1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sedbober [7]
1 year ago
12

What is the domain and range of -4.92x² + 17.96x + 575

Mathematics
1 answer:
klio [65]1 year ago
6 0

The domain of the function is D ∈ R or (-∞, ∞) and the range of the function is R ∈ (591.39, ∞)

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) = -4.92x² + 17.96x + 575

The above function is a quadratic function and we know,

The quadratic function domain is all real numbers.

The domain of the function is all real numbers or

D ∈ R or (-∞, ∞)

The range:

From the graph of a function:

The maximum value of the graph:

f(1.825) = 591.39

So the range of the function:

R ∈ (591.39, ∞)

Thus, the domain of the function is D ∈ R or (-∞, ∞) and the range of the function is R ∈ (591.39, ∞)

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

You might be interested in
The position of an object moving along an x axis is given by x = 3.24 t - 4.20 t2 + 1.07 t3, where x is in meters and t in secon
Pavel [41]

Answer and explanation:

Given : The position of an object moving along an x axis is given by x=3.24t-4.20t^2+1.07t^3 where x is in meters and t in seconds.

To find : The position of the object at the following values of t :

a) At t= 1 s

x(t)=3.24t-4.20t^2+1.07t^3

x(1)=3.24(1)-4.20(1)^2+1.07(1)^3

x(1)=3.24-4.20+1.07

x(1)=0.11

b) At t= 2 s

x(t)=3.24t-4.20t^2+1.07t^3

x(2)=3.24(2)-4.20(2)^2+1.07(2)^3

x(2)=6.48-16.8+8.56

x(2)=-1.76

c) At t= 3 s

x(t)=3.24t-4.20t^2+1.07t^3

x(3)=3.24(3)-4.20(3)^2+1.07(3)^3

x(3)=9.72-37.8+28.89

x(3)=0.81

d) At t= 4 s

x(t)=3.24t-4.20t^2+1.07t^3

x(4)=3.24(4)-4.20(4)^2+1.07(4)^3

x(4)=12.96-67.2+68.48

x(4)=14.24

(e) What is the object's displacement between t = 0 and t = 4 s?

At t=0, x(0)=0

At t=4, x(4)=14.24

The displacement is given by,

\triangle x=x(4)-x(0)

\triangle x=14.24-0

\triangle x=14.24

(f) What is its average velocity from t = 2 s to t = 4 s?

At t=2, x(2)=-1.76

At t=4, x(4)=14.24

The average velocity  is given by,

\triangle x=x(4)-x(2)

\triangle x=14.24-(-1.76)

\triangle x=14.24+1.76

\triangle x=16

4 0
3 years ago
PLS HELP! (it will only let me do 31 points :() but you get brainliest.
MissTica

Answer:

107, there is two lines after that so 108 109 and the last line is 110 so your answer will be 107 degrees.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which of these values cannot represent the probability of an event happening?
ololo11 [35]

Answer:

D.

Step-by-step explanation:

The last option, 1.2, cannot represent the probability of an event happening since it is more than 100% (120%). And event cannot have a higher probability of happening than "happening".

A. 0.33 is a valid response, since it represents 33%.

B. 56% is also a valid response.

C. 7/8 is also a valid response since it represents 0,875 or 87,5%.

Hope it helped,

BiologiaMagister

6 0
3 years ago
Read 2 more answers
Find the product.<br><br> (2p + 7)(3p - 9)
Yakvenalex [24]
I think the answer might be 6p^2+3p-63
6 0
3 years ago
Help please. Thanks in advance
anygoal [31]
Since they want only the coordinates of the vertices. You only care about where the lines intersect, the greater than, less than signs are irrelevant.

Get each equation in 'y=mx+b' form
1)  y = -x + 9
2)  y = 2x-21
3)  y = -4x +15

Now you can set any 2 equations equal to each other and solve for 'x'.
This will be the 'x' coordinate of the point where the 2 lines intersect.
You need 3 points, so you will need 3 different sets of 2 equations:

1) = 2)
2x -21 = -x+9
3x = 30
x = 10  -----> y = -(10)+9 = -1


1) = 3)
-x+9 = -4x+15
3x = 6
x = 2  -------> y = -(2) + 9 = 7

2) = 3)
2x - 21 = -4x+15
6x = 36
x = 6  ---------> y = 2(6) -21 = -9

Therefore the 3 intersecting points are:
(10,-1)
(2, 7)
(6, -9)
6 0
3 years ago
Other questions:
  • HELP ASAP<br> All 3 questions Pls
    9·1 answer
  • On a string of lights for every six screen lights there are four white if there are 30 green lights how many white lights are th
    10·1 answer
  • Find the missing numbers. what is the rule? <br><br>​
    7·1 answer
  • Does the equation y=14x represennt a proportinal relationship?
    9·1 answer
  • The graph of the equation y=−5x+b goes through the point A(5, −2). Find the value of b.​
    10·2 answers
  • Help please!! i need this last one to finish!!!! 44 points!!
    7·1 answer
  • 9 fourths = ______ divided by 4 (Fill In The Blank
    12·1 answer
  • Area of rectangular figures​
    10·1 answer
  • 3 The table shows the average mass, in kilograms, of different sizes of cars and trucks. Size Small Car Large Car Large Truck Av
    14·1 answer
  • Solve it please ☹️ hehdhdbssbdvs
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!