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Hitman42 [59]
3 years ago
15

Solve the equation. у+ 3 = -у +9 y=1 y= 3 y= 6 y= 9

Mathematics
1 answer:
Anna007 [38]3 years ago
8 0
The first y equals -3 and the second y equals -9
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Two numbers whose sum is 44 and whose product is a maximum
Mashcka [7]

Answer:

x = y = 22

Step-by-step explanation:

It would help to know your math course. Do you know any calculus? I'll assume not.

Equations

x + y = 44

Max = xy

Solution

y = 44 - x

Max = x (44 - x)                    Remove the brackets

Max = 44x - x^2                   Use the distributive property to take out - 1 on the right.

Max = - (x^2 - 44x )               Complete the square inside the brackets.

Max = - (x^2 - 44x + (44/2)^2 ) + (44 / 2)^2 . You have to understand this step. What you have done  is taken 1/2 the x term and squared it. You are trying to complete the square. You must compensate by adding that amount on the end of the equation. You add because of that minus sign outside the brackets. The number inside will be minus when the brackets are removed.

Max = -(x - 22)^2 + 484

The maximum occurs when x = 22. That's because - (x - 22) becomes 0.

If it is not zero it will be minus and that will subtract from 484

x + y = 44

xy = 484

When you solve this, you find that x = y = 22 If you need more detail, let me know.


4 0
2 years ago
A moving box has a square base with an area of 324 in². It's height is 24 inches. What is the volume of the moving box?
Roman55 [17]

The volume of the moving box will be 7776 cubic inches,.

<h3>What is the volume of the rectangular prism?</h3>

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as

V = L × W × H

V = Base area x height

A moving box has a square base with an area of 324 in².

Its height is 24 inches.

Then the volume of the moving box will be

V = Base area x height

V = 324 x 24

V = 7776 cubic inches

More about the volume of the prism link is given below.

brainly.com/question/16246207

#SPJ1

3 0
1 year ago
2(x+1)=3x-x+2 help fast and show work please
Stells [14]

Answer:

0=0

Step-by-step explanation:

2(x+1)=3x-x+2\\\\\mathrm{Add\:similar\:elements:}\:3x-x=2x\\2\left(x+1\right)=2x+2\\\\\mathrm{Expand\:}2\left(x+1\right):\quad 2x+2\\2x+2=2x+2\\\\\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}\\2x+2-2=2x+2-2\\\\Simplify\\2x=2x\\\\\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}\\2x-2x=2x-2x\\\\Simplify\\0=0\\\\\mathrm{True\:for\:all}\:x

5 0
3 years ago
Find the value of x in the triangle.
Vinvika [58]

=  > 3x + 15 + 4x + 12 = 180 \\  =  > 7x + 27 = 180 \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  =  >  \: 7x = 180 - 27 = 153 \:  \:  \:  \:  \\ x =  \frac{153}{7} = 21  \\ x = 21

3 0
2 years ago
Suppose △NBG≅△WTS. What is the corresponding congruent part for each segment or angle?
Anna71 [15]
NG ( first and last letter of NBG)  = WS ( first and last letter of WTS).

BG = TS

G = S 

N =W
5 0
2 years ago
Read 2 more answers
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