Answer:
Step-by-step explanation:
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 3
B = -2
C = -10
B2 - 4AC =
4 - (-120) =
= 124
Applying the quadratic formula :
2 ± √ 124
x = —————
6
√ 124 simplified
The prime factorization of 124 is
2•2•31
To be able to remove something from under the radical, there have to be 2 instances of it
√ 124 = √ 2•2•31 =
± 2 • √ 31
√ 31, rounded to 4 decimal digits, is 5.5678
So now we are looking at:
x = ( 2 ± 2 • 5.568 ) / 6
Two real solutions:
x =(2+√124)/6=(1+√ 31 )/3= 2.189
or:
x =(2-√124)/6=(1-√ 31 )/3= -1.523
x+y=4
-x+y=2
We solved this equations system by reduction method:
x+y=4
-x+y=2
-----------------
2y=6 ⇒y=6/2=3
x+y=4
-(-x+y=2)
---------------
2x=2 ⇒x=2/2=1
answer: x=1; y=3
substitution method
x+y=4
-x+y=2
x=4-y
-(4-y)+y=2
-4+2y=2
2y=2+4
2y=6
y=6/2=3; then x=4-y=4-3=1
answer: x=1; y =3
equalization method
x+y=4 ⇒y=4-x
-x+y=2 ⇒y=2+x
Therefore:
4-x=2+x
-x-x=2-4
-2x=-2
x=-2/-2=1; then; y=4-x=4-1=3
Answer: x=1; y=3.
The answer is not 12.
The ratio of the arc to the angle equals the ratio of the circumference to 360°.
Then 3/30° = circumferece / 360°
3/30 = x / 360 => x = 360 * 3/30 = 36 units.
Answer: 36 units
Answer:
144π
Step-by-step explanation:
Area = π r^2
Area = π 144
Area = 144π or 452.39
Answer:
$13
Step-by-step explanation:
Given that :
Increase in salary factor = 11/10
New salary = $14.30
Initial salary = x
To obtain the value of the initial salary,
The product of the scale factor by the initial salary sgiuf give the amoi tof the new salary
11 / 10 * x = 14.30
1.1x = 14.30
x = 14.30 / 1.1
x = $13
Hence.initial salary per hour = $13