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
Setler [38]
3 years ago
6

(9x²+24x-8)-(5x²+3x+10)

Mathematics
1 answer:
motikmotik3 years ago
8 0

Answer:

4x^2 + 21x - 18

Step-by-step explanation:

(9x^2+24x-8)-(5x^2+3x+10)

9x^2+24x-8-5x^2-3x-10

9x^2 - 5x^2 = 4x^2

24x - 3x = 21x

-8 - 10 = -18

Answer: 4x^2 + 21x - 18

You might be interested in
What is 2/5 divided by 1/4
Virty [35]
The answer for 2/5 divided by 1/4 is 0.1
8 0
3 years ago
Jane needs open-topped boxes to store her excess inventory at year's end. She purchases large
Debora [2.8K]

Answer:

x = 1,6 in   ( the side of the corner squares )

V(max) = 67,58 in³

Step-by-step explanation:

The cardboard is:

L = 12 in          w  =  8 in

Let´s call "x" the side of the square from the corner:

Then the sides of the base of the open box are:

( L - 2*x )    and    ( w - 2*x )     and   x is the height

( 12  -  2*x )  and  ( w  - 2*x )

V(ob) = (L - 2*x ) * (  - 2*x ) * x

Wich is a function of x

V(x) = [( 12 - 2*x ) * ( 8 - 2*x ) ]*x

V(x) = ( 96 - 24*x - 16*x + 4*x²) * x

V(x) = 96*x - 40*x² + 4*x³

Tacking derivatives on both sides of the equation

V´(x) = 12*x² - 80*x + 96

V´(x) = 0     12*x² - 80*x + 96 = 0

Solving for x

x₁,₂ = 80 ± √ 6400 - 4608 / 24

x₁,₂ = 80 ± 42,33 / 24

x₁ = 5,10       We dismiss this solution since 2*x  becomes 2*5,10 = 10,20

ant this value is bigger than 8 inches

x₂ = 1,60 in

Therefore dimensions of the box

a = 12 - 2*x     ;  a =  12 - 3,20  ;  a = 8,8 in

b = 8 - 2*x   ; b = 8 - 3,20  ; b =  4,80  in

And the volume of the open box is:

V(max) = 8,8*4,8*1,6

V(max)  =  67,58 in³

How do we Know that is the maximun value for V?

We find  V´´(x)  = 24*x - 80     for  x = 1,6 is negative ( V´´(x) = - 41,6 therefore V (x) has  a local maximun for a value of x = 1,6

3 0
3 years ago
Please Help!!!!!!!!!
marissa [1.9K]
124 square units
you just have to count the top, bottom, and a side and times by 2
4 0
3 years ago
20 POINTS! First question correct will mark brainliest!
sladkih [1.3K]

Answer: -10.5, -3.5, -8.75

Or 3 depending on how you solve

Step-by-step explanation: x = g (x) therefore where it crosses the X intercept those are your answer

4 0
3 years ago
Read 2 more answers
Which numbers below belong to the solution set of the equation 16x=224
Taya2010 [7]

x would equal 14 hope this helps

5 0
3 years ago
Other questions:
  • Edgar purchased a home for $182,100 to home appreciates about 3.5% each year what is the value of the home after 12 years
    5·1 answer
  • Last month a cafe had 3200 customers 600 of them ordered gluten-free meals
    8·1 answer
  • Answer this please! extra points and brainliest will b given
    5·1 answer
  • Write each expression in exponential form and find its value.<br><br> 2 x 2 x 2 x 2
    8·2 answers
  • Complementary angles have a sum of 90 degrees <br>true or false​
    6·1 answer
  • A surveyor has poles A, B, and C set to form a right triangle with the right angle at B. If the distance from A to B is 35 meter
    8·1 answer
  • A building in the shape of a pyramid was recently built. Each side of the pyramid’s square base has a length of 40 feet and the
    14·1 answer
  • There are 10 Pokémon cards on a table. Three are identical Pikachu cards, two are identical Charmander
    12·1 answer
  • Pleaseeeeeeeeee help DO ALL 3 PLEASE AND THANK YOU
    13·1 answer
  • Convert 15 inches to yards. Show your work.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!