What is the standard form of the parabola whose vertex form is Y=-(X-3)^2+11

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Answer 1
Answer: y=-(x-3)^2+11\ny=-(x^2-6x+9)+11\ny=-x^2+6x-9+11\ny=-x^2+6x+2

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How to solve for y if  the equation is y=5/2x + 5 if x is zeroplease show step by step how to solve

The average performance rating of the employees at Company A is 6.5 on a scale from 1 to 10 (10 being highest). The standard deviation is 2.1 The average performance rating of the employees at Company C is 7.4. Company C has a standard deviation of 6.8. It would be better to hire a random employee from Company A. Question 2 options:

Answers

The best choice based on the standardsdeviation will be to hire an employee from company A.

How to illustrate the information?

From the information given, the z value to company A will be:

= (6.5 - 5.5)/2.1

= 0.7142

The z value to company B will be:

= (7.4 - 5.5)/6.8

= 0.2794

Therefore, the best choice based on the standards deviation will be to hire an employee from company A since they've higher performance rating.

Learn more about standard deviation on:

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PLEASE ASAP.. what is the volume.? Show your work

Answers

Step-by-step explanation:

The length, breadth and height of the solid is not equal, so it's a cuboid

Volume of a cuboid is calculated by productoflength,breadthandheighti.e. V = lbh.

Puttingthevaluesintheformula,

=> Volume = 1m * 2m * 2m

=> Volume = 4m3 (Option 3)

Volumeofthecuboidis4m³(ans)

Which number in the monomial 215x18y3z21 needs to be changed to make it a perfect cube?3
18
21
215

Answers

remember
xyz=(x)(y)(z)
if x and y and z are all perfect cubes, xyz is also a perfect cube

remmeber
(x^n)^m=x^(mn)
so if it is perfect cube it can be factored into
(x^n)^3, such taht n is a whole number
basiclaly, see if the expoent is divisble by 3

all of them should be perfect cubes

215x^18y^3z^21

split them up to see which ones need changing

215=5*43, not  a perfect cube
could be changed to 6^3, which is 216

x^18=(x^6)^3

y^3=y^3
z^21=(z^7)^3

the 215 needs to be changed
 

Answer: E2020 = 215

Step-by-step explanation:

The steps below show the incomplete solution to find the value of x for the equation 7x – 3x – 4 = –1 + 21:Step 1: 7x – 3x – 4 = –1 + 21

Step 2: 7x – 3x – 4 = 20

Step 3: 4x – 4 = 20Which of these is most likely the next step? (4 points)


4x = 24
4x = 16
4x = 5
4x = 80

Answers

Step 1 :     7x - 3x - 4 = -1 +21
Step 2 :     7x - 3x - 4 = 20
Step 3 :     4x - 4 = 20
Step 4       4x -4 +4 = 20 + 4
                 4x = 24

Answer 4x = 24

In two or more complete sentences, describe why the range of y = cos(x) is -1 ≤ y ≤ 1. Make sure to reference the unit circle in your description.

Answers

Answer:

The range of cos(x) is -1 to 1 (with brackets if in interval notation as -1 and 1 can be included) is because the radius of the unit circle is also 1. If the range went past -1 or 1, the unit circle could not define those values, and would turn up as error or undefined. Now, if you replace a in y = acos(x) + b, the range would be different because you amplified the equation and thus the range and radius.

Step-by-step explanation:

Allison practices her violin for at least 12 hours per week she practices for three fourths of an hour each session if Allison has already practiced 3 hours this week how many more sessions remains for her to meet or exceed her weekly practice goals.

Answers

at least 12 more sessions