Answer:
3054cm rounded to the whole number
Step-by-step explanation:
4/3xxr^3
would become 4/3 x x 9^3
once you do all of the math you get 3054 cm.
If all you want is a horizontal shrink then the answer you choose should not be in brackets. The brackets will alter the way the graph looks.
That means that A and B are not correct.
If you have a graph where a>1 the graph will expand.
If you have a graph where a<1 but greater than 0 the graph will shrink.
y = 1/2 x^3 + 4 is the answer you want.
Just to show you the graphs, I have enclosed a graph of the three choices.
y = x^3 + 4 is red
y = 2x^3 + 4 is blue
y = (1/2) x^3 + 4 is green. The green one is the one you want.
Answer:
6 ft longer (total length of 15ft)
Step-by-step explanation:
the initial dimensions are:
length: 
width: 
the area area of the garden is given by:

so the original area is:

Since we need the area to be
, and we can only change the length, the width will still be 8ft.
We substitute the value of the new area and the width to the equation for the area:

and we clear for the new length:

The length of the garden for the area to be
, must be 15ft.
This means that if originally the length was 9 ft, now it has to be 6 ft longer.
1) given function
y = - 2 ^ ( -x + 2) + 1
2) domain: domain is the set of the x-values for which the function is defined.
The exponential function is defined for all the real numbers, so the domain of the given function is all the real numbers.
3) x-intercept => y = 0
=> y = - 2 ^ ( -x + 2) + 1 = 0 => 2^ ( -x + 2) = 1
=> - x + 2 = 0 => x = 2
The x-intercept is x = 0
4) y-intercept => x = 0
=> y = - 2 ^ ( -x + 2) + 1= - 2 ^ ( 0 + 2) 1 = - (2)^(2) + 1 =- 4 + 1 = - 3
=> The y-intercept is - 3
5) limit when x -> negative infinite
Lim f(x) when x -> ∞ = - ∞
6) limit when x -> infinite
Lim f(x) when x - > infinite = 1
=> asymptote = y = 1
7) range is the set of values of the fucntion: y
Given that the function is strictly decreasing from -∞ to ∞, the range is from - ∞ to less than 1
Range (-∞,1)
Answer:
B
Step-by-step explanation:
The screenshot given explains the formula of standard deviation, which measures the variation of numbers in a set.
It basically says we have to find the sum of all the numbers subtracted by the mean squared, and divide that by the number of data sets, and then square root.
The only way we can get this problem is by B.