Answer:
Step-by-step explanation:
x² + x - 2 = x² - x +2x -2 = x(x - 1) + 2*(x-1) = (x-1)(x+2)
8x² + 4x = 4x ( 2x + 1)
3x² + 10x + 8 = 3x² + 6x + 4x + 4*2 =3x * (x + 2) + 4 * ( x + 2) = (x + 2)(3x + 4)
Answer:
The correct options are:
- g(x) is shifted three units higher than f(x).
- g(x) has a period that is half the period of f(x).
Step-by-step explanation:
We have to compare the graphs of the function:

and 
We have to select the correct options among the following:
As we know that the period of sine function is 2π.
i.e. Period of function f(x) is: 2π.
The period of sin(2 x) is π.
Hence, the period of the function g(x) function is π.
- Hence, the period of g(x) is half the period of f(x).
- Also we could observe that g(x) is shifted 3 units upward.
To find LCM
factor and eliminate ones already represented
1=1
2=2
3=3
4=2*2
5=5
1*2*2*3*5=60
Answer:George will receive $1200
first $100 payment which will included in his gross income.
Step-by-step explanation:
His gross income will be $100 per months multiple by 12months which will be his first $100 payment.
$100× 12=$1200
P=2L+2a
w=L-8, P=52
52=2L +2(L-8)
52=4L-16
68=4L
L=17, w=9