Answer:
x = 12
Step-by-step explanation:
Answer:
33 - 27 =<u> </u><u>6</u>
Step-by-step explanation:
Answer:
a) For a constant increment in x-variable, there is a constant increment in y-variable, for example, for x = 0 to x = 0.5 (increment = 0.5) y-variable goes from 60 to 62 (increment = 2); the same is valid for any couple of (x,y) values. This behaviour is characteristic of linear equations.
b) slope:
m = (increment in y-variable)/(increment in x-variable) = 2/0.5 = 4
y-intercept:
y1 = m*x1 + h
60 = 4*0 + h
60 = h
equation: y = 4x + 60
where y represents scores and x represents hours spent studying
c) The slope indicates that you need to study 1 hour to increase your score in 4 points
The y-intercept indicates that you will get at least a score of 60, even though you hadn't studied
Answer:
1 3/4
Step-by-step explanation:
you have to convert the mixed numbers into improper fractions first
2 1/2 turns into 5/2
then you make the denominators the same
5/2 turn into 10/4
then you subtract
10/4 - 3/4 = 7/4
then you turn it into a mixed number
7/4 turns into 1 3/4
You can't make a triangle with those lengths for sides.
The way I look at it is like this:
-- Take 2 sticks ... lengths 4 and 2 ... and connect them together at one end.
-- The farthest they can reach, if they're opened up completely and pointing
in opposite directions, is a distance of 6 .
-- They can't reach the ends of a stick that is 7 long. So you can't make
a triangle with those 3 sticks.