Answer:
Step-by-step explanation:
Area of a circle is defined as
A = πr²
Where
A is the area of the circle
r Is the radius of the circle
π is a constant = 3.142
Then,
Given that the area is 380 in²
So,
A = πr²
380 = 3.142 × r²
Divide both side by 3.142
380 / 3.142 = 3.142 × r² / 3.142
111.372 = r²
Take square root of both sides
√111.372 = √r²
10.5533 = r
r = 10.5533 in
Nearest hundredth means to 2d.p
Therefore
r = 10.55 inches
Answer:
C) 0 ≤ x ≤ 25
Step-by-step explanation:
We are supposed to find a reasonable constraint so that the function is at least 300 i.e. the value of x at which f(x) is greater or equal to 300
A)x ≥ 0
Refer the graph
At x = 0
f(x)=300
On increasing the value of x , f(x) increases but at x = 12 it starts decreasing
So, x ≥ 0 can also have f(x)<300
So, Option A is wrong
B)−5 ≤ x ≤ 30
At x = -5
f(x) = 100
So, Option B is wrong since we require f(x) is greater or equal to 300
c)0 ≤ x ≤ 25
At x = 0
f(x)=300
At x = 12 , it starts decreasing
At x = 25
f(x)=300
So, The value of f(x) is at least 300 when 0 ≤ x ≤ 25
D)All real numbers
At x = 30
f(x)=0
But we require f(x) greater or equal to 300
Hence Option C is true
( x^4 - 4 x³ + 2 x² - 4 x + 1 ) : ( x² + 1 ) = x² - 4 x + 1
- x^4 - x²
------------------------
- 4 x³ + x² - 4 x
4 x³ + 4 x
-----------------------
x² + 1
- x² - 1
----------------
R ( x ) = 0
( x^4 - 4 x³ + 2 x² - 4 x + 1) = ( x² + 1 ) ( x² - 4 x + 1 )
Answer:
-9
Step-by-step explanation:
you'd add 2 to the -11 which would equal -9 and leave you with x=-9
