Answer: increasing = [-4, ∞)
decreasing = Never
positive = Never
negative = [-4, ∞)
<u>Step-by-step explanation:</u>
The curve is increasing starting at x = -4 and appears to have an asymptote at y = 0 so never crosses the x-axis.
It never decreases and never goes past y = 0 so is never positive.
(x + 1) / 5 = (x + 5) / 7
cross multiply
(x +1) x 7 = 5 x (x + 5)
7x + 7 = 5x + 25
take the like terms to one side
7x - 5x = 25 - 7
2x = 18
divide by 2 to isolate x
2x / 2 = 18 / 2
x = 9
check:
9 + 1 / 5 = 9 + 5 / 7
10 / 5 = 14 / 7
2 = 2
mode = 43
the mode is the value which occurs most
43 occurs 3 times, 38 twice and the others only once
Hence 43 is the mode
9≤c + 1
In this question we will first solve for the variable. ( i.e. c )
so,
subtracting both sides by 1 we get
8 ≤ c
or
c ≥ 8
And we know that if we have ≤ or ≥ we have a HARD dot on the point.
So, our graph will start from point 8 goes to the right.
hope this helped.. :)
Similar triangles may or may not have equal measures
Allie's error is that Allie did not state the similarity theorem
<h3>How to determine
Allie's error </h3>
The statement JKL ~ XYZ means that:
Triangles JKL and XYZ are similar triangles
From the complete question, we have the following highlights:
- Angles J and X have equal measures of 55 degrees
- The side lengths of triangle XYZ are 3 multiplied by the corresponding side lengths of triangle JKL
The above means that, both triangles are similar by SAS or SSS
In Allie's statement, the similarity theorem is not stated
Hence, Allie's error is that Allie did not state the similarity theorem
Read more about similar triangles at:
brainly.com/question/14285697
