Length of outer boundary =30m
So area of outer boundary =30×30
= 900m²
Length of inner boundary of path=30-1= 29m
Inner area =29×29 =841m²
So area of path is= outer area - inner area
=900- 841
= 59m²
Understand that a function<span> is a rule that assigns to each input exactly one output. The graph of a </span>function<span> is the set of ordered pairs consisting of an input and the corresponding output.</span>
Answer:
<h2>(g-f)(10) = - 71</h2>
Step-by-step explanation:
f(x) = x² - 1
g(x) = 2x + 8
To find (g-f)(10) first find ( g - f)(x)
To find ( g - f)(x) subtract f(x) from g(x)
That's
( g - f)(x) = 2x + 8 - ( x² - 1)
Remove the bracket
( g - f)(x) = 2x + 8 - x² + 1
Simplify
( g - f)(x) = - x² + 2x + 9
To find (g-f)(10) substitute the value in the bracket that's 10 into ( g - f)(x)
That is
(g-f)(10) = -(10)² + 2(10) + 9
= - 100 + 20 + 9
= - 100 + 29
= - 71
Hope this helps you
Answer:
This proves that f is continous at x=5.
Step-by-step explanation:
Taking f(x) = 3x-1 and 
, we want to find a 
such that 
At first, we will assume that this delta exists and we will try to figure out its value.
Suppose that 
. Then
.
Then, if , then 
. So, in this case, if 
we get that . The maximum value of delta is 
.
By definition, this procedure proves that 
. Note that f(5)=14, so this proves that f is continous at x=5.
