Step-by-step explanation:
1. In the picture down below.
2. Because they are = 20
100 ÷ 5 = 20
10 ÷ 0.5 = 10 x 2 = 20
1 ÷ 0.05 = 1 x 20 = 20
Answer: Choice D
y = cos(x+pi)
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Explanation:
Make sure your calculator is in radian mode.
If we plug x = 0 into each answer choice, we get the following
Choice A: y = cos(x+pi/2) = cos(0+pi/2) = 0
Choice B: y = cos(x+2pi) = cos(0+2pi) = 1
Choice C: y = cos(x+pi/3) = cos(0+pi/3) = 1/2 = 0.5
Choice D: y = cos(x+pi) = cos(0+pi) = -1
Only choice D has x = 0 lead to y = -1.
Therefore (0,-1) is a point on the equation of choice D. The graph shows this visually through the y intercept, where the graph crosses the y axis.
To find the end behavior of a function, we find it's limits as x approaches infinity, getting the correct option as:
As x approaches plus-or-minus infinity = limit of StartFraction 4 Over x Superscript 5 EndFraction as x approaches plus-or-minus infinity, so as x approaches infinity, g (x) approaches 0.
Function:
The function given is:
![g(x) = \frac{4x+9}{x^6+1}](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%5Cfrac%7B4x%2B9%7D%7Bx%5E6%2B1%7D)
Limit as x goes to infinity:
To find the limit of a function as x goes to infinity, we consider the term with the highest exponent in the numerator and in the denominator. So
![\lim_{x \rightarrow \infty} g(x) = \lim_{x \rightarrow \infty} \frac{4x+9}{x^6+1} = \lim_{x \rightarrow \infty} \frac{4x}{x^6} = \lim_{x \rightarrow \infty} \frac{4}{x^5} = \frac{4}{\infty^5} = 0](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Crightarrow%20%5Cinfty%7D%20g%28x%29%20%3D%20%5Clim_%7Bx%20%5Crightarrow%20%5Cinfty%7D%20%5Cfrac%7B4x%2B9%7D%7Bx%5E6%2B1%7D%20%3D%20%5Clim_%7Bx%20%5Crightarrow%20%5Cinfty%7D%20%5Cfrac%7B4x%7D%7Bx%5E6%7D%20%3D%20%5Clim_%7Bx%20%5Crightarrow%20%5Cinfty%7D%20%5Cfrac%7B4%7D%7Bx%5E5%7D%20%3D%20%5Cfrac%7B4%7D%7B%5Cinfty%5E5%7D%20%3D%200)
The graphic of the function, given at the end of this answer, corroborates the answer.
Thus, the correct option is:
As x approaches plus-or-minus infinity = limit of StartFraction 4 Over x Superscript 5 EndFraction as x approaches plus-or-minus infinity, so as x approaches infinity, g (x) approaches 0.
For more on limits as x approaches infinity, you can check brainly.com/question/12207599.
Hi there!
The question here is asking us to multiply two functions together - j(x) and k(x). First, we need to determine the expressions for j(x) and k(x). Since this is given, we can move straight onto multiplying the two functions together, which will give us our answer.
j(x) × k(x)
Substitute expressions -
(x⁴ - 81)(x + 3)
Simplify -
(x⁴ - 81)(x + 3)
x⁵ + 3x⁴ - 81x - 243
Therefore, the answer is x⁵ + 3x⁴ - 81x - 243. Hope this helped!
so with 1/6 gram of honey you can make 1/12 pan of pudding
that means with 6/6 or 1 gram of honey you can make 6/12 pan of pudding
then 2 gram of honey is needed to make 12/12 or 1 full pan of pudding