Answer:
7x (x + 1 ) ( x + 3 )
Step-by-step explanation:
7x³ +28x² +21x
7x ( x² + 4x + 3 )
7x [ x² + 1x + 3x + 3 ]
7x [ x ( x + 1 ) + 3 ( x + 1 ) ]
7x (x + 1 ) ( x + 3 )
Answer:
7.
A.) -⅔
B.) 3/-2
Step-by-step explanation:
from 1 to -1 you have to go down 2
from 2 to -1 you have to go down 3
therefore your slope is -⅔
from 3 to 6 you go up by 3
from 1 to -1 you go down by 2
therefore your slope is 3/-2
Answer:
A =78.5
Step-by-step explanation:
We need the radius to find the area of a circle
r = d/2 = 10/2 =5
The area of a circle is given by
A = pi r^2
A = 3.14 (5)^2
A =3.14 (25)
A =78.5
Answer:
The height of the seat at point B above the ground is approximately 218.5 feet
Step-by-step explanation:
The given parameters are;
The radius of the Ferris wheel, r = 125 feet
The angle between each seat, θ = 36°
The height of the Ferris wheel above the ground = 20 feet
Therefore, we have;
The height of the midline, D = The height of the Ferris wheel above the ground + The radius of the Ferris wheel
∴ The height of the midline = 20 feet + 125 feet = 145 feet
The height of the seat at point B above the ground, h = r × sin(θ) + D
By substitution, we have;
h = 125 × sin(36°) + 145 ≈ 218.5 (The answer is rounded to the nearest tenth)
The height of the seat at point B above the ground, h ≈ 218.5 feet.
Answer: William will pay $ 330.76 more interest than Shani at the end of 3 years.
Step-by-step explanation:
Compound interest = 
<em> , </em>P= principal , r= rate of interest , t= time
Given: P = $5000 , t= 3 years
For Shani , r= 4% = 0.04
Compound interest = 
For William, r= 6%= 0.06
Compound interest = 
Difference = $ ( 955.08- 624.32)
= $ 330.76
Hence, William will pay $ 330.76 more interest than Shani at the end of 3 years.
