I'm not 100% sure on the first one but on the second I can help you out. How would you characterise the relationship? All it is, is that the more hours were spent studying, the higher the score will be.
Paul's function. Since the x values are hours of study all you must do is sub 3 for x in the equation giving you y = 8(3) + 40 = 24 + 40 = 64
What does the 40 mean? This in a straight line is the y-int so all its saying is that no matter how much study Paul does, he will at least get 40 marks.
Hope this helped :)
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Answer:
TRUE
Step-by-step explanation:
When all sides are the same length, at least one pair of sides is the same length.
Technically speaking, because the way you have the question written, in words the equation would be said as y equals one-thirds multiplied by the absolute value of x, then minus two. Properly saying as y equals two less that the product of one-third and the absolute value of x.
The absolute value is the distance away from 0 therefor the value would alway equal as a positive value. EX1: |21| = 21 EX2: |-21| = 21
even if you considered -2 within y=1/3|x|-2 as -2 being negative two instead of minus two, then it would be the same meaning in the case that you have written out in a mathematical equation format, but really because -2 comes after 1/3|x| and -2 is not in parenthesis then it would make more since to say minus two.
7000 ÷ 205 = <span>34.146.......
So the owner does have enough crates. In fact he will have some extra's in the end.
Hope I helped ya!!☺☺☺☺☺☺☺☺</span>
Answer:
The air speed of the plane is 90 km/hr. and the wind has a speed of 15 km/hr.
Step-by-step explanation:
The plane travels 720 km in 6 hours in the direction of the wind and it takes 8 hours to make the round trip.
If we assume that the speed of the plane is u km/hr. and that of wind is v km/hr.
Therefore, we can write
........ (1)
And
..... (2)
If we add those two equations, then 2u = 210, ⇒ u = 105 km/hr.
Again from equation (2), we get v = u - 90 = 105 - 90 = 15 km/hr.
Therefore, the airspeed of the plane is 90 km/hr. and the wind has a speed of 15 km/hr. (Answer)