The discriminant of the equation x^2 - 4x + 4 = 0 shows there will be solution(s).

1. one real
2. one imaginary
3. two imaginary
4. no real or imaginary

Answers

Answer 1

Answer:

one real

Answer: 1

Step-by-step explanation:

Givens

a = 1

b = -4

c = 4

Discriminate

Discriminate = sqrt(b^2 - 4*a*c)

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

Discriminate = sqrt ( 16 - 16)

Discriminate = sqrt(0)

Discriminate = 0

That means the 1 real root is -  b / 2a = 4/(2*1) = - -2 = 2


Related Questions

Bookwork code: E13 Work out the equation of the straight line shown below. Give your answer in the form y = mx + c, where m and care integers or fractions in their simplest forms. 7 4- 3. 2- 1- -6 -5 -4 -3 -2 -1.0 -1- --2- --3- -4- -5- Calculator not allowed T 2 3 4 5 6 X​

Answers

Answer:

  y = -5x +4

Step-by-step explanation:

You want the point-slope equation of the line with y-intercept +4 and through the point (1, -1).

Solution

The graph shows you the line decreases 5 units from +4 to -1 as x increases 1 unit from 0 to 1. This tells you the slope is ...

  m = rise/run = -5/1 = -5

The y-intercept is the value of y where the line crosses the y-axis:

  b = 4

These values go into the point-slope equation:

  y = mx +b . . . . . . line with slope m and y-intercept b

  y = -5x +4 . . . . . . line with slope -5 and y-intercept 4

I need an answer Immediately!!!!!

Answers

62.5 is the answer to the question

Answer:

64 Is the correct answer right

The diameter of a circular pond 63 m. Find the cost of fencing the edge of the pond if the fence costs $12 per meter. (WITH STEPS)

Answers

Answer:

$37,392

Step-by-step explanation:

A = r^2 times Pi. 63 diameter = 31.5. Pi = 3.14 A = 31.5^2(992.25) = 3,115.665.

If fence cost $12 per meter, 3,115.665 is rounded to 3,116. 3,116 times 12 = $37,392

omg guyzzz where r u​

Answers

Answer:

we are here, where have you been...???

Answer:

im at ur frien joe's house

Step-by-step explanation:

please help!!!! Thank you!!

Answers

Answer:

10

Step-by-step explanation:

the answer is 10 i believe sorry if i am wrong

Estimate how many times larger 6.1 • 10^7 is than 2.1 • 10^-4

Answers

Answer:

Estimation: 300 Billion times bigger

Actual: 290 Billion times bigger

Step-by-step explanation:

Lets group the coefficients together and the exponents together.

[tex](\frac{6.1}{2.1})(\frac{10^7}{10^{-4} })[/tex]

We can round 6.1 to 6.

We can round 2.1 to 2.

[tex](\frac{6}{2})(\frac{10^7}{10^{-4} })[/tex]

[tex](3)(\frac{10^7}{10^{-4} })[/tex]

Subtract the exponent from the denominator from the exponent of the numerator.

[tex](3)(10^{7-4*1} )[/tex]

[tex](3)(10^{7+4} )[/tex]

[tex](3)(10^{11} )[/tex]

[tex]3*10^{11}[/tex]

[tex]10^{11}[/tex] is 100 billion.

3 times 100 billion is 300 billion.

If z = 3cis30°, z3 in rectangular form is _____ +_____ i.

Answers

The rectangular form is 3c/30=z
Z=10 3c//30
10z+70x + 17x-10z

PLEASE HELP!!!!
Pls answer all questions and show the work!!

Answers

Read the link attached.

I have written it down on the word doc

Please help me!! Find the area of the circle:)

Answers

Answer:

2.46

Step-by-step explanation:

Answer:

[tex]A=283.528736986[/tex]

Step-by-step explanation:

The formula for the area of a circle is:

[tex]A=\pi \times r^2[/tex]

Remember that the radius is half the diameter, we are given the diameter which is 19, which means we need to find the radius:

[tex]d=19[/tex]
[tex]19\times\frac{1}{2} =9.5[/tex]
[tex]r=9.5[/tex]

Substitute and solve:

[tex]A=\pi \times9.5^2[/tex]
[tex]9.5^2=9.5\times9.5=90.25[/tex]
[tex]\pi \times90.25=283.528736986[/tex]
[tex]A=283.528736986[/tex]

Since the question doesn't say to round the area is "283.528736986."

Hope this helps.

What does each of these represent in this situation (0,0),(1,55), and (5,275

Answers

The coordinates (0,0), (1,55), and (5,275) represent points on a two-dimensional graph. The first coordinate (0,0) represents the origin, or the point where the x-axis and y-axis intersect. The second coordinate (1,55) represents a point one unit along the x-axis and 55 units along the y-axis. The third coordinate (5,275) represents a point five units along the x-axis and 275 units along the y-axis.

Hope this helps!

Which steps will generate an expression equivalent to 17(x+5)?
MARK BRAINLIEST

Answers

Answer:

multiply 17x5=85,85+5=90 so aswer is 90

Step-by-step explanation:

Answer:

17+85 is the answer that I got

HELP PLEASE !!!
What is the measure of ‹1?

Answers

Answer:

<1 = 114

Step-by-step explanation:

<1 = <7 because they're alternate exterior angles.

Since <7 is 114, <1 is also 114.

1 kilogram is equivalent to about 2.2 pounds. An orangutan weighs 142 pounds. What is its mass in kilograms?

Answers

In response to the question, we may say that As a result, the orangutan's expression mass in kilogrammes is roughly 64.55 kg.

what is expression ?

An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are widely used in arithmetic, mathematics, and shape. They are employed in the depiction of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.

To convert pounds to kilogrammes, divide the pound weight by the conversion ratio of 2.2.

Hence, to calculate the orangutan's mass in kilos, do the following:

Divide the orangutan's weight in pounds by the conversion ratio of 2.2:

142 pounds divided by 2.2 is 64.54545... kilos (rounded to the nearest hundredth)

As a result, the orangutan's mass in kilogrammes is roughly 64.55 kg.

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what type of shape is this?

Answers

Paralellogram is the answer.

N​ 2003, an organization surveyed adult Americans and asked about a certain​ war, "Do you believe the United States made the right or wrong decision to use military​ force?" Of the adult Americans​ surveyed, stated the United States made the right decision. In​ 2008, the organization asked the same question of adult Americans and found that believed the United States made the right decision. Construct and interpret a​ 90% confidence interval for the difference between the two population​ proportions, .

Answers

Complete question :

In March 2003, the Pew Research Group surveyed 1508 adult Americans and asked, "Do you believe the United States made the right or wrong decision to use military force in Iraq?" Of the 1508 adult Americans surveyed, 1086 stated the United States made the right decision. In August 2010, the Pew Research Group asked the same question of 1508 adult Americans and found that 618 believed the United States made the right decision. Construct and interpret a 90% confidence interval for the difference between the two population proportions

Answer:

(0.282 ; 0.338)

We are 90% confident that the proportion of adults in the U.S who believe that the United States made the right decision in 2003 lies between 0.282 and 0.338, higher than the proportion of adult Americans in 2010 who believe the same.

Step-by-step explanation:

Given :

p = x / n

p1 = 1086/1508 = 0.72

p2 = 618/1508 = 0.41

Confidence interval :

(p1 - p2) ± margin of error

Margin of Error = Zcrit*√p1(1-p1)/n1 + p2(1-p2)/n2

Zcrit at 90% = 1.645

1 - p1 = 1 - 0.72 = 0.28

1 - p2 = 1 - 0.41 = 0.59

MOE = 1.645*√(0.72*0.28)/1508 + (0.41*0.59)/1508

MOE = 1.645 * 0.0171492 = 0.0282105

(p1 - p2) = (0.72 - 0.41) = 0.31

Lower boundary = 0.31 - 0.0282 = 0.2818

Upper boundary = 0.31 + 0.0282 = 0.3382

(0.282 ; 0.338)

We are 90% confident that the proportion of adults in the U.S who believe that the United States made the right decision in 2003 lies between 0.282 and 0.338, higher than the proportion of adult Americans in 2010 who believe the same.

GIVING BRAINLIEST POINTS Graph the parabola: (x+2)^2= -12(y-1)

Answers

Answer:

did you type the right question give me the  correct one and i will help

Step-by-step explanation:

Is infinity times 0 still 0?

Answers

Yes, infinity times 0 is still 0 because if we multiply 0 to any number is 0.

Yes, infinity times 0 is still 0 because if we multiply 0 to any number is 0.

0 * 0 * 0 * 0= 0

Zero is the integer denoted 0 that, when used as a counting number, means that no objects are present. It is the only integer (and, in fact, the only real number) that is neither negative nor positive. A number which is not zero is said to be nonzero. A root of a function f is also sometimes known as "a zero of f."

The Schoolhouse Rock segment "My Hero, Zero" (Multiplication Rock, Season 1, Episode 2, 1973) extols the virtues of zero with such praises as, "My hero, zero Such a funny little hero But till you came along We counted on our fingers and toes Now you're here to stay And nobody really knows How wonderful you are Why we could never reach a star Without you, zero, my hero How wonderful you are."

Zero is commonly taken to have the factorization 0=0·1 (e.g., in the Wolfram Language's FactorInteger[n] command). On the other hand, the divisors and divisor function sigma_k(0) are generally taken to be undefined, since by convention, n|0 (i.e., n divides 0) for every n except zero.

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What is the value of k in the quadratic polynomial 3x2 2kx 3 if X − 12 is one of the zeroes of it?

Answers

The values of k are 3, – 3 for which roots of the quadratic equation are real and equal.

What is a quadratic equation?

An equation containing one term in which the unknown is squared and no term in which it is raised to a power higher than 2.

Given: 3x² + 2kx + 3 = 0

Comparing with standard quadratic equation ax² + bx + c = 0

a = 3 b = 2k c = 3

Given that the roots of the equation are real and equal

Thus, D = 0

Discriminant D = b² – 4ac = 0

(2k)² – 4.3.3 = 0

4k² – 36 = 0

4k² = 36

k² = 9 taking square root on both sides

k = 3 or k = – 3

Hence, The values of k are 3, – 3 for which roots of the quadratic equation are real and equal.

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A rectangular tissue box is 52
5
inches long, 4 inches wide, and 1 1
4
inch tall. What is the

volume of the tissue box? Round to the nearest tenth.

Answers

hi add me now or else

What are the 3 types of solutions for systems?

Answers

The three types of solutions for systems are:

Consistent solutionsInconsistent solutionsDependent solutions

A consistent system is one where the number of equations is equal to the number of unknowns, and a unique solution can be found. An inconsistent system is one where the number of equations is greater than the number of unknowns and there is no solution.

A dependent system is one where the number of equations is less than the number of unknowns and an infinite number of solutions exist. In a consistent and dependent system, the solution can be found by using methods such as elimination or substitution.

In an inconsistent system, the system has no solution. In dependent system, the solution can be found by using methods such as elimination or substitution, but the solution is not unique it has infinite solutions.

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Please help thank you

Answers

I believe A is the answer hope this helps lol lmk if it’s correct:)

HELPPPPPP PLEASEeeeeeeeeeeeeee

Answers

Answer: 5$ for 52 days

Step-by-step explanation: (5 x 52) + 90 = 350

A kite is shaped like an isosceles triangle. To the nearest tenth what is the length of the spine?​

Answers

The length of the spine will be;

⇒ 48.2 cm

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

A kite is shaped like an isosceles triangle.

Now,

Since, A kite is shaped like an isosceles triangle.

Hence, Two sides of a triangle is equal to each other.

Let the length of the spine = x

So, We can formulate by the Pythagoras theorem,

⇒ Hypotenuse² = Base² + Perpendicular²

⇒ 62² = (78/2)² + x²

⇒ 3844 = 39² + x²

⇒ 3844 = 1521 + x²

⇒ 3844 - 1521 = x²

⇒ 2323 = x²

⇒ x = √2323

⇒ x = 48.2 cm

Thus, The length of the spine = 48.2 cm.

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What value of x satisfies the equation − 3 4x − 5 )= 2 1 − 5x?

Answers

For the given expression, x has a value of 6.5.

What are expressions?

A sentence qualifies as a mathematical expression if it comprises one or more mathematical operations, at least two numbers, or variables.

A number is 6 times larger than the other number, x, by a factor of 2.

The equation x/2 + 6 in mathematics represents this claim.

Here, we have the equation:

-3(4x - 5) = 2(1 - 5x)

Find the value of x by solving the expression:

-3(4x - 5) = 2(1 - 5x)

-12x + 15 = 2 - 10x

-2x = -13

x = -13/-2

x = 13/2

x = 6.5

Therefore, for the given expression, x has a value of 6.5.

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Correct question:

What value of x satisfies the equation -3(4x - 5) = 2(1 - 5x)?

What are the 3 types of polynomials and how many terms does each one have?

Answers

Monomial, binomial, and trinomial expressions are all categorized by the number of terms they include.

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

A polynomial with one term is called a monomial. A polynomial having two dissimilar terms is called a binomial. An algebraic expression having three terms is called a trinomial.

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The backyard of a new home is shaped like a trapezoid with a height of 46 ft and bases of 78 ft and 111 ft. What is the cost of putting sod on the​ yard, if the landscaper charges ​$0.21 per square foot for​ sod?

The sod will cost ​$

Answers

Answer:

$899.54

Step-by-step explanation:

To find the cost of sod for a trapezoid shaped yard, we need to first find the area of the trapezoid. The formula for the area of a trapezoid is:

Area = (1/2) * h * (b1 + b2)

where h is the height of the trapezoid and b1 and b2 are the lengths of the bases.

Substituting the given values, we get:

Area = (1/2) * 46 ft * (78 ft + 111 ft)

= (1/2) * 46 ft * 189 ft

= 4274 ft^2

To find the cost of sod for this area, we need to multiply the area by the cost per square foot of sod. The cost will be:

Cost = 4274 ft^2 * $0.21/ft^2

= $899.54

So the cost of sod for this yard will be $899.54.

The number of blueberry muffins that a baker makes each day is 40% of the total number of muffins she makes, on Monday the baker makes 36 blueberry muffin what is the total number of muffins that the baker makes on Monday.

Answers

Answer:

90

Step-by-step explanation:

40% is for 36

(100*36)/40

please help me

If 6 times a number = 3 times the same number,
What is that number?

Answers

Answer:

I'm pretty sure it's either 27, or 12.

Step-by-step explanation:

It’s 15 good luck !!

A school is arranging chairs in rows for an assembly. $11$ chairs make a complete row, and right now there are $110$ chairs total. The school wants to have as few empty seats as possible, but all rows of chairs must be complete. If $70$ students will attend the assembly, how many chairs should be removed?

Answers

The number of chairs that should be removed, for there to be as few empty seats as possible but for all rows of chairs to be complete, is 33 chairs.

How to find the chairs to be removed ?

The number of chairs that make up a row is 11 chairs and there are to be 70 students in attendance. The number of rows that would take the students is therefore:

= Number of students / Number of rows

= 70 / 11

= 6. 36

= 7 rows rounded up

The number of rows needed is 7 rows which means the number of chairs would be:

= 7 rows x 11 chairs per row

= 77 chairs

The number of chairs to be removed is:

= Total chairs - Chairs needed

= 110 - 77

= 33 chairs

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Rewrite in simplest rational exponent form. Show each step of your process

Answers

The final answer is 4x, which is the simplest form of expression.

What is the rational exponent?

A rational exponent is an exponent that is in the form of a ratio of two integers, such as a/b where a and b are integers and b is not equal to zero.

To rewrite the expression in simplest rational exponent form, we can first simplify the radicals and then combine any like terms. Here are the steps to simplify the given expression:

4√x* √x = 4 * 1 √x * √x = 4 * x^(1/2) * x^(1/2) = 4 * x^( (1/2)+(1/2) ) = 4 * x^(1)

x^(1) = x

So, the expression in simplest rational exponent form is 4x

x * 4x = 4x

Notice that 4 and x are in the same radical which means 4 is a coefficient of x.

Therefore, 4√x * √x can be written as 4x, which is in the simplest form.

hence, the final answer is 4x, which is the simplest form of expression.

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