Answer:
Step-by-step explanation:
A. The first inequality is graphed as a shaded area below the solid line with x-and y-intercepts of 7.5 and 5, respectively. The second inequality is graphed as a shaded area above the solid line with x- and y-intercepts of 3.
The solution set is the set of integer-valued grid points one or between the lines.
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B. The point (5, 1) is included in the solution area. Mathematically, it can be shown to satisfy the two inequalities:
2(5) +3(1) ≤ 15 ⇒ 13 ≤ 15 True
(5) +(1) ≥ 3 ⇒ 6 ≥ 3 True
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C. The point (5, 1) is in the solution set. It means Michael can purchase 5 sandwiches and 1 hot lunch within his budget constraints. That will provide 6 meals, which is more than the minimum of 3 that he wants to provide.
Hey!
To solve this equation, we'd first have to apply the distributing rule to this equation.
<em>Original Equation :</em>
<em>New Equation {Changed by Applying the Distribution Rule} :</em>
· 3a · 2 +
And now we simplify.
<em>Old Equation :</em>
· 3a · 2 +
<em>New Equation {Old Equation Simplified} :</em>
- 12a + 4
<em>So, the equation
simplified is</em>
- 12a + 4.Hope this helps!
- Lindsey Frazier ♥
2:3
6 ÷ 2 = $3 (cost of 1 pack of butter cookies)
3 x 3 = 9 (cost of 3 packs of butter cookies)
17 - 9 = 8 (cost of 4 packs of chocolate cookies)
8 ÷ 4 = 2 (cost of one pack of chocolate cookies)
Both of your answers are correct. In the first equation, if you were to substitute 3 for x, because you have to do exponents first, you have 3^2, which is 9, and 9*6 =54. If you were to substitute -3 for x again you would have to do the exponents first which would be -3^2 which is 9, and 9*6 = 54.
For the second question, if I substitute 0.75 for t, I get -9 + 18 + 7. This is equal to 16, and therefore the answer would be D. Hope this helps! :D. Let me know if you have questions about my explanation, and feel free to post more questions.
