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
sergejj [24]
3 years ago
14

Create the f(x) function based on the table. Your answer should be in function notation. X f(x) - 10 -6 -9 -5 1-8 -4 -7 1-3 5 9​

Mathematics
1 answer:
Minchanka [31]3 years ago
6 0

Answer:

f(x) = x + 4

Step-by-step explanation:

First create an equation in slope-intercept form, y = mx + b. To do this, find the rate of change or slope (m), and the y-intercept (b).

Using two pairs, (-7, -3) and (-8, -4),

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-4 -(-3)}{-8 -(-7)} = \frac{-1}{-1} = 1

m = 1

To find b, substitute m = 1, x = -7 and y = -3 into y = mx + b.

Thus:

-3 = (1)(-7) + b

-3 = -7 + b

-3 + 7 = b

4 = b

b = 4.

Replace y with f(x), m with 1 and b with 4 in y = mx + b.

The function would be:

f(x) = x + 4

You might be interested in
Which of the following graphs represents a function?
Evgesh-ka [11]

For something to be a function, each input (x value) can only have ONE output (y value)

If an input has multiple outputs, it is not a function.    

so the last graph represents a function (parabola going down)

4 0
2 years ago
The verbal expression for 15+r
Vadim26 [7]
Fifteen increased by a number
4 0
3 years ago
Please I need help with this
Vera_Pavlovna [14]

Step-by-step explanation:

The x are the values that you have been given

6 0
2 years ago
A 1.5-mm layer of paint is applied to one side of the following surface. Find the approximate volume of paint needed. Assume tha
Mariulka [41]

Answer:

V = 63π / 200  m^3

Step-by-step explanation:

Given:

- The function y = f(x) is revolved around the x-axis over the interval [1,6] to form a spherical surface:

                                 y = √(42*x - x^2)

- The surface is coated with paint with uniform layer thickness t = 1.5 mm

Find:

The volume of paint needed

Solution:

- Let f be a non-negative function with a continuous first derivative on the interval [1,6]. The Area of surface generated when y = f(x) is revolved around x-axis over the interval [1,6] is:

                           S = 2*\pi \int\limits^a_b { [f(x)*\sqrt{1 + f'(x)^2} }] \, dx

- The derivative of the function f'(x) is as follows:

                            f'(x) = \frac{21-x}{\sqrt{42x-x^2} }

- The square of derivative of f(x) is:

                            f'(x)^2 = \frac{(21-x)^2}{42x-x^2 }

- Now use the surface area formula:

                           S = 2*\pi \int\limits^6_1 { [\sqrt{42x-x^2} *\sqrt{1 + \frac{(21-x)^2}{42x-x^2 } }] \, dx\\\\S = 2*\pi \int\limits^6_1 { [\sqrt{42x-x^2+(21-x)^2} }] \, dx\\\\S = 2*\pi \int\limits^6_1 { [\sqrt{42x-x^2+441-42x+x^2} }] \, dx\\\\S = 2*\pi \int\limits^6_1 { [\sqrt{441} }] \, dx\\S = 2*\pi \int\limits^6_1 { 21} \, dx\\\\S = 42*\pi \int\limits^6_1 { dx} \,\\\\S = 42*\pi [ 6 - 1 ]\\\\S = 42*5*\pi \\\\S = 210\pi

- The Volume of the pain coating is:

                           V = S*t

                           V = 210*π*3/2000

                          V = 63π / 200 m^3

8 0
3 years ago
Read 2 more answers
You are painting your two car garage, including the door. The walls measure 12 feet by 12 feet, with a 10-foot ceiling. How many
DENIUS [597]

Answer:

1.2 gallons

Step-by-step explanation:

We assume that each room is rectangular with four walls and no doors. If the dimensions are length l, by width w with height h, then there are two walls with area l*h and two walls with w*h.

The total area of the room is thus: 2lh + 2wh = 2h(l+w).

l = 12ft, w = 12ft, h = 10ft  (all given)

Area of walls = 2h(l+w) = 2*10(12+12)

Area = 2*10*24 = 480 square feet

Each gallon of paint covers 400 square feet. So, you will need to buy

480 / 400 = 1.2 gallons

You will need to buy 2 gallons

5 0
3 years ago
Other questions:
  • Given the quadratic equation 8-6x=-2x^2 complete the following:
    11·1 answer
  • What is the slope??????
    12·2 answers
  • the perimeter of a triangle is 59 in. The longest side is 11in. longer than the medium side, and the medium side is 3in longer t
    13·1 answer
  • The length of a rectangle is 5 yd more than double the width, and the area of the of the rectangle is 42 yd to the second power
    6·1 answer
  • I organized an ocean cleanup and we collected a total of 25 pounds of garbage 16 pounds of the garbage consisted of plastic what
    6·2 answers
  • I AM GIVING AWAY 25 POINTS TO BEST ANSWER PLEASE HELP! I AM GIVING LOTS OF POINTS FOR THIS! Cube shaped boxes of tissue are ship
    6·2 answers
  • Question
    15·2 answers
  • Find the surface area of the figure below
    10·1 answer
  • What is the distance from (4, -4) to (-7, -8)
    13·2 answers
  • What is the slope of the line represented by the equation y = -2/3- 5
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!