Which one is the positive slope A.) (2,-3,) and (1,-2), B.) (0,0) and (3,-3), C.) (-1,-1) and (5,4) , D.) (-3,0), (9,0)
bagirrra123 [75]
Answer:
C.
Step-by-step explanation:
Use slope = (y2-y1)/(x2-x1).
slope = (4 - -1)/(5 - -1)
slope = 5/6, positive
Hope this helps!
Answer:
The average velocity the entire trip was 43.25 mi/h
Step-by-step explanation:
In this case we have to calculate an average based on the miles traveled. First we have to calculate the total of miles traveled, then calculate the portion of the total travel of each and with this calculate the average speed during the trip. First the total miles traveled:
Now the percentages:
At 57 mi/h were 
At 44 mi/h were 
At 37.8 mi/h were 
Now multiplying the speed by the portion and summing them we can have the average velocity:
The average velocity the entire trip was 43.25 mi/h
Step-by-step explanation:
they're is a neat little trick.
but first of all, "roots" means the 0 solutions of the equation. like
ax² + bx + c = 0
there are 2 solutions for x to make the whole expression equal 0.
these are the "roots".
now to the little trick :
when is a multiplication resulting in 0 ?
when at least one of the factors is 0.
and any quadratic expression can be written as multiplication of 2 factors. like
c(x - a)(x - b) = cx² - cax - cbx + cab
what are the "roots" or 0 points ?
either
c = 0
x - a = 0 | x = a
x - b = 0 | x = b
the leading coefficient = 3.
that means nothing else than c = 3.
root = 1 means (x - 1) is one factor.
root = -5 means (x + 5) is the other factor.
so, we have
3(x - 1)(x + 5) = 3x² + 12x - 15
and the equation is
3x² + 12x - 15 = 0
or
3x² + 12x = 15
Answer:
x = 7
Step-by-step explanation:
=> 9/72 = 3x-20/56
=> 9×45/72 = 3x-20
=> 27/3 = x
=> x = 7
Answer:
the answer would be 2/5
Step-by-step explanation:
you add up all of the boys to get 8
there are, in total 20 students that can be chosen, so there is an 8/20 chance that it would be a boy, simplified that is 2/5
