Which of the following equations represents a quadratic function?

Which Of The Following Equations Represents A Quadratic Function?

Answers

Answer 1
It's B. Have a great day
Answer 2

Answer:

The correct options should be B and C.

Step-by-step explanation:

Quadratic equation is an equation in which the highest degree of the variable is 2. No fractional power of variable is acceptable in the equation. So, the power of variable can be 0, 1, and 2 only.

The given equations are,

[tex]y=-x^2+5\sqrt{x}-16\\y=2x^2-12x+9\\x=2y^2-9y+4\\5x-3y=-6[/tex]

From the above equations, equation 1, 2, and 3 has degree 2. But in equation 1, the power of variable x is 0.5 which is a fraction.

So, equation 2 and 3 only are the quadratic equations.

Therefore, the correct options should be B and C.

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Related Questions

Which statement is true about PQ in relation to the circumscribed circle ?

Answers

check the picture below.

Answer:

The answer is PQ is the diameter


Step-by-step explanation:


What is √9/14 in simplest radical form? Enter your answer in the box.

Answers

Answer: (3√14)/14


Step-by-step explanation: you should go buy a scientific calculator Casio or a TI calculator not much about $10 i will help a lot


Dmitri brought 28 ounces of trail mix for $3.92. What is the unit rate?

Answers

Answer:

The unit rate is 0.14 cents per ounce.

Step-by-step explanation:

Divide 3.92 by 28 to find out how much the trail mix is per ounce.

The unit rate of Dmitri's trail mix purchase is $0.14 per ounce, calculated by dividing the total cost by the total weight.

To find the unit rate of Dmitri's trail mix purchase, we divide the total cost of the trail mix by the total weight of the trail mix. Dmitri bought 28 ounces of trail mix for $3.92, so we perform the following calculation:

Unit Rate = Total Cost / Total Weight

Unit Rate = $3.92 / 28 ounces

Unit Rate = $0.14 per ounce

Therefore, the unit rate is $0.14 per ounce. This means that for every ounce of trail mix, Dmitri paid $0.14.

I think the answer is is either B or C
Confused

Answers

Answer:C


Step-by-step explanation:If she studies for 10 munites and t equals munite t would go next tp 10 then d would go under it.


8.1 + -3.5 = what?
Please help this is due soon! Thank youu

Answers

Answer:

4.6

Step-by-step explanation:

8.1 + (-3.5) = 8.1 - 3.5

4.6

Used paperback books are $0.25 and hardback books are $0.50. If you buy 3 paperback book and 5 hardback books, how much money do you spend

Answers

Answer:3.25$


Step-by-step explanation:

If one paperback book is 0.25 and you buy 3 of them, (0.25 x 3) is 0.75 and a hardcover is 0.50 per book, (0.50 x 5) is 2 dollars and 50 cents and if you add the two, you will get 3.25$

The amount of money to spend to buy 3 paperback books and 5 hardback books is,

⇒ $3.25

Given that,

The cost of Used paperback books is $0.25.

And, cost of hardback books is $0.50

Here, the cost to buy 3 paperback books is,

⇒ [tex]3 \times 0.25[/tex]

⇒ $0.75

And, the cost of 5 hardback books is,

⇒ [tex]5 \times 0.50[/tex]

⇒ $2.50

So, the total cost of 3 paperback books and 5 hardback books is,

⇒ $0.75 + $2.50

⇒ $3.25

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simplify this expression

17-a-2a-6+5a

please solve

Answers

Answer:

Answer:  2 a + 11

Step-by-step explanation:

Simplify the following:

5 a - a - 2 a - 6 + 17

Grouping like terms, 5 a - a - 2 a - 6 + 17 = (-a - 2 a + 5 a) + (17 - 6):

(-a - 2 a + 5 a) + (17 - 6)

-a - 2 a + 5 a = 2 a:

2 a + (17 - 6)

17 - 6 = 11:

Answer:  2 a + 11

Final answer:

The expression 17-a-2a-6+5a simplifies to 2a+11. This involves combining similar terms and simplifying the arithmetic.

Explanation:

In order to simplify the expression 17-a-2a-6+5a, we first need to gather like terms. In this expression, the like terms are -a, -2a, and +5a. When you add these together, you get 2a. Now, substitute this back into the expression. You now have 17+2a-6. If you simplify further by adding the plain numbers together, you get 2a+11. Therefore, the simplified expression is 2a+11.

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Ryan bought a guitar for $475.45. If he makes $9.25 per hour at his job, how many hours did he have to work to pay for the guitar? Explain how to find the answer and check it.

Answers

Answer: 51.4 hours


Step-by-step explanation: To figure out the answer to this equation you would divide the cost by how much you make, 475.45÷9.25=51.4


Ryan would need to work approximately 51.51 hours to earn enough money to pay for the guitar.

To find the number of hours Ryan had to work to pay for the guitar, we need to divide the cost of the guitar by his hourly wage.

Divide $475.45 (cost of the guitar) by $9.25 (Ryan's hourly wage):

$475.45 / $9.25

≈ 51.51

This calculation shows that Ryan would need to work approximately 51.51 hours to earn enough money to pay for the guitar.

To check the answer, multiply the number of hours (51.51) by Ryan's hourly wage ($9.25):

51.51 x $9.25 ≈ $476.33

The result is close to the cost of the guitar ($475.45), allowing for small discrepancies due to rounding or decimal approximations. Therefore, this confirms that Ryan would indeed need to work around 51.51 hours to cover the cost of the guitar.

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Help with trig homework

Answers

Answer:

225 m

Step-by-step explanation:

Since we know they are similar triangles

8                15

---------- = -----------  

120              bridge


Using cross products

8 * bridge = 15* 120

8* bridge = 1800

Divide each side by 8

8/8* bridge = 1800/8

bridge = 225

Answer:

225m

Step-by-step explanation:

the 2 triangles shown are similar by AAA

so their sides are in the same ratio

bridge/15 = 120/8

bridge length = 15*15 = 225m

please help 5 pts

The Questions

An item sells for $40. the sales tax on the item is 8%. What is the sales tax and total cost?

Answers

So the tax would be 40 * 0.08 = 3.2, so $40 + $3.20 gives a total cost of $43.20, or just $3.20 in sales tax only.
The sales tax would be $3.20 and the total cost would be $43.20
Explanation: First you need to find what 8% of 40 would be. In order to do this you need to convert the 8% into a decimal. You do this by multiplying the percent with the whole. In this case, the whole is 40 so if you multiply them you get 3.20 (or 3.2 it's the same thing). That would be the sales tax. To get the total cost you simply add the sales tax with the item.

Lyle bought 3/8 of red grapes and 5/12 pound of green grapes how many pounds of grapes did he buy

Answers

Answer: 19/24


Step-by-step explanation:


3/8

+

5/12

=

(3 × 12) + (5 × 8)

8 × 12

=

76/96

=

76 ÷ 4

96 ÷ 4

=

19/24


Find the total cost to the nearest cent. $25 pants; 20% off

Answers

Answer:

$20.00

Step-by-step explanation:

"$25 pants, 20% off" is equivalent to (1.00 - 0.20)($25), or:

0.80($25) = $20.00

This is the total cost to the nearest cent.

Answer:

$20

Step-by-step explanation:

Lets find the discount

25 * .2 = 5

You get $5 off

Price - discount = price you pay

25-5 = 20


what is an interger?

Answers

an interger is a whole number that can be positive or negative

An integer is any whole number and it can be positive or negative. Integers cannot be fractions!

A few examples of integers are...

21, 4, -6666

What value for the constant,h, in the equation shown below will result in an onfinite number of solutions? Equation: 6x+18=h(3x+9) Answer choices: a. -2 b.-3 c.2 d.3

Answers

Answer:

c.2

Step-by-step explanation:

6x+18=h(3x+9)

To have an infinite number of solutions, the left and right side must be equal

Distribute the h

6x+18 = 3xh +9h

6x = 3xh

Divide by x

6x/x = 3xh/x

6 = 3h

Divide by 3

6/3 =3h/3

2 =h

Lets verify

18 = 9h

Divide by 9

18/9 = 9h/9

2 =h

h must be 2

identify the property that the statement illustrates

Answers

Answer:

6 units away from 0.

Step-by-step explanation:

when move to 6 you count the units.

PLEASE HELP WILL GIVE BRAINLIEST the number of students at north middle school is 1240 and is decreasing by 25 students per year. The number of students at south middle school is 800 and it is decreasing by 30 students per year. in how many years will the two schools have the same number of students?

Answers

Answer:

-88

Step-by-step explanation:

Let N(x) be the number of students at NMS for a certain number of years.

Let S(x) be the number of students at SMS for a certain number of years.

Let x be the number of years.

N(x)=1240-25x

S(x)=800-30x

When # of students is equal, N(x)=S(x). Therefore, we are looking for the value of x (# of years) when 1240-25x=800-30x

Subtract 1240 from each side

-25x=-440-30x

Add 30x

5x=-400

x=-88 years

Check your numbers.

Boots: $59.00, discount: 10 percent sales tax 5.5 percent

Answers

Answer:

Total cost of boots = $56.02

Step-by-step explanation:

$59 x 0.90 = $53.10

$53.10 x 1.055 = $56.02

or

59 x 0.10 = 5.9

59 - 5.9 = $53.10

53.10 x 0.055 = $2.92 tax

$53.10 + $2.92 = $56.02

Margo has a coin collection. She was given 1 coin as a gift, and she adds 3 coins per year. Which of the graphs below represents Margo's coin collection?

A) graph of line going through 1, 2 and 3, 4
B) graph of line going through 1, 1 and 3, 3
C) graph of line going through 1, 4 and 3, 10
D) graph of line going through 1, 2 and 2, 5

Answers

Answer:

Option C) graph of line going through 1, 4 and 3, 10

Step-by-step explanation:

Let y equal to Margo's coin collection

Let x equal to number of years

At the begining x=0, y=1 → Point=(x,y)→Point=(0,1)

She adds 3 coins per year, then y=1+3x

At x=1, y=1+3(1)=1+3→y=4→Point=(x,y)→Point=(1,4)

At x=3, y=1+3(3)=1+9→y=10→Point=(x,y)→Point=(3,10)

The graph of line going through (1, 4) and (3, 10), then the option C is the correct.

All the members of a construction crew work at the same pace. Six of them working together are able to pour foundation in 22 hours. c How many hours would this job take if the number of workers increased by factor of 4?All the members of a construction crew work at the same pace. Six of them working together are able to pour foundation in 22 hours. c How many hours would this job take if the number of workers increased by factor of 4?All the members of a construction crew work at the same pace. Six of them working together are able to pour foundation in 22 hours. c How many hours would this job take if the number of workers increased by factor of 4?All the members of a construction crew work at the same pace. Six of them working together are able to pour foundation in 22 hours. c How many hours would this job take if the number of workers increased by factor of 4?All the members of a construction crew work at the same pace. Six of them working together are able to pour foundation in 22 hours. c How many hours would this job take if the number of workers increased by factor of 4?All the members of a construction crew work at the same pace. Six of them working together are able to pour foundation in 22 hours. c How many hours would this job take if the number of workers increased by factor of 4?

Answers

Answer:

5.5 h  

Step-by-step explanation:

There is an inverse relationship between the time (t) it takes to do a job and the number (n) of workers (the more workers. the faster the work gets done).

t = k/n             Divide both sides by n

t/n = k

If we have two different numbers of workers, then

t₁/n₁ = t₂/n₂     Multiply each side by n₂

t₂ = t₁ × n₁/n₂

t₂ = 22 × 1/4

t₂ = 5.5 h

plz somebody I need these and I'm failing math cause of these problems.

Answers

Answer:

1.A =113.04  cm^2

2.A =616  in^2

Step-by-step explanation:

To find the area of a circle we use the formula

A = pi * r^2  if we know the radius or

A = pi * (d^2/4) if we know the diameter


In problem 1 we know the radius

A = pi * r^2

A = pi * (6)^2

A = 36*pi

Using 3.14 for pi

A = 36* 3.14

A =113.04  cm^2


In problem 2 we know the diameter

A = pi * d^2/4

A = pi * (28)^2/4

A = pi 784/4

A = 196

Using 22/7 for pi

A = 196*22/7

A =616  in^2

Answer:

1. Area of the circle with 6 cm radius is [tex] 113.14 cm^2[/tex].

2. Area of the circle with 28 cm diameter is [tex] 616 cm^2[/tex].

Step-by-step explanation:

1. Radius of the circle ,r=  6 cm

Area of the circle , A= [tex]\pi r^2[/tex]

[tex]A=\pi (6 cm)^2=\frac{22}{7}\times 6 cm\times 6 cm=113.14 cm^2[/tex]

Area of the circle with 6 cm radius is [tex] 113.04 cm^2[/tex].

2. Diameter of the circle = d = 28 cm

Radius of the circle , r = [tex]\frac{28 cm}{2=14 cm[/tex]

Area of the circle , A= [tex]\pi r^2[/tex]

[tex]A=\pi (14 cm)^2=\frac{22}{7}\times 14 cm\times 14 cm=616cm^2[/tex]

Area of the circle with 28 cm diameter is [tex] 616cm^2[/tex].

Either table C or Table D shows a proportional relationship. Plot all the points from the table that shows a proportional relationship. I'll post a picture of the graph. Table C is ( X= 2,4,6,8) and Y= ( 1,3,5,7). Table D is ( X= 2,6,8,10) and Y= ( 1,3,4,5).

Answers

Answer:


Step-by-step explanation:

A proportional relationship is a straight line through the origin that grows at a constant rate

For table C

The constant of proportionality is y/x

2/1 = 4/3 = 6/5 = 8/7   This is not true so this is not proportional


For table D

The constant of proportionality is y/x

1/2 = 3/6 = 4/8 = 5/10   This is  true so this is  proportional

identify an equation in point-slope form for the line parallel to y=5x+2 that passes through (-6,-1)

Answers

Answer:

y = 5x + 29

Step-by-step explanation:

y=5x+2

Given equation is in the form of y=mx+b

Where m is the slope = 5

and b is the y intercept = 2

When the lines are parallel then their slopes are equal

So the slope of parallel line is also 5 (m=5)

Given that the line passes through (-6,-1)

We use point slope formula

y-y1= m (x-x1)

m=5, x1= -6, y1=-1

Plug in all the values

y - (-1) = 5(x-(-6))

y + 1= 5 (x+6)

y + 1= 5x + 30

Subtract 1 on both sides

y = 5x + 29


A reta que passa pelos pontos (2,-1) e (6,4) intersecta o eixo das abcissas no ponto (x,0) onde x é igual a:
a) -2,8
b) 2,8
c) 0,15
d) 1,8
e) 1,6

Answers

Answer:

[tex]x=2.8[/tex]

Step-by-step explanation:

we are given that

line passes through (2,-1) and (6,4)

Firstly, we will find equation of line

First point is (2,-1)

x1=2, y1=-1

second point is (6,4)

x2=6 , y2=4

now, we can find slope

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

now, we can plug values

[tex]m=\frac{4+1}{6-2}[/tex]

[tex]m=\frac{5}{4}[/tex]

now, we can use point slope form of line

[tex]y-y_1=m(x-x_1)[/tex]

now, we can plug values

[tex]y+1=\frac{5}{4}(x-2)[/tex]

since, we have to solve for x from (x,0)

so, we can set y=0

and then we can solve for x

[tex]0+1=\frac{5}{4}(x-2)[/tex]

[tex]5\left(x-2\right)=4[/tex]

[tex]x-2=\frac{4}{5}[/tex]

[tex]x=\frac{14}{5}[/tex]

[tex]x=2.8[/tex]


The height of a rectangular prism is found by dividing volume, V, by the base area, B. If the volume of the rectangular prism is represented by 6x2 – 2x + 8 and the base area is 2x – 4, which expression represents the height? 3x + 5 – 3x – 7 + 3x + 5 + 3x – 7 –

Answers

Answer:

[tex](3x+5)+\frac{28}{2x-4}[/tex]

Step-by-step explanation:

Since,

The volume of a rectangular prism = Base area × Height,

Given,

Volume of the rectangular prism = [tex]6x^2-2x+8[/tex]

Base area = 2x - 4

Let h be the height,

[tex]\implies 6x^2-2x+8=(2x-4)h[/tex]

[tex]\implies h = \frac{6x^2-2x+8}{2x-4}[/tex]

By long division ( shown below ),

[tex]h=(3x+5)+\frac{28}{2x-4}[/tex]

Which is the required expression that represents the height.

Answer:

[tex](3x+5) + \frac{14}{x-2}[/tex]

Step-by-step explanation:

We are given the following information in the question:

Volume of rectangular prism =

[tex]6x^2 - 2x + 8[/tex]

Area of base of prism =

[tex]2x -4[/tex]

Formula:

[tex]\text{Volume of Prism} = \text{Area of base}\times \text{Height of prism}\\\\\text{Height of prism} = \displaystyle\frac{\text{Volume of Prism} }{\text{Area of base}}[/tex]

Putting the values we, get,

[tex]\text{Height of prism} = \displaystyle\frac{6x^2 - 2x +8}{2x-4} = \frac{2(3x^2-x+4)}{2(x-2)}= (3x+5) + \frac{14}{x-2}[/tex]

Hence, the height of the prism is given by the expression [tex](3x+5) + \frac{14}{x-2}[/tex]

The formula for the circumference of a circle is C = 2r. What is one-fourth of the circumference of a circle that measures 12 centimeters around? If necessary, use 3.14 for .

Answers

The formula of a circumference is:

[tex]C=2\pi r[/tex]

r - radius

or

[tex]C=d\pi[/tex]

d - diameter

We have d = 12cm. Substitute:

[tex]C=12\pi\ cm[/tex]

One-fourth of the circumference:

[tex]\dfrac{1}{4}C=\dfrac{1}{4}\cdot12\pi=3\pi\ cm\approx3\cdot3.14=9.42\ cm[/tex]

Answer:  9.42 cm.

Solve for x in the equation?

a/(2x-c) = -1

Answers

Answer:

[tex]\frac{c-a}{2}[/tex]

Step-by-step explanation:

given [tex]\frac{a}{2x-c}[/tex] = - 1 ( cross- multiply )

- (2x - c ) = a ( distribute left side )

- 2x + c = a ( subtract c from both sides )

- 2x = a - c ( multiply both sides by - 1 )

2x = c - a ( divide both sides by 2 )

x = [tex]\frac{c-a}{2}[/tex]

Answer:

x = [tex]\frac{(a - c)}{-2}[/tex]

Step-by-step explanation:

a/(2x-c) = -1

The first step is to multiply both sides by (2x - c)

(2x - c)a/(2x-c) = -1(2x - c)

a = -2x + c

a - c = -2x + c - c

a - c = -2x

Divide both side by -2

(a - c)/-2 = x

x = [tex]\frac{(a - c)}{-2}[/tex]

Solve equation for z

Answers

Answer:

z = 7

Step-by-step explanation:

9z + 4 / 5 - 8 = 5.4


Add 8 to both sides.


9z + 4 / 5 = 13.4

Multiply 5 by both sides.


9z + 4 = 67


Subtract 4 from both sides.


9z = 63


Divide both sides by 9.


z = 7

Answer:

7 (rounded up)

Step-by-step explanation:

9z+4/5=13.5

Multiply both sides by 5

9z+4=67.5

Subtract both sides by 4

9z=63.5

Divide both sides by 9

z=7 (rounded up)

Katherine is considering two new cell phone plans she doesn’t want to spend more for minutes she won’t use one plan allows up to 250 minutes per month for $49 and the other plan allows up to 350 minutes per month for $65 in the last six months she used 1470 minutes use estimating an exact answer to you to determine the best cell phone plan for Katherine

Answers

Answer: The plan with 250 minutes is best because she Maximus uses only 245 minutes per month so just 5 min to spare. Also i used mental math


Step-by-step explanation:

1470 divided by 6 equals= 245 minutes exactly unless Katherine had rounded her answer



Final answer:

To determine the best cell phone plan for Katherine, compare the cost per minute for each plan. The second plan, which allows up to 350 minutes per month for $65, has a lower cost per minute.

Explanation:

To determine the best cell phone plan for Katherine, we need to compare the cost per minute for each plan.

For the first plan, Katherine gets 250 minutes for $49, which means the cost per minute is $49/250 = $0.196 per minute.

For the second plan, Katherine gets 350 minutes for $65, which means the cost per minute is $65/350 = $0.1857 per minute.

Since the cost per minute is lower for the second plan, Katherine should choose the plan that allows up to 350 minutes per month for $65.

HELP!!
a student finished 45 of her homework problems in class. if the ratio of problems she finished to problems she had left was 9:4, how many homework problems did she have total?

Answers

Answer:

60

Step-by-step explanation:

45 divided by 9 is 5. So you multiply 4 times 5. Which equals 20. So 20 plus 45 is 65. Hope you understand it.

Select all that apply question! See picture

Answers

I think for me is that 1 and 2 answer yeah
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