Answer:
Additive Identity I think, I'm not sure
Step-by-step explanation:
Tell me in the comments if I'm wrong.
F(x)=2x+4/3
Replace f(x) by y:
y=2x+4/3
Solving for x:
y-4/3=2x+4/3-4/3
Subtracting the two terms on the left side of the equation:
(3y-4)/3=2x
Dividing both sides of the equation by 2:
[(3y-4)/3]/2=2x/2
[(3y-4)/3]*(1/2)=x
[(3y-4)*1]/[(3)*(2)]=x
(3y-4)/6=x
x=(3y-4)/6
Replace "x" by "f^(-1) (x)" (inverse function) and "y" by "x":
f^(-1) (x) = (3x-4)/6 Inverse function
Then, for x=6
f^(-1) (6) = [ 3(6)-4]/6
f^(-1) (6) = (18-4)/6
f^(-1) (6)= 14/6
f^(-1) (6) = 7/3
Her hair will have grown 6 after 7/3 = 2.33 months
Angles in a line = 180
180-165 = 15 degrees
15 + 45 + ? = 180
60 + ? = 180
? = 120
Answer:
Step-by-step explanation:
Volume of the figure = Base area * height
Base area:
Base area = area of trpezium + area of triangle
<u />
<u>Trapezium:</u>
a, b area the length of parallel sides and h is the height of trapezium.
a = 8 m ; b = 5 m & h = 3 m


<u>Triangle:</u>
height = 4 m & base = 8 m


Base area = 19.5 + 16
= 35.5 m²
Volume of the figure = Base area * height
= 35.5 * 14
= 497 m³
Answer:
Volume of a right prism = 65 cubic inches
Its height is increased by a factor of 20.
To find:
The new volume of the prism if the other dimensions do not change.
Solution:
The volume of a prism is:

Where, B is the base area and h is the height.
A right prism has a volume of 65 cubic inches.

The height of prism is increased by a factor of 20. So, the new volume is:




The volume of the new prism is 1300 in³.
Therefore, the correct option is B.