Answer:
4th choice
Step-by-step explanation:
Let f(x)=x^4 be the parent function.
This is what the following means:
n(x)=(x-3)^4 : The parent function has moved right 3.
h(x)=-x^4 : The parent function has been reflected over the x-axis.
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Together (n and h):
m(x)=-(x-3)^4: The parent function has been reflected over the x-axis and moved right 4 units.
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v(x)=(x-3)^4+5: The parent function has been moved right 3 units and up 5 units.
So you have g(x)=-(x+3)^4.
So this consists of a reflection across x-axis and has been shifted 3 units left.
Answer:
C) 12
Step-by-step explanation:
These type of questions is basically asking you to replace x with 2. f(x) is the same thing as y = but inside the f(x) is the value of x. So in this case, the numerical value of x is 2. All we need to do is replace x with it's numerical value, 2, and solve the equation.
![y=7(2-2) + 4(2+1)\\y=7(0) + 4(3)\\y = 12](https://tex.z-dn.net/?f=y%3D7%282-2%29%20%2B%204%282%2B1%29%5C%5Cy%3D7%280%29%20%2B%204%283%29%5C%5Cy%20%3D%2012)
Given:
The sequence is
436, 218, 109, 54.5, 27.25,...
To find:
The explicit formula for the given sequence.
Solution:
We have,
436, 218, 109, 54.5, 27.25,...
It is a GP because the two consecutive terms have common ratio.
Here,
First term : a=436
Common ratio : d = ![\dfrac{218}{436}](https://tex.z-dn.net/?f=%5Cdfrac%7B218%7D%7B436%7D)
= ![\dfrac{1}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D)
= ![0.5](https://tex.z-dn.net/?f=0.5)
Now, the explicit formula for a GP is
![g_n=ar^{(n-1)}](https://tex.z-dn.net/?f=g_n%3Dar%5E%7B%28n-1%29%7D)
Where, a is the first term and r is the common ratio.
Putting a=436 and r=0.5, we get
![g_n=436(0.5)^{(n-1)}](https://tex.z-dn.net/?f=g_n%3D436%280.5%29%5E%7B%28n-1%29%7D)
Therefore, the correct option is c.
Answer: 2048
Step-by-step explanation:
(25+(2×7)+3×(6-3)+2000
- 25+14+(3x3)+2000
- 39+9+2000
- 48+2000
- 2048
Parentheses
Exponents
Multiplication and Division (from left to right)
Addition and Subtraction (from left to right)
V= area of the base • height
V= pi• radius^2 •height
V= (3.14• 5^2) • 3
(3.14•25)•3
=235.5 units cubed