6x^2 - 19x - 55 = 6x^2 -30x + 11x - 55 = 6x(x - 5) + 11(x - 5) = (6x + 11)(x - 5)
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Step-by-step explanation:
Below is an attachment containing the solution.
"2 times pi times r", which can be written as "2*pi*r", represents the circumference of a circle. This is the distance around the circle (aka perimeter)
r is the radius of the circle
if you know the diameter then you can divide the diameter in half to get the radius (example: diameter is 10 so the radius is 5)
Answer:
Step-by-step explanation:
first step: 0.5 * x
second step: 3* (0.5x) = 1.5x
third step: (1.5x)^2
fourth step: (1.5x)^2 + 1 = 50
(1.5x)^2 + 1 = 50 Subtract 1 from both sides
(1.5x)^2 = 49 Take the square root of both sides
1.5x = sqrt(49)
1.5x = +/- 7
1.5x = +7
x = 7/1.5
x = 4.67
1.5x = - 7
x = - 7 / 1.5
x = - 4.67
Given function : 
We need to identify a " initial amount", b "growth factor", r " rate of growth".
We know, exponential growth formula
, where a is initial amount, b is growth factor. On comparing with given function let us find values of a and b.
⇔ .
We can see a= 1.05 and b = 1.46.
Now, b=1+r.
Therefore, 1+r =1.46.
Subtracting 1 from both sides, we get
1+r-1 =1.46-1
r = 0.46.
On converting 0.46 into percentage, we get
0.46 × 100 = 46.
Therefore, intial amount a = a= 1.05 , growth factor b = 1.46, and the rate of growth r= 46%.
