<span> D) Train A by a factor of 1.1
</span>Train A: <span>17/35</span><span> = 34.6</span>
<span>Train B: </span>Rate<span> is the </span>slope<span> of the </span>equation, 31.35
Thus,<span>34.6/31.35</span><span> = 1.1036</span>
To apply the changes to the equation of a vertical stretch of 4 and a translation of 3 units to the right, as well as the correct answer would be choice B.
The reason for this is when you apply a vertical stretch, because it changes the y-values (which causes it to vertically stretch or appear skinnier when graphed), you would multiply 4 to f(x) which would look like 4x^2.
Then, since you have a reflection over the x-axis, you must multiply a -1 to f(x) to reflect it over the x-axis which would result in -4x^2.
Finally, it also asks to shift the graph right 3 which by moving it right, you change the x values meaning you will perform f(x-3) to achieve this (subtract the value from x when you move right, and add the value to x when you move left).
This therefore results in your answer, the new graph would be
g(x)= -4(x-3)^2 or choice B.
Use formula
![\sqrt[3]{27(\cos{330^o}+i\sin{330^o})} \\\sqrt[3]{27e^{i330^o} } \\ \sqrt[3]{27} \sqrt[3]{e^{i330^o}} \\ \sqrt[3]{3^3} \sqrt[3]{e^{i110^o\times 3}} \\ \sqrt[3]{3^3} \sqrt[3]{(e^{i110^o})^ 3}} \\ 3e^{i110^o} \\3(\cos{110^o}+i\sin{110^o})](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B27%28%5Ccos%7B330%5Eo%7D%2Bi%5Csin%7B330%5Eo%7D%29%7D%20%0A%5C%5C%5Csqrt%5B3%5D%7B27e%5E%7Bi330%5Eo%7D%20%7D%0A%5C%5C%20%20%5Csqrt%5B3%5D%7B27%7D%20%20%5Csqrt%5B3%5D%7Be%5E%7Bi330%5Eo%7D%7D%20%0A%5C%5C%20%5Csqrt%5B3%5D%7B3%5E3%7D%20%5Csqrt%5B3%5D%7Be%5E%7Bi110%5Eo%5Ctimes%203%7D%7D%20%0A%5C%5C%20%5Csqrt%5B3%5D%7B3%5E3%7D%20%5Csqrt%5B3%5D%7B%28e%5E%7Bi110%5Eo%7D%29%5E%203%7D%7D%20%0A%5C%5C%203e%5E%7Bi110%5Eo%7D%0A%5C%5C3%28%5Ccos%7B110%5Eo%7D%2Bi%5Csin%7B110%5Eo%7D%29)
Since
and
there are two more solutions:
1.
2.
The parent function represented by the graph is an exponential function, as it gets exponentially smaller.
Answer:
30 c + 100 m = 700
c+ m = 14
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations.
The product of the number of movies where the song was played (m) multiplied by the earnings per movie (30) plus the product of the number of commercials where the song was played (m) multiplied by the earnings per commercial, must be equal to $700.
30 c + 100 m = 700
The number of movies (m) plus the number of commercials (c) is equal to 14.
c+ m = 14
The system is:
30 c + 100 m = 700
c+ m = 14
