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
Alex Ar [27]
3 years ago
7

Determine the domain of the function f(x)=1/3x^2+10x+8

Mathematics
1 answer:
cricket20 [7]3 years ago
8 0
The function is
f(x) = (1/3)x² + 10x + 8

Write the function in standard form for a parabola.
f(x) = (1/3)[x² + 30x] + 8
      = (1/3)[ (x+15)²- 225] + 8
      = (1/3)(x+15)² -75 + 8
f(x) = (1/3)(x+15)² - 67

This is a parabola with vertex at (-15, -67).
The axis of symmetry is x = -15
The curve opens upward because the coefficient of x² is positive.
As x -> - ∞, f -> +∞.
As x -> +∞, f -> +∞
The domain is all real values of x (see the graph below).

Answer: The domain is (-∞, ∞)

You might be interested in
The length of a rectangle is 4 more than it's width. Write an equation that will determine the dimensions if the area of the rec
Firdavs [7]

Answer: The equation is W^2 + 4W - 96= 0

{Please note that ^2 means raised to the power of 2}

Step-by-step explanation: We have been given hints as to the measurement of the length and width of the rectangle. The length is given as four more than the width. What that means is that whatever is the width, we simply add four to get the measurement of the length. Therefore if the width is W, then the length is W + 4.

That is,

L = W + 4 and

W = W

Also we have the area given as 96.

Remember that the area of a rectangle is given as

Area = L x W.

In this question, the Area is expressed as

Area = (W + 4) x W

96 = W^2 + 4W

Subtract 96 from both sides of the equation and we have

W^2 + 4W - 96 = 0.

We now have a quadratic equation from which we can determine the dimensions of the rectangle

5 0
3 years ago
Convert. 4600 g = _____ kg​
faltersainse [42]

Answer:

4.6 Kilograms.

Step-by-step explanation:

6 0
3 years ago
What is the distance between the point (10,12) and (-4,-36)
dimulka [17.4K]
Well using distance formula

d \:  =  \sqrt{(x {}^{2} }  - x {}^{1} ) + (y {}^{2}  + y {}^{1} )
The answer I got was Distance = 45.9 what ever unit of measure it might ask for. Feel free to check my math just in case.
4 0
3 years ago
Write in exponential form. 2•2•2•x•x
Sholpan [36]
2 to the 3rd power (2^3) times x to the second (x^2)
6 0
3 years ago
Read 2 more answers
What is 2/3 times 7 wholes
Romashka-Z-Leto [24]
2/3 times 7 wholes is the same was 7 because 1 whole is 1.
What would you do it multiply the numerator and numerator so the would be 2x7. Then we would multiply the denominators. 3x1=1. Therefore the answer is 14/3.
6 0
3 years ago
Other questions:
  • F(x) = 16x4 – 81 = 0 Select all of the zeroes of the function. <br> 3/2<br> -3/2<br> 3/2i<br> -3/2i
    9·2 answers
  • PLEASE HELP I GIVE THANKS
    14·1 answer
  • If each tire costs $58.49 and if we estimate the cost of 4 tires. how much would it cost. A.$180.
    6·1 answer
  • How many inches are in 5.25 feet
    11·2 answers
  • I have a Brainliest please help
    6·1 answer
  • a jar has 170 coins. there are 50 more pennies than nickels. twice as many quarters as nickels. what are the coins?
    10·1 answer
  • Answer this please! extra points and brainliest will b given
    5·1 answer
  • PLEASE HELP!! I’L MARK AS BRAINLIEST!!
    11·1 answer
  • 2. Given: HM = VM, and ZH and cV Triangle congruence criteria,
    5·1 answer
  • Insert grouping symbols to make each number sentence true 7*8-6+3=17
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!