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Model each rule with a table of values and a graph.
1. f(x) = x+1
2. f(x)=2x
3. f(x)=3x-2
4. f(x)=3/2x-2
7. f(x)=-x^2+1
Prove Let D be a nontrivial connected digraph. Then D is Eulerian if and only if od(v)=id(v) for every vertex v of D. Od means the outdegree of a vertex v of a digraph D. (is the number of vertices of D that are adjacent from v.
a ladder that leans against a building makes an angle of 75 degrees with the ground and reaches a point of the ladder 9.7 feet above the ground. find to the nearest meter the length of the ladder.
How good is the fit provided by the estimated regression equation? (Excellent, moderate, or not a good fit)
to earn a B in your algebra class, you must achieve a test average 84 and 86, inclusive. you score 86,85,80 on the first three tests. what possible scores can you earn on the fourth and final test to earn a B in the course.
What is the probability that all four share the same birthday? What is the probability that none of the four shares the same birthday?
A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 1 in every one thousand. State the null hypothesis and the alternative hypothesis for a test of significance.
write a system of inequalities that models the possible dimensions of the garden
a twin-engine aircraft can fly 768 miles from city a to city b in 3 hours with the wind and make the return trip in 8 hours against the wind. What is the speed of the wind?
Two pens and a pencil have a total length of 49 cm. Four pens and a pencil have a total length of 77cm. What is the total length of seven pens and a pencil?
A graph is outerplanar if it can be embedded in the plane so that every vertex lies on the boundary of the exterior region. Prove the following:
Deluxe coffee costs $6 per pound and regular coffee $5 per pound. How many pounds of each kind of coffee should be used to minimize costs?
At noon, ship A is 60 km west of ship B. Ship A is sailing south at 15 km/h and ship B is sailing north at 5 km/h. How fast is the distance between the ships changing at 4:00 PM? (Round your answer to one decimal place.)
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