The correct answer among the given choices is the first one:
“A graph shows Time in hours on the x-axis and Aida’s Distance from Tent
in miles on y-axis. The graph shows three straight lines. The first straight
line joins ordered pairs 0, 0 and 2, 4. The second straight line joins ordered
pairs 2, 4 and 8, 4. The third straight line joins ordered pairs 8, 4 and 9, 0.”
The given ordered pairs is in the format of (t, d) where t is time and
distance is d. Time will always be on the x-axis since it is always an
independent variable.
The first ordered pair should be (2, 4) since it took her 2 hours to
trek to the hilltop. From the given choices, only the 1st and 3rd
choice has this first ordered pairs so we are down to two choices.
Now the second ordered pair should be (8, 4) since she spent 6 hours at
the top but no change in distance. And only the 1st choice has this
value therefore it is the answer.
( - 1, - 8 )
since both equations give y in terms of x we can equate them
3x - 5 = 2x - 6
subtract 2x from both sides of the equation
3x - 2x - 5 = - 6
x - 5 = - 6
add 5 to both sides
x = - 6 + 5 = - 1
substitute x = - 1 into either of the 2 equations for y
y = (3 × - 1) - 5 = - 3 - 5 = - 8
solution to the system is (- 1, - 8 )
Answer:
y = 2x + 16
Step-by-step explanation:
slope is parallel and equal to y = 2x + 6
y intercept = 16
166 hope this helps u with ur homwork
Answer:
dy/dx = x^sin(x) * (sin(x)/x + cos(x) * lnx)
Step-by-step explanation:
∵ y = x^sin(x)
∴㏑y = ㏑(x^sin(x)) = sinx * ㏑x --- by differentiating both sides with respect to x
(1/y)* dy/dx = sin(x)/x + cos(x) lnx
dy/dx = x^sin(x) * (sin(x)/x + cos(x) * lnx)