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.
__
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
__
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.
Answer:
Step-by-step explanation:
the median is the line inside the box which is 84
450 >_ 750 - 70x
450 >_ 750 - 70x
(subtract 750 on both sides)
-300 >_ -70x
(divide by -70 to get x alone, then flip the inequality sign)
4 2/7 <_ x
(round up to 5, you can’t have 2/7 of a person)
at least 5 people have to get off
hope this helped!
Answer:
Equation of the circle is :
Step-by-step explanation:
Let us consider the image attached in the answer area.
The center<em> O</em> has the co-ordinates i.e. <em>(-5,2)</em> and the diameter given is <em>12 units</em>.
We know that radius is half of diameter.
The equation for circle given the center and radius, can be represented as:
Where <em>(a,b)</em> is the co-ordinate of center and <em>r</em> is the radius.
Let us consider the following formula:
Hence, Equation of the circle is :