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
Serhud [2]
3 years ago
10

A rectangular poster is to contain 722 square inches of print. the margins at the top and bottom of the poster are to be 2 inche

s, and the margins on the left and right are to be 1 inch. what should the dimensions of the poster be so that the least amount of poster is used?
Mathematics
1 answer:
Delvig [45]3 years ago
6 0
Let
x ----------> the height of the whole poster
<span>y ----------> the </span>width<span> of the whole poster
</span>
We need to minimize the area A=x*y

we know that
(x-4)*(y-2)=722
(y-2)=722/(x-4)
(y)=[722/(x-4)]+2

so
A(x)=x*y--------->A(x)=x*{[722/(x-4)]+2}
Need to minimize this function over x > 4

find the derivative------> A1 (x)
A1(x)=2*[8x²-8x-1428]/[(x-4)²]

for A1(x)=0
8x²-8x-1428=0
using a graph tool
gives x=13.87 in

(y)=[722/(x-4)]+2

y=[2x+714]/[x-4]-----> y=[2*13.87+714]/[13.87-4]-----> y=75.15 in

the answer is
<span>the dimensions of the poster will be
</span>the height of the whole poster is 13.87 in
the width of the whole poster is 75.15 in

You might be interested in
I need an emergency help plssssss! :(
aivan3 [116]

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

4 0
2 years ago
Read 2 more answers
Seriously need of help, Find the surface area of a sphere having a radius of 4".
Helen [10]
A = 4 π r²
A = 4 π 4²
A = 4 π 16
A= 64π sq in
7 0
3 years ago
First drop down menu: 8.5, 40, 4, 7.5, 0
sashaice [31]

1st: 0.5 x 8 = 4

2nd: 2 x 8 = 16

3rd: 0.5 x 2 = 1

4th: 2 x 2 = 4

5 0
3 years ago
Create a graph of the combined function h(x) = f(x) / g(x) in which f(x) = x - 6 and g(x) = x + 6. On your graph, show the graph
Jet001 [13]

Answer:

we have

f(x)=x-6f(x)=x−6 -----> equation A

This is a linear equation with slope m=1m=1 and a y-intercept equal to -6−6

g(x)=x+6g(x)=x+6 -----> equation B

This is a linear equation with slope m=1m=1 and a y-intercept equal to 66

The function f(x) and g(x) are parallel lines

we know that

h(x)=f(x)+g(x)h(x)=f(x)+g(x)

Substitute

h(x)=x-6+x+6h(x)=x−6+x+6

h(x)=2xh(x)=2x

This is a linear equation with slope m=2m=2 that passes through the origin ( represent a direct variation)

Using a graphing tool

see the attached figure

4 0
3 years ago
I dont get this problem! Please help!
77julia77 [94]

Answer:


Step-by-step explanation:

Given that a box has cards numbered 1 ,2,3

Also a bag has three balls labelled A, B and C

Sample space = {(1,A)(1,B)(1,C) (2,A)(2,B)(2,C)}  n(S) = 9

Mary will randomly pick up a card from the 3 cards and also pick up a ball from the bag of 3 balls.

The sample space contains the combination of letter on the card and number on the ball.

Event that the number chosen is 1 is

{(1,A)(1,B)(1,C)}:  n(event of choosing 1)=3


7 0
4 years ago
Other questions:
  • 14 miles in 4 hour what is average rate of speed
    7·2 answers
  • How do you simplify 6/8
    7·2 answers
  • What’s the difference between the surface area and volume of a shape and why is this the case?
    14·1 answer
  • Name the opposite of 7
    13·1 answer
  • ​Dustin wants to buy a new gaming computer that costs $1,005. ​He has saved $487. How much more money does Dustin need to ​buy t
    10·2 answers
  • Select the function that represents a parabola with vertex at (2,-1) and a point (5,8) on its curve
    5·1 answer
  • 3(2x + 4y - 2z) + 7(x + y - 4z)
    7·1 answer
  • Jasmine bought 6.4 pounds of chewy candy from the local confectionary store. If she gave 2.06 pounds of the candy to her little
    5·1 answer
  • The sum of a number and four times the number
    9·1 answer
  • 33. Simplify : 840 = 7 -20 × 4​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!