if x and y are positive numbers xy = 96 what is the value of x

Answer:

Option A

Step-by-step explanation:

Given equation is:

[tex]x^2+1=2x-3[/tex]

Setting it up as a quadratic equation.

[tex]x^2+1-2x+3=0\\\\x^2-2x+4=0[/tex]

Comparing it with quadratic equation [tex]ax^2+bx+c=0[/tex], we get:

a = 1 , b = -2 , c = 4

Putting the values in quadratic equation:

[tex]\displaystyle x = \frac{-b +-\sqrt{b^2-4ac} }{2a} \\\\x = \frac{-(-2)+-\sqrt{(-2)^2-4(1)(4)} }{2(1)}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

A

Step-by-step explanation:

a = 1, b = -2, and c =4

d = -b +- sqrt (b^2 - 4*a*b)

= - (-2) +- sqrt ((-2)^2 - 4*1*4)

Answer:

Plain is $7 and Holiday is $15

Step-by-step explanation:

Castel: 2p + 5h = 89

Kali: 9p + 10h = 213

Double Castel's: 4p + 10h = 178

Subtract fro Kali's   9p + 10h = 213

                              - 4p + 10h = 178

5p = 35

p = 7  Plain is $7

Substitute 7 into one of the equations and solve for h:

2(7) + 5h = 89

14 + 5h = 89

5h = 75

h = 15  Holiday is $15

Answer:

that's the correct answers

Step-by-step explanation:

thanks for your

To translate the statement "A number is less than 15" into an inequality using the variable x, we write:

x < 15

This inequality indicates that the value of x is any number that is smaller than 15. In other words, x can be any real number in the open interval (-∞, 15). It represents a wide range of values from negative infinity up to, but not including, 15.

This statement is not restrictive and allows for infinite possibilities for x, as long as it is smaller than 15. The inequality x < 15 leaves ample room for a wide variety of numerical solutions.

Therefore, to translate the statement "A number is less than 15" into an inequality using the variable x, we write:

x < 15

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When multiplying the same variable to different exponents add the exponents and multiply the constant numbers:

3x x 2x = 6x

^2 + ^3 = ^5

Answer is a. 6x^5

Korey's net profit margin is 42.5%.

Net profit margin is the ratio of net income to net sales. It is a profitability ratio.  Profitability ratios measure the efficiency with which a company generates profit from its asset.

Net profit margin = net income / net sales

Net profit margin = $1850 / $4350 = 0.425 = 42.5%

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Answer:

edge⬇️

Answer:

Their are many answers for that seqence such as

1,6,11,16,21, etc..

Answer:

6,11,16,21,26,31,36...

Step-by-step explanation:

5x1=5 +1=6

5x2=10+1=11

...

Answer:

292 acres.

Step-by-step explanation:

OK so if there are 73,000 acres of trees in total and 0.4% are old we would simply calculate what 0.4% of 73,000 which is 292. So of those 73,000 acres of trees 292 acres of them would be "old-growth trees".

Answer:

Step-by-step explanation:

the answer is -480

Answer:

x = -24

Step-by-step explanation:

First, transpose 6 to the right and remember that 6 must change sign if you transpose it, that'll give you

- 3/8x = 15-6

-3/8x = 9

Divide both sides by - 3/8

Then x = - 24

Answer:

Arc Length = θ × (π/180) × r, where θ is in degree.

The Arc length of the given partial circle is 4π units or 12.56 units .

Step-by-step explanation:

Answer:

4π

Step-by-step explanation:

Hope this helps!

Answer:

(x+1)(x−2)(x+3)(x−4)

Apply the distributive property by multiplying each term of x+1 by each term of x−2.

(x  

2

−2x+x−2)(x+3)(x−4)

Combine −2x and x to get −x.

(x  

2

−x−2)(x+3)(x−4)

Apply the distributive property by multiplying each term of x  

2

−x−2 by each term of x+3.

(x  

3

+3x  

2

−x  

2

−3x−2x−6)(x−4)

Combine 3x  

2

 and −x  

2

 to get 2x  

2

.

(x  

3

+2x  

2

−3x−2x−6)(x−4)

Combine −3x and −2x to get −5x.

(x  

3

+2x  

2

−5x−6)(x−4)

Apply the distributive property by multiplying each term of x  

3

+2x  

2

−5x−6 by each term of x−4.

x  

4

−4x  

3

+2x  

3

−8x  

2

−5x  

2

+20x−6x+24

Combine −4x  

3

 and 2x  

3

 to get −2x  

3

.

x  

4

−2x  

3

−8x  

2

−5x  

2

+20x−6x+24

Combine −8x  

2

 and −5x  

2

 to get −13x  

2

.

x  

4

−2x  

3

−13x  

2

+20x−6x+24

Combine 20x and −6x to get 14x.

x  

4

−2x  

3

−13x  

2

+14x+24

Step-by-step explanation:

i really dont know

Answer:

y=4

Step-by-step explanation:

x1=4,y1=4,m=0

Equation of a line: y-y1=m(x-x1)

y-4=0(x-4)

y-4=0

y=4

Answer:

y = 7x -26

Step-by-step explanation:

[tex]y-9=7(x-5)[/tex]

[tex]y=7x-35+9[/tex]

[tex]y=7x-26[/tex]

Hope this helps

Answer:

C

Step-by-step explanation:

The probability of getting heads or tails is 50%.

300*50% = 150

Answer:

C. 150 times

Step-by-step explanation:

Because a coin only has tails and heads, you can say that the probability would be half. Because it was tossed 300 times, you can say: 300*0.5=150

Answer:

[tex]\frac{12}5[/tex]

Step-by-step explanation:

The easiest way to find the tangent is to calculate the ratio of opposite side over the adjacent, or [tex]\frac{12}5[/tex]

We know

[tex]\\ \sf{:}\Rrightarrow tan\Theta=\dfrac{Perpendicular}{Base}[/tex]

Now

[tex]\\ \sf{:}\Rrightarrow tanT=\dfrac{SU}{TU}[/tex]

[tex]\\ \sf{:}\Rrightarrow tanT=\dfrac{12}{5}[/tex]

Answer:

The time may be calculated by making the equations equal each other:

2w +7 = .5w + 10

1.5w = 3

weeks = 2

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Reflection does preserve side length and dilation preserves angles.

The solution is Option B.

The reflection preserves the side lengths of the triangle ABC and the dilation preserves angles but not side lengths

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.

The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

Given data ,

Let the triangle be represented as ΔABC

Now , Triangle ABC is reflected across the y-axis and then dilated by a factor of 2 centered at the origin

And , when you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

So , only the x coordinate of the point changes and there is no change in the angles or the side lengths

Now , dilation changes the side lengths of the triangle by a factor of 2

But there is no change in the angles of the triangle after a dilation

Hence , reflection preserves the angles and side lengths of a triangle

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area=147 cm squared

7 x 7 = 49

49 x 3 = 147

Step-by-step explanation:

first you need to find the height

V = L×W×H

the volume your given is 880mm³

length is 22mm

width is 8mm

height is unknown

furthermore

V=L×W×H

880mm³= 22mm×8mm×H

880mm³= 176mm²×H

880mm³/176mm²=176mm²/176mm²×H

5mm=H

H=5mm

therefore S.A=2(L×W+ W×H +L×H)

=2(22mm×8mm+8mm×5mm+22mm×5mm)

=2(176mm²+40mm²+ 110mm²)

=352mm²+80mm²+220mm²

=652mm²

Answer:

  $53.61

Step-by-step explanation:

It looks like the rate of change is supposed to be -2 2/5% = -2.4% per year. That means the "growth factor" is ...

  growth factor = 1 + growth rate

  growth factor = 1 -2.4% = 1 -0.024 = 0.976

Each year, Charisse's cactus salt and pepper shakers will have their value multiplied by this factor. After 2 years, their value will be ...

  ($56.28)(0.976)(0.976) = $56.28×0.976^2 ≈ $53.61

The value is projected to be $53.61 in 2 years.

Answer:

4096

Step-by-step explanation:

Answer:

x = (9 ±√201) ÷ 12

Step-by-step explanation:

6x² -5x -9 = 0 ( rearranged)

a = 6  b = -5  c = -9

- - 9 = 9

-9² = 81 (the 81 must be positive, this is one error)

-4 x 6 x -5 = 120 ( the 5 must be a minus number, this is one error)

120 + 81 = 201

x = (9 ±√201) ÷ 12

Answer

$835,25

Explanation

Total sales = $6425

Commission = 13%

100%  - $6425

13%     -  x

13 * 6425 = 83525

83525 \ 100 = 835,25

1.

The new system of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1

To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.

So, 2x + 3y = 4 (1)

12x + 3y = 1 (2)

We multiply equation (1) by 2

So, 2x + 3y = 4 (1) × 2

⇒4x + 6y = 8 (3)

Replacing (1) by (3), we have

4x + 6y = 8 (3)

12x + 3y = 1 (2)

So, the new system of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1.

2.

The new system of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20

To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.

So,

x - 7y = 8  (1)

5x + 4y = 20 (2)

We multiply equation (1) by 3, we have

So, x - 7y = 8 (1) × 3

⇒3x - 21y = 24 (3)

Replacing (1) by (3), we have

3x - 21y = 24 (3)

5x + 4y = 20 (2)

So, the new system of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20.

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Answer:

x+2y=-3

Step-by-step explanation:

Step-by-step explanation:

when we have multiplications of fractions, we can simply "break" the multiplications apart, simplify every fraction, and then combine the results again.

-9/-15 = 3/5

x^-1/x⁵ = 1/x¹x⁵ = 1/x⁶

y^-9/y^-3 = y³/y⁹ = 1/y⁶

so, when we multiply the 3 fractions again, we get

3/(5x⁶y⁶)

which is the second answer option.

Answer:

20 More Periods

Step-by-step explanation:

Just Divide 200/10 and you get 20.