For which values of c does the quadratic equation x^(2)-2x+c=0 have No real roots?

Answers

Answer 1

Answer:

c > 1

Step-by-step explanation:

Given equation: [tex]x^2-2x+c=0[/tex]

General form of quadratic equation: [tex]ax^2+bx+c=0[/tex]

We can use the discriminant to determine the value of c for which the equation has no real roots.

[tex]b^2-4ac < 0\implies \textsf{no real roots}[/tex]

From the given equation:

[tex]a=1[/tex][tex]b=-2[/tex][tex]c=c[/tex]

Inputting these values into the discriminant formula:

[tex]\implies (-2)^2-4(1)(c) < 0[/tex]

[tex]\implies 4-4c < 0[/tex]

[tex]\implies 4 < 4c[/tex]

[tex]\implies 1 < c[/tex]

[tex]\implies c > 1[/tex]

Answer 2

Here

a=1b=-2

Discriminant must be less than 0

[tex]\\ \rm\Rrightarrow b^2-4ac<0[/tex]

[tex]\\ \rm\Rrightarrow (-2)^2-4(1)(c<0[/tex]

[tex]\\ \rm\Rrightarrow 4-4c<0[/tex]

[tex]\\ \rm\Rrightarrow 4(1-c)<0[/tex]

[tex]\\ \rm\Rrightarrow 1-c<0[/tex]

[tex]\\ \rm\Rrightarrow 1<c[/tex]

[tex]\\ \rm\Rrightarrow c>1[/tex]


Related Questions

What is the product of 6V3 and 8V30 in simplest radical form?

Answers

Answer:

144√10

Step-by-step explanation:

6√3 x 8√30

= 48√90

= 48 x 3 x √10

= 144√10

Answer:

[tex]144\sqrt{10}[/tex]

Step-by-step explanation:

   [tex]6\sqrt{3} \cdot 8\sqrt{30}[/tex]

[tex]=6\sqrt{3} \cdot 8\sqrt{3 \cdot 10}[/tex]

[tex]=6\sqrt{3} \cdot 8\sqrt{3} \sqrt{10}[/tex]

[tex]=6 \cdot 8 \cdot\sqrt{3} \sqrt{3} \sqrt{10}[/tex]

[tex]=48 \cdot3 \sqrt{10}[/tex]

[tex]=144\sqrt{10}[/tex]

Ms. Adler would like to put a border around the outside edges of her bulletin board. The bulletin board is shaped like a parallelogram. Borders are sold as 2-foot, 6-foot, 8-foot, and 12-foot rolls. Which roll must Ms. Adler buy in order to decorate her bulletin board?

Answers

Answer:

12 ft roll

Step-by-step explanation:

Area of a Rectangle
A rectangle hasa length of 2 centimeters and act of
18 centimetas What is the area of the rectangle in square meters
Emination Tool

Answers

Answer:A=wl=18·2=36cm²A=36cm²

A data set has a maximum of 84, a minimum of 34, a median of 52. 5, an upper quartile of 64, and a lower quartile of 44. Which statement is true of the box plot of this data set? The box will go from 44 to 64. A line dividing the box will be at 54. The left whisker will go from 34 to 52. 5. The right whisker will go from 44 to 84.

Answers

The statement which is true about the box plot for the provided data set is that the box will go from 44 to 64.

What is box plot representation of data?

Box plot is the way of representation of data which gives the graphical image of the data set to understand better.

The minimum and the maximum values in the box plot is plotted at the end points.

The values of the data set is given as,

The data set has a maximum of 84, The minimum of 34, a median of 52. 5, The upper quartile of 64, and The lower quartile of 44.

The statement is true of the box plot of this data set has to be find out.

In a box plot, the quartile is the limit of the box plot. The values can be go from the upper quartile to the lower quartile in a box plot.

Here, the upper quartile of the box plot is 64 and the lower quartile of box plot is 44. Thus, it can go only from 44 to 64.

Hence the statement which is true about the box plot for the provided data set is that the box will go from 44 to 64.

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Analyze Star Stream’s cost-volume-profit relationships Star Stream is a subscription-based video streaming service. Subscribers pay $120 per year for the service. Star Stream licenses and develops content for its subscribers. In addition, Star Stream leases servers to hold this content. These costs are not variable to the number of subscribers, but must be incurred regardless of the subscriber base. In addition, Star Stream compensates telecommunication companies for bandwidth so that Star Stream customers receive fast streaming services. These costs are variable to the number of subscribers. These and other costs are as follows: Enter your answers in whole dollars. Assume the same content cost scenario as in (b). How much would the annual subscription need to change in order to maintain the same break-even as in (a)? The annual subscription need to

Answers

a. The determination of the break-even number of subscribers for Star Stream is as follows:

Break-even number of subscribers = Fixed Costs/Contribution Margin per subscriber

= 35,294,118 ($3,000,000,000/$85)

b. If Star Stream increases the annual content costs to $2,600,000,000, the break-even number of subscribers will increase to 42,352,941 subscribers.

= 42,352,941 ($3,600,000,000/$85)

c. The annual subscription needs to increase from $120 to $142 to maintain the same break-even as in (a).

What is the break-even analysis?

The break-even analysis is a financial tool for determining the price level at which the total revenue equals the total costs (variable and fixed).

Using the break-even analysis model, one can determine the number of units to sell so that fixed costs are recovered.

Question Completion, Data, and Calculations:

Server lease costs per year = $100,000,000

Content costs per year = $2,000,000,000

Fixed operating costs per year = $900,000,000

Total fixed costs per year = $3,000,000,000

Bandwidth costs per subscriber per year = $15

Variable operating costs per subscriber per year = $25

Subscription per year = $125

Contribution margin per subscriber per year = $85 ($125 - $15 - $25)

Contribution margin ratio = 68% ($85/$125 x 100)

a. Determine the break-even number of subscribers.

b. Assume Star Stream planned to increase available programming and thus increase the annual content costs to $2,600,000,000. What impact would this change have on the break-even number of subscribers?

c. Assume the same content cost scenario in (b). How much would the annual subscription need to change to maintain the same break-even as in (a)?

Thus, with an annual subscription of $142, the variable cost of $40 per subscriber per year, contribution margin of $102 ($142 - $40), and a total fixed cost of $3,600,000,000, the break-even number of subscribers will remain 35,294,118 ($3,600,000,000/$102).

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Lorena's backpack has a mass of 22,000 grams. What is the mass of Lorena’s backpack in kilograms? Lorena's backpack weighs___kilograms.

Answers

Answer:  22

Explanation:

Divide by 1000 to go from grams to kilograms.

This is because 1000 grams = 1 kg.

kilo = thousand

I will give BRAINILEST!!! Answer both questions

Answers

Step-by-step explanation:

Formula for circumference is C= pi x d

So C= pi x 10 = 31.4 in

Area = pi x r^2

= pi x (4)^2

= pi x 16

= 16 pi

= 50.24 in^2

What is the value of x2 + 4 for x = 5?

Answers

Answer:

14

Step-by-step explanation:

all you have to do is substitute x , sooo

5(2) + 4

10 + 4

14

Help me please!!!!!!

Answers

Answer:

Area = 1/10

Step-by-step explanation:

Since the Area of Triangle = 0.5*Base*Height

So, for our Problem

Base=3/5 km  ,  Height=1/3 km

Area =  0.5*Base*Height =   [tex]\frac{1}{2} *\frac{3}{5} *\frac{1}{3}[/tex]

Area = [tex]\frac{1}{2} *\frac{1}{5}=\frac{1}{10}[/tex] Square Kilometers

Mia went shopping for a new pair of pants because of a sale. The price on the tag was $34, but Mia paid $27.20 before tax. Find the percent discount.

Answers

Answer:

20%

Step-by-step explanation:

$34 - $27.20 = $6.80

[tex]\frac{6.80}{34} = 0.2[/tex]

0.2 x 100 = 20%

:]

The percent of discount in the tag is, 20%.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The price on the tag was $34, but Mia paid $27.20 before tax.

Here, The discount price = $34 - $27.20

                                       = $6.8

Hence, The percent discount = 6.8 / 34 × 100

                                              = 20%

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y = 6x2+36x+59

What is the vertex form

Answers

Answer:

Step-by-step explanation:

Axis of Symmetry y=-6x^2+36x-12. y=−6x2+36x−12 y = - 6 x 2 + 36 x - 12 Rewrite the equation in vertex form.

Answer:

x=3

Step-by-step explanation:

       

Solve the equation
|X+2|+4 = 11

O X= 5
O no solution
O X=5,-9
O X= 7, -11

Answers

Step-by-step explanation:

it must have 2 solutions, as the absolute value makes negative and positive values equal.

so, 2 approaches : positive and negative.

1. positive

(x + 2) + 4 = 11

x + 6 = 11

x = 5

2. negative

-(x + 2) + 4 = 11

-x - 2 + 4 = 11

-x + 2 = 11

-x = 9

x = -9

so, the third answer (x = 5, -9) is correct.

I will give brainliest
Find Volume of the cone

Answers

Answer:

2042.4

Step-by-step explanation:

V = πr² h/3

V= π r2h 3=π·102·19.53 ≈ 2042.4

who ever get this right gits brainly

Answers

Answer:

24

Step-by-step explanation:

23 and 6/7 rounds to 24. This is because 23 and 6/7 is to 24 than 23.

Answer:

24 is the correct answer

Step-by-step explanation:

complete the table fill the blanks

Answers

Answer:

-1=41

0=-8

1=-15

2=-22

so these are the answers

Compare continuous functions f, g, and h, and match the statements with the function they best describe.

Drag each description to the correct location on the table.

This function has the
lowest y-intercept.This function has the
highest y-intercept.This function is decreasing
over the longest interval.This function is increasing
over the longest interval.

Answers

Answer:

One is wrong so double check

Step-by-step explanation:

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS MATH QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

4.7 inches

Step-by-step explanation:

I believe the answer is 4.7 inches. Use pi * diameter to find the circumference, then multiply the circumference by 1/10 to find the outer perimeter of frosting for one slice of cake. Round that number to the nearest 10th.

Suppose that g(x)=f(x-4) witch statement best compares the graph of g(x) with the graph of f(x)?

A) The graph of G(X) shifted 4 units up
B) The graph of G(X) is shifted 4 units to the right
C) The graph of G(X) is vertically stretched by a factor of 4
D) The graph of G(X) is shifted 4 units to the left

Thanks from Austin⊕

Answers

C I think is the answer ?

Which expression has a value of 16 when n = 5?
StartFraction 25 Over n EndFraction + 7
30 minus 3 n
7 + StartFraction 45 Over n EndFraction
n cubed minus 114
HURRY!!!!!!!!!!!!!!!!!!!

Answers

1.) 25over5 + 7 = 12❌
2.) 30-(3*5)= 15 ❌
3.) 7+ 45over5 = 16✅
4.) 5cubed - 114 = 11 ❌

Answer:

c i think

Step-by-step explanation:

Make up an equation for a quadratic function whose graph satisfies the given condition. Use whatever form is most convenient. i. Has a vertex at (−2,−5). ii. Has a y-intercept at (0, 6). iii. Has x-intercepts at and (3, 0) and (5, 0). iv. Has x-intercepts at the origin and (4, 0). v. Goes through the points (4, 2) and (1, 2).

Answers

Answer:

yx6

Step-by-step explanation:

Write 3c- 11c^4 - 6 + 5c^2 in standard form. Write degree of the polynomial.

Answers

Answer:

−11c4+5c2+3c−6  degree is 4

Step-by-step explanation:

Given right triangle QRS, what is the value of sin(30o)?
Options
1. 1/2
2. √3/3
3. 2/1
4. √3/2

Answers

Answer:1/2

Step-by-step explanation:



What is the sum of the series


1830

2010

5400

5490

Answers

Answer:

I think 2010 that's my answer

The sum of series is 2010.

What is series?

A series is "number of things that happens one after another and are of the same type or connected" .

According to the question,

2010

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Which graph represents the function?

f(x)=3√x-2

Answers

Answer:

The last graph

Step-by-step explanation:

So, what you do is plug in some points.

Let's try x = 0.

f(x) =  3[tex]\sqrt{0}[/tex] - 2 = -2

First point is (0,-2)

There is only one graph with this point at that is the last graph.

a square has a side length of 6 inches it is enlarged and the ew side length is 18 inches what is the scale factor?

Answers

Answer:

3:1

Step-by-step explanation:

Four (4) cupcakes and three (3) milkshakes cost $23. Two (2) cupcakes and four (4) milkshakes cost $24. Calculate the cost of one cupcake and one milkshake.

Answers

Answer:

Step-by-step explanation:

Let the cupcake cost = c

Let the milkshake cost = m

4c + 3 m = 23

2c + 4m = 24        multiply this equation by 2

2(2c + 4m = 24)

4c + 8m =     48        Now put the first equation underneath this one

4c + 3m = 23       Subtract

       5m = 25         Divide by 5

        m = 25/5

         m = 5

Use 2c + 4m = 24

m = 5

2c + 4*5 = 24            Combine

2c + 20 = 24             Subtract 20 from both sides

2c = 24 - 20

2c = 4                        Divide by 2

c = 4/2

c = 2

Answer

cupcakes = $2.00Milkshakes= $5.00  

What is the distance between (4, 3) and (7, 3)?

Answers

There is a difference of 3 on the x axis
For this one 3 is the distance between you’re coordinate points.

8x-2

19

Solve for x.

46°

11x+14

Answers

Answer:

x=+10

Step-by-step explanation:

the answer should be x=+10

PLEASE I NEED HELP WITH THIS MATH QUESTION!!!! GIVE FULL DETAIL!!! 10 PTS

Answers

Step-by-step explanation:

for a function every valid x value must have exactly 1 y value. several x values can have the same y value assigned but never can a x value have multiple y values assigned.

the valid x values for m are -3. -2, -1, 1, 2, 3.

and indeed, every one of these values has exactly one y value out of the possible 1, 4, 9 values.

so, m is a function.

but the inverse function turns the meaning of x and y upside-down. x becomes y and y becomes x.

and now we see that for the inverse the x value of 1 has two assigned y values (-1, 1).

the same for 4 (-2, 2) and 9 (-3, 3).

so, the inverse is NOT a function.

Wynona buys some new boots that are priced $85. 79. She gets successive discounts of 10% followed by 5% off on the boots. The purchase price of Wynona’s boots is _____ of the original price. A. 84% b. 84. 5% c. 85% d. 85. 5%.

Answers

The purchase price of Wynona’s boots is 85.5% of the original price.

It is given that

The marked price of boots = $85.79

What is the percentage?

The percentage is a relative value indicating the hundredth parts of any quantity.

Price after a discount of 10% = [tex]85.79 - 85.79*10/100 = 77.211[/tex]

Price after another discount of 5% = [tex]77.211-77.211*5/100 = 73.35[/tex]

[tex]\frac{PurchasePrice}{OriginalPrice}*100 =\frac{73.35}{85.79}*100 = 85.5[/tex]

Therefore, The purchase price of Wynona’s boots is 85.5% of the original price.

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