Answer:
O No
Explanation:
Given equation: y = 13x + 12
To check if (2, 8) is a solution of the given equation.
Substitute x and y value in equation and check if it is true.
(x, y) = (2, 8)
simplify
This following statement is false and hence (2, 8) is not a solution.
QUESTION A
The given inequality is
Add 1 to both sides of the inequality to obtain;
Answer: 2. , open dot at 6 and shaded to the right.(A)
QUESTION B.
The given inequality is .
Divide both sides by 2;
.
.
Answer: 5. , closed dot at 3 and shaded to the left(B).
QUESTION C
The given inequality is
Add 7 to both sides to get;
Answer: 7. , open dot at 3 and shaded to the right.(C)
QUESTION D
We want to solve;
Divide through by -2 and reverse the inequality sign;
Answer; 3. Open dot at -3 and shaded to the right. (D)
QUESTION E
We have
Divide through by -4 and reverse the sign.
or
Answer: 6. open dot at -1, and shaded to the left(E)
QUESTION F
The given inequality is
Add -3 to both sides to get;
Divide both sides of the inequality by -2 and reverse the sign;
Answer:9. , open dot at 5 and shaded to the right(F)
QUESTION G
The given inequality is
Divide by 5
Answer ; 10. , closed dot at 2 and shaded to the right(G)
QUESTION H
We have
Expand the bracket to get;
Group similar terms to get;
Simplify
Divide through by -5 and reverse the sign;
Answer: 1. Open dot at 18/5 and shaded to the left(H)
QUESTION I
We have .
Divide by -2 and reverse the sign;
Answer: 8. , open dot at 1 and shaded to the right(I)
J. The given inequality
Expand the bracket to get;
Group like terms to get;
Divide by -1 and reverse the sign to get;
Answer; 4. , open dot at 5 and shaded to the left.(J)
It is convenient to let a spreadsheet or graphing calculator do the math for this. Functions can be defined for cost and profit, and evaluated at each of the volumes of interest.
a1) For 200 cars, the Outside location yields the greatest profit
a2) For 300 cars, the City location yields the greatest profit
b) The sites yield the same profit for a volume of 278 cars.
