Answer: Δx = 0.5
Step-by-step explanation:
We have the interval:
[−3, −1]
and we partition it into 4 equal intervals.
first, the range of our interval is equal to the difference between the extremes, this is:
-1 - (-3) = -1 + 3 = 2
Then, if we divide it into 4, we have 4 segments with a range of:
2/4 = 0.5
Then the subinterval delta is 0.5, and the 4 intervals are:
[−3, -2.5], [−2.5, −2], [−2, −1.5], [−1.5, −1]
Answer:
-15.
Step-by-step explanation:
Arithmetic sequence:-
t2 = a + d
= -19 + 4
= -15.
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
and to get it, we simply need two points off of the straight line, hmm let's use the ones in the picture below.

Answer: the wise man is 79
Step-by-step explanation:
400 - 3x = 163
400–163 =3x
237 = 3x or 3x = 237 or x = 79…
The solution is (5, 15)
Multiply the second equation by 2 and then add through.
3x + 2y = 45
8x - 2y = 10
-----------------
11x = 55
x = 5
Then plug in to get the y value
3(5) + 2y = 45
15 + 2y = 45
2y = 30
y = 15