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denis23 [38]
3 years ago
13

The sum of two numbers is 61. If the larger number is seven less than three times the smaller number, find both numbers.

Mathematics
1 answer:
Julli [10]3 years ago
3 0

Answer:

x = 17, y = 44

Step-by-step explanation:

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A rectangular field on a farm is to be fenced in using the wall of the barn for one side and 200 meters of fencing for the other
vitfil [10]

Answer:

Rectangular area as a function of x :   A(x)  = 200*x  + 2*x²

A(max) = 5000 m²

Dimensions:

x = 50 m

l  = 100 m

Step-by-step explanation:

"x" is the length of the perpendicular side to the wall of the rectangular area to be fenced, and we call "l" the other side (parallel to the wall of the barn) then:

A(r) = x* l     and the perimeter of the rectangular shape is

P = 2*x + 2*l   but we won´t use any fencing material along the wll of the barn therefore

P  =  2*x + l       ⇒   200 = 2*x  + l      ⇒   l  = 200 - 2*x      (1)

And the rectangular area as a function of x is:

A(x)  = x * ( 200 - 2*x)  ⇒  A(x)  = 200*x  + 2*x²

Taking derivatives on both sides of the equation we get:

A´(x)  =  200 - 4*x     ⇒   A´= 0

Then    200 - 4*x  = 0     ⇒   4*x =  200   ⇒  x  = 50 m

We find the l value, plugging the value of x in equation (1)

l  = 200 - 2*x     ⇒ l = 200 - 2*50   ⇒  l = 100  m

A(max)  =  100*50

A(max)  = 5000 m²

3 0
4 years ago
Division of fraction 3/5 divided by 10/11
Tema [17]
3/5 ÷ 10/11
multiply by the inverse

3/5 x 11/10 = 33/50
3 0
3 years ago
Read 2 more answers
2
Butoxors [25]

Answer:

C

Step-by-step explanation:

Perhaps the most common examples of high-risk loans are those issued to individuals without a strong credit rating

8 0
3 years ago
Solve the equation for x :
fiasKO [112]
X=8 my photo has the work done

5 0
3 years ago
Find all solutions of the equation in the interval [0, 2π).
skelet666 [1.2K]

Answer:

x=0

Step-by-step explanation:

4 \cos(x)  = -  \sin {}^{2} (x)  + 1

4 \cos(x)  = 1 -  \sin {}^{2} (x)

4 \cos(x)  =  \cos {}^{2} (x)

4 \cos(x)  -  \cos {}^{2} (x)  = 0

\cos(x) (4 -  \cos(x) ) = 0

\cos(x)  = 0

x = 0

4 -  \cos(x)  = 0

\cos(x)  = 4

There is no solution here because cosine is undefined it the range is not between -1 and 1 so the only answer is 0.

6 0
2 years ago
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