HELP PLEASE
Use the value of the discriminant to determine the number and type of roots for the equation,
X^2 = 4x - 4
A. 2 real, irrational roots
B. 1 real, rational root
C. 2 complex roots
D. 2 real, rational roots

Answers

Answer 1

We are given –

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x² = 4x -4[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x² -4x +4 = 0[/tex]

Where, a = 1 ; b = -4 ; c = 4

Let's find it's discriminant.

We know

[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf Discriminant = b² - 4ac}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf Discriminant = (-4)² - 4 \times 1 \times 4[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf Discriminant = 16-16[/tex]

[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\sf Discriminant =0 }[/tex]

If Δ (Discriminant) >0here are two separate real roots.If Δ (Discriminant) =0, there are two identical real roots.If Δ (Discriminant) <0, there are no real roots, but there are two complex roots.

As we got

Δ Discriminant is 0 that means , there are two identical real roots. Henceforth, Option (D) 2 real, rational roots – is correct.

Related Questions

HELP PLZ!!!!
1) Which rigid motion will verify that rectangle ABCD is congruent to rectangle A'B'C’D’ ?
A) A reflection over x-axis.
B) A reflection over y-axis.
C) A 270° clockwise rotation about the origin.
D) A 90° counterclockwise rotation about the origin.
2) Which rigid motion will verify that rectangle A'B'C'D' is congruent to rectangle A"B"C"D"?
A) A reflection over x-axis.
B) A reflection over y-axis.
C) A translation 8 units to the right.
D) A 90° counterclockwise rotation about the origin.

Answers

Answer:

reflection over x-axis

hope that helps!!!

Express each ratio as a fraction in simplest form.
2 gallons to 27 quarts

Answers

The ratio 2 gallons to 27 quarts as a fraction in its simplest form is 4/27

The given ratio is:

2 gallons to 27 quarts

This can also be written as:

2 gallons  :  27 quarts

Convert 27 quarts to gallons so that both items in the ratio can be of equal unit

Note that:

1 quart  =  0.25 gallons

27 quarts = 0.25 x 27

27 quarts = 6.75 gallons

The ratio can therefore be re-written as:

2 gallons :  6.75 gallons

In fraction form:

2 gallons  :  27 quarts = 2/6.75

Multiply the numerator and denominator by 4

2 gallons  :  27 quarts  =  4/27

The ratio 2 gallons to 27 quarts as a fraction in its simplest form is 4/27

Learn more here: https://brainly.com/question/25843849

1 – 2x + 3y for when X = – 2 and y = – 5

Answers

Answer:

-12

Step-by-step explanation:

1-2x+3y

1-2(-2)+ 3(-5)

1-4-9

= -12

Nia needs 15 pieces of string each ½ of a inch long. She cut a 6-inch piece of string into pieces that are each ½ of an inch long. How many more pieces of string does she need?

Answers

2 times plus 1 would be the answer I think

X, Y, and Z are collinear and Y is between X and Z. If XY = 3x – 1, YZ = 5, and XZ = 5x – 8,

what is the value of x?

a. 6
b. 4
c. 10
d. 8

Answers

Answer:

6

Step-by-step explanation:

XY = 3x – 1, YZ = 5, and XZ = 5x – 8,

We know that XY + YZ = XZ, so

3x - 1 + 5 = 5x - 8

3x + 4 = 5x - 8

3x + 12 = 5x

12 = 2x

6 = x

The value of x from the given line segment XZ is 6. Therefore, the correct answer is option A.

Given that, X, Y, and Z are collinear and Y is between X and Z.

Collinear points are those that are on the same straight line or in the same plane. In Euclidean geometry, two or more points on a line that are close to or far from each other are said to be collinear.

So, here [tex]XZ=XY+YZ[/tex]

[tex]5x-8=3x-1+5[/tex]

[tex]5x-8=3x+4[/tex]

[tex]5x-3x=4+8[/tex]

[tex]2x=12[/tex]

[tex]x=6[/tex]

Therefore, the correct answer is option A.

To learn more about an collinear points visit;

https://brainly.com/question/5191807.

#SPJ3

x over 3 is less then or equal to 5

Answers

Answer:

x/3 ≤ 5

I'm not sure if this is what you were looking for. If not, please be more specific in your questions!

Answer:
X over 3 is less than 5
What is x?
If there is nothing for x than 5 is greater than x over 3

13. Write the equation of the line perpendicular to
5y = 3x + 25 but passing through (-4,-1)

Answers

Answer:

y = -[tex]\frac{5}{3}[/tex]x - -[tex]\frac{23}{3}[/tex]

Step-by-step explanation:

First, let's divide both sides by 5 to get the first equation into the form y = mx + b. We get y = [tex]\frac{3}{5}[/tex]x + 5. The m value, [tex]\frac{3}{5}[/tex], is the slope and the b value, 5, is the y-intercept of this line.

When a line is perpendicular to another line, the slopes must multiply to get -1. In other words, the slopes must be a negative reciprocal of each other. Since the slope of the original line is [tex]\frac{3}{5}[/tex], we know that the slope of the line perpendicular to that is -[tex]\frac{5}{3}[/tex].

Then, since we know x, y, and m of the second equation, we can substitute those three values into the equation, y = mx + b, to find the y-intercept (b).

-1 = (-[tex]\frac{5}{3}[/tex])(-4) + b

-1 = [tex]\frac{20}{3}[/tex] + b

b = -[tex]\frac{23}{3}[/tex]

After plugging in the values of m and b we calculated, we get the equation for the line perpendicular to the original line: y = -[tex]\frac{5}{3}[/tex]x -[tex]\frac{23}{3}[/tex].

Calculate the measure of arc AC if the measure of arc CD is 170 degrees and arc AB is 80 and AB||CD.

Answers

Answer:

  AC = 55°

Step-by-step explanation:

In this geometry, arcs AC and BD have the same measure. The sum of the parts of arc CD will total the measure of CD.

  AC + AB + BD = CD

  2AC +80 = 170

  AC = 110/2 = 55

The measure of arc AC is 55°.

Answer:

AC = 55°

Step-by-step explanation:

because the measure is part of CD. Hope this helps!

15 minutes how many students read the book in an hour

Answers

Answer:

Your reading speed will increase if you're reading a book you're familiar with than one you barely know. So, on average, you can read 40 to 50 pages of a book in an hour.

Step-by-step explanation:

Translate the phrase into an expression with integers: negative 13. Do not simplify your expression.

Answers

Answer:

-13

Step-by-step explanation:

negative 13 = -13

Sarafina Ltd is considering two new investment projects, project A and project B. Each project would require an immediate cash outlay of Ksh. 10 million. The company expects to have available enough resources to undertake only one of the projects.The company management believe that return from existing activities and from the new projects will depend on economic environment that will prevail during the coming year. The estimated returns and probabilities of the possible economic environments are as follows:Economic environmentGoodFairBadProbability0.30.40.3Return from project A (Ksh "000")12,50012,5009,500Return from Project B (Ksh "000")10,00011,75013,000Aggregate return from existing portfolio of projects. (Ksh "000")90,000120,000130,000The company has a current market value of Ksh. 100 million. The management believe that the risks and returns per shilling of market value of their existing activities are similar to those of the stock market as a whole, including their dependence on whichever economic environment prevails. The return on treasury bills is 8% per annum.Using CAPM, advise the management of the company on which of the two projects should be accepted.

Answers

i’m gonna be honest. i am not gonna read that but the answer is -98

rewrite expression as a single power. 5^3/5^6

Answers

Answer:

1/125

Step-by-step explanation:

Simply subtract the exponents

in this case 6 - 3 so then its now 5 / 5^3

now just make the numerator a 1

1 / 5^3

5x5x5 = 125

1/125

Answer:

0.008

Step-by-step explanation:

i did 5 to the 3rd power which is 125

Then i did 5 to the 6 power and got 15625

finally I divided the answers and got  0.008   or in 125

hlo math genius plz help no spam !!! (*°*°)
the area of a rectangle field 1800 m2 .If the ratio of length and breadth is 5:4, find itz perimeter​

Answers

Let

Length=5xBreadth=4x

ATQ

[tex]\\ \sf{:}\longrightarrow Area=1800[/tex]

[tex]\\ \sf{:}\longrightarrow Length(Breadth)=1800[/tex]

[tex]\\ \sf{:}\longrightarrow 5x(4x)=1800[/tex]

[tex]\\ \sf{:}\longrightarrow 20x^2=1800[/tex]

[tex]\\ \sf{:}\longrightarrow x^2=900[/tex]

[tex]\\ \sf{:}\longrightarrow x=30[/tex]

Length=L=5(30)=150mBreadth=B=4(30)=120m

[tex]\\ \sf{:}\longrightarrow Perimeter=2(L+B)[/tex]

[tex]\\ \sf{:}\longrightarrow Perimeter=2(150+120)[/tex]

[tex]\\ \sf{:}\longrightarrow Perimeter=2(270)[/tex]

[tex]\\ \sf{:}\longrightarrow Perimeter=540m[/tex]

I need help with this. I'm so lost..​

Answers

Answer:

1. Answer Is 33

2. Answer Is 25

3. Answer Is 33

Scatter plot has one dot for each data point. Create a graph with the known variable along the x axis and the dependent variable along the y axis. In this case latitude for a city is unchanging so it belongs on the x axis. Temperature on the y axis. Use the highest and lowest value from each list to determine the scale 25 to 45 latitude and 32 to 76 degrees temp. So I chose 25 to 50 for latitude and 30 to 80 for temperature. Plot the points on the graph. I labeled them for clarity but this is not a necessary feature of a scatter plot. Then you use the assigned method to determine the slope and intercept of the trend line. I used Excel. You can use a scientific calculator or the pencil/paper algorithm. The slope is -2.48. Which means that change of +1 latitude results in lower temperature by 2.48 F
At latitude zero, expected temp is 137. This highlights the problem of extrapolation, which is a side issue. Plugging latitude 50 into the resulting equation yields 13.6 degrees F. NB both latitude and temperature are measured in “degrees” but these are vastly different. I left the unit off latitude to avoid this confusion.



A recipe calls for cup
3/4of milk to make 4
cookies. If Sarah wants to
cut the recipe in, 1/2how
much milk would she
need?


Answers

she would need 3/8 cups of milk.

3/ 8

of a cup.

Explanation:

You want half of the recipe, so you want half of

3/4

of a cup.

Of means multiplication when it comes to fractions, so multiply

3/4  by 1/2 to get 3/4 ⋅ 1/2 = 3/8

Question 25 of 55
Compare 5 and - 8. Which of the following is true?
O A. 15| > |-81 and 5 > -8
B. 151 > T-81 and 5<-8
O C. 151 = 1-8) and 5 >-8
O D. 151 < |-81 and 5 >-8
Plz answer it will be nice thanks

Answers

ANSWER: d,

EXPLANATION:

5 is less than 8 (it’s 8 cause it’s in the lines) but 5 is more than -8

Hope this helps

Given h(x)=4x-1, solve for x when h(x)=-9

Answers

Step-by-step explanation:

h(x) = 4x - 1

given,

h(x) = -9

now,

h(-9) = 4(-9) - 1

-36 - 1

-37

hope this answer helps you dear, take care!

Answer:

x = - 2

Step-by-step explanation:

Given h(x) = 4x - 1 and h(x) = - 9, then equating right sides gives

4x - 1 = - 9 ( add 1 to both sides )

4x = - 8 ( divide both sides by 4 )

x = - 2

Due in 1 min!!!! Please help!!!

Answers

Answer:

7^-25

Step-by-step explanation:

7^1/5^5

7^5^-1*5

7^5^-5

7^5*-5

7^-25

Answer:

7

Step-by-step explanation:

[tex](7^{\frac{1}{5}})^{5}[/tex]

[tex]7^{\frac{1}{5}*{5}[/tex]  -- simply, (5 cancels)

7

In mrs kuliks class there are 20 female students and 8 male students what is the percent of male students

Answers

Answer:

About 29%

Step-by-step explanation:

Determine what type of model best fits the given situation: A $500 raise in salary each year. A. exponential B. quadratic C. none of these D. linear​

Answers

Answer:

A - Exponential

Step-by-step explanation:

Exponential is the best fitting model because there's a $500 raise in salary each year, so $500 is added to the salary of the previous year.

Drake is playing basketball. He knows that he can score one, two, or three-point shots in a game, and he has already scored 5 points this game. He wants to score at least 20 points before the game ends.

Answers

Answer: He needs to splash the threes

Step-by-step explanation: He dosent have the vertical so he just needs to have a splashy 3 pointer

How does a value that is greater

than 100% of the original value or less than

1% of the original value compare to the original

value?

Answers

[tex] \: \: \: \: \: \: [/tex]

If a value is greater than 100% of the original value, then it is larger than the original value. For example, 150% of 6 is 6 150% = 61.5 =9> 6. -

If a value is greater than 100% of the original value, then it is larger than the original value. For example, 150% of 6 is 6 150% = 61.5 =9> 6. -If the value is less than 1% of the original value, then it is smaller than the original value. For example, 0.1% of 6 is 6 0.1% = 6 0.001 0.006 < 6.

hope it helps

- 8i - 7i

A. - 15i
B. 15i
C.-15 l^ 2
D. 15i ^ 2

Answers

A. - 15i is your answer

A bag only contains 4 red and 6 blue marbles. What is the probability of drawing a green marble?
NO LINKS OR TROLL
THIS IS YOUR WARNING

Answers

Answer:

0% chance

Step-by-step explanation:

there are no green marbles

Marbles no

red=4blue=6green=0

There is no green marbles

So it will never occur(impossible event)

Probability is 0

Rewrite using a single positive exponent..-

7^2
——
7^-4

Answers

Answer:

7 ^2 ⋅ 7 ^4 = 49^6

Step-by-step explanation:

7² / 7 ⁻⁴

= 7²⁻⁽⁻⁴⁾

= 7 ⁽²⁺⁴⁾

= 7⁶

= 117649

Remember :-

xᵃ / xᵇ = xᵃ⁻ᵇ

___

Hope it helps ⚜

johan earns $650 per week and works 48 hours a week. if he gets a free tax allowance of $8000, pays tax at a rate of 10% on the next $10000 and 20% on the rest. how much tax will he pay in a year?​

Answers

Answer:

follow me on the gram (andrewa223) also the answer is a

Step-by-step explanation:

What is:
9e−7=7e−11
Show Work

Answers

Answer: -2

Step-by-step explanation:

9e-7=7e-11

-7e         -7e

2e-7=-11

   +7  +7

2e=-4

/2   /2

e=-2

The world’s two highest dams are both in Tajikistan. The Rogun dam is 35 meters taller than the Nurek dam. Together they are 635 meters tall. Find the height of the Nurek dam

Answers

Answer: Rogun dam is 335m tall and Nurek dam is 300m tall

Step-by-step explanation:

I will use [tex]r[/tex] to represent the height of the Rogun dam and [tex]n[/tex] to represent the height of the Nurek dam.

The system of equations is as follows:

[tex]r+n=635[/tex]

[tex]r-n=35[/tex]

From the second equation, we can rearange it to be:

[tex]r=35+n[/tex]

Then take this new value of [tex]r[/tex] and plug it into our first equation to find [tex]n[/tex]

[tex](35+n)+n=635[/tex]

[tex]35+2n=635[/tex]

[tex]2n=600[/tex]

[tex]n=300[/tex]

This means that the Nurek dam is 300m tall, and the Rogun dam is 335m tall, found by pluggin the value into our first equation:

[tex]r+300=635[/tex]

[tex]r=335[/tex]

Complete the two column proof

Answers

Answer:

Step-by-step explanation:

a. addition

b. division

c. given

urgent !!
<1 and <5 are what kind of angles

Answers

Answer:

Obtuse Angles are

1, 3, 5, 7, 9, 11

Acute angles are

2, 4, 6, 8, 10, 12

Step-by-step explanation:

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