Which is true about all quadratic equations that contain a difference of squares?


Only the value of a is a perfect square.


The value .|b|=2\sqrt(a)\sqrt(c)


The value b=0.


Only the value of c is a perfect square.

Answers

Answer 1

The value b = 0. The statement "Only the value of c is a perfect square" is true about all quadratic equations that contain a difference of squares.

In a quadratic equation, the general form is ax^2 + bx + c = 0, where a, b, and c are constants. A difference of squares occurs when the quadratic equation can be factored into the form (x + p)(x - p), where p is a constant.

When a quadratic equation contains a difference of squares, the value of b is always 0. This is because the product of the factors (x + p) and (x - p) will result in the middle term (bx) being eliminated when expanding the equation.

Therefore, the correct statement is:

The value b = 0.

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Related Questions

3800 people attended a basketball game. 1026 of the people attending supported the
home team, while 2774 supported the visiting team. What percentage of people
attending supported the home team?

Answers

Answer: 27%

Explantion:

1026/3800 =x/100

cross mulitply and get 102600 then divid both sides by 3800.  

Answer:

27

Step-by-step explanation:

r

Determine which polynomial is a perfect square trinomial. 4x2 − 12x 9 16x2 24x − 9 4a2 − 10a 25 36b2 − 24b − 16.

Answers

This \(4x^2 - 12x + 9\) factors into \((2x - 3)^2\), and is thus a perfect square trinomial.

What is a perfect square?

A perfect square is a number system that can be expressed as the

square of a given number from the same system.

Trinomial \(Ax^2 + Bx + C\) is a perfect square if

A > 0

C > 0

B = ±2√A√C

1. \(36b^2 - 24b - 16\)

C < 0

2. \(4a^2 - 10a + 25\)

2√A√C = 2×2×5

              = 20,

B = −10

3. \(16x^2 + 24x - 9\)

not a perfect square,

C < 0

4. \(4x^2- 12x + 9\)

perfect square

A>0,

C>0,

2√A√C = 2×2×3

-B = 12

= \((2x - 3)^2\)

Thus,  \(4x^2- 12x + 9\) the polynomial is a perfect square trinomial.

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BRAINLEST TO WHOEVER ANSWERS THE FASTEST WITH THE CORRECT ANSWER!!!!

Which of the following is the graph of y > -5/2x +3

BRAINLEST TO WHOEVER ANSWERS THE FASTEST WITH THE CORRECT ANSWER!!!!Which of the following is the graph

Answers

Answer:

The graphs are very blurry, here is the image of the correct answer.

Step-by-step explanation:

BRAINLEST TO WHOEVER ANSWERS THE FASTEST WITH THE CORRECT ANSWER!!!!Which of the following is the graph

Answer:

This is his alt! Please give other person brainliest!

Step-by-step explanation:

Which measurement could be a surface area measure?

64.5 m 3
50 g
18 ft.
27.9 mm 2

Answers

The measurement that could be a surface area measure is D. 27.9 mm². The unit "mm²" represents square millimeters, which is a measurement of surface area.

What is a surface area?

A surface area is the measurement of the outside area of an object or shape.

A surface area usually measures the surfaces of an object like the sides, top, and bottom.  

It is measured in square units like square inches or square meters.

It is an important concept that is used in different areas like geometry (like a cone, cylinder, rectangular prism, etc.), physics, and engineering.

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three minus the quotient of a number x and 12

Answers

Answer:

3 - x/12

Step-by-step explanation:

follow the steps in the sentence

is this right plz help​

is this right plz help

Answers

Answer:

yes you are correct :)

Step-by-step explanation:

Yes you are correct because y intercept or the b is on the y line meaning 0,3 and the m or the slope is going down by 2 each or up by 2

A cereal company is putting 1 of 4 prizes in each box of cereal. The prizes are evenly distributed so the

probability of winning any given prize is always 1/4.

Lily wonders how many boxes she should expect to buy to get all 4 prizes. She carried out 20 trials of a

simulation and her results are shown below. Each dot represents how many boxes it took to get all 4 prizes in

that trial.

4

5

6

7

8

9

10 11 12 13 14 15

# of boxes purchased

Use her results to estimate the probability that it takes fewer than 7 boxes to get all 4 prizes.

Give your answer as either a fraction or a decimal.

P(fewer than 7 boxes) -

Answers

Answer:

\(P(x < 7) = 0.383\)

Step-by-step explanation:

Given

See attachment for plot

Required

Determine the probability that few than 7 boxes will be needed.

This is represented as:

\(P(x < 7)\)

And the solution is:

\(P(x < 7) = P(x = 4) + P(x = 5) + P(x = 6)\)

Each probability is calculated by dividing the number of dots by the total dots.

So, we have:

\(P(x < 7) = \frac{n(x = 4) + n(x = 5) + n(x = 6)}{Total}\)

From the attached, the formula becomes:

\(P(x < 7) = \frac{4 + 6 + 3}{4+6+3+4+4+6+3+2+1+2+0+1}\)

\(P(x < 7) = \frac{13}{36}\)

\(P(x < 7) = 0.361\)

Raíz cuadrada de 64 la necesito para hoy, por favor

Answers

In fact, if we knew that 64 = 8 sqrt 64 = pm 8 64 = 8, then x would no longer be a function and would instead be a relationship, causing the graph to be repeated twice with the value 64. (en 8 y -8).

What is the 64-bit binary radix?

For instance, the 64-bit number, which is written as 4, is 4, since 64. Additionally, it is the length of a 64-volume cube's arista.

Who is the sixth of 64?

What our community finds fascinating. La raiz sexta es 2 because cuando dividimos 64/2 obtenemos un resultado especfico and cuando multiplicamos seis veces dos obtenemos 64.

conversation of 64 into binary

Binary value for 64 is 1000000. In a binary number system, we only utilize the digits 0 and 1, as opposed to the decimal number system, which uses the numbers 0 to 9 to express a number (bits).

= \(64_{10}\) = \(1000000_{2}\)

here, the binary of \(64_{2} = 1000000_{2}\)

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From the top of a tower 120m high the angle of depression of a stone on the ground is found to be 30°. How far is the stone from the foot of the tower ?​

Answers

Step-by-step explanation:

so from this, I think the difference is 207.84 m

:)

From the top of a tower 120m high the angle of depression of a stone on the ground is found to be 30.

Solve the system by substitution . 5x- y =21 x=2y -3

Answers

Answer:

(5,4)

Step-by-step explanation:

To solve a system of equations by substitution, you need to solve one of the equations for one variable (either x or y). In this case, we can solve the second equation for x: x=2y-3. Then substitute this expression into the first equation and solve for y: 5(2y-3)-y=21. Solving for y gives us y=4. Substitute this value back into the second equation and solve for x: x=2(4)-3=5. Therefore, the solution is (5,4).

yw;)

two angles that add up to 90 degrees are called ________ angles.

Answers

two angles that add up to 90 degrees are called complementary angles.

You have heard that customers will try a new caterer if the price is 20% below their existing caterer. Your competitor prices a luncheon at $800. What does your price need to be to get customers to try your business? a) $160 b) $640 c) $800 d) $850

Answers

Answer:

b) $640

Step-by-step explanation:

Competitor's price  = $800

Price, 20% below of competitor's:

$800 - 20% = $800*(100-20)/100 =$800*0.8 = $640

Correct answer choice is b) $640

Prove that sin2theta sin4theta sin6theta by cos2theta cos4theta cos6theta=tan4theta

Answers

Sin2x sin4x sin6x/cos2x cos4x cos6x = tan4x.

What is trigonometric functions?

Trigonometric functions are functions that relate the angles of a triangle to the lengths of its sides. They are commonly used in mathematics to solve problems involving angles, distances, and height. The most commonly used trigonometric functions are sine, cosine, and tangent.

Let theta=x. Then, sin2x sin4x sin6x/cos2x cos4x cos6x= tan4x.

Using the identities of trigonometric functions, we can expand the left hand side of the equation as:

(sin2x)(sin2x×sin2x) (sin2x×sin2x*sin2x) / (cos2x)(cos2x×cos2x) (cos2x×cos2x×cos2x)

= (sin2x)((1-cos2x)×(1-cos2x)) ((1-cos2x)×(1-cos2x)×(1-cos2x)) / (cos2x)((1+cos2x)×(1+cos2x)) ((1+cos2x)×(1+cos2x)×(1+cos2x))

= (sin2x)(1-2cos2x+cos4x) (1-3cos2x+3cos4x-cos6x) / (cos2x)(1+2cos2x+cos4x) (1+3cos2x+3cos4x+cos6x)

By simplifying the equation, we get:

= (sin2x)(1-2cos2x+cos4x)(1-3cos2x+3cos4x-cos6x) / (cos2x)(1+2cos2x+cos4x)(1+3cos2x+3cos4x+cos6x)=

=sin2x (1-2cos2x+cos4x) / (cos2x)(1+2cos2x+cos4x)
= sin2x / cos2x - 2sin2x / (cos2x)(1+2cos2x+cos4x)
= tan2x - 2tan2x / (1+2cos2x+cos4x)
= tan2x (1 - 2 / (1+2cos2x+cos4x))
= tan2x (1+2cos2x+cos4x - 2) / (1+2cos2x+cos4x)
= tan2x (2cos2x + cos4x - 2) / (1+2cos2x+cos4x)
= tan2x (2cos2x + cos4x - 2) / (1+2cos2x+cos4x)
= tan4x
Therefore, sin2x sin4x sin6x/cos2x cos4x cos6x = tan4x.

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Find the number of all the 2-digit numbers satisfying the
following congruences x = 3(mod7), x = 2(mod5).
OLEASE HELP

Answers

Use the Chinese remainder theorem.

Start with x = 3×5 + 2×7 = 15 + 14 = 29. Now,

• 29 ≡ 15 ≡ 1 (mod7)

• 29 ≡ 14 ≡ 4 (mod5)

Adjust for this by multiplying the first term in x by 3, and the second term by 3 (because 4×3 ≡ 12 ≡ 2 (mod5)).

So now x = 3×5×3 + 2×7×3 = 45 + 42 = 87, and

• 87 ≡ 45 ≡ 3 (mod7)

• 87 ≡ 42 ≡ 2 (mod5)

The CRT then says that x ≡ 87 (mod(7×5)) ≡ 87 (mod35), which is to say any number x = 87 + 35n satisfies both congruences (where n is any integer).

So there are 3 possible 2-digit numbers that work: {17, 52, 87}.

To confirm:

• 17 ≡ 15 + 2 ≡ 2 (mod5) and 17 ≡ 14 + 3 ≡ 3 (mod7)

• 52 ≡ 50 + 2 ≡ 2 (mod5) and 52 ≡ 49 + 3 ≡ 3 (mod7)

• 87 ≡ 85 + 2 ≡ 2 (mod5) and 87 ≡ 84 + 3 ≡ 3 (mod7)

How do angles inside a polygon affect the sides of the polygon?

Answers

Hello,

Let 's  n the number of sides,

R the radius of the circonscrit circle,

c the side of the polygon (c like côté)

Angle in the center is 360/n and its half is 180/n

(c/2)/R=sin(180/n)

Inside angles are (180-360/n)/2 = 90-180/n (°)

Kammi and Alejandro each go to a hardware store to buy wire. The table shows the relationship between the cost and the length of wire.

a. Kammi needs 24 feet of wire. How much will she spend on wire?

b. Alejandro needs 13 yards of wire. How much will he spend on wire?​

Answers

Answer: i think this is the same thing https://brainly.com/question/28965695?referrer=searchResults


if it is then theres ur answer

Step-by-step explanation:

Where is the solution to a system of linear inequalities?

Answers

Expressions that use the inequality symbols to compare two linear expressions are known as linear inequalities.

How to Solve the System inequalities ?Follow the procedures listed below to graph each linear inequality in a system of inequalities on the same x-y axis and solve the system of inequalities:For y, resolve the inequality.Consider the inequality to be a linear equation, and depending on the inequality sign, graph the line as either a solid line or a dashed line.Draw the line as a dashed line if the inequality symbol is missing an equals sign (or).Draw the line as a solid line if the inequality sign contains an equals sign (or).Shade the area where the inequality is satisfied.For each inequality, repeat steps 1-3.The region where all of the inequalities intersect will be the solution set.

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please help me Thank you​

please help me Thank you

Answers

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Given statement :

Jayson planted 3 rows of seedlings in pots. Each row had 12 seedlings.

now, let's Answer the questions asked :

1. How many seedlings did he planted in all ?

3 × 12

36 seedlings

2. What did Jayson plant in pots ?

He planted seedlings in the pots

3. How many rows of seedlings are there ?

There were 3 rows of seedlings

4. How many seedlings does each row have ?

Each row have 12 seedlings

5. What is asked in the problem ?

The term asked in the problem is to find the total number of seedlings planted in all.

6. How can we mentally find the answer to the problem ?

We can find the answer by multiplying the number of rows of seedlings by total seedlings in each row.

that is :

3 × 12

36

help please don’t know how to do this

help please dont know how to do this

Answers

Answer:

1. C,D

2. B,C,D

3. E

4.D

5.A,B,C,D

6.D

7.C,D

8.E

Step-by-step explanation:

Hope this helps ;)

find a vector equation for the line segment from (3, −4, 4) to (7, 2, 3). (use the parameter t.)

Answers

the vector equation for the line segment from (3, -4, 4) to (7, 2, 3) is:

r = <3, -4, 4> + t<4, 6, -1>

We can find a vector equation for the line segment by first finding the direction vector of the line segment, and then using it to write the equation in vector form.

The direction vector of the line segment is the difference between the two endpoints:

d = <7, 2, 3> - <3, -4, 4> = <4, 6, -1>

To write the vector equation in terms of the parameter t, we can use the parametric form of the equation of a line:

r = r_0 + td

where r is the position vector of a point on the line, r_0 is the position vector of a known point on the line (in this case, (3, -4, 4)), t is a scalar parameter, and d is the direction vector we just found.

Substituting the values we know, we get:

r = <3, -4, 4> + t<4, 6, -1>

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Question 4(Multiple Choice Worth 5 points) (01.04 LC)Multiply (-1/6) (-1/5)​

Answers

Answer:

1/30 in fraction form.

0.033333333....

Step-by-step explanation:

Heidi solved the equation 3(x 4) 2 = 2 5(x – 4). her steps are below: 3x 12 2 = 2 5x – 20 3x 14 = 5x – 18 14 = 2x – 18 32 = 2x 16 = x use the drops-downs to justify how heidi arrived at each step. step 1: step 2: step 3: step 4: step 5:

Answers

Heidi arrived at each step by applying mathematical operations and simplifications to the equation, ultimately reaching the solution.

Step 1: 3(x + 4)² = 2(5(x - 4))

Justification: This step represents the initial equation given.

Step 2: 3x + 12² = 10x - 40

Justification: The distributive property is applied, multiplying 3 with both terms inside the parentheses, and multiplying 2 with both terms inside the parentheses.

Step 3: 3x + 144 = 10x - 40

Justification: The square of 12 (12²) is calculated, resulting in 144.

Step 4: 14 = 2x - 18

Justification: The constant terms (-40 and -18) are combined to simplify the equation.

Step 5: 32 = 2x

Justification: The variable term (10x and 2x) is combined to simplify the equation.

Step 6: 16 = x

Justification: The equation is solved by dividing both sides by 2 to isolate the variable x. The resulting value is 16. (Note: Step 6 is not provided, but it is required to solve for x.)

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The sum of two numbers is 21. 3/4of one of the numbers added to 2/3 of the other gives a sum of 15. Find the two numbers.​

Answers

Answer:

First, We'll take two numbers as 'x' and 'y', and their sum is given as 21 i.e. x + y = 21 .  3/4th of 'x'  and  2/3rd of 'y' when added gives 15 i.e.

(3/4)x + (2/3)y = 15. Now, we've got two equations and we'll solve them to get the value of x and y which will be the two numbers.

Step-by-step explanation:

let,

   first number = x

   second number = y

then ,   x + y = 21  

according to the question,

       (3/4)x + (2/3)y = 15

Now, solve these equations :

on solving, we get :

        x = 12 & y = 9

Hence, the two numbers are 12 and 9.

Help due asap show workings please

Help due asap show workings please

Answers

The answer is 45. 180-90=90. 90 divided by 2 is 45

Find the maximum rate of change of f at the given point and the direction in which it occurs.
F(x, y, z) = (8x + 5y)/z
(5, 6, -1)

maximum rate of change
direction vector

Answers

The direction in which the maximum rate of change of f occurs at the point (5, 6, -1) is approximately (-0.17, -0.11, -0.98).

To find the maximum rate of change of the function f at the given point (5, 6, -1) and the direction in which it occurs, we can calculate the gradient of f at that point.

The gradient vector represents the direction of maximum increase of the function, and its magnitude represents the rate of change in that direction.

The gradient vector (∇f) of f(x, y, z) = (8x + 5y)/z can be found by taking the partial derivatives with respect to each variable:

∂f/∂x = 8/z

∂f/∂y = 5/z

∂f/∂z = -(8x + 5y)/z^2

Evaluated at the point (5, 6, -1), we have:

∂f/∂x = 8/(-1) = -8

∂f/∂y = 5/(-1) = -5

∂f/∂z = -((8(5) + 5(6))/(-1)^2) = -46

So, the gradient vector (∇f) at the point (5, 6, -1) is (-8, -5, -46).

The maximum rate of change of f at this point is given by the magnitude of the gradient vector:

|∇f| = √((-8)^2 + (-5)^2 + (-46)^2) = √(64 + 25 + 2116) = √2205 = 47.

Therefore, the maximum rate of change of f at the point (5, 6, -1) is 47.

To determine the direction in which this maximum rate of change occurs, we normalize the gradient vector by dividing it by its magnitude:

Direction vector = (∇f) / |∇f| = (-8/47, -5/47, -46/47).

Hence, the direction in which the maximum rate of change of f occurs at the point (5, 6, -1) is approximately (-0.17, -0.11, -0.98).

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Given the linear regression equation, y^=134. 63−2. 79x. What is the predicted value of y^ when x=45? (round answer to two decimal places, example: 3. 45)

Answers

Answer:

  9.08

Step-by-step explanation:

To find the predicted value of y, put the x-value where x is in the equation and do the arithmetic.

Substitution

  \(\hat{y}=134.63-2.79x\qquad\text{given}\\\\\hat{y}=134.63-2.79(45) = 134.63-125.55\qquad\text{use 45 for x}\\\\\boxed{\hat{y}=9.08}\qquad\text{simplify}\)

3.8 x 10^2 +1.7 x10^3

Answers

Answer:

2080

Step-by-step explanation:

that's the answer i think Good luck :)

suppose ct is the concentration of a drug in the bloodstream at time t, a is the concentration of the drug that is administered at each time step, and k is the fraction of the drug metabolized in a time step. (a) what is the recursion that models the dynamics of drug concentration? ct 1

Answers

The recursion that models the dynamics of drug concentration is: ct+1 = (1 - k) * ct + a.

This equation describes how the drug concentration in the bloodstream changes over time. At each time step, the concentration of the drug in the bloodstream is updated by adding the concentration of the drug that is administered (a) and subtracting the fraction of the drug that is metabolized (k * ct). This updated concentration is then used as the starting concentration for the next time step.

The value of k is typically a constant that is specific to the drug being administered and the metabolic rate of the patient. The value of a can vary depending on the dosage and frequency of drug administration. The recursion can be used to model the concentration of the drug over time, which is important for determining the effectiveness and potential side effects of the drug.

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Answer pleaseeee!!!!!!!!!!!!!!!!

Answer pleaseeee!!!!!!!!!!!!!!!!

Answers

Answer:

\( m \angle \: 3 = 94 \degree\)

Step-by-step explanation:

\(m \angle \: 3 + 86 \degree = 180 \degree \\(linear \: pair \: \angle s) \\ \\ m \angle \: 3 = 180 \degree - 86 \degree \\ \\ m \angle \: 3 = 94 \degree \\ \\ \)

help me pls pls plsssssssss

help me pls pls plsssssssss

Answers

Answer:

m(x)=1.75

m(10)= 10x / 17.5

17.5

Step-by-step explanation:

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