If using the method of completing the square to solve the quadratic equation
x2 - 2x – 1= 0, which number would have to be added to "complete the
square"?

Answer:

A

Step-by-step explanation:

Because it is the only one that is not asking you to solve. It is simply stating that y is equal to 12.

Hope this helps!

If the equation has infinitely many solutions for x, the value of b that results in infinitely many solutions for x is b = 5/2.

To determine the value of b in the equation a(x + b) = 4x + 10, we can analyze the conditions that would result in infinitely many solutions for x.

First, let's simplify the equation:

a(x + b) = 4x + 10

Expanding the left side of the equation

ax + ab = 4x + 10

Now, let's rearrange the equation to isolate x:

ax - 4x = 10 - ab

Factor out x on the left side:

x(a - 4) = 10 - ab

For the equation to have infinitely many solutions, the coefficient of x (a - 4) must be zero, because any value of x would satisfy the equation.

Therefore, we have:

a - 4 = 0

Solving for a:

a = 4

Substituting the value of a into the equation:

4 - 4 = 0

0 = 0

The equation holds true, indicating that a = 4 satisfies the condition for infinitely many solutions. Now, we can find the value of b.

Substituting a = 4 into the original equation:

4(x + b) = 4x + 10

Expanding:

4x + 4b = 4x + 10

Since the x terms cancel out, we are left with:

4b = 10

Dividing both sides by 4:

b = 10/4

Simplifying:

b = 5/2

Therefore, the value of b that results in infinitely many solutions for x is b = 5/2.

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Answer: 0.18 or 9/50

Step-by-step explanation:

Answer:

well I am not sure anymore and I don't know how to delete my answer so sorry

Step-by-step explanation

Answer:

Step-by-step explanation:

Let's call one leg of the triangle "x" and the other leg "2x-4". We can use the Pythagorean theorem to solve for the lengths of the legs:

x^2 + (2x-4)^2 = 10^2

x^2 + 4x^2 - 16x + 16 = 100

5x^2 - 16x - 84 = 0

We can solve this quadratic equation by factoring or using the quadratic formula. Factoring gives us:

(5x + 14)(x - 6) = 0

So x = -14/5 or x = 6. We can discard the negative solution since we're dealing with lengths. Therefore:

x = 6

2x - 4 = 8

The lengths of the legs are 6 feet and 8 feet.

This number does not correspond to the correct product of 243,192 multiplied by 4.

Rae's method appears to involve breaking down the numbers into their components and performing the multiplication operations separately. Let's analyze her answer:

243, 192 x 4 - 8 | 16 12 | 4 | 36 | 8 1

It seems that she broke down the number 243,192 into its individual digits (2, 4, 3, 1, 9, and 2) and performed separate calculations for each digit. However, her approach is not mathematically accurate or coherent.

Now, let's translate Rae's answer into a number that can be understood in base 10:

243,192 x 4 - 8 | 16 12 | 4 | 36 | 8 1

If we reassemble the digits without the vertical separators, we get: 8161243681.

However, this number does not correspond to the correct product of 243,192 multiplied by 4.

To find the correct answers using Rae's method, let's apply it to the provided multiplication exercises:

156 x 3:

Applying Rae's method:

156 x 3 - 6 | 15 18 | 3

Reassembling the digits: 6153183

The correct answer: 156 x 3 = 468

2873 x 2:

Applying Rae's method:

2873 x 2 - 6 | 14 16 | 3

Reassembling the digits: 614163

The correct answer: 2873 x 2 = 5746

71,181 x 5:

Applying Rae's method:

71,181 x 5 - 5 | 35 25 | 5

Reassembling the digits: 535255

The correct answer: 71,181 x 5 = 355,905

3,726,510,392 x 2:

Applying Rae's method:

3,726,510,392 x 2 - 4 | 7 14 12 10 | 3

Reassembling the digits: 471412103

The correct answer: 3,726,510,392 x 2 = 7,453,020,784

So, while Rae's approach is not mathematically valid, we were able to compute the correct answers using traditional multiplication methods.

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Therefore, the own price elasticity of good X is approximately -0.67.(rounded to 2 decimal places)

To calculate the own price elasticity of good X, we need to use the formula:

Own Price Elasticity = (% change in quantity demanded) / (% change in price)

Given that the price of good X is $2 per unit, we can substitute the price (Px) into the demand equation:

Qxd = 12 - 3Px + 3Py

Substituting Px = $2 and Py = $1 into the equation, we get:

Qxd = 12 - 3(2) + 3(1)

= 12 - 6 + 3

= 9

Now, let's calculate the quantity demanded when the price changes by a small amount, let's say $0.10. We can substitute Px = $2.10 into the demand equation:

Qxd' = 12 - 3(2.10) + 3(1)

= 12 - 6.30 + 3

= 8.70

Using these values, we can calculate the percentage change in quantity demanded and the percentage change in price:

% change in quantity demanded = (Qxd' - Qxd) / Qxd * 100

= (8.70 - 9) / 9 * 100

= -0.30 / 9 * 100

= -3.33% (rounded to 2 decimal places)

% change in price = (Px' - Px) / Px * 100

= (2.10 - 2) / 2 * 100

= 0.10 / 2 * 100

= 5%

Now, let's calculate the own price elasticity using the formula:

Own Price Elasticity = (% change in quantity demanded) / (% change inprice)

= -3.33% / 5%

= -0.67 (rounded to 2 decimal places)

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Answer:

$3.50

Step-by-step explanation:

14-7=7

7 divided by 2 = 3.50

:)

❤ Hey There!! ❤

The answer is below!!

-------------------------------------------------------------------------------------------------------------

Step-by-step explanation:

[tex]14-7=7[/tex]

[tex]7[/tex] [tex]divided[/tex] by [tex]2 =$3.50[/tex]

So, Your answer is $[tex]3.50[/tex]

P.S Tell me if this is wrong.....

[tex]HopeThisHelps!![/tex]

#[tex]Be[/tex] [tex]Bold[/tex]

#[tex]LearnWithBrainlyAlways[/tex]

[tex]_{Loserbrazts}[/tex]

Answer:

C :)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

24 miles

Step-by-step explanation:

for every 3 miles she can hike 8 miles so she can hike 24 miles in 12 hours

Answer:

f=55

Step-by-step explanation:

f(6)=50(6)+30

then: 6F=330 using distributive, and communitive property

then: divide 6 on each side

and ur answer will be f=55

Answer:

x=27

Step-by-step explanation:

let x be the amount of hours she needs to work

she gets 12 dollars per hour, and they already have 100

12x+100=424

12x=324

x=324/12

x=27

Answer:

X=27

Step-by-step explanation:

I took the top number, 27 and I multiplied it by 12 and I got 324 and since Shae, her sister, has $100 and $324+$100=$400, she has to work 27 more hours.

If you need to like show equations then just take the 2 equations I did.

Answer:

4: 2x2

7: 3+4

9: 27 divided by 3

11: 5+6

12: 6x2

14: 7x2

17: 9+8

21: 3x7

26: 11+15

27: 3x9

Step-by-step explanation:

We have to use equations to represent the following numbers: 4, 7, 9, 11, 12, 14, 17, 21, 26, 27 only using the numbers 1,2,3,4,5

Answer:

Its a perfect square root f ..

Step-by-step explanation:

Step-by-step explanation:

i hope i have been useful buddy.

good luck ♥️ ♥️♥️.

The angles are as follows:

∠1 = 51°

∠2 = 34°

∠3 ≅ 95°

∠4 = 38°

∠5  ≅ 47°

∠6 = 74°

∠7 = 59°

The angles are as follows:

∠1 = 180 - 129 = 51° (angle on a straight line)

∠2 = 180 - 95 - 51 = 34° (sum of angles in a triangle is 180 degrees)

∠3 ≅ 95° (vertically opposite angles)

∠4 = 180 - 47  - 95 = 38° (sum of angles in a triangle)

∠5  ≅ 47°(vertically opposite angles)

∠6 = 180 - 47 - (180 - 121) = 74°(sum of angles in a triangles)

∠7 = 180 - 121 = 59°(angle on a straight line)

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Answer:

Step-by-step explanation:

Given that the monthly cost is  $39.99

and also $0.11 for each text (sent or recieved)

let y be the total cost

let x be the number of text

the model for the total cost is given as

y=3.99+0.11x

given that y=45

45=3.99+0.11x

45-3.99=0.11x

41.01=0.11x

divide both sides by 0.11

x=41.01/0.11

x=372.8

Divide actual km by scale km:

54/18 = 3

Multiply scale cm by that:

3 x 3 = 9

They are 9cm apart on the map

Answer:

  A. see instructions below

  B. w = 3

Step-by-step explanation:

A. Apparently, your (machine instructions, algebra) are ...

  (multiply by 5, 5w)

  (subtract 6, 5w-6)

  (divide by 3, (5w-6)/3)

  (add 2, (5w-6)/3 +2)

  (output the number, 5)

__

B. Working backward, we want to undo each instruction.

  (subtract 2, 5-2 = 3)

  (multiply by 3, 3·3 = 9)

  (add 6, 9+6 = 15)

  (divide by 5, 15/5 = 3)

  (input the number, 3)

The equation (5w-6)/3 +2 = 5 has the solution w = 3.

Answer:

2.625

Step-by-step explanation:

2 + 5/8

2 + .625 = 2.625

5/8 = .625

Answer:

ill help

Step-by-step explanation:

Answer:

i think its 33

Step-by-step explanation:

10 Girls came by Car, 20 Girls came by bicycle.

19 Girls walked.

16 boys walked, 21 boys came with bicycle.

14 boys walked.

In total 33 students walked

Answer:

The two companies charge the same for 12 tons of sugar.

Amount charged by each of the company [tex]=\$8003[/tex]

Step-by-step explanation:

Let x denotes amount of sugar for which the two companies charge the same.

Amount charged by the first company [tex]=6500+125.25x[/tex]

Amount charged by the second company [tex]=5897+175.50x[/tex]

To find amount of sugar for which the two companies charge the same,

solve [tex]6500+125.25x=5897+175.50x[/tex]

[tex]6500+125.25x=5897+175.50x\\6500-5897=175.50x-125.25x\\603=50.25x\\x=\frac{603}{50.25}\\ x=12[/tex]

So, the two companies charge the same for 12 tons of sugar.

Amount charged by the first company [tex]=6500+125.25(12)=8003[/tex]

Amount charged by the second company [tex]=5897+175.50(12)=8003[/tex]

Amount charged by each of the company [tex]=\$8003[/tex]

Answer:

80

Step-by-step explanation:

the A and X are equal

The range of the exponential function y based on its equation and the context of the problem is a set of positive real numbers less than the initial value of 62,150, representing the decreasing value of the car over time.

The given function represents the depreciation of Morgan's car over time, where x represents the number of months since the car was purchased. The function is y = 62,150 * (0.9999)^x.

To determine the range of the exponential function y, we need to consider the context of the problem. In this case, the range represents the possible values for the car's depreciation, or the value of y.

The base of the exponential function is 0.9999, which is less than 1. When a value between 0 and 1 is raised to a positive power, it decreases exponentially as the power increases. Therefore, as x (the number of months) increases, the value of y (the car's depreciation) decreases.

Since the base is less than 1, the range of the exponential function y is also less than the initial value of 62,150. As x approaches infinity, the value of y approaches 0, but it will never actually reach 0.

In practical terms, the range of the exponential function represents the decreasing value of the car over time. It indicates that the car's depreciation is continuous and will approach zero but will never completely reach zero.

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The case-fatality rate among residents with TB over the course of the year is approximately 33.3%. None of the answer choices provided (25.0%, 14.3%, 20.0%) match this calculated value, so the correct answer is "None of the above."

The case-fatality rate among residents with TB over the course of the year can be calculated by dividing the number of residents who died from TB by the total number of residents with TB at the start of the study. Let's calculate it based on the given information.

On January 1st, there were 30 residents with existing cases of TB. On July 1st, 10 of these residents died from their disease.

Case-Fatality Rate = (Number of TB deaths / Number of residents with TB) * 100%

Case-Fatality Rate = (10 / 30) * 100% ≈ 33.3%

Therefore, based on the given information, the case-fatality rate among residents with TB over the course of the year is approximately 33.3%. None of the answer choices provided (25.0%, 14.3%, 20.0%) match this calculated value, so the correct answer is "None of the above."

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In a cantilever beam system, where a beam carries an end mass, the equivalent mass is the combined mass of the beam and the end mass. The equivalent mass is calculated by adding the mass of the beam and the end mass. In the context of piston travel diagrams, the gas pressure force depends on the piston acceleration, crank radius, and piston velocity, with the piston travel being influenced by the crank angle, crank radius, and connected rod length.

In a cantilever beam system, the equivalent mass is determined by adding the mass of the beam to the mass of the end mass. In the given example, the beam has a mass of 5 kg, and the end mass is 3.85 kg. Therefore, the equivalent mass of the system is 5 kg + 3.85 kg = 8.85 kg.
Regarding piston travel diagrams, the gas pressure force acting on the piston depends on several factors. The piston acceleration, which represents the rate of change of piston velocity with respect to time, influences the gas pressure force. A higher acceleration results in a greater gas pressure force acting on the piston.
The crank radius, which is the distance from the center of the crankshaft to the point where the connecting rod is attached, also affects the gas pressure force. The piston velocity, which is the rate at which the piston moves, is influenced by the crank radius. A larger crank radius leads to higher piston velocity and, consequently, greater gas pressure force.
The piston travel, representing the linear displacement of the piston, is influenced by the crank angle, crank radius, and connected rod length. These factors determine the motion of the piston and the overall behavior of the system.
In summary, the equivalent mass in a cantilever beam system is obtained by adding the mass of the beam and the end mass. In piston travel diagrams, the gas pressure force depends on the piston acceleration, crank radius, and piston velocity. The piston travel is influenced by the crank angle, crank radius, and connected rod length.

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Answer:

x = 14

Step-by-step explanation:

2x +5=33

Subtract 5 from each side

2x+5-5 = 33-5

2x = 28

Divide by 2

2x/2 =28/2

x = 14

Answer:

x=4

Step-by-step explanation:

6x+12x=72

18x=72

x=4