Answer:
Step-by-step explanation:
Given Ben's observations when the wait time is as advertised represented by the equation 2|x − 2| − 12 = 0, to get the times when the serving time is as advertised, relative to noon, we will calculate for the value of x in the equation;
Note that the modulus of the function |x-2| will return both positive and negative value.
For the positive value of |x-2|;
2|x − 2| − 12 = 0
2(x − 2) − 12 = 0
open the parenthesis
2x-4 - 12 = 0
2x - 16 = 0
add 16 to both sides
2x-16+16 = 0+16
2x = 16
x = 16/2
x = 8
For the negative value of |x-2|;
2|x − 2| − 12 = 0
-2(x − 2) − 12 = 0
open the parenthesis
-2x+4 - 12 = 0
-2x - 8 = 0
add 8 to both sides
-2x-8+8 = 0+8
-2x = 8
x = -8/2
x = -4
<em>Hence the times when the serving time is as advertised, relative to noon are 8minutes and 4minutes </em>
If 5/8 of the teachers are males, there are 45 male teachers.
Subtract this value from 72 (i.e., find 3/8 of 72), and you will find that there are 27 female teachers.
Answer: 12 + 6b
Step-by-step explanation:
Just times both by 6
Answer:
First angle = x = 35°
Second angle = 2x = 2(35) = 70°
Third angle = 2x+5 = 70 + 5 = 75°
Step-by-step explanation:
<u>Given : </u>
The second angle measures twice the first, and the third angle measures 5 more than the second.
Sum of angles = 180°
<u>Solution : </u>
Let the first angle be x
According to the given question :
Second angles = 2x
Third angle = 2x + 5
we know that Sum of angles = 180°
<u>Solving x value :</u>
x + 2x + (2x+5) = 180°
5x + 5 = 180
5x = 180 - 5
5x = 175
x = 175/5
x = 35
<u>Finding the measure of each angle : </u>
First angle = x = 35°
Second angle = 2x = 2(35) = 70°
Third angle = 2x+5 = 70 + 5 = 75
Answer:given below
Step-by-step explanation:
sqrt x^2 +81= x + 10
x^2 + 81 = (x+10)^2
x^2 + 81 = x^2 + 20x + 100
so answer is:
x^2 + 81 = x^2 +20x + 100
..HOPE IT HELPS YOU...ALL THE BEST
