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
Anna35 [415]
3 years ago
7

Which expression is equivalent to (5x + 2) + (5x + 2) + (5x + 2) for all values of x? A) 3(5x + 2) B) 3(x + 2) C) 5(x + 3) D) 5(

x + 2)
Mathematics
1 answer:
ipn [44]3 years ago
7 0

Answer:

3*(5x + 2)   choice A

Step-by-step explanation:

(5x + 2) + (5x + 2) + (5x + 2) for all values of x

(5x + 2) + (5x + 2) + (5x + 2)  = 3*(5x + 2)   choice A

You might be interested in
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, I dont know the answer, can someone tell me the answer please and explain it?
sergiy2304 [10]

Answer:

Kristen is correct.

2^3 is the same thing as 2 times 2, times 2. 2 cubed = 8.

5 0
3 years ago
Figure ABCD is a square. Prove BD ≅ AC. Statements Reasons 1. ABCD is a square 1. given 2. ∠DAB, ∠ABC, ∠BCD, and ∠CDA are right
FromTheMoon [43]
A. all sides are congruent. :) 

4 0
3 years ago
Read 2 more answers
Please help due soon
Schach [20]

Answer:

You should divide (÷)

Step-by-step explanation:

4.80÷ 80/100

then u add them together and get ur answer

4 0
3 years ago
A three-dimensional representation of an object or structure having all parts in the same proportion of their true size is calle
Rasek [7]

Answer:

Is called an Isometric projection

5 0
2 years ago
Other questions:
  • In triangle JKL, solve for x
    5·2 answers
  • Mark and Heather Starr are celebrating their 25th anniversary by having a reception at a local reception hall. They have budgete
    8·1 answer
  • What is the slope-intercept form of the function that contains the point (6, 2) and has a slope of 3?
    10·1 answer
  • What is the total cost, in dollars, to have the logo painted on the office building?
    9·1 answer
  • A
    13·1 answer
  • Help plsss for brainliest
    5·1 answer
  • If you answer i will givie you brainliest
    13·1 answer
  • Please help, will mark brainliest if its fully done.
    9·1 answer
  • Distribute and the combine like terms 5-3(n+4) -2
    13·1 answer
  • Find the solution of the given simultaneous equations<br> y = 2x - 3<br> 3x - 2y = 4
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!