<em><u>The intervals included in solution are:</u></em>
<em><u>Solution:</u></em>
Given that,
A boat tour guide expects his tour to travel at a rate of x mph on the first leg of the trip
On the return route, the boat travels against the current, decreasing the boat's rate by 10 mph
The group needs to travel an average of at least 24 mph
<em><u>Given inequality is:</u></em>
<em><u>We have to solve the inequality</u></em>
When we multiply or divide both sides by negative number, then we must flip the inequality sign
This is attached as figure below
From the attached table,
<em><u>Therefore, solution set is given as</u></em>:
A mixed number is a whole number plus a fraction.The smallest whole number is 1.So no mixed number can be less than 1.
Mixed numbers that are 1/3 apart and are between 0 and 2
could be (1-1/3) and (1-2/3).
They could also be (1-1/6), (1-1/2), and (1-5/6) .
Answer:
3. Adrian kept an eye on the basketball game score by looking online every 10 minutes. Over the course of
2 hours, 4 times Adrian’s favorite team was ahead by 3 points, and 4 times Adrian’s favorite team was behind
by 4 points. All other times, the two teams were tied.
(a) What is the average score of Adrian’s favorite team relative to its opponent using the observations
Adrian made during the game? Show your work neatly.
(b) Explain what this value means about Adrian’s favorite team’s performance
Step-by-step explanation:
Û = (-1, -1, -1)
^v = (2, 3, -5)
^v - û = (2 + 1, 3 + 1, -5 + 1) = (3, 4, -4)
Half way from ^v to ^(v - u) = ((3 - 2)/2, (4 - 3)/2, (-4 + 5)/2) = (1/2, 1/2, 1/2)
Halfway from û to ^v = ((2 + 1)/2, (3 + 1)/2, (-5 + 1)/2) = (3/2, 2, -2)
The required vector ^w = ((3/2 - 1/2), (2 - 1/2), (-2 - 1/2)) = (1, 1/2, -5/2)
