Answer:
<h2>The Possible range for x is : ]8 , 18[</h2>
Step-by-step explanation:
To can draw this triangle if:
4x - (2x - 6) < 42 < 4x + (2x - 6)
solve inequality 1 :
4x - (2x - 6) < 42 ⇔ 2x + 6 < 42 ⇔ 2x < 36 ⇔ x < 18 (1)
Solve inequality 2 :
42 < 4x + (2x - 6) ⇔ 42 < 6x - 6 ⇔ 48 < 6x ⇔ 8 < x (2)
from (1) and (2) we deduce that : 8 < x < 18
Answer: v=42
Step-by-step explanation:
18+(6)(4)
Answer:
The following functions would move the graph of the function to the right on the coordinate plane.
C) 
G) 
Step-by-step explanation:
We need to check for those functions which shows a horizontal shift of graph to the right.
Translation Rules:
Horizontal shift:
If 
the function shifts 
units to the left.
If 
the function shifts units to the right.
Vertical shift:
If the function shifts units to the up.
If the function shifts units to the down.
Applying rules to identify the translation occuring in each of the given functions.
A) 
Translation: 
The translation shows a shift of 2 units to the left and 7 units down.
B) 
Translation: 
The translation shows a shift of 3 units down.
C)
Translation: 
The translation shows a shift of 3 units to the right and 1 units up.
D) 
Translation: 
The translation shows a shift of 4 units up.
F) 
Translation: 
The translation shows a shift of 6 units to the left.
G)
Translation: 
The translation shows a shift of 5 units to the right.
The graph of the function shows that function f(x) => ∞ as x = -∞ and f(x) =>-∞ as x = ∞. Option c is correct.
<h3>What is a graph?</h3>
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Here,
The curve of the function in the 2 quadrants is increasing when x tends to -∞ and in the quadrant, the curve f(x) is decreasing to -∞ as x tends to ∞.
Thus, the graph of the function shows that function f(x) => ∞ as x = -∞ and f(x) =>-∞ as x = ∞. Option c is correct.
Learn more about graphs here:
brainly.com/question/16608196
#SPJ1
Answer:
Area = 45 km
Step-by-step explanation:
The area of a parallelogram = base * height
It is given that:
Base = 6 km
Height = 9 km
When these values are substituted into the are equation, the result is:
Area = 6 * 9
Area = 45 km
Hope this helps :)
