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.
Answer: 17/5
Step-by-step explanation: isolation the variable by dividing each side by factors that don't contain the variable. z=−b5−17
For the first letter drawn, there are no conditions/restrictions we need to consider. So, the number of ways to draw an i is:
For the second draw, the i is not replaced. That means, we've shrunk the sample space because we're dealing with less elements for the second draw. Firstly, one i disappears since we picked an "i" and there are 10 elements left, not 11.
Thus, to draw the second i, we have:
Answer:
The approximate volume of the sphere= 4187 cubic units
Step-by-step explanation:
<u>Points to remember</u>
Volume of sphere = (4/3)πr³
Where 'r' radius of sphere
<u>To find the volume of sphere</u>
It is given that the radius of the sphere is 10 units. ,
Here radius r = 10 units
Volume = (4/3)πr³
= (4/3) * 3.14 * 10³
= (4/3) * 3140
= 4186.666 ≈ 4187 cubic units
