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3 years ago

What is the value of x? (Type an integer or a decimal.)

Mathematics

1 answer:

AfilCa [17]3 years ago

4 0

Answer:

2.8

Step-by-step explanation:

10× X = 7× 4

X = 7×4/10 = 2.8

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Set up and evaluate the optimization problems. (Enter your answers as comma-separated lists.) Find two positive integers such th

alexira [117]

Answer and Step-by-step explanation:

Let x and y be two positive integers and their sum is 14:

X + y = 14

And the sum of square of this number is:

f = x2 + y2

= x2+ (14 – x)2

Differentiate with respect to x, we get:

F’(x) = [ x2 + (14 – x)2]’ = 0

2x + 2(14-x)(-1) = 0

2x +( 28 – 2x)(-1) = 0

2x – 28 +2x = 0

2x + 2x = 28

4x = 28

X = 7

Hence, y = 14 – x = 14 -7 = 7

Now taking second derivative test:

F”(x) > 0

For x = y = 7,f reaches its maximum value:

(7)2 + (7)2 = 49 + 49

= 98

F at endpoints x Є [ 0, 14]

F(0) = 02 + (14 – 0)2

= 196

F(14) = (14)2 + (14 – 14)2

= 196

Hence the sum of squares of these numbers is minimum when x = y = 7

And maximum when numbers are 0 and 14.

6 0

2 years ago

Will mark brainliest and thank you!!! Please help!

borishaifa [10]

The solution to the equation is x = 0, 2

The graph is posted

hope that helps :)

5 0

4 years ago

PLZZ HELP I NEED AN EXPERT ANSWER

IceJOKER [234]

This trend line shows a general pattern, and since we are with biological samples this trend line will not always be true. The outliers could be from either a genetic difference or an environmental difference that occured in the persons life.

4 0

3 years ago

What is the solution to the system of equations?<br><br> 6x – 9y = 16<br><br> 2x – 3y = 7

kifflom [539]

The first step for solving this problem is to multiply both sides of the bottom equation by -3.
$\left \{ {{6x-9y=16} \atop {-6x + 9y = -21}} \right.$
Add the two equations together.
6x - 9y - 6x + 9y = 16 - 21
Eliminate the opposites.
-9y + 9y = 16 - 21
Remember that the sum of two opposites equals 0,, so the equation becomes the following:
0 = 16 - 21
Calculate the difference on the right side of the equation.
0 = -5
This means that the statement $\left \{ {{6x-9y=16} \atop {2x-3y=7}} \right.$ is false for any value of x and y. That means that the answer to your question is (x,y) ∈ ∅,, or no solution.
Let me know if you have any further questions.
:)

8 0

3 years ago

The perimeter of a rectangular garden is $_64$_ centimeters. The length of the garden is three times the width. Find the length

CaHeK987 [17]

Answer:

length is 24 cm, width is 8 cm

Step-by-step explanation:

3 0

3 years ago