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
arlik [135]
3 years ago
14

Find the relative maximum and let the relative minimum pf f(x) = x3 - 3x + 1

Mathematics
1 answer:
Basile [38]3 years ago
4 0

Answer:

6

Step-by-step explanation:

You might be interested in
A line passes through the two points (-4,6) and (2,-5). Calculate the following parts:
Viktor [21]

A line passes through the two points (-4,6) and (2,-5). 11x +6y - 80 = 0 is the given line equation.

<h3>What is the slope of a line which passes through points ( p,q) and (x,y)?</h3>

Its slope would be:

m = \dfrac{y-q}{x-p}

The slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

The slope m of the line is given as

m = \dfrac{y-q}{x-p}\\\\ m = \dfrac{-5-6}{2+4}\\\\ m = \dfrac{-11}{6}

The equation of a line is  

( y -y_0) = m (x - x_0)\\\\( y -6) = \dfrac{-11}{6}  (x+4)\\\\6( y -6) = (-11)  (x+4)\\\\6y -36 = (-11x +44)\\\\11x +6y - 80 = 0

Hence, the equation is  11x +6y - 80 = 0

Learn more about slopes here:

brainly.com/question/2503591

#SPJ4

8 0
1 year ago
Two lines or equations are described in each part. Decide whether each system has one solution, no solution, or infinitely many
Vedmedyk [2.9K]
It has no solution bc there or no point and because its not the same line 
7 0
3 years ago
50 POINTS!
Furkat [3]

Answer:

1.

a) 357 inches³ of water more would be required to fill the tank

b) Riley is not correct, the volume of the larger aquarium is 27

   times larger than the volume of the smaller on

c) Riley is not correct, the surface area of the larger aquarium is 9

   times the surface area of the smaller one

2.

a) There are 8 boxes of office supplies can be packed into

   the larger box for shipping

b) The surface area of the shipping box is 567 inches²

Step-by-step explanation:

1.

a) * Lets study the first aquarium:

- The formula for volume is V = l × w × h

∴ It is a rectangular box of dimensions 16 in , 8.5 in , 10.5 in

∴ Its volume = 16 × 8.5 × 10.5 = 1428 inches³

* The full capacity of this aquarium is 1428 inches³

- Riley noticed that it 3/4 full of water, then still can fill with

 1/4 to be full

- Why 1/4 because 1 - 3/4 = 1/4

∴ The volume of 1/4 the aquarium = 1/4 × 1428 = 357 inches³

* There are 357 inches³ of water more would be required to fill the tank

b) * Lets talk about the larger aquarium

- Each dimension will be triple to construct the larger aquarium

- That means we will multiply each dimension of the small aquarium by 3

- That means the ratio between each dimension in the larger

  aquarium to the smaller aquarium is 3 : 1

∴ The ratio between their volumes will be (3 : 1)³

- Because we will multiply each dimension by 3 and they

  are 3 dimensions, that means 3 × 3 × 3 ⇒ 3³

∴ The ratio between their volumes = 27 : 1

∴ Riley is not correct because the volume of the larger aquarium is 27

   times larger than the volume of the smaller aquarium

c) * Similar for the surface area of the larger aquarium

- Each dimension will be triple to construct the larger aquarium

- That means we will multiply each dimension of the small aquarium by 3

- That means the ratio between each dimension in the larger

  aquarium to the smaller aquarium is 3 : 1

∴ The ratio between their surface area will be (3 : 1)²

- Because we will multiply each dimension by 3 and to get the

 surface area we multiply each two dimensions for the six faces

 and then add them

∴ The ratio between their surface area = 9 : 1

∴ Riley is not correct because the surface area of the larger aquarium

  is 9 times larger than the surface area of the smaller aquarium

2.

a) * Lets think about this situation

- We want to fill some office supplies boxes of side length

 4.5 inches inside the shipping box of dimensions 18 in , 9 in , 4.5 in

- That means the volume of the shipping box is how many times

 the volume of the office supplies box

∴ The number of office supplies boxes = the volume of shipping box ÷ the volume of the office supplies box

∵ the volume of shipping box = 18 × 9 × 4.5 = 729 inches³

∵ the volume of the office supplies box = 4.5 × 4.5 × 4.5 = 91.125 inches³

∴ The number of office supplies boxes = 729 ÷ 91.125 = 8 boxes

* There are 8 boxes of office supplies can be packed into

   the larger box for shipping

b) Look to the Net of the shipping box

- The net has 6 faces shaped rectangles

- Each two faces are congruent

- To find the surface area we will add all the areas of the 6 faces

- Two faces with dimensions 18 in and 9 in

∴ Their areas = 2 (18 × 9) = 324 inches²

- Two faces with dimensions 18 in and 4.5 in

∴ Their areas = 2 (18 × 4.5) = 162 inches²

- Two faces with dimensions 4.5 in and 9 in

∴ Their areas = 2 (4.5 × 9) = 81 inches²

∴ The total surface area = 324 + 162 + 81 = 567 inches²

* The surface area of the shipping box is 567 inches²

3 0
3 years ago
Bob can draw 14 shapes in 7 minutes.how long does it take bob to draw 28 shapes at the same rate
miss Akunina [59]
It will take 14 minutes.
5 0
2 years ago
Read 2 more answers
Write an equation of a line that is perpendicular to the line x-2y=8
Helen [10]

2x+y=8 is the equation perpendicular to x-2y=8.

6 0
3 years ago
Read 2 more answers
Other questions:
  • How would you use a model to determine the approximate formula for the area of a circle with a diameter of 8 cm, and connect the
    10·2 answers
  • What is the mean for this data. Plz explain
    11·1 answer
  • What is the surface area of the figure shown?
    11·1 answer
  • A grocer stacks oranges in a four sided pyramid that is 6 layers high. How many oranges are in the pile
    9·2 answers
  • A truck can be rented from Company A for $120 a day plus $0.70 per mile. Company B charges $80 a day plus $0.90 per mile to rent
    6·1 answer
  • X=0,100,200,300, y=3.5,38.5 73.5, 108.5
    12·2 answers
  • RST has vertices R(0,0), S(6,3), and 7(3,-3). R'S'T is the image of RST after adilation with center (0,0) and scale factor 1/3.
    12·1 answer
  • 8x+5 with an explanation
    10·2 answers
  • Find the area, in square units, of ️ABC​
    11·1 answer
  • Can Somone help me please :))
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!