(1)the GCF for the polynomial 
4x^3 = 2*2* x* x* x
2x^2y = 2*x*x*y
Greatest common factor is 
(2) the GCF for the polynomial 
GCF is 
(3) the GCF for the polynomial
GCF is 
(4) the GCF for the polynomial 
GCF is 
The decay factor for the annual rate of change of - 55 % is 0.45.
A quantity must vary by a specific percentage each time period in order for growth or decay to be exponential.
With the function displayed to the right, you may represent exponential growth or decay.
A(x) = a( 1 + r)ˣ
Where A is the amount after x time periods, a is the initial amount, x is the number of time periods, and r is the rate of change.
Now, we have the annual rate of change as:
r = - 55 % = - 55 / 100 = - 0.55
From the function A(x) = a( 1 + r)ˣ , the corresponding factor is 1 + r.
So, let B = 1 + r
B = 1 + r
B = 1 + (- 0.55)
B = 1 - 0.55
B = 0.45
Now, the value of B is less than 1 therefore, the corresponding decay factor is 0.45.
Learn more about growth and decay factor here:
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Answer:
x = 8/9
Step-by-step explanation:
-4(2x-3) + 4x = 9x -4x +8 -4
2x*(-4) -3*(-4) + 4x = 9x - 4x + 8 - 4
-8x + 12 + 4x = 9x - 4x + 8 - 4 {Combine like terms}
-4x + 12 = 5x + 4
12 = 5x + 4x + 4
12 = 9x + 4
12- 4 = 9x
9x = 8
x = 8/9
slope intercept form - (y = mx + b)
slope (m) is (3/2) So, y = 3/2x + b
To find b you plug in the x and y value (2,7)
7 = 3/2 × 2 + b
Isolate x on one side by finding the value of 3/2 × 2 which is 3.
Subtract 3 from both sides which leaves you with 4 = b, so the value of b is 4
Now the slope intercept form is (y = 3/2x + 4)
They are congruent. Distance formula works.
