Answer:
Step-by-step explanation:
Hello,
we need to find x so that
|2x-1|=|4x+9|
and we know that |x|=x if x >= 0 -x otherwise
2x-1=0 <=> 2x=1 <=> x = 1/2
4x+9=0 <=> 4x=-9 <=> x = -9/4
So we need to work in three different intervals
case 1: x <= -9/4 ( <= 1/2)
so |2x-1| = -(2x-1) = -2x+1
and |4x+9| = -4x-9
so we need to solve -2x+1=-4x-9<=> 2x=-9-1=-10 <=> x = -5
case 2: -9/4 <= x <= 1/2
so |2x-1| = -(2x-1) = -2x+1
and |4x+9| = 4x+9
so we need to solve -2x+1=4x+9<=> 6x=1-9=-8 <=> x = -8/6 = -4/3
case 3: -9/4 <= 1/2 <= x
so |2x-1| = 2x-1
and |4x+9| = 4x+9
so we need to solve 2x-1=4x+9<=> 2x=-1-9=-10 <=> x = -10/2 = -5
Finally, the solutions are -5 and -4/3
to verify, you can see below the graph of the two functions
Let x= hours spent job A
let y= hours spent job B
14x + 12.50y = 600
x + y = 45
x=-y +45
14(-y+45) + 12.5y = 600
-14y + 630 + 12.5
-1.5x + 630 = 600
-1.5x=-30
x=20
(20) + y = 45
y= 25
20 hours job A, 25 hours job B
The percentage commission of the sale price will be found as follows:
Selling price=$18,250
Commission received=$693.5
%ge commission= (commission)/(selling price)×100
=693.5/18250×100
=3.8%
Answer: 3.8% commission
Another way to summarize this proof is to say vertical angles are congruent.
<h3>Vertical angles</h3>
Lines are shortest distance between two point and angles are forned from the intersection of two lines.
From the given figure, they are trying to prove that the angles ANR and VNE are equal. Since these angles are formed at the point of intersection, hence another way to summarize this proof is to say vertical angles are congruent.
Learn more on vertical angles here: brainly.com/question/14362353
#SPJ1
Answer:
-9
Step-by-step explanation:
Given
See attachment for number line
Required
What does the arrow integer
Represent the value of the arrow with x.
The arrow is on number -9.
This number is what the arrow represents.
Hence:
