Answer:
a) min: 0; max: 21
b) min: 34; max: 55
Step-by-step explanation:
In the attached Venn diagrams (part c), the overlap of the two circles represents the number on both teams.
a) In the top diagram, there is no overlap, so the number on both teams is 0.
In the bottom diagram, there is complete overlap between the teams, so the maximum number that play both sports is 21 (the minimum team size of the two teams).
both teams minimum: 0; maximum: 21
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b) The number on neither team is the number outside both circles. The minimum number will correspond to the case where there is no overlap between teams. In that case, there are 66 team players, so 34 people who are on neither team.
The maximum case is that where the teams completely overlap, so the number not on either team will be those not on the football team: 55 people.
neither team minimum: 34; maximum: 55
Answer:
The graph and the number line in the attached figure
Step-by-step explanation:
we have
Solve for x
subtract 7 both sides
Divide by -2 both sides
Remember
When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol
so
The solution is the interval (-8,∞)
All real numbers greater than -8
In a number line the solution is the shaded area at right of x=-8 (open circle)
The graph and the number line in the attached figure
h = 6 cm
The formula for the volume of a rectangular prism is . In order to figure out the height you need to divide
from both sides of the equation. As a result, you'd get
. Then you'd rearrange the equation so that it's
.