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Novay_Z [31]
3 years ago
14

What is the inverse of x=4-4y+y^2

Mathematics
1 answer:
Zarrin [17]3 years ago
5 0
To find invers
1. solve for y
2. replace y with xinverse

so

x=4-4y+y^2
reorder right side
x=y^2-4y+4
factor right side
x=(y-2)^2
squaer root both sides
+/-√x=y-2
add 2 to both sides
2+/-√x=y
switch x and y
2+/-√y=xinverse

xinverse=2+√y or 2-√y
subtract 4 from both sides






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Help me, Thanks!!
Marrrta [24]

2.) dT/dt = -t^2 + 3t

dT = (-t^2 + 3t)dt

T = -t^3/3 + 3t^2/2 + C

at 4:00 AM

80 = -4^3/3 + 3*4^2/2 + C

C = 80 + 4^3/3 - 3*4^2/2

C = 77.33

T = -t^3/3 + 3t^2/2 + 77.33

at 8:00 AM

T = -8^3/3 + 3*8^2/2 + 77.33

T = 2.67 deg

5 0
3 years ago
Which statement best describes the function below?
marta [7]
<h2>Answer:</h2>

A. It is a many-to-one function.

<h2>Step-by-step explanation:</h2>

Hello! It will be a pleasure to help to figure out what's the correct answer to this problem. First of all, we have the following function:

f(x) = 2x^3 + 2x^2-x

When plotting this function, we get the red graph of the function shown below. So let's solve this as follows:

<h3>A. It is a many-to-one function.</h3>

True

A function is said to be many-to-one there are values of the dependent variable (y-values) that corresponds to more than one value of the independent variable (x-values). To test this, we need to use the Horizontal Line Test. So let's take the horizontal line y=0.5, and you can see from the first figure below that y=0.5 is mapped onto x=-1.241 \ x=-0.344 \ and \ x=0.585. so this is a many-to-one function.

<h3>B. It is a one-to-one function.</h3><h3>False</h3>

Since this is a many-to-one function, it can't be a one-to-one function.

<h3>C. It is not a function.</h3>

False

Indeed, this is a function

<h3>D. It fails the vertical line test.​</h3>

False

It passes the vertical line test because any vertical line can intersect the graph of the function at most once. An example of this is shown in the second figure below.

6 0
3 years ago
The heavyweight weight class in high school wrestling is from no less than 195lb and a maximum 285 LB write two inequalities to
rewona [7]

Answer:

<em>w >= 195 and w <= 285</em>

Step-by-step explanation:

No less than 195 lb means that 195 lb or more is allowed.

Let w = weight.

w >= 195

A maximum of 285 lb means that 285 lb or less is allowed.

w <= 285

Answer:  w >= 195 and w <= 285

3 0
3 years ago
How many solutions does y=2x+1 and x=-3 have
Nikolay [14]

Answer:

- 5

Step-by-step explanation:

given,

the relation is y=2x+1

if x=-3 than, y =2x+1

=2 * (-3)+1

= -6+1

-5

hence, the required answer is - 5

I found any one solution of given question.

7 0
2 years ago
What is the minimum value for g(x)=x2−10x+16 ?
mr_godi [17]
G(x)=x^2-10x+16
g(x)=x^2-10x+25-25+16
g(x)= (x-5)^2-9
minimum value is -9
3 0
2 years ago
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