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
What plus what equals negative 14
Firdavs [7]
There are a lot but when I think of it I think -14+0
8 0
4 years ago
Is y=1/2x-9proportional
Verizon [17]
It’ equals h=/y8x ok that is simple
6 0
3 years ago
Read 2 more answers
Which of these statements is true for f(x) = (1/2)^x
Ann [662]
<h3>Answer:  D) The y intercept is (0,1)</h3>

This can be confirmed by plugging x = 0 into the function to find that...

y = (1/2)^x

y = (1/2)^0

y = 1

Recall that any nonzero value to the 0th power leads to 1. So we can say x^0 = 1 as long as x is not zero.

---------------

Extra info (optional section):

  • We can rule out choice A because negative x values work in the domain. For instance, if x = -1, then it leads to y = (1/2)^x = (1/2)^(-1) = 2. The negative exponent will apply the reciprocal operation to the base fraction.
  • Choice B can also be ruled out because the range is y > 0. Or you could note that it is possible to get positive y values smaller than 1/2. Try x = 2 and you'll see it leads to y = 1/4 which is not greater than 1/2.
  • Choice C is false as well. The function f(x) = (1/2)^x is decreasing throughout the domain. A graph visually would show this due to it going downhill when moving from left to right. A table of values is a non-visual way to see we have a decreasing function. The table would show that y decreases when x increases.
6 0
3 years ago
Read 2 more answers
2560 round to the nearest thousand
malfutka [58]
3,000

whenever a number is 500 or over, you round it to the next thousand

hope this helps! :)
6 0
3 years ago
Read 2 more answers
20 is what percent of 16?
Airida [17]

Reading through the problem we have "20 is", that's

"20 equals", "what percent", "x/100", "of 16", times 16.

So we have the equation 20 = x/100 · 16.

So cross-canceling the 16 and 100 to 4 and 25, we have 20 = 4x/25.

Multiply both sides by 25 to get rid of the

fraction and we have 500 = 4x so 125 = x.

Remember the =question is asking for "what percent"

so we should write our answer as 125%.

Finally, check to see if the answer makes sense.

Does "20 is 125% of 16" make sense?

3 0
3 years ago
Other questions:
  • Denis, Vera, and Yash are rock climbers. Yash is connected to Vera by a
    11·2 answers
  • In a study of a weight loss​ program, 5 subjects lost an average of 42 lbs. It is found that there is about a 39​% chance of get
    6·1 answer
  • michael found a job listed in the classified ads that pays a yearly salary of $57.3k what is the weekly salary based on this ann
    6·1 answer
  • Please help!! :(((((
    14·1 answer
  • The product of two rational is (-28/81).if one of the number is -4/15.find other
    12·1 answer
  • 20 POINTS!!! DO NOT GIVE ME THE ANSWER TO THE QUESTION! Please just tell me how I can find the answer.
    11·1 answer
  • A craft stores sells ribbons in packages of different lengths the price of each package is shown which package offers the lowest
    9·2 answers
  • Please answer ASAP In this figure angle ABC is 14 X -12, angle ABD is x, and angle DBC is 30°. The measure of angle ABC is what
    7·1 answer
  • Pls help I’m failing<br> Is it rational or<br> Irrational show your work
    8·1 answer
  • What happens to the value of the expression 35 + k as k decreases?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!