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Mrac [35]
4 years ago
8

Among all pairs of numbers with a sum of 219, find the pair whose product is maximum. Write your answers as fractions reduced to

lowest terms.
Mathematics
1 answer:
tatiyna4 years ago
5 0
The answer is 219/1000
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Help...please?? Thanks guys
vfiekz [6]

Answer:

x=20

Step-by-step explanation:

The Pythagorean theorem is

a^2 +b^2 = c^2

where a and b are the legs and c is the hypotenuse.

The legs are x and 15 and the hypotenuse is 25

x^2 + 15^2 = 25^2

x^2 +225 = 625

Subtract 225 from each side

x^2 +225-225 = 625-225

x^2 = 400

Take the square root of each side

sqrt(x^2) = sqrt(400)

x = 20

4 0
3 years ago
Read 2 more answers
Zoey purchased a new car in 1992 for \$28,000$28,000. The value of the car has been depreciating exponentially at a constant rat
elena-s [515]
400$
Explanation:
In 1992, the price is 28000$ and 9600$ in 1996 so in 4 years the value the car lost is 18400$
Dividing 18400 by 4 years we get 4600 depreciation value per year.
Between 1996 and 1998 there is 2 years
So in 1998 the value of the car will be:
9600 (value in 1996) - 2x4600 = 400$
3 0
3 years ago
Read 2 more answers
What is f ( -2) for f f(x) = 1/2 x2
sergij07 [2.7K]
I think 20 ft bc microwaves are cool
7 0
3 years ago
Solve 12^x^2+5x-4 = 12^2x+6
faust18 [17]

The solutions for ‘x’ are 2 and -5

<u>Step-by-step explanation:</u>

Given equation:

                    12^{x^{2}+5 x-4}=12^{2 x+6}

Since the base on both sides as ‘12’ are the same, we can write it as

                     x^{2}+5 x-4=2 x+6

                     x^{2}+5 x-2 x-4-6=0

                     x^{2}+3 x-10=0

Often, the value of x is easiest to solve by a x^{2}+b x+c=0 by factoring a square factor, setting each factor to zero, and then isolating each factor. Whereas sometimes the equation is too awkward or doesn't matter at all, or you just don't feel like factoring.

<u>The Quadratic Formula:</u> For a x^{2}+b x+c=0, the values of x which are the solutions of the equation are given by:

                       x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Where, a = 1, b = 3 and c = -10

                       x=\frac{-3 \pm \sqrt{(-3)^{2}-4(1)(-10)}}{2(1)}

                       x=\frac{-3 \pm \sqrt{9+40}}{2}

                       x=\frac{-3 \pm \sqrt{49}}{2}=\frac{-3 \pm 7}{2}

So, the solutions for ‘x’ are

                       x=\frac{-3+7}{2}=\frac{4}{2}=2

                       x=\frac{-3-7}{2}=\frac{-10}{2}=-5

The solutions for ‘x’ are 2 and -5

6 0
3 years ago
Read 2 more answers
Sean is helping his dad build a tiled walkway in their backyard. The walkway will be 60 feet long and 2 feet wide. The local har
Natalija [7]
Length of the walkway that needs to be tiled = 60 feet
Width of the walkway that needs to be tiled = 2 feet.
Then
Area of the walkway that needs to be tiled = Length * Breadth
                                                                    = 60 * 2 square feet
                                                                    = 120 square feet
Now
Length of the tiles sold by the local store = 2 feet
Width of the tiles sold by the local store = 2 feet
Area covered by the tiles sold by the local store = 2 * 2 feet
                                                                              = 4 square feet
Number of tiles in a box = 6
Then
Total area covered by a box of tile = (6 * 2) square feet
                                                        = 12 square feet
 Then
The number of boxes required by Sean = (120/12)
                                                                = 10
So 10 boxes of tiles are needed by Sean and his father.
4 0
4 years ago
Read 2 more answers
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