When a function is reflected, it must be reflected over a line
The new function is: 
The equation is given as:

The rule of reflection over the y-axis is:

So, we have:

Rewrite as:

Hence, the new function is:

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Answer:
c) 16,500 m³
d) 277,088 mm³
a) V = LWH
b) V = πr²h
Step-by-step explanation:
The relevant volume formulas are ...
- rectangular pyramid: V = 1/3LWH
- cylinder: V = πr²h
- rectangular prism: V = LWH
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13c. The pyramid formula above tells us the volume is ...
V = 1/3(60 m)(15 m)(55 m) = 16,500 m³
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13d. The cylinder formula above tells us the volume is ...
V = π(35 mm)²(72 mm) ≈ 277,088 mm³ ≈ 277 mL
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14a. The shape appears to be a rectangular prism, so its volume is given by the formula ...
V = LWH . . . . . where L, W, H represent the length, width, and height
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14b. The volume of a cylinder is given by the formula ...
V = πr²h . . . . . where r, h represent the radius and height (length)
Answer:
-1 -1
Step-by-step explanation:
because thats were they touch
Answer:
The new function is g(x) = x² +1
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that the function f(x) = x²
From graph ,
The parabola y = x² is shifting to up with '1' units
y = x² +1
The new function is g(x) = x² +1
<u><em>Verification:-</em></u>
y = x²+1
Put x=0 ⇒ y =1
The point (0,1) lies on the parabola y = x²+1
similarly put x =1 and y = 2
The Point (1,2) lies on the Parabola y = x²+1
∴ The new graph y = x²+1
Answer:
-7
Step-by-step explanation:
f(3) = 2(3)+3 = 9
g(4) = 2^4 = 16
9 - 16 = -7