Hi,
Answer:
k = ![\frac{23}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B23%7D%7B2%7D)
Step-by-step explanation:
Subtract 4k from both sides
6k - 4k = 2k
2k - 8 = 15
Add 8 on both sides (you want to get rid of the 8 in order to leave the k alone)
2k = 23
k = 23/2
Have a good day!
This kind of triangle is acute triangle because on the given three angles, none of them does not exceed more than 90°.
Considering it's horizontal asymptote, the statement describes a key feature of function g(x) = 2f(x) is given by:
Horizontal asymptote at y = 0.
<h3>What are the horizontal asymptotes of a function?</h3>
They are the limits of the function as x goes to negative and positive infinity, as long as these values are not infinity.
Researching this problem on the internet, the functions are given as follows:
.
The limits are given as follows:
![\lim_{x \rightarrow -\infty} g(x) = \lim_{x \rightarrow -\infty} 2(2)^x = \frac{2}{2^{\infty}} = 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%202%282%29%5Ex%20%3D%20%5Cfrac%7B2%7D%7B2%5E%7B%5Cinfty%7D%7D%20%3D%200)
![\lim_{x \rightarrow \infty} g(x) = \lim_{x \rightarrow \infty} 2(2)^x = 2(2)^{\infty} = \infty](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%202%282%29%5Ex%20%3D%202%282%29%5E%7B%5Cinfty%7D%20%3D%20%5Cinfty)
Hence, the correct statement is:
Horizontal asymptote at y = 0.
More can be learned about horizontal asymptotes at brainly.com/question/16948935
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Answer:
Below.
Step-by-step explanation:
y + 2 > -3(x + 1)
y + 2 > -3x - 3
y > -3x - 5
The graph will be the graph of the line y = -3x - 5 (dotted line), with the area above the line shaded.
It invalidates his hypothesis because it is possible for the time a trip takes to depend on the distance that is traveled during the trip.
Option C is the right answer.
The missing graph has been attached with the answer.
<h3>What is a Scatter Plot ?</h3>
These are Cartesian Points and it represents relationship between two variables.
It is given that
Will's Hypothesis is time can never be a dependent variable.
Although from the graph plotted it can be seen that the time is dependent on distance travelled and
the in a scatter plot , the dependent variable is plotted on y axis and here the time is plotted on y axis ,
therefore the scatter plot invalidate Willis’s hypothesis.
It invalidates his hypothesis because it is possible for the time a trip takes to depend on the distance that is traveled during the trip.
Option C is the right answer.
To know more about Scatter Plot
brainly.com/question/13984412
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