtract the y-values (6-0) for the last 2 and put that answer (6) over the run which you get from subtracting the x values (21-12) again for the last two. That gives you 9 so it is 6/9. If you simply that you get 2/3 because 6/3=2 and 9/3=3. So you divide the top and bottom of 6/9 by 3 to get 2/3 for the slope. I gave the equation in slope-intercept form which is y=mx+b and m=slope, b=y-intercept. Let me know if it still doesn't make sense i don't know how to say it and it won't let me comment
