Answer:
1) D 2)B
Step-by-step explanation:
The Range of the function is {y|y is a real number} , Option D is the correct answer
<h3>What is Range ?</h3>
Range of a function is all the value a function can obtain.
From the figure it can be seen that the graph is moving slowly in either direction.
It extends from -∞ to +∞ ,
Therefore , {y|y is a real number} , Option D is the correct answer.
The complete question is
The graph shows a vertical translation of y = ³√x
What is the range of the translated function?
{y|y < 0}
{y|y ≥ 0}
{y|y is a natural number}
{y|y is a real number}
The image of the translated function is attached.
To know more about Range
brainly.com/question/17553524
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Answer:
(f-g)(x) = - 3 x² + 3 x -6
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given function f(x) = x² + x - 5
g(x) = 4 x² - 2 x + 1
(f-g)(x) = f(x) - g(x)
= x² + x - 5 - (4 x² - 2 x + 1)
= x² - 4 x² + x + 2 x - 5 -1
= - 3 x² + 3 x -6
(f-g)(x) = - 3 x² + 3 x -6
Answer:
Step-by-step explanation:
N=NOe^-kt
N=mass at time t
NO = initial mass
k= 0.1476
t= time, in days
We are asked to find the half-life, which means you want to find how long it will take for half of the substance to decay/disappear (depending on situation).
If we are looking for half-life, we can simply set N to half of NO (which we are given a value of 40grams for)
Therefore:
N = 20
NO = 40
plugging these values and the value given for k back into the equation you get:
20 = 40e^-0.1476(t)
We are looking for t, so we have to manipulate the formula to get t by itself on one side of the equation.
We can start by dividing 40 from both sides, and you get:
0.5 = e^-0.1476(t)
We have the exponential function "e".
To get rid of e, we can use natural log (ln)
if e^y=x then ln (x) = y
look back at our equation we can set
0.5 = x
-0.1476(t) = y
Rewriting it in natural log form:
ln (0.5) = -0.1476(t)
Plug in ln (0.5) on a calculator to find its value and we get:
-0.693147 = -0.1476(t)
*Note: normally, getting a negative value would suggest that we did something wrong, because you cannot have a negative value as your t (you cannot have negative days), but because there is a negative on both sides of the equation, they will cancel out in this case.
The last step is to simply divide both sides by -0.1476
therefore:
T = 4.696119
But it asks you for the answer to the nearest tenth (one place after decimal pt) so
T (half life) = 4.7 days
Hope that helps :)
