Answer:
(a) There are asymptotes at x=3/2 and x=-1/3
Step-by-step explanation:
The denominator zeros can be found by factoring:
f(x) = (x +1)/((2x -3)(3x +1))
Neither of the denominator factors is cancelled by the numerator factor, so each represents a vertical asyptote, not a function hole.
The asymptotes are at the values of x where the denominator is zero:
2x -3 = 0 ⇒ x = 3/2
3x +1 = 0 ⇒ x = -1/3
Answer:
<u>Point C at (-18/7)</u>
Step-by-step explanation:
Point A is at -6 and point B is at 2.
So, the distance between A and B = 2 - (-6) = 8
point C on the directed line segment from A to B on a number line such that the segment is partitioned in a ratio of 3:4.
Let the distance AC = x
∴ BC = 8 - x
AC : CB = 3 : 4
∴
Using cross multiplication
3 (8-x) = 4x
24 - 3x = 4x
24 = 7x
x = 24/7
So, Point C = -6 + 24/7 = -18/7
Point C at (-18/7)
Answer:
-13/5
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
-6-7/2-(-3)
-13/5
Best of Luck!
That diagram can be split into a right angled triangle of base 7 and of height 4 + 5.2 + 2 = 11.2, and a square of length of 5.2 So the are of the total shape is the area of the right angled triangle + the area of the square.
=

Please mark me as brainliest.
Answer:
C
Step-by-step explanation:
0 ≤ h ≤ 40, h ∈ R
Hope this helps :)