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yuradex [85]
3 years ago
11

2(4+2x) more then or equal to 5x+5

Mathematics
1 answer:
Vadim26 [7]3 years ago
6 0
2(4+2x) is equal to 5x+5 because x=3 and if you plug it in, you get 20 for both sides.
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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
Delvig [45]
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

6 0
3 years ago
Modrater give me answer<br><br>if 2x- 35273 = 5361925 than find the value of 1x <br><br>​
Nutka1998 [239]

Answer:

2x - 35273 = 5361925 \\ 2x = 5361925 + 35273 \\ 2x = 5397198 \\ x =  \frac{5397198}{2}  \\ x = 2698599

4 0
3 years ago
Read 2 more answers
Find the general solution of {y}''-3y=8e^{3t}+4sin(t) .
babunello [35]

Answer:

y(x)=C_1e^{\sqrt3t}+C_2e^{-\sqrt3t}-\frac{4}{3}e^{3t}-sint

Step-by-step explanation:

We are given that linear differential equation

y''-3y=8e^{3t}+4 sint

Auxillary equation

D^2-3=0

D=\pm \sqrt3

C.F=C_1e^{\sqrt3t}+C_2e^{-\sqrt3}

P.I=\frac{8e^{3t}+4sin t}{D^2-3}

P.I=\frac{8e^{3t}}{9-3}+4\frac{sint }{-1-3}

P.I=e^{ax}{\phi (D+a)} and P.I=\frac{sinax}{(\phi D)}where D square is replace by - a square

P.I=-\frac{4}{3}e^{3t}- sint

Hence, the general solution

G.S=C.F+P.I

y(x)=C_1e^{\sqrt3t}+C_2e^{-\sqrt3t}-\frac{4}{3}e^{3t}-sint

3 0
3 years ago
- An expression is shown. 12.3 - (-21.45) What is the value of the expression? ​
Rus_ich [418]

Answer:

33.75

Step-by-step explanation:

12.3 -(-21.45)

12.3 + 21.45 (<em>because</em><em> </em><em>minus </em><em>of </em><em>minus </em><em>becomes</em><em> </em><em>plus)</em>

33.75

6 0
1 year ago
Bill has a rope that is 37m long. He wants to cut it into pieces that are 7 m long each. How many pieces of rope he get? How man
ki77a [65]
He will get 5 pieces of rope, with 2 meters of rope left over. This is because 37 divided by 7 is 5 with a remainder of 2
7 0
3 years ago
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