In order find the Inequalities, First we need to Find the Equations of Both the Lines.
<u>Equation of First line :</u>
It is passing through the Points (0 , 2) and (4 , 0)
⇒ Slope = 
⇒ Equation of the First Line : 
⇒ Equation of the First Line : x + 2y = 4
<u>Equation of Second Line :</u>
It is passing through the Points (1.5 , 0) and (0 , -3)
⇒ Slope = 
⇒ Equation of the Second Line : y + 3 = 2x
⇒ Equation of the Second Line : 2x - y = 3
As the Shaded Area of the First Line is away from the Origin :
⇒ x + 2y ≥ 4
As the Shaded Area of the Second Line is towards the Origin and it is a Dotted line :
⇒ 2x - y < 3
So, the System of Linear Inequalities are :
⇒ x + 2y ≥ 4
⇒ 2x - y < 3
Answer:
Step-by-step explanation:
We have the quadratic function:
And we want to determine its axis of symmetry.
Notice that this is in vertex form:
Where (<em>h, k</em>) is the vertex of the parabola.
From our function, we can see that <em>h</em> = 4 and <em>k</em> = -2.5. Hence, our vertex is the point (4, -2.5).
The axis of symmetry is equivalent to the <em>x-</em>coordinate of the vertex.
The <em>x-</em>coordinate of the vertex is 4.
Therefore, the axis of symmetry is <em>x</em> = 4.
Answer:
It will stay the same
Step-by-step explanation:
You can't add unlike terms
Y = 1/3 x - 10 . . . (1)
2x + y = 4 . . . . . (2)
Putting (1) into (2) gives
2x + 1/3 x - 10 = 4
7/3 x = 4 + 10 = 14
x = (3 x 14)/7 = 3 x 2 = 6
x = 6
From (1), y = 1/3 (6) - 10 = 2 - 10 = -8
y = -8
Answer:
log_10(x) - log_10(100000)
Step-by-step explanation:
