Answer:
Step-by-step explanation:
The attached photo contains the Venn diagram with the circles representing the set of Spa's, fitness clubs and children clubs
The total number of resorts was 110
a) the number of the resorts that had only Spa is
33 - (2 + 8 + 9) = 14
b)the number of the resorts that had exactly one of these features is
Exactly Spa is 33 - (2 + 8 + 9) = 14
Exactly fitness center is 67 - (15 + 8 + 9) = 35
Exactly a children’s club is 45 - (2 + 8 + 15) = 20
14 + 35 + 20 = 69
c) the number of the resorts had at least one of these features would be
(14 + 35 + 20 + 2 + 15 + 9 + 8) = 103
d) the number of the resorts had exactly 2 of these features would be
2 + 15 + 9 = 26
e) the number of the resorts that none of these features would be
110 - 103 = 7
Answer:
h=6 feet
Step-by-step explanation:
Given: 1. The base of a rectangle is three feet longer than its height.
2.Are of the rectangle=54 square meters
Let us say the rectangle has height h and base(breadth) b.
Since, the base of the rectangle is three feet longer than the height, we have b=h+3.
Also, Area of the Rectangle= hb
therefore, 54=h(h+3)
54= h2+ 3h
h2+3h-54=0 (Subtract 54 from both the sides)
To find the value of h we have to solve the quadratic equation.
[We have the equation in the form ax2+bx+c=0, to factorise the equation-
Step1. Find two numbers such that their multiplication is equal to ac and their addition is equal to b.
Step2. Replace b with these numbers.
Step3. Simplify the equation]
So, h2+3h-54=0
h2+9h-6h-54=0
h(h+9)-6(h+9)=0
(h+9)(h-6)=0
Which gives-
h= -9 or h= 6
As h is the height of the rectangle, h can not be -9.
so h=6 feet
and b=h+3=9 feet
So the dimensions of the rectangle are 6 feet for the height and 9 feet for the base.
Answer:
asdasd
Step-by-step explanation:
Answer:
The answer of this question is 50
Answer:
1/x+2
Step-by-step explanation:
To find the inverse of the function, try switching the x value with the y value or function value
something like: x=1/g(x)-2
then, just manipulate the equation so that g(x) is by itself again, but this time, since it is an inverse, it's denoted as g-1(x)
x=1/g-1(x)-2
x+2=1/g-1(x)
(g-1(x))(x+2)=1
g-1(x)=1/(x+2)
