If the value the discriminant is exactly 0, what is true about the graph of the quadratic equation?

Answers

Answer 1
A discriminant of zero means the quadratic equation has one real root. In other words, the only part of the parabola touch the x axis is the vertex. The vertex is the bottom of the parabola.

An example is provided in the attached picture
If The Value The Discriminant Is Exactly 0, What Is True About The Graph Of The Quadratic Equation?
Answer 2

The truth about the graph of the quadratic equation would be the vertex of the parabola connects the x-axis when the value of the discriminant is exactly zero.

What is a quadratic equation?

The quadratic equation is defined as a function containing the highest power of a variable is two.

When discriminant D of a quadratic equation,

D = 0

Roots are equal and real

D > 0

Roots are real and different

D < 0

Roots have not existed.

When the discriminant is zero, there is only one real root to the quadratic equation. In other words, only the vertex of the parabola connects the x-axis. The vertex is the parabola's base.

Therefore, the truth about the graph of the quadratic equation would be the vertex of the parabola connects the x-axis when the value of the discriminant is exactly zero.

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If The Value The Discriminant Is Exactly 0, What Is True About The Graph Of The Quadratic Equation?

Related Questions

Need help with this algebra problem 15 points will give brainiest if right

Answers

Answer:

b is the lowest and d is the highest y axis

Step-by-step explanation:


What is an equation of the line that passes through the point (-6, -7) and is
perpendicular to the line 6x + 5y = 30?

Answers

Answer:

Step-by-step explanation:

Product of slope of perpendicular lines = -1

6x + 5y = 30

Write this equation in y = mx + b  form

        5y = -6x + 30

          y = [tex]\frac{-6}{5}x+\frac{30}{5}[/tex]

          [tex]y=\frac{-6}{5}x + 6[/tex]

Slope of this line m₁ = -6/5

m₁ * m₂ = -1

      m₂ = -1÷m₁ = -1 * [tex]\frac{5}{-6}[/tex]  

[tex]m_{2}=\frac{5}{6}[/tex]     & (-6 , -7)

Equation of the required line: y - y₁ = m (x - x₁)

[tex]y - (-7) = \frac{5}{6}(x - [-6])\\\\y + 7 = \frac{5}{6}x + 6 *\frac{5}{6}\\\\y = \frac{5}{6}x +5-7\\\\y=\frac{5}{6}x-2[/tex]

como se obtiene la raiz cuadrada de un numero? ​

Answers

Answer:

Multiplica el numero por si mismo.

Step-by-step explanation:

Por ejemplo, la raíz cuadrada de 3 es 9 porque 3x3=9

A sculptor is designing her new triangular masterpiece. In her scale​ drawing, the shortest side of the triangular piece to be made measures The longest side of the drawing measures The longest side of the actual triangular piece to be sculpted must be long. How long will the shortest side of this piece​ be?

Answers

Answer:

3.71 m

Step-by-step explanation:

Here is the complete question.

A sculptor is designing her new triangular masterpiece. In her scale​ drawing, the shortest side of the triangular piece to be made measures 7 cm. The longest side of the drawing measures 20 cm. The longest side of the actual triangular piece to be sculpted must be 10.6 m long. How long will the shortest side of this piece​ be?

Solution

This is a scale drawing question.

Since scale = Scaled size/Actual size, we need to find the scale ratio of the triangle.

Now, the longest side of the drawing measures 20 cm which is equal to the scaled size and the longest side of the actual triangular piece to be sculpted is 10.6 m long which is the actual size.

So, scale = 20 cm/10.6 m

= 0.2/10.6

= 1/53.

Since in the scale drawing, the shortest side of the triangular piece to be made measures 7 cm, this is the scaled size, so the actual size of the shortest side is gotten from

scale = Scaled size/Actual size.

So,

Actual size = Scaled size/scale

= 7 cm ÷ 1/53

= 53 ×7 cm

= 371 cm

= 3.71 m

The curved surface area of a right circular cylinder of height14 cm is 88 cm2. Find the diameter of the base of the cylinder.

Answers

Answer:

4

Step-by-step explanation:

The formulae for Curved surface

area = πrh

Area = 88cm2

height = 14cm

radius = ?

Let π be 22/7

88 = 22/7 x r x 14

cross multiply

88 x 7 = 22 x 14 x r

616 = 308r

Divide both sides by 308

r = 2

Diameter = Radius x 2

so our radius is 2, 2 x 2 = 4

In a sports competition, Alyssa was penalized -16 points. She received the same number of penalty points in each of the 4 events. How many points was she penalized each event?

Answers

Answer:

-64

Step-by-step explanation:

multiply -16 by 4 to get the total of -64

Rewrite in simplest terms: 4(-3f-4)-9f

Answers

Answer:

-21f-16

Step-by-step explanation:

4(-3f-4)-9f

-12f-16

Find the midpoint (-4,6) (5,-9)

Answers

The midpoint would be (1/2, -3/2). Hope this helps! Please mark brainliest:)

Is this the answers? Idk I’m dumb

Answers

Answer:

Step-by-step explanation:

yes i think

What is the value of x in the equation -6x-5x+22?
-22
-2
2
22
What is the answer

Answers

Answer:

theres no answer

Step-by-step explanation:

is there more?

Question 4 fast please

Answers

Answer:

X=-10

Step-by-step explanation:

Collinear points are points on the same line.

Use the equation of gradient to find the gradient. Then use the gradient to find X

[tex]\frac{Y2-Y1}{X2-X1}=Gradient of a slope[/tex]

[tex]\frac{2-(-4)}{3-0}=\frac{2+4}{3}=\frac{6}{3}=2[/tex]

[tex]\frac{x+4}{-3-0}=2[/tex]

Multiply both sides of the equation to get rid of the fraction.

[tex]\frac{x+4}{-3}*-3 =2*-3[/tex]

x+4=-6

x=-6-4

x=-10

Hugo began his science experiment with 22 grams of sugar crystals. During the experiment, the change in the mass of the sugar crystals was

6 grams.
What is the final mass of the sugar crystals?

Answers

Answer:

its actually 16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Katarina wrote the standard form of a linear equation as 4x – 4 x minus StartFraction 2 Over 3 EndFraction y equals 8.Y = 8. Sofiya told her that the equation was not yet in standard form and gave her the right advice for how to fix it. What advice did Sofiya give to Katarina? Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 24. Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12. Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 8. Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 4.

Answers

Answer:

Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12.

Step-by-step explanation:

Katarina's equation

4x - 2/3y = 8

In order to convert Katrina's linear equation into standard form,

She should find the least common denominator

4x - 2/3y = 8

{4x(3) - 2y(1)} / 3 = 8

(12x - 2y) / 3 = 8

Multiply both sides by 3

(12x - 2y) / 3 × 3 = 8 × 3

12x - 2y = 24

Divide both sides by 2

(12x - 2y) / 2 = 24 / 2

6x - y = 12

The advice sofiya gave Katrina is to Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12.

Answer:

B) Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12.

Step-by-step explanation:

edg2020

Identify the domain and range of each relation
whether the relation is a function.
1. {(3, 6), (5,7), (7.7) (8. 9)}

Answers

domain is all the x values so 3,5,7,8
and the range is all the y values so 6,7,9 (don’t repeat numbers)
yes it’s a function because the x values dont repeat

Apocalyptica Corp. pays a constant $18 dividend on its stock. The company will
maintain this dividend for the next 4 years and will then cease paying dividends
forever. If the required return on this stock is 7.78 percent, what is the current share
price?​

Answers

Given :

Apocalyptica Corp. pays a constant $18 dividend on its stock.

The company will  maintain this dividend for the next 4 years and will then cease paying dividends  forever.

To Find :

If the required return on this stock is 7.78 percent, what is the current share

price.

Solution :

Current price ( After 4 hours ) :

[tex]C.P = 18[\dfrac{1}{(1+0.10)^1}+\dfrac{1}{(1+0.10)^2}+\dfrac{1}{(1+0.10)^3}+\dfrac{1}{(1+0.10)^4}]\\\\C.P=\$57.058[/tex]

Therefore, current share  price is $57.058 .

Hence, this is the required solution.

Round 297,433 to the nearest hundred.

Answers

Rounded to the nearest hundred would be 297,400

Hope this helps!

Answer:

297,433 rounded to the nearest hundred would be 297,400. You can see that 33 is less than 50, so it would be rounded down to 0.

what is 6g-m/2 if g=4 and m=16

Answers

Answer:

I think the answer would be 16?

Step-by-step explanation:

if you plug in the given numbers that represent each letter it would be 6(4)-16/2 = 24-8= 16

can someone help me figure this out ?

Answers

Answer: AAS

Step-by-step explanation:

Lets call the intersection point between AC and DE F.

I think he meant the two triangles AFE and DFC.

We know angle A is congruent to angle D.

We also know AE is congruent to DC.

There is also a hidden piece of evidence which is AFE is congruent to DFC due to vertical angles.

We know two angles and 1 side, so we can use AAS to figure out that the two smaller triangles are congruent.

Which of the following fractions have the same value as 16 ÷ (–3)? Check all that apply.
A.StartFraction 16 over negative 3 EndFraction
B.StartFraction negative 16 over negative 3 EndFraction
C. StartFraction negative 16 over 3 EndFraction
D.StartFraction 16 over 3 EndFraction
E.Negative (StartFraction 16 over 3 EndFraction)
F.Negative (StartFraction 16 over negative 3 EndFraction)

Answers

Answer:

- 8/3

Step-by-step explanation:

eh

The fractions that have the same value as 16 ÷ (–3) is StartFraction 16 over negative 3 EndFraction. Option A is correct.

As we all know that a fraction comprises of majorly the upper part which is the numerator, separated by a division line, and the lower part which is the denominator.

The given expression 16 ÷ (–3) can be represented in fraction as;

[tex]\mathbf{\dfrac{16}{-3}}[/tex]

From the given options:

A. StartFraction 16 over negative 3 EndFraction

[tex]\mathbf{\dfrac{16}{-3}}[/tex]

B. StartFraction negative 16 over negative 3 EndFraction

[tex]\mathbf{=\dfrac{-16}{-3} }[/tex]

[tex]\mathbf{=\dfrac{16}{3} }[/tex]

C. StartFraction negative 16 over 3 EndFraction

[tex]\mathbf{\dfrac{-16}{3}}[/tex]

D.  StartFraction 16 over 3 EndFraction

[tex]\mathbf{\dfrac{16}{3}}[/tex]

E.  Negative (StartFraction 16 over 3 EndFraction)

[tex]\mathbf{-\Big(\dfrac{16}{3}\Big)}[/tex]

[tex]\mathbf{\dfrac{-16}{-3}}[/tex]

F. Negative (StartFraction 16 over negative 3 EndFraction)

[tex]\mathbf{-\Big(\dfrac{16}{-3}\Big)}[/tex]

[tex]\mathbf{\dfrac{-16}{3}}[/tex]

Therefore, from the above explanation, we can see that only option A is correct.

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Write an expression equivalent to -4(-6m - 7).

Answers

Answer: 24m+28

Step-by-step explanation:

Distribute the negative four among the two terms.

Answer:

[tex](12*2)m+(-56/-2)[/tex]

I hope this helped :)

–8 ÷ 2 =
answer now and free r

Answers

Answer:

-4

Step-by-step explanation:

What is an equation of the line that passes through the points (3,3) and (-2,6)
F.y=-3/5x + 24/5
G.y=-3/5x - 24/5
H.y=3/5x + 24/5
J.y=3/5x - 24/5

Answers

Answer:

F

Step-by-step explanation:

x - x1/ x2-x1= y - y1/ y2 -y1

x - 3 / -2 -3= y -3/6-3

x-3/-5=y-3/3

3(x-3)= -5(y-3)

3x-9= -5y +15

5y = -3x +24

y= -3x/5 +24/5

10. Points D, E, and F are non-collinear. How many lines can be drawn that pass through F and are perpendicular
to DE ? Use a diagram to illustrate your answer.

Answers

Given:

Points D, E, and F are non-collinear.

To find:

Number of lines that pass through F and are perpendicular  to DE.

Solution:

Points D, E, and F are non-collinear. It means points D, E and F are not lie on a  single straight line.

We know that, the number of perpendicular lines on a line from a particular point is 1.

So, number of lines that pass through F and are perpendicular  to DE is 1 as shown in the below figure.

Geri believed the answer to one of her homework problems was 2 cubed. After checking her work, she realized the correct answer was 2 Superscript 9. How do these two answers compare?
A.The correct answer is 3 times Geri’s original answer.
B.The correct answer is 6 times Geri’s original answer.

C.The correct answer is 9 times Geri’s original answer.

D.The correct answer is 64 times Geri’s original answer.

Answers

Answer:

D

Step-by-step explanation:

PLease help me(: !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

should be 65

Step-by-step explanation:

if not then hmu

I can’t.....help. I’m gay, I don’t understand math.

Answers

Answer:

i cant help i do not know answer

Answer:i-

Step-by-step explanation: good luck

Write as a single exponent.
1. ( 1/10 x 1/10 x 1/10 x 1/10 )^2
2. ( 1/10 x 1/10 x 1/10 )^3
3. ( 10 x 10 x 10 )^-2

Answers

Step-by-step explanation:

1. (1/10 × 1/10 × 1/10 × 1/10)^2

(10^-4)^2

10^-8

2. (1/10 × 1/10 × 1/10)^3

(10^-3)^3

10^-6

3. (10 × 10 × 10)^-2

(10^3)^-2

10^-6

Question

Write as a single exponent.

1. ( 1/10 x 1/10 x 1/10 x 1/10 )^2

2. ( 1/10 x 1/10 x 1/10 )^3

3. ( 10 x 10 x 10 )^-2

7/8 square foot in 1/4 hour

Answers

Answer:

2 1/2

Step-by-step explanation:

The unit rate for the given parameters is 3 1/2 square feet /hour.

Given that, 7/8 square feet in 1/4 hour.

We need to find the unit rate.

How to find unit rate?

In a unit rate, the denominator is always 1. So, to find the unit rate, divide the denominator with the numerator in a way that the denominator becomes 1.

Now, unit rate = 7/8 ÷ 1/4

=7/8 × 4 =7/2

=3 1/2 square feet /hour

Therefore, the unit rate for the given parameters is 3 1/2 square feet /hour.

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Which inequalities are true? Check all that apply.

Answers

Answer:

1,2,3, and 5

Step-by-step explanation:

I plugged them all into a calculator

The ratio of pink rose to yellow roses in a flower arrangement is 5:3. If there are 15 yellow roses, then how many total flowers are in the arrangement?

Answers

Answer:

bat ang pogi ko hahahaha

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