Answer: kindly check explanation
Step-by-step explanation:
Given the data :
5 3 3 1 4 4 5 6 4 2 6 6 6 7 1 1 14 1 2 4 4 4 5 6 3 5 3 4 5 6 8 4 7 6 5 9 11 3 12 4 7 6 5 15 1 1 10 8 9 2 12
Frequency and relative frequency table can be found in the attachment below.
b. Where do the data tend to cluster?
3 up to 6
Answer:
20, 60, 15
Step-by-step explanation:
Let the third number be n, then
The first number is n + 5 and the second number is 4n
Sum the 3 numbers and equate to 95, that is
n + 5 + 4n + n = 95 ← collect like terms on left side
6n + 5 = 95 ( subtract 5 from both sides )
6n = 90 ( divide both sides by 6 )
n = 15
Thus
The first number is 15 + 5 = 20
The second number is 4 × 15 = 60
The third number is 15
F(x)=
![\sqrt[3]{x+2}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bx%2B2%7D%20)
to solve for the inverse of a function you do 4 steps:
1. subsitute f(x) with y
2. switch y and x places
3. solve for y
4. subsitute y with f⁻¹(x)
so we have
f(x)=
![\sqrt[3]{x+2}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bx%2B2%7D%20)
subsitute f(x) with y
y=
![\sqrt[3]{x+2}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bx%2B2%7D%20)
switch x and y
x=
![\sqrt[3]{y+2}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7By%2B2%7D%20)
solve for y
x=
![\sqrt[3]{y+2}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7By%2B2%7D%20)
cube both sides

=y+2
subtract 2 from both sides

=y
subsitute y with f⁻¹(x)
f⁻¹(x)=

the answer is f⁻¹(x)=
Answer:
The correct option is 1.
Step-by-step explanation:
Given information: The coordinates of a right angled triangle ABC are A(0, 0), B(0, 4a – 5) and C(2a + 1, 2a + 6). Angle ABC = 90°.
It means AB and BC are legs of the right angled triangle ABC.
Side AB lies on the y-axis because the x-coordinate of both A and B is 0.
Two legs are perpendicular to each other. So, BC must be parallel to x-axis and the y-coordinate of both B and C is must be same.



Divide both sides by 2.

The value of a is 2. So the coordinates of triangle ABC are


The area of a triangle is

The area of triangle ABC is





The area of triangle ABC is 102. Therefore the correct option is 1.
Step-by-step explanation:-8.8e +122