Answer:
The number of roots for equation 
is 4 .
Step-by-step explanation:
Here, the given function polynomial is :
The Fundamental Theorem of Algebra says that a polynomial of degree n will have exactly n roots (counting multiplicity).
Now here, the degree if the polynomial is 4 (highest power of variable x).
So, according to the Fundamental Theorem, the given polynomial can have AT MOST 4 roots, counting Multiplicity.
Hence, the number of roots for equation is 4 .
The rule to find the term is: y=225-4x
you want to know the 82nd term which occurs when x=82 therefore
y = 225-(4 x 82) = -103
82nd term = -103
<span>average rate of change = (f(7) - f(5)) / (x7 - x5)
</span>f(7) = <span>12 (7^3) + 12 = 4128
f(5) = </span>12 (5^3) + 12 = 1512
so
average rate of change = (4128 - 1512)/(7-5)
average rate of change = 2616 / 2
average rate of change = 1308
hope it helps
Answer:
x=27
Step-by-step explanation:
expanding the above expression we get
5x+5=4x+32
grouping numbers with coefficient of x at the left side and constant at the right side we get
5x-4x=32-5
x=27
Answer:
Width is 3 ft
length is 6 ft
Step-by-step explanation:
Let x = the width
Let 2x = the length
Let h = the height
We know that volume is given v = l×b×h
so we have v = volume 
surface area include 2 ends + 1 bottom and 2 sides excluding top
we have calculate
By graphing above equation we can calculate the value of x
Minimum S.A when x is 3 is the width so
2(3) = 6 is the length
