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
solong [7]
3 years ago
14

A mysterious box is delivered to the dinner party you are attending. The label on the box says that the volume of a box is the f

unction f(x) = x3 + 3x2 – 10x – 24. To open the box, you need to identify the correct factors of f(x). Partygoers offer up solutions, and it is your job to find the right ones.
Their suggestions are:
•(x – 1)
•(x + 2)
•(x – 3)
•(x + 4)
•(x + 6)
•(x – 12)


List the correct factors. Then justify your selections with complete sentences.
Mathematics
1 answer:
Lapatulllka [165]3 years ago
6 0
F(x) = x³ + 3x² - 10x - 24

The root factors must be the factors of 24.
1 x 24 ; 2 x 12 ; 3 x 8 ; 4 x 6.

The most probable roots would be -4, -3, -2, -1, 1, 2, 3, or 4.

Using synthetic division, one can find that the smallest root is -3.
(x - 3)(x² - 6x - 8). The quadratic can now be factored as (x + 2)(x - 4) and further factored as (x - 3)(x + 2)(x - 4). 

The correct factors are: (x - 3) (x + 2) (x - 4)
You might be interested in
Brainliest if it is right
Elena-2011 [213]

Answer:

there are three ( 3 ) possible outcomes that are 1,2 and 3

7 0
2 years ago
Read 2 more answers
The pattern of numbers below is an arithmetic sequence:
sertanlavr [38]
<span>The pattern of numbers below is an arithmetic sequence: 14, 24, 34, 44, 54, ... Which statement describes the recursive function used to generate the sequence?

<span>A. The common difference is 1, so the function is f(n + 1) = f(n) + 1 where f(1) = 14.
</span><span>B. The common difference is 4, so the function is f(n + 1) = f(n) + 4 where f(1) = 10.
</span><span>C. The common difference is 10, so the function is f(n + 1) = f(n) + 10 where f(1) = 14.
</span><span>D. The common difference is 14, so the function is f(n + 1) = f(n) + 14 where f(1) = 10.

</span></span>
4 0
3 years ago
Read 2 more answers
Hep please will give brainiest and other!!!
Vaselesa [24]

y = -9

Ok so to write the equation of the line you will need the slope and y-intercept. Since we are given two-point we can easily find the slope by using this equation for slope formula:

\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

So now that we have our equation we can just plug in the numbers:

\frac{(-9)-(-9)}{5-(-3)}

After subtracting you should get:

0/8

Since zero is in the numerator and you can't divide zero by anything, the slope is 0. We still need the y-intercept for the equation however since the slope is 0 there is no need to put anything else.

Then to find the y-intercept all you have to do is plug in one of the coordinatines into the slope equation to solve, for example, using the point (5,-9):

(-9) = 5(0) + b

B is the variable for the y-intercept. Also notice how I put 0 as our slope into the equation. Now all you have to do is solve for b. Which you would get b = -9. Since you have your slope and your y-intercept now you just write out your equatoin for the line which is:

y = 0x - 9

**Just write it as

y = -9

5 0
3 years ago
Read 2 more answers
Y=2/x-3 make x the subject​
svp [43]
Multiply both sides by x - 3 to get :

y(x - 3) = 2

yx - 3y = 2

yx = 2 + 3y

x = (2 + 3y)/y

Hope this helps! Any questions let me know :)
7 0
3 years ago
3\10 x 2\3<br><br> A.5\30<br><br><br> B.6\13<br><br><br> C.1\5<br><br><br> D.5\13
kow [346]
3/10 times 2/3 3 times 2 is 5 and 10 times 3 is 30 5/30 a
3 0
3 years ago
Read 2 more answers
Other questions:
  • How do you graph 2x-y=3
    9·2 answers
  • Trigonometric area formula: Area = What is the area of triangle PQR? Round to the nearest tenth of a square unit. 70.5 square un
    9·2 answers
  • If a car moves with an average speed of 60 km/h for an hour, it will travel a distance of
    10·1 answer
  • A geometry teacher asked Saul to define “obtuse triangle.” Saul said that an obtuse triangle is a triangle with one interior ang
    11·1 answer
  • For some job the rate will be set by a minimum specified in the fair labor standards act
    15·1 answer
  • Find all solutions to the equation 5sin(3pix)+8=4 in the interval 0 &lt; x &lt; 2<br>​
    11·1 answer
  • Find the slope of the line through the given pair of points. (-7, 16), (-18, 18)​
    14·1 answer
  • What is the measure of 2U?
    10·1 answer
  • If 1/4 of the dozen eggs were<br> cracked, how many eggs were<br> not cracked? Plz hurry
    5·2 answers
  • If computers sell for $1040 per unit and hard drives sell for $129 per unit, the revenue from x computers and y hard drives can
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!