Answer:
B) x = e^x
Step-by-step explanation:
The graphs of y = e^x and y = x never intersect, so the solution set will be the empty (null) set for ...
x = e^x
_____
There is one intersection of y=x with cos(x) and with sin(x). There are an infinite number of solutions for x = tan(x).
a flat figure with 4 equal straight sides and four right angles
Answer:
<h3> (x-8)²+(y-3)² = 81</h3>
Step-by-step explanation:
The general equation of a circle is expressed as;
(x-a)²+(y-b)² = r² where;
(a, b) is the centre of the circle
r is the radius
Given the centre (8, 3) and the radius of 9, the equation of the circle will be;
(x-a)²+(y-b)² = r²
(x-8)²+(y-3)² = 9²
(x-8)²+(y-3)² = 81
hence the required equation is (x-8)²+(y-3)² = 81
Answer:
His age is 7 years.
Step-by-step explanation:
Let Rehman's present age be x years.
1 / (x - 3) + 1 /(x + 5) = 1/3
Multiply through by the LCD 3(x - 3)(x + 5):
3(x + 5) + 3(x - 3) = (x + 5)(x - 3)
3x + 15 + 3x - 9 = x^2 + 2x - 15
x^2 + 2x - 6x - 30 + 9 = 0
x^2 - 4x - 21 = 0
(x - 7)(x + 3) = 0
x = 7 (answer).
Answer: b. Only statement (ii) is correct.
Step-by-step explanation:
The given five-number summary of the ages of passengers on a cruise ship is listed below.
Min 1
20 Median 29
38 Max 80
Inter-quartile range = 
- According to the 1.5(IQR) criterion for outliers : An data value is an outlier if it lies below
or above
.
Here , 

Since the minimum value>
( ∵ 1 > -7)
It means there is no value below
, so there is no low -outlier.
⇒ Statement (i) "here is at least one passenger whose age is a low outlier. " is false.
But the maximum value >
(∵ 85 > 65)
It means there are values above
.
⇒Statement (ii) "There is at least one passenger whose age is a high outlier" is true.
Hence, the correct answer is b. Only statement (ii) is correct.