Answer
The points of intersection of the ellipse and its major axis are called its vertices. Here the vertices of the ellipse are A (a, 0) and A′ (− a, 0).
Step-by-step explanation:
The scale given (1 in : 1/2 ft) implies that 1 inch on the model is equal to 1/2 foot on the actual ship. Therefore, we can multiply the two inch values by 1/2 foot to find the true dimensions of the ship in feet. Starting with 28 inches:
28 × (1/2 ft) = 14 ft
28 inches is proportional to 14 feet. Now calculate 65 inches:
65 × (1/2 ft) = 32.5 ft
65 inches is proportional to 32.5 feet. Therefore, the answer to this problem is:
D) 14 ft. by 32 1/2 ft.
I hope this helps!
Answer:
Step-by-step explanation:
The graph that represents the function
f(x) = (x + 4)(x + 1)(x - 3)
crosses the x-axis three times: at x = -4, x = -1, and x = 3
because we apply the zero product rule and found the roots -4, -1, and 3
x+ 4= 0 → x = -4
x+1 = 0 → x = -1
x-3 = 0 → x = 3
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.