which of the following are quadratic functions?

A. y= 5x-3/2+x^2

B. y= x^2+5x-2

C. y=-x+2

D. y= x-1/x

Answers

Answer 1

The quadratic equation are y= 5x-3/2+x^2, y= x^2+5x-2 and y= x-1/x.

What is quadratic equation?

it's a second-degree quadratic equation which is an algebraic equation in x. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the quadratic equation in its standard form. A non-zero term (a 0) for the coefficient of x2 is a prerequisite for an equation to be a quadratic equation. The x2 term is written first, then the x term, and finally the constant term is written when constructing a quadratic equation in standard form. In most cases, the numerical values of letters a, b, and c are expressed as integral values rather than fractions or decimals.

Here,

A. y= 5x-3/2+x^2

It has a degree is 2, So quadratic equation.

B. y= x^2+5x-2

It has a degree is 2, So quadratic equation.

C. y=-x+2

It has a degree is 1, So it's not quadratic equation.

Hence the value of k is 0.33.

D. y= x-1/x

y = x² -1/x

It has a degree is 1, So it's not quadratic equation.

Learn more about quadratic equation , by the following link.

brainly.com/question/1214333

#SPJ1

Related Questions

IM IN A HURRY PLEASE HELP ME QUESTION IS DOWN BELOW WORTH 15 POINTS each

Answers

The value of x is 2 and the length of JK is 4

How to solve the unknown variables?

The given parameters from the circle are:

Center = Point SSegment JK = 8Segment LK = 2x + 4Congruent SN = SP = 7

The lines SR and SQ are the radii of the circle P

This means that lines JK and JL are congruent

So, we have:

JK = KL

Substitute LK = 2x + 4 and JK = 4

4 = 2x + 4

Rewrite the above equation as:

2x + 4 = 8

Subtract 4 from both sides

2x + 4 - 4 = 8 - 4

Evaluate the difference

2x = 4

Divide both sides by 2

2x = 4/2

This gives

x = 2

Substitute x = 2 in LK = 2x + 4

LK = 2*2 + 4

Evaluate the product of 2 and 2

LK = 4 + 4

This gives

LK = 8

The point N divides JK into 2 equal segments

So, we have

JN = JK/2

JN= 8/2

JN = 4

Hence, the value of x is 2 and the length of JK is 4

Answers

g(x) is a translation of f(x), we have:

g(x) = f(x) - 3

How to write g(x) in terms of f(x)?

We have the two functions:

[tex]g(x) = x^2 - 3\\\\f(x) = x^2[/tex]

We can see that g(x) is just a translation of 3 units downwards of f(x), to write g(x) in terms of f(x) we can just replace the first term by f(x):

[tex]g(x) = x^2 - 3 = f(x) - 3[/tex]

So we have:

g(x) = f(x) - 3

If you want to learn more about translations:

https://brainly.com/question/24850937

#SPJ1

[tex]\int_{1}^{7} \frac{1}{x^{8}} d x[/tex]
\int_{1}^{7} \frac{1}{x^{8}} d x

Answers

Use the power rule,

[tex]\displaystyle \int x^n \, dx = \frac{x^{n+1}}{n+1} + C[/tex]

with [tex]n=-8[/tex]. It follows by the fundamental theorem of calculus that

[tex]\displaystyle \int_1^7 \frac{dx}{x^8} = -\frac1{7x^7} \bigg|_{x=1}^{x=7} = -\frac17 \left(\frac1{7^7} - \frac1{1^7}\right) = \boxed{\frac17 - \frac1{7^8}}[/tex]

A number M divides each of 25 and 36 with the same remainder in each case.What is the largest M can have?

Answers

Answer:

Step-by-step explanation:

try it and see, .........

Find all pairs of prime numbers (a,b) such that a^b✖️b^a+1 is prime

Answers

The pairs of prime numbers (a,b) between 1 and 10 inclusive such that a^b * b^a+1 is prime are

How to determine the pairs of numbers?

The expression that is a prime number is given as:

a^b * b^a + 1

The boundary or range of numbers of a and b is not given.

So, we make use of numbers between 1 and 10

i.e. 1 ≤ a ≤ 10 and 1 ≤ b ≤ 10

Using the above range, we have the following program to determine the pairs of prime numbers (a, b).

for a in range(1,11):

for b in range(1,11):

num = (a* *b) * (b* *a) + 1

flg = False

if num > 1:

for i in ra nge(2, num):

if (num % i) == 0:

flg = True

break

if not flg:

print(str(a)+","+str(b))

The output of the above program is:

(1,1), (1,2), (1,4), (1,6), (1,10), (2,1), (2,2), (2,3), (2,4), (3,2), (4,1), (4,2), (4,4) and (4,6)

The above represent all pairs of prime numbers (a,b) such that a^b * b^a+1 is prime

Answers

She has 51 all together

I have the question shown in the screenshot

Answers

The width and height of the rectangle inscribed in the right triangle have a measure of 3.529 units.

How to find the dimensions of the rectangle of maximum area by optimization

In this problem we must use critical values and algebraic methods to determine to determine the dimensions of the rectangle such that the area is a maximum. The equation of the quadrilateral is formed by definition of the area of a rectangle:

A = w · h (1)

Where:

w - Width of the rectangle.h - Height of the rectangle.

And the area of the entire triangle is:

0.5 · (5) · (12) = w · h + 0.5 · w · (12 - h) + 0.5 · (5 - w) · h

30 = w · h + 6 · w - 0.5 · w · h + 2.5 · h - 0.5 · w · h

30 = 6 · w + 2.5 · h

2.5 · h = 30 - 6 · w

h = 12 - 2.4 · w (2)

The quadrilateral of maximum area is always a square, then we must solve for w = h:

w = 12 - 2.4 · w

3.4 · w = 12

w = 3.529

Then, the width and height of the rectangle inscribed in the right triangle have a measure of 3.529 units.

To learn more on optimizations: https://brainly.com/question/15319802

#SPJ1

Select the solution to the following system of equations:

4x + y = 6
2x - 3y = -4

Answers

The solution to the given system of linear equations is x = 1, y = 2. That is (1, 2)

Simultaneous linear equations

From the question, we are to solve the given system of equations

The given system of equations is

4x + y = 6 -----------(1)

2x - 3y = -4 -----------(2)

From the equation (1)

4x + y = 6

y = 6 - 4x ----------(3)

Substitute the value of y into equation (2)

2x - 3y = -4

2x -3(6 - 4x) = -4

2x -18 +12x = -4

2x + 12x = -4 + 18

14x = 14

x = 14/14

x = 1

Substitute the value of x into equation (3)

y = 6 - 4x

y = 6 - 4(1)

y = 6 - 4

y = 2

Hence, the solution to the given system of linear equations is x = 1, y = 2. That is (1, 2)

Learn more on Simultaneous linear equations here: https://brainly.com/question/13729904

#SPJ1

Cara has saved 1, 430 pennies. She needs to put the pennies in paper rolls so the bank can count them easily. Each penny roll holds 50 pennies. How many penny
rolls will she need, and how many pennies will be in the last roll?

Answers

Cara has saved 1, 430 pennies. She needs to put the pennies in paper rolls so the bank can count them easily. Each penny roll holds 50 pennies. The number of pennies will be in the last roll is 30.

To find out the number of pennies will be in the last roll.

What is arithmetic?

The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.

Given that:

Cara has saved 1, 430 pennies.

Each penny roll holds 50 pennies.

1430 divides by 50 = 143/5≈29 roles and in last roll it will be 30 pennies.

So, the number of pennies will be in the last roll is 30.

Learn more about arithmetic here:

https://brainly.com/question/28092210

#SPJ1

Engineers must design a process for producing ammonia in amounts large enough to ensure a reasonable profit. Which criterion would the process need to meet? A. The process must make large amounts of product at a low cost? B. The process must be based on a technology that has long been used.C.The process must use only small amounts of reactants.D.The process must use the safest and most natural materials

Need this fast please

Answers

The process needs to meet the following criterion:The process must make large amounts of product at a low cost. That is option A.

What is ammonia?

Ammonia is defined as a gas compound that is made up of nitrogen and oxygen in the ratio of 1:3 respectively.

The industrial and modern method constructed by Engineers for ammonia production is called steam reforming.

The natural resources used for industrial production of ammonia can be gotten from natural gas such as methane.

To make profit, natural products are used which costs less to acquire but will lead to the production of large ammonia quantity.

Learn more about ammonia here:

https://brainly.com/question/14445062

#SPJ1

Paul's budget for food is 30% of the budget he has for rent.
If his budget for food is $225, what is his budget for rent?

Answers

Budget for rent is $750

to get an easier number to work with, divide 225 by 3 to get what 10% which is 75

then multiply 75 by 10 to get the full 100% (because 10x10=100) which is 750.

Paul's rent budget is $750, given that his food budget of $225, is 30 percent of his rent budget.

What are fractions?

Fractions are representation of quantities as a part of a certain quantity.

Written as a/b, read as a by b, and functions as a divided by b, represents a fraction showing a parts of b equal parts.

a is called the numerator, and b is called the denominator.

What are percentages?

Percentages are modified fractions where the whole quantity is represented by 100.

To convert a fraction into percentages we multiply it by 100, while to convert percentages to fraction divided by 100.

How to solve the question?

In the question, we are given that Paul's budget for food is 30% of the budget he has for rent.

We are asked if his budget for food is $225, what is his budget for rent.

We assume Paul's budget for rent to be $x.

We know that Paul's food's budget is 30 percent of his rent.

Hence, Paul's food budget = 30% of x.

or, Paul's budget for food = 30/100 * x {To convert percentages to fraction divided by 100}

But, we know that Paul's food budget is $225. Thus, we can show that:

225 = 30/100 * x,

or, x = (225*100)/30 = 750.

Thus, Paul's rent budget is $750, given that his food budget of $225, is 30 percent of his rent budget.

Learn more about percentages at

https://brainly.com/question/843074

#SPJ2

A-12 issue magazine subscription costs $36 what average cost per issue of magazine

Answers

The average cost per issue of magazine is $3

How to determine the average cost?

The given parameters are:

Cost = $36

Issue = 12

The cost per issue is calculated as:

Average = Cost/issue

This gives

Average = 36/12

Evaluate

Average = 3

Hence, the average cost per issue of magazine is $3

Answers

Match 1=6359
Match 2=8531
Match 3=10027

Add all of them together and u get 24,917 which is your answer

sec^2x-2secx.cosx+cos^2x=tan^2x-sin^2x

Prove the identity

Answers

Hello.

sin²x + cos²x = 1

cos²x = 1 - sin²x

secx = 1/cosx

sec²x = tan²x + 1

Use the figure below to complete the following problem.
Given:
ZH=2x+60
LT=x+30
HALT is a
H
2T=

1. 30
2. 60
3. 90

Answers

Answer:

1. 30

Step-by-step explanation:

∠H + ∠T = 180

(2x+60)+(x+30)=180

3x+90=180

3x=90

x=30

Bowl S contains only marbles.if 1/4 of the marbles were removed,the bowl would be filled to 1/2 of its capacity. If 100 marbles were added, the bowl would be full.how many marbles are in bowl S?

Answers

Answer:

22222222222222222222222222+22222222

Given AABC shown on the coordinate plane below.
AA"B"C" = Ro 90⁰(T(-4,3)(ABC))
Draw AA"B"C" if
You may use different colors for the separate transformations. Indicate your final answer.
Feel free to use the Dynamic Geometry Tool to complete the transformations.
02
PENCIL

Answers

The triangle ABC is shifted upwards by 3 units and towards the left by 4 units. After translation again it is rotated 90° counterclockwise. All these transformations are shown in the graph below.

What are transformation rules?

The following are the basic transformation rules:

Translation: (x, y) → (x + a, y + b) or (x, y) → (x - a, y - b)Reflection over x-axis: (x, y) → (x, -y)Reflection over y-axis: (x, y) → (-x, y)Rotation 90°(counterclockwise): (x, y) → (-y, x)Rotation 180°: (x, y) → (-x, -y)

Calculation:

A triangle ABC is given in the graph with vertices as

A(-1, 2), B(1, 4), and C(4, -1)

The transformation to be applied is A"B"C" = Ro 90°(T(-4,3)(ABC))

Where -

T(-4, 3) represents the translation of 3 units upwards and 4 units towards the left

R0 90° represents the rotation of 90° (counterclockwise) of the translated triangle.

Step 1: applying translation (-4, 3):

The new vertices of the triangle ABC translated by (-4, 3) units are represented by A'B'C'. They are:

A' - (-1 - 4, 2 + 3) = (-5, 5)

B' - (1 - 4, 4 + 3) = (-3, 7)

C' - (4 - 4, -1 + 3) = (0, 2)

These are shown in the graph below.

Step 2: applying rotation 90° (counterclockwise): (x', y') → (-y, x)

Now the new triangle formed after the translation is ΔA'B'C'

So, on applying rotation, the vertices are changed to,

A'(-5, 5) → A"(-5, -5)

B'(-3, 7) → B"(-7, -3)

C'(0, 2) → C"(-2, 0)

These are shown in the graph below.

Therefore, Δ ABC → Δ A'B'C' (by T(-4, 3)) → Δ A"B"C" (by Ro 90°) i.e.,

Δ A"B"C" = Ro 90°(T(-4, 3) ABC).

Learn more about transformations here:

https://brainly.com/question/4289712

#SPJ1

Which graph represents the solutions to the inequality |2x − 6| < 4? (5 points) number line with a closed circle on 1, shading to the left and a closed circle on 5, shading to the right number line with a closed circle on 1, shading to the right and a closed circle on 5, shading to the left number line with an open circle on 1, shading to the left and an open circle on 5, shading to the right number line with an open circle on 1, shading to the right and an open circle on 5, shading to the left

Answers

The graph that represents the inequality is:

Number line with an open circle on 1, shading to the right and an open circle on 5, shading to the left.

What is the inequality?

The inequality is:

|2x - 6| < 4

Which means that the distance of 2x - 6 to the origin is less than 4, hence:

-4 < 2x - 6 < 4.

The solution is:

2x - 6 > -4

2x > 2

x > 1

2x - 6 < 4

2x < 10

x < 5

The solution has open circles at x = 1 and x = 5, as they are not part of the solution, and the shading is in the middle, as the solution is 1 < x < 5, hence the correct option is:

Number line with an open circle on 1, shading to the right and an open circle on 5, shading to the left.

More can be learned about inequalities at https://brainly.com/question/25235995

#SPJ1

find the difference

Answers

Answer:

141; 6526; 28d.

Step-by-step explanation:

try this option, all the details are in the attachment.

The average heart rate of an adult human is 72 beats per minute. For an adult elephant, the average heart rate is 35 beats per minute.

A. Whose heart beats more times in one hour

B. Whose heart makes 1,000,000 beats in less time

Answers

The answer for both questions are adult humans

An advertiser claims that 80% of people stream their TV, 10% have cable, and the rest do not watch TV. To evaluate this claim, they take a sample and calculate a test statistic of
. If their rejection region is, what would their conclusion be?

Answers

The conclusion that they would arrive at based on the rejection region would be to reject the null hypothesis.

What is the rejection region?

This is the region that tells us that we are not to accept the null. The conclusion would be to reject the null.

This happens when the rejection region is found to be around the area that is in the critical value.

Raed more on rejection region here:

https://brainly.com/question/27963477

#SPJ1

Company XYZ closed at $46.07 per share with a P/E ratio of 16.66. Answer the following questions.

a.How much were earnings per share?

b.Does the stock seem overpriced, underpriced, or about right given that the historical P/E ratio is 12-14?

Answers

The amount of earnings per share is $2.77.

Earnings per share

a. Earnings per share = price per share / (P/E) ratio

Earnings per share = $46.07 / 16.66

Earnings per share= $2.77

B. Overpriced or underpriced stock

At P/E ratio = 12

Earnings per share = $46.07 / 12

Earnings per share = $3.84

Earning yield = ( Earning per share / market value )× 100

Earning yield = (3.84 / $46.07 ) × 100

Earning yield = 8.34%

At P/E ratio = 13

Earnings per share = $46.07 / 13

Earnings per share = $3.54

Earning Yield= (3.54 / 46.07 ) × 100

Earning Yield= 7.68%

At P/E ratio = 14

Earnings per share = $46.07 / 14

Earnings per share = $ 3.3

Earnings yield= ( 3.3 / 46.07 )×100

Earnings yield= 7.16%

Average of earning yield given P/E ratio is 12-14

Average of earning yield= ( 8.34 + 7.68 + 7.16 ) / 3

Average of earning yield= 7.73%

Earning yield = ( Earning per share / market value ) × 100

Earning yield= ( 2.77 / 46.07 ) ×100

Earning yield = 6.01%

Hence, Based on the above the stock is underpriced.

Learn more about earning per share here:https://brainly.com/question/18372069

#SPJ1

The perimeter of a regular hexagon is 72 inches. Find the length of each of its sides.

Answers

Answer:

12 inches

Step-by-step explanation:

Perimeter refers to distance around the 2D shape.

A hexagon is a polygon with 6 sides. The formula for the perimeter of a hexagon is P=6s

72=6s

The hexagon is 12 inches long

A hexagon has 6 sides. This means that 72 divided by 6 sides = 12 in.

If you want to know more on hexagons go here:

brainly.com/question/30849168

—————

Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle

—————

if a person invested half of her money at 11% and half at 10% and received $420 interest. find the total amount

Answers

The total amount invested was $4000. $2000 was invested at 11% while the remaining $2000 was invested at 10%.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the total amount of money invested, hence:

(0.5* x * 0.11) + (0.5 * x * 0.1) = 420

x = 4000

The total amount invested was $4000. $2000 was invested at 11% while the remaining $2000 was invested at 10%.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

I
23
12
N
L
12
23
O
K
M
18
18

Answers

Answer: [tex]\sqrt{407}[/tex]

Step-by-step explanation:

In this triangle, we know that [tex]IJ=46, IK=24, JK=36[/tex].

So, using the Law of Cosines in triangle IJK,

[tex]36^2 = 46^2 + 24^2 - 2(46)(24) \cos (\angle JIK)\\\\-1396=-2(46)(24) \cos(\angle JIK)\\\\\cos (\angle JIK)=\frac{349}{552}[/tex]

Using the Law of Cosines in the triangle LIK,

[tex](KL)^2 = 23^2 + 24^2 - 2(23)(24) \cos (\angle JIK)\\\\(KL)^2 = 23^2 + 24^2 - 2(23)(24)\left(\frac{349}{552} \right)\\\\(KL)^2 = 407\\\\KL=\sqrt{407}[/tex]

What The What The???

Answers

Considering a geometric sequence, the pattern is given as follows:

1, 2, 4, 8, 16, 32, 64.

What is a geometric sequence?

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

The first term and common ratio are given as follows:

[tex]a_1 = 1, q = 2[/tex].

Hence the remaining terms are:

[tex]a_4 = 2^{4-1} = 8[/tex][tex]a_5 = 2^{5-1} = 16[/tex][tex]a_7 = 2^{7-1} = 64[/tex]

More can be learned about geometric sequences at https://brainly.com/question/11847927

#SPJ1

On a shelf of a book store, there are 3 books on English, 4 books on Economics and 5 books on Business Mathematics. How many collections can be made, if each collection consists of at most 3 books on each subject?

Answers

If each collection consists of at most 3 books on each subject, the number of collection that can be made of 3 English, 4 Economics, and 5 Business Mathematics books are 40.

What is a combination?

A combination, as a mathematical technique, determines the number of possible arrangements in a collection of items.

In the combination, the order of the selection does not matter.

The implication is that in combinations, one can select the items in any order, unlike permutations, where the order of selection matters.

Data and Calculations:

English books on shelf = 3

Economics books on shelf = 4

Business Mathematics books on shelf = 5

Collections to be made = 3 books on each subject

The solution can be set up as a combination problem, as follows:

3 C 3 x 4 C 3 x 5 C 3

3! / 3! (3 – 3)! The solution is 1.

4! / 3! (4 – 3)! The solution is 4.

5! / 3! (5 – 3)! The solution is 10.

1 x 4 x 10

= 40

Thus, if each collection consists of at most 3 books on each subject, the number of collections that can be made of 3 English, 4 Economics, and 5 Business Mathematics books is 40.

Learn more about combinations and permutations at https://brainly.com/question/4658834

#SPJ1

See attachment for the full question

Answers

The inverse of the demand function is; P = 9 - 0.25Q

The profit-maximizing price and quantity are; $8.5 and 2 units.

The maximum profit is; $1

How to find the inverse of a function?

A) The demand function we are given is;

Q = 36 - 4P

Making P the subject gives the inverse demand function;

P = (36 - Q)/4

P = 9 - Q/4

P = 9 - 0.25Q

B) The profit-maximization point is the point at which MR = MC.

MR refers to the marginal revenue and MC is the marginal cost.

MC can be calculated as the first derivative of the cost function:

C(Q) = 4 + 4Q + Q²

MC = C'(Q) = 2Q + 4

Total Revenue = Price * Quantity

Total Revenue = (9 - 0.25Q) * Q

Total Revenue = 9Q - 0.25Q²

MR is gotten by differentiating Total Revenue to get;

MR = 9 - 0.5Q

Applying the condition MR = MC, we have;

9 - 0.5Q = 4 - 2Q

Solving for Q gives Q = 2

Thus, profit maximizing quantity is 2.

Thus, profit maximizing price will be;

P(2) = 9 - 0.25(2)

P(2) = $8.5

C) Formula for Maximum Profit is;

Profit = Total Revenue - Total Cost

Total Revenue = 8.5 * 2

Total revenue = $17

Total Cost is;

C(2) = 4 + 4(2) + 2²

C(2) = $16

Thus;

Maximum Profit = 17 - 16 = $1

Read more about Inverse of a function at; https://brainly.com/question/13948067

#SPJ1

What number line shows the solution set to this inequality? -2x + 9 < x − 9

Answers

For the number line, an open circle will be drawn on the value of 6 and the arrow pointing to the right side.

Number line and inequality

Given the inequality expression as shown

-2x + 9 < x − 9

Collect the like terms

-2x - x < -9 - 9

-3x < -18

Divide through by -3

x > -18/-3

x > 6

For the number line, an open circle will be drawn on the value of 6 and the arrow pointing to the right side.

Learn more on number line here: https://brainly.com/question/4727909

#SPJ1

Sara sells fruit juices. She made 400 cups of fruit juice. By the end of the day, 34th of the quantity was sold. How many pints of fruit juice was sold?

Answers

To answer the question, we need to convert cups to pints, now here is a way to remember the gallon, quarts, to pints, and to cups

In the Kingdom of Gallons (Write a big G on your paper)

Inside the G write 4 Qs

There were four Queens

Inside the Qs write 2 ps

Each Queen had to princess

In each princess write 2 Cs

And each princess has two Cats

Now we know that there is 2 Cups in each Pints so

since she sold 34 cups of juice in cups then we divide 34 by 2 to get

17 PINTS

Answer:

150 pints

Step-by-step explanation:

I believe you meant "By the end of the day, 3/4th of the quantity was sold."

Recall that 2 cups = 1 pint, so 400 cups = 200 pints, and

3/4 th of that would be 150 pints.

Other Questions

which of the following are quadratic functions? A. y= 5x-3/2+x^2 B. y= x^2+5x-2 C. y=-x+2 D. y= x-1/x

Answers

Related Questions

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

which of the following are quadratic functions?

A. y= 5x-3/2+x^2

B. y= x^2+5x-2

C. y=-x+2

D. y= x-1/x