Answer:
√25 √2
Step-by-step explanation:
The largest perfect square fitting into 50 is 25
Answer:
X= 5, -9
Step-by-step explanation:
(X+2)² =49
Expand the bracket,
(X+2) (X+2)= 49
Apply the distributive property;
X(X+2) +2 (X+2) =49
X²+2X+2X+4=49
X²+4X+4=49
Move 49 to the left side of the equation;
X²+4X+4-49=0
X²+4X-45=0
Apply Factorisation method;
Consider the form
a²+bx+c=0
Find two numbers whose sum is equal to b and whose product is equal to c.
Comparing with our equation;
B =4 and C =45
We can use 9 and -5, this is because ;
9+(-5)=4 and 9*(-5)= 45.
Replace X +4X-45=0 with (X-5) (X+9)=0
Therefore;
X-5=0
X+9=0
Moving to the left side of the equation;
Therefore X= 5 and -9
Answer:
(a) The critical points of f are x=0 and x=3.
(b)f is decreasing on and f is decreasing on .
(c) Therefore the local minimum of f is at x=3
Step-by-step explanation:
Given function is
(a)
To find the critical point set f'(x)=0
The critical points of f are 0,3.
(b)
The interval are and .
To find the increasing or decreasing, taking two points one point from the interval (0,3) and another point .
Assume 1 and 4.
Now
and
Since 1∈ , f'(x)<0 and 4∈ , f'(x)>0
∴f is decreasing on and f is decreasing on .
(c)
Differentiating with respect to x
Now
and
Since f''(x)>0 at x=3
Therefore the local minimum of f is at x=3
Answer:
<h2><u><em>
2</em></u></h2>
Step-by-step explanation:
What is the answer to 25% of £8
8 : 100 * 25 = <em>2</em>
or
25% = 1/4
8 : 4 = <em>2</em>