1 What is the nature of the roots of the quadratic equation if the value of its discrimman
is zero?
The roots are not real
o the roots are rational and not equal
b. The roots are irrational and not equal d the roots are rational and equal
2. Whal is the ans of symmetry of the parabola y​

Answers

Answer 1

Answer:

If d is zero, both roots are rational and equal.

Step-by-step explanation:

Quadratic Equations

The standard representation of a quadratic function is:

[tex]f(x)=ax^2+bx+c[/tex]

where a,b, and c are constants.

Solving with the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

The discriminant is defined as:

[tex]d=b^2-4ac[/tex]

The sign of the discriminant defines the nature of the roots of the quadratic equation as follows:

If d is positive, both roots are real and differentIf d is negative, both roots are imaginary and conjugateIf d is zero, both roots are rational and equal.

Related Questions

1Write an equation in slope intercept form for a line that contains the
points (-3.2) and (6, 1).

Answers

Answer:

y=-[tex]\frac{1}{9}[/tex]x+[tex]\frac{5}{3}[/tex]

Step-by-step explanation:

Kaelyn has 14 coins I have a value of $1.20. She only has dimes and nickels. How many nickels does Kaelyn have?

Answers

Answer:

10 dimes would be $1.00 and 4 nickels is $.20. That equals $1.20 and 14 coins.

Kaelyn has 4 nickels

Enter the values of h and k so that y = x2 + 6x + 10 is in vertex form.

y = (x +
)2 +

Answers

Answer:

y = (x + 3)^2 + 1

Step-by-step explanation:

100% on edge

Have a nice day :]

The equation in vertex form is [tex]y = (x + 3)^2 + 1[/tex], and the values of h & k are -3 and 1

What is the vertex form?

The vertex form of an equation is a quadratic equation, written in the form of a parabola

The equation is given as:

[tex]y = x^2 + 6x + 10[/tex]

Write out the constant

[tex]y = (x^2 + 6x) + 10[/tex]

Take the coefficient of x

[tex]k = 6[/tex]

Divide by 2

[tex]k/2 = 3[/tex]

Square the expression

[tex](k/2)^2 = 9[/tex]

So, we have:

[tex]y = (x^2 + 6x + 9 - 9) + 10[/tex]

Rewrite as:

[tex]y = (x^2 + 6x + 9) -9+ 10[/tex]

[tex]y = (x^2 + 6x + 9) + 1[/tex]

Express as a perfect square

[tex]y = (x + 3)^2 + 1[/tex]

Hence, the equation in vertex form is [tex]y = (x + 3)^2 + 1[/tex], and the values of h & k are -3 and 1

Read more about vertex forms at:

https://brainly.com/question/26738087

X - 6 < -4 please help

Answers

Answer:

x<2

Step-by-step explanation:

A rectangle has length 8x 104 mm and width 4 x 104 mm. The rectangle's length is how many times
its width?
The rectangle's length is times its width.
(Type a whole number.)

Answers

Answer:

Step-by-step explanation:

It would be 2.

8/4=2

10^(4-4)=10^0 or 1

2*1=2

I really need help asappp

Answers

Answer:

d

Step-by-step explanation:

Answer:I say D the other wont work so D

Step-by-step explanation:

A fraction is shown. 6/18 Which expression is equivalent to this fraction?
A. 6 × 18
B. 18 - 6
C. 6 ÷ 18
D. 6 + 18

Answers

Answer:

C

Step-by-step explanation:

If you bought a stock last year for a price of $63, and it has risen 17% since then, how much is the stock worth now, to the nearest cent?

Answers

73.71 because 63*.17=10.71, so 63+10.71=73.71

a What fractions can you find that are equivalent to 2/3?

Answers

Answer:

4/6

Step-by-step explanation:

The fraction 4/6 is equal to 2/3 when reduced to lowest terms. To find equivalent fractions, just multiply the numerator and denominator of that reduced fraction (2/3) by any integer number, i.e., multiply by 2, 3, 10, 30... 4/6 is equivalent to 2/3 because 2 x 2 = 4 and 3 x 2 = 6 6/9 is equivalent to 2/3 because 2 x 3 = 6 and 3 x 3 = 9

solve b
3b / 7-1 = 5

Answers

Answer:

b= 2 over 7

Step-by-step explanation:

exact form b= 2 over 7

decimal form b= 0.285714

how do you Factor in algebra 2?

for example:
r^2-r-20
and
x^2+8x+12

Answers

(r-5)(r+4)

(x+6)(x+2)

Step-by-step explanation:

1 r^2 - 1 r - 20

multiply the first and third terms

-20 times 1 equals -20. take the -1

*what are two numbers that multiply together that equals -20 but add to equal -1?

-5 times 4 equals -20

-5 plus 4 equals -1

(r-5)(r+4)

1 x^2 + 8 x + 12

multiply the first and third terms

12 times 1 equals 12. take the 8

*what are two numbers that multiply together that equals 12 but add to equal 8?

6 times 2 equals 12

6 plus 2 equals 8

=(x+6)(x+2)

Please please help will give brainliest!!

Answers

Answer:

c = 13

Step-by-step explanation:

In a rectangle the diagonals bisect each other, thus

FG = FI , substitute values

7c - 67 = c + 11 ( subtract c from both sides )

6c - 67 = 11 ( add 67 to both sides )

6c = 78 ( divide both sides by 6 )

c = 13

Answer:

c = 13

Step-by-step explanation:

We know FG and FI are equal to each other because F is the cross section of a rectangle.

FG = 7c - 67

FI = c + 11

FG = FI

7c - 67 = c + 11 Add 67 to each side so it will cancel on the left

7c = c + 11 + 67

7c = c + 78 Subtract c from each side so it cancels on the right

7c - c = 78

6c = 78 Divide each side by 6

6c/6 = 78/6

c = 78/6

c = 13

help me answer please​

Answers

Answer:

x=21

Step-by-step explanation:

supplementary angles add up to 180°

7x-3+2x-6=180

collect like terms

9x-9=180

add 9 to both sides

9x=189

divide both sides by 9

x=21

Hello guys i am in secondary school y8 and need help on my school work due tomorrow please could you help me out. ​

Answers

hii!! i used an online calculator so i could help you quicker, but the area is 60, and the height is 12.

hope this helps!! <3

Which statement is modeled by 2p + 5 < 11
Group of answer choices

The sum of 5 and 2 times p is at least 11

5 added to the product of 2 and p is less than 11

2 times p plus 1 is at most 11

the product of 2 and p added to 5 is 11

Answers

Answer: 5 added to the product of 2 and P is less than 11

The reason for this is because the inequality multiples 2 and the variable p, which is the product. Then, you have to add 5 to the product of 2p. Since the sign is opened towards the 11, this indicates that the sum of 5 and 2 times p is less than 11. Hope that helps!

Slove 4(5x-2)= 2(9x+3)

Answers

Answer:

x=7

Step-by-step explanation:

divide both sides by two. distribute on the left side. minus 9x on both sides. add 4 on both sides, and you get 7.

Answer:

x = 7

Step-by-step explanation:

Firstly, use the distributive property to distribute the 4 and the 2 respectively.

[tex]4(5x-2) = 2(9x+3)[/tex]

[tex]20x-8=18x+6[/tex]

Then, isolate the variable. Start by subtracting 18x from both sides.

[tex]2x - 8 = 6[/tex]

Add 8 to both sides.

[tex]2x = 14[/tex]

Divide both sides by 2.

[tex]x=7[/tex]

2+2+2-2x4x9x2+2+2+4+4x9+1938x3871

Answers

Answer:

7,501,904

I hope this helps!

Answer:

75020220.86 is the answer

what is x

8(3x+6)=168

Answers

Answer:

x=-5

Step-by-step explanation:

24x+48=168

24x-120

x=5

8(15+6)=168

120+48=168

168=168

Answer: 5

Step-by-step explanation: 8 (3x+6)= 168/ 8 (3 x5+6)= 168; so 8(3x5+6)=168

Express 48 as a product of its primes.

Answers

Answer:

2 x 2 x 2 x 2 x 3.

Step-by-step explanation:

The number 48 expressed as a product of its prime factors is 2 x 2 x 2 x 2 x 3.

Answer:

2 x 2 x 2 x 2 x 3.

Step-by-step explanation:

^^^

What is the value of x in the figure below? In this diagram, ΔABD ~ ΔCAD.

Answers

Answer:

D

Step-by-step explanation:

The triangles CDA and ADB are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{CD}{AD}[/tex] = [tex]\frac{DA}{DB}[/tex] , substitute values

[tex]\frac{13}{x}[/tex] = [tex]\frac{x}{3}[/tex] ( cross- multiply )

x² = 39 ( take square root of both sides )

x = [tex]\sqrt{39}[/tex] → D

Answer:

D is the answer

Step-by-step explanation:

Do these 3 side lengths form a right triangle? (Yes or no question): 39 ft, 32.5 ft, 48.5 ft

Answers

Answer: the answer is no

Step-by-step explanation:

no, it is not a right triangle

Step-by-step explanation:

39 square+32.5 square=48.5 square

1,521+1056.3=2, 352.3

2577.3=2352.3

it's not the same so the result it no

At the movie theatre, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. On Monday 3,000 customers came to the theatre. How many people received both free items?

Answers

140 people received something free. 40 people received a free drink and 100 people received a free bag of popcorn

Ellie bought cookies and cupcakes from Publix for $102.44. If she spent $36.44 on cookies and the cupcakes are $11 per box, which equation represents this situation?
A)11x - 36.44 = 102.44
B)102.44x + 11 = 36.44
C)11x + 36,44 = 10244
D)102.44 + 36.44x = 11

Answers

Answer:

C

Step-by-step explanation:

She spent $102.44 in total.

She spent $36.44 on cookies.

And $11 per box of cupcakes.

This means that she knows the exact amount she spent on cookies and in total so now to find out how much she spent on cupcakes, she subtracts $36.44 from $102.44($66) and then divides 66 by 11(6). So if you needed the problem solved x=6.

How much combined 87.8 and 17.3

Answers

Answer:

105.1

Step-by-step explanation:

87.8+17.3=105.1

Please help!!! Will mark brainliest if you show your work and the answer!

Answers

Answer: Mario

Step-by-step explanation: 8 squared is 64 and 12 squared is 144, 18 squared is 324. According to the Pythagorean theorem, A squared + B squared = C squared but in this case, A squared and B squared doesn't add up to C squared so it is wrong

HURRY, PLEASE HELP!!!

Answers

Answer:

Equilateral, Isosceles, and Scalene triangles all have at least one pair of equal angles.

The angles must have the same degree and most of the time come when connected by or adjoined by 2 equal side lengths.

i will give 100 points for a simple question but the first person who answered will get what is the capital city of afghanistan ​

Answers

Answer:

kabul is yhe capital city

kabul is the capital city of Afghanistan.

thoughts on Larray's new song? anyone??

Answers

Answer:

Step-by-step explanation:

EST SONG EVER ITS ALMOST AT 40 MIL VEIWS SO COOL

A ribbon 9 feet long is cut into two pieces. One piece is 1 foot longer than the other.
What are the lengths of the two pieces?

Answers

5 feet and the other side is 4 feet!!


Giselle pays $240 in advance on her account at the athletic club. Each time she u
the account. Model the situation with a linear function and a graph.
1. b= 225-15x
2. B=240-15x
3. B=225+15x
4. B=240+15x
Help plz god bless you

Answers

Answer:

2. B=240-15x

Step-by-step explanation:

Answer:

The answer is B = 240 - 15x

Step-by-step explanation:

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