Explain why the condition a=/ 0 must be stated to ensure that y = ax2 + bx + c is a quadratic relation.

Answers

Answer 1

Answer:

   a = 0 makes the equation a linear equation, not quadratic

Step-by-step explanation:

A polynomial expression is quadratic if and only if its highest degree is 2. If the coefficient of the squared term is zero, then the polynomial does not contain a term of degree 2, so is not a quadratic. The coefficient of the squared term must be non-zero.


Related Questions

Encuentra el volumen de un cubo de 3:5 cm de arista

Answers

Answer:

Step-by-step explanation:

Dado que la longitud, la profundidad y la altura de un cubo son iguales, podemos acortar el proceso elevando al cubo cualquiera de estas medidas. Sigamos con el ejemplo. Dado que la longitud de cualquier arista de este cubo es de 5 cm (2 pulgadas), podemos hallar el volumen multiplicando 5 x 5 x 5 (o 53) = 125.

Marcos mixes 504 ounces of lemonade. he wants to fill the 14 cups he has with equal amounts of lemonade how much lemonade should he put in each cup/

Answers

Answer:

36

Step-by-step explanation:

Take 504 ounces of that lemonade and divide that into 14 cups.

And you get 36 ounces for each cup.

Answer:

36

Step-by-step explanation:

504 divided by 14 = 36

Question 10 of 10
Which best describes the range of a function?
A. The greatest possible input value
B. The greatest possible output value
C. The set of all possible input values
D. The set of all possible output values

Answers

Step-by-step explanation:

D.the set of all possible output values.

The answer D.The set of all possible output values

find the value of x will mark brainliest and all tht jazz

Answers

Answer:

x = 20

Step-by-step explanation:

these are alternate interior angles, which means they're equal.

you can use that information to make this equation:

x + 40 = 3x

subtract x from both sides

40 = 2x

divide both sides by 2

20 = x

brainliest for correct answer

Answers

the answer to this problem is 63

Answer:

A

Step-by-step explanation:

47+58=105 then you just subtract 7 from 75 and you get 68 than you divide 68 by 2

There are 40 cows and 15 chicken. Compare the number of cows to the number of chicken. Write you answer three ways. Your answer​

Answers

Answer:

they're are more cows than chickens, they're less chickens than cows, the number of cows is 25 more than the number of chickens

Step-by-step explanation:

hope this helped love!

Please help me with this

Answers

Answer:

Just search from other websites

Step-by-step explanation:

easy


Factor the expression 4x + 32. Explain each step you
take in the process.

Answers

Answer:

4(x+8)

Step-by-step explanation:

4(x+8)=  4 X x + 4 X 8

= 4x + 32

Answer: 4(x+8)

because 4 is the greatest common factor of 4 and 32. you distribute the 4 into the parenthesis and get 4x+32

Step-by-step explanation:


Use the distributive property to simplify the
expression.
8(3 + 4) = 24+ ?

Answers

Answer:

32

Step-by-step explanation:

8(3 + 4) ← multiply each term in the parenthesis by 8

= 8(3) + 8(4)

= 24 + 32

The probability of a dart landing in the shaded area is approximately

Answers

Answer:

79%

Step-by-step explanation:

Area of rectangular region = 3*6 = 18 sq inches

Diameter of circle = 3 in

-> radius (r) = 3/2 = 1.5 inches

[tex]Area \: of\:both \: circular \: regions \\ =2( \pi {r}^{2} ) \\ =2( 3.14 \times {1.5}^{2} ) \\ = 14.13 \: {in}^{2} \\ \\ P(dart \: landing \: in \: the \: shaded \: area) \\ = \frac{Area \: of \: both \: circular \: regions}{Area \: of \: rectangular \: region} \\ = \frac{14.13}{18} \\ = 0.785 \\ \approx \: 0.79\\=79\%[/tex]

What does 2(3) mean?​

Answers

2+2+2 or 2x3! Hope this helps!
It just means to multiply the number to the other number.. aka multiplication

Suzy has 3 apples and 2 cherries how much fruit does she have?​

Answers

Answer:

5

Step-by-step explanation:

3+2=5

Question:.

[tex]Suzy \: has \: 3 \: apples \: and \: 2 \: cherries \: how\: much \: fruit \: does \: she \: have?[/tex]

Given:

3 apples2 cherries

Answer:

Total fruits=apples+cherries

=2+3

=5✓

You are adding orange juice to a 10-liter capacity jar. The equation 3x – 2y = -5 relates the amount of juice y, in liters, with the number of minutes, x, you add juice. How much juice was in the jar to start?
At what rate is the jar filled?

Answers

Answer: 5/2 liters (or 2.5 liters) of juice were in the jar to start.

The jar was filled at a rate of 5 minutes.

Step-by-step explanation: Firstly, rearrange the equation so that y = mx + b. If you move the x over, you get -2y = -3x -5. To get rid of the -2 in front of the y, divide both sides by -2. Then you get y = 3/2x + 5/2.

The amount of juice in the jar initially is b, also known as the y-intercept.

If you look at the equation, you see that 5/2 is our y-intercept which means the jar initially had 5/2 liters of juice at the start (this is the same as 2.5 liters because 5 divided by 2 is 2.5).

To find the rate at which the jar was filled, you need to solve for x. Plug in the 10 liters for the y and solve.

y = 3/2x + 5/2

10 = 3/2x + 5/2

Now, subtract 5/2 from both sides.

7.5 = 3/2x

Divided both sides by 3/2 to get x alone, which will give you the number of minutes in which the jar was filled.

5 = x

The jar was filled at a rate of 5 minutes.

Rats have recently become a nuisance in Norwood. Efforts to control the rat problem have led to the rat population declining by 15% every year. If the town currently has 13,000 rats, how many rats will there be in 3 years?

Answers

The exponential function is given by y = 13000(0.85)ˣ, the amount of rats in 3 years is 7984

What is an exponential function?

An exponential function is in the form:

y = abˣ

Where y,x are variables, a is the initial value of y and b is the multiplication factor.

Let y represent the population of the chicken after x year.

The initial population of 13000 rats, hence a = 13000

The rat population declining by 15% every year. b = 1 - 0.15 = 0.85

The exponential function is given by y = 13000(0.85)ˣ

In 3 years; y = 13000(0.85)³ = 7984

The exponential function is given by y = 13000(0.85)ˣ, the amount of rats in 3 years is 7984

Find out more on exponential function at: https://brainly.com/question/12940982

A music producer is making a list of vocalists needed to record an album. For each day of recording, a different number of vocalists are needed. The first day, six vocalists are needed. Each day after that, the number of vocalists needed doubles. The producer must pay by the day for each vocalist. To find the total price, the producer needs to know how many vocalists sang in total at the end of the 10th day. Use a series to find the sum after the 10th day. 114 150 3,066 6,138

Answers

Answer:

6,138

Step-by-step explanation:

Given the following:

Vocalist needed :

First day (a) = 6

For subsequent days : number doubles

Using the relation. :

Sn = a(r^n -1)/(r -1)

Where a = first term = 6

r = common ratio = r3/r2 = r4/r3

Since number doubles after each consecutive day, then ; r = 2, n = 10

Sn = 6(2^10 -1)/(2 -1)

Sn = 6(1024 - 1) / 1

Sn = 6144 - 6

Sn = 6138

The temperature at noon on a cold winter day was −14 3/4 °F. By evening, the temperature had dropped to −18 1/4 °F. By how much did the temperature change?

Answers

Answer:

temperature decreased by -3.5 degrees

Step-by-step explanation:

-14 3/4 = -14.75

-18 1/4 = -18.25

-14.75 + X = -18.25

X = -3.5 or -3 2/4

Item 21
Question 1
Write and solve an inequality that represents the value of x.

Area <30 cm2

Answers

Answer:

1st: 5x

2nd: 6ft

Step-by-step explanation:

I really don't know how just got the answer right.

Matty and his friends ate 4/5 of the 10 pieces of jolly ranchers that they had. Which is a reasonable answer for 4/5 x 10

4/5

8

10

Answers

Answer:

the answer is 8

Step-by-step explanation:

first i did 4/5x2=8/5=8/10

Answer:

8.

Step-by-step explanation:

,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

pls answer the question attached.
I WILL MARK U BRAINLIST

Answers

Answer:

area = 84 cm²

Step-by-step explanation:

the quadrilateral is made up of 2 triangles ABD and BDC

area of Δ ABD = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

A = [tex]\frac{1}{2}[/tex] × BD × AE = [tex]\frac{1}{2}[/tex] × 14 × 7 = 7 × 7 = 49 cm²

area of Δ BDC = [tex]\frac{1}{2}[/tex] × BD × CF = [tex]\frac{1}{2}[/tex] × 14 × 5 = 7 × 5 = 35 cm²

area of ABCD = 49 + 35 = 84 cm²

[tex]\sqrt{9-4\sqrt{5} }\:+\sqrt{5}

The answer is 2. Solve if you can. It is 100% correct.

Answers

[tex]\\ \rm\Rrightarrow \sqrt{9-4\sqrt{5}}+\sqrt{5}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{9-8.8}+2.2[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{0.2}+2.2[/tex]

[tex]\\ \rm\Rrightarrow 0.3+2.2[/tex]

[tex]\\ \rm\Rrightarrow 2.5[/tex]

[tex]\\ \rm\Rrightarrow 2(approx)[/tex]

Answer:

Algebraic "proof" that the solution is 2:

[tex]\sqrt{9-4\sqrt{5} }\:+\sqrt{5}[/tex]

[tex]=\sqrt{4-4\sqrt{5}+5 }\:+\sqrt{5}[/tex]

[tex]=\sqrt{2^2-4\sqrt{5}+(\sqrt{5})^2 }\:+\sqrt{5}[/tex]

[tex]=\sqrt{(2-\sqrt{5})^2 }\:+\sqrt{5}[/tex]

[tex]=(2-\sqrt{5})+\sqrt{5}[/tex]

[tex]=2[/tex]

However, this is not the correct mathematical solution to the problem.

The order of operations for [tex]\sqrt{(2-\sqrt{5})^2 }[/tex] dictate that the operation inside the parentheses must be carried out first.  

As [tex]2-\sqrt{5} < 0[/tex], then [tex](2-\sqrt{5})^2[/tex] will always be positive.

If  [tex](2-\sqrt{5})^2[/tex] is always positive, then [tex]\sqrt{(2-\sqrt{5})^2 }[/tex] will always be positive.

As √5 > 2 and [tex]\sqrt{(2-\sqrt{5})^2 } > 0[/tex] then [tex]\sqrt{(2-\sqrt{5})^2 }\:+\sqrt{5} > 2[/tex]

So mathematically, the actual solution to the expression is 2.47 (nearest hundredth) not 2.

I need help with this question

Answers

Answer: (2)

Step-by-step explanation:

A group of friends decides to share a limo for prom. The rental cost is $750 plus a $25 fee for each occupant. There is a
minimum of two passengers, and the limo can hold up to 14 people. Write and solve an inequality to determine how many
people can share the limo for less than $120 per person.

Answers

Answer:

8 people

Step-by-step explanation:

120x=750+25x

120x-25x=750

95x=750

x=7.89

round up to 8 and check answer

(25×8)+750=950

950÷8 people =$118.75 per person

(4/25) to the power of negative 1/2

Answers

Answer:

5/2

Step-by-step explanation:

[tex] {( \frac{4}{25} )}^{ - \frac{1}{2} } [/tex]

Apply indices rule and Simplify

[tex] \frac{1}{ {( \frac{4}{25} )}^{ \frac{1}{2} } } = \frac{1}{ \sqrt{ \frac{4}{25} } } = \frac{1}{ \frac{2}{5} } \\ = \frac{1}{1} \div \frac{2}{5} [/tex]

[tex] = \frac{1 \times 5}{1 \times 2} \\ = \frac{5}{2} \\ = 2 \frac{1}{2} [/tex]


Andrea has placed a stamp on 1 of the 4 envelopes shown below.
What fraction of the set of 4 envelopes did Andrea place the stamp?

Answers

Answer:

1/4

Step-by-step explanation:

The one of of four makes the fraction 1/4. Reason: MATH

PS:

PLS MARK ME AS BRAINLEST

Please solve the question. Unit 10: circles homework 2: Central angles, arc measures, and arc length. ​

Answers

The central angle (127 degrees) is the angle at point K

The measures of JL and JML are 127 and 233 degrees, respectively

How to determine the measures of angles JL and JML?

From the complete question, we have:

JL = 127 degrees.

The sum of angles at a point is 360 degrees

So, we have:

JML + 127 = 360

Subtract 127 from both sides

JML = 233

Hence, the measures of JL and JML are 127 and 233 degrees, respectively

Read more about circles and arcs at:

brainly.com/question/25305793

help asap for brainlist!!!

Answers

Answer:

The system of equations has no solution.

Step-by-step explanation:

set them equal to eachother. 3x+9=3x-4

Subtract 3x from both sides, giving you 9=-4, which is an equation that is not true because 9 does not equal negative 4. Therefore, there is no solution to this system.

Solve for x in the equation X^2+2x+ 1 = 17
x=-1+ V15
x=-17 17
X=-2+25
x=-12 13

Answers

Answer:

it would be the last answer

Step-by-step explanation:

What is 2 to the x power

Answers

Answer:

2^x

Step-by-step explanation:

Since we are needing to show how this is written, x is a power so it will be written small and will go to the upper right corner of the 2 :)

When you see a number like this, we are multiplying 2 by intself x times :)

Hope this helps!

Havea great day!!

Please rate and mark brainliest!!

It’s 2^x which can be used in multiple ways.

the legend on the map states that 1 cm is 15 km. if you measure 11 cm on the map, how many kilometers would the actual distance be?

Answers

Answer:

165 km

Step-by-step explanation:

We know the ratio of map distance to actual distance is 1 cm : 15 km

Multiplying both sides by 11, we have 11 cm : 165 km

Solve x - 2. 6 Greater-than-or-equal-to 9. 4 and graph the solution on the number line. Which statements are true? Check all that apply. X Greater-than-or-equal-to 12 x Greater-than-or-equal-to 6. 8 A closed circle is used on the graph. An open circle is used on the graph. The arrow on the graph points left. The arrow on the graph points right.

Answers

Answer:

X Greater-than-or-equal-to 12 A closed circle is used on the graph. The arrow on the graph points right.

Step-by-step explanation:

This one-step inequality can be solved by adding the opposite of the constant that is added to x. A number line graph of the solution is attached.

  x -2.6 ≥ 9.4

  x ≥ 12.0 . . . . . . add 2.6 to both sides

The "greater than" relation means that numbers larger than 12 will be included in the solution set. Shading of the number line will be to the right of 12.

The "or equal to" relation means that 12 itself is included in the solution set. This is indicated by a closed circle at 12 on the graph.

The true statements are ...

X Greater-than-or-equal-to 12 A closed circle is used on the graph. The arrow on the graph points right.

Answer:

A C F are the answers for the question

Other Questions
Write a report analyzing the Cold War policy of containmentATLEAST 300 POINTS!!!!! Which graph shows the solutions of the system of equations 2x - y = 8 and x - y = 2?(Refer to both images for all answers) How does the conflict in the Animal Farm excerpt relateto the events in the historical passage?Snowball's quick escape under the hedge is similar tohow Stalin was expelled.Snowball's ideas about work relate to the Stalin'sefforts to gain total control.Napoleon removes Snowball for his own purposesjust as Stalin removed those in his own party.Snowball's dream for the animals on the farm is thesame as the dream of the Communist Party. A square is cut into identical rectangles. Find the perimeter of each rectangle if the perimeter of the square is 48 cm Click on the photo what is 0.75x 100 80 It took Allen 2 hours to plant 4 flats of flowers. How many hours would it take for him to plant 22 flats of flowers The law of conservation of matter tells us that the total number of atoms does not change in a chemical reaction and thus mass is conserved. Select ALL of the reactions that obey the law of conservation of matter. A) 4 NH3 + 5 O2 4 NO + 6 H2O B) 8 H2S + 8 Cl2 S8 + 16 HCl C) CH4 + 2 O2 CO2 + H2O D) HCl + K2CO3 KCl + H2O + CO2 E) 2 Al(OH)3 + 3 H2SO4 Al2(SO4)3 + 6 H2O What is 5 divided by (-3) but in the long division? Most Deaf people prefer to be referred to as "Hard of Hearing" rather than "Deaf."TrueFalse Serena needs fabric and ribbon for a sewing project the relationship between the number of yards of fabric x and the yards of fabric y needed is show in the graph A rental car company charges $68.64 per day to rent a car and $0.12 for every mile driven Jackson wants to rent a car knowing that he plans to drive 500 miles he has at most $210 to spend what is the maximum amount of number of days that Jackson can rent a car while staying with his budget Please help!! If the object's initial velocity is 0 m/s , what is the velocity of an object at t = 8.0s please tell me the snswer omggg dang it i need 20 words What is a difference between physical traits and personality traits? Please help!!! Question 6 I need help now!!! Can someone tell me if I am doing this correctly?1. (indefinite article/desk)2. (definite article/chairs)3. (definite article/door)4. (indefinite article/computer)5. (indefinite article/books)6. (definite article/clock)7. (indefinite article/keyboard)8. (definite article/paper)9. (indefinite article/poster)10. (definite article/tables)1. answer: Un escritorio esta al lado de la mesa.2. answer: Las sillas estan detras de los escritorios.3. answer: La Puerta esta en la parte de atras del salon de clases.4. answer: Una computadora esta encima de la mesa.5. answer: Un libros estan en el estante al lado de la pizarra.6. answer: El roloj esta en la parte de artas del salon de clases, al lado de la Puerta.7. answer: Un teclado esta frente a la pantella de la computadora.8. answer: Los papeles estan encima de la mesa.9. answer: Hay un cartel en la parte de atras del salon de clases al lado del calendario.10. answer: La mesa esta frente a los escritorios. What strengths and weaknesses have you noted about the Union's involvement in the Civil War?What strengths and weaknesses have you noted about the Union's involvement in the Civil War? Alex Mises, a band that consists of people who share a common love for jazz music, performs live shows every month. The band comes together and practices every weekend. In this scenario, Alex Mises is most likely a(n) _____.