The quadratic functions shown are written in factored form. The roots of a quadratic function will make the factors equal to 0.

Drag each function to show whether it has roots at x=−1 and x=5, roots at x=1 and x=−5, or neither.

The Quadratic Functions Shown Are Written In Factored Form. The Roots Of A Quadratic Function Will Make

Answers

Answer 1

Answer:

Roots x = -1 and x =5

k(x) = (x + 1)(x - 5)

m(x) = 1/2(x + 1 )(2x - 10)

Roots x = 1 and x = -5

n(x) = (3x + 15)(x - 1)

f(x) = (x - 1)(x + 5)

q(x) = (2x - 2)(3x + 15)

Neither

h(x) = 1/2(x + 1)(2x - 20)

Step-by-step explanation:

Answer 2
The function k(x) and m(x) has root x=-5 and x=5 The function n(x),q(x) and f(x) has roots x=1 and x=-5.h(x) has no roots from roots at x=−1 and x=5, and x=1 and x=−5.

We have given that ,the quadratic functions shown are written in factored form. The roots of a quadratic function will make the factors equal to 0.

What are the step for finding the polynomial from its root?

1. Write root as factor changing the sign and put each factor in paranthesis

2.Multiply paire of roots together using box to find the multiplication

3.Make sure that each factor multiplied by every other factor.

The function has roots x = -1 and x =5

[tex]k(x) = (x + 1)(x - 5)\\\\k(x)=x^2-5x+x-5\\k(x)=x^2-4x-5\\[/tex]

[tex]m(x) = 1/2(x + 1 )(2x - 10)\\m(x)=1/2(2x^2-10x+2x-10)\\m(x)=1/2(2x^2-8x-10)\\m(x)=x^2-4x-5[/tex]

The function k(x) and m(x) has root x=-5 and x=5

The function has roots x = 1 and x = -5

[tex]n(x) = (3x + 15)(x - 1)\\n(x)=3x^2-3x+15x-15\\n(x)=3x^2+12x-15\\n(x)=1/3(x^2+4x-5)[/tex]

[tex]f(x) = (x - 1)(x + 5)\\f(x)=x^2+5x-x-5\\f(x)=x^2+4x-5[/tex]

[tex]q(x) = (2x - 2)(3x + 15)\\q(x)=6x^2+30x-6x-30\\q(x)=6x^2+24x-30\\q(x)=1/6(x^2+4x-5)[/tex]

The function n(x),q(x) and f(x) has roots x=1 and x=-5

h(x) = 1/2(x + 1)(2x - 20)

h(x) has no roots from roots at x=−1 and x=5, and x=1 and x=−5.

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Related Questions

PLEASE HELP NEED ASAP. I BEG PLZZZZZZZ

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Answer:

Triangular prism

Hope this helps!

Answer:

the name of the given figure is triangular prism.

1. Find the measure of such angle whose supplementary angle is 35° more than twice of its complementary angle.​

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Answer: The measure of the angle is 35, the measure of its supplement is 145, and the measure of its complement is 55

HELP PLEASE!!!!!!!!!

Answers

Answer:

x-coordinate

Step-by-step explanation:

The answer is letter X

Can you help me with this

Answers

The linear function that passes through (3,1) and has a slope of -1/2 is defined as follows:

y = -0.5x + 2.5.

The graph of the linear function is given by the image presented at the end of the answer.

How to define the linear function?

The linear function for this problem is defined in slope-intercept format, as follows:

y = mx + b.

In which the coefficients of the function are given as follows:

m is the slope, representing the rate of change of the output variable relative to the input variable.b is the y-intercept, representing the value assumed by the output variable y when the input variable x assumes a value of zero.

The slope of the function in this problem is given as follows:

m = -1/2 = -0.5

Hence:

y = -0.5x + b.

The line passing through point (3,1) means that when x = 3, y = 1, and thus the intercept b is obtained as follows:

1 = -0.5(3) + b

1 = -1.5 + b

b = 2.5.

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What is 37/6 - 5.25 I really need this answer ASAP

Answers

Answer:

11/12

Step-by-step explanation:

A water cup in the shape of a cone has a height of 4 inches and a maximum diameter of 3 inches. What is the volume of the water in the cup, to the nearest tenth of a cubic inch, when the cup is filled to half its height? E. 1.2 F. 3.5 G. 4.7 H. 14.1

Answers

Answer:

Step-by-step explanation:

A water cup in the shape of a cone has a height of 4 inches and a maximum diameter of 3 inches. What is the volume of the water in the cup, to the nearest tenth of a cubic inch, when the cup is filled to half its height? E. 1.2 F. 3.5 G. 4.7 H. 14.1

WOMENA NGO provides transport refund to every member who attend a seminar as below. a Trainer of trainers (TOT) is given 40% of the money, a Trainer is given 30% of the money,a student lead and other participants share the remaining percentage equally.As a learner,using the knowledge of angles,drawing figures and percentages, draw a pie chart that would help the organization distribute the Transport refund. (Use radius of 4cm)​

Answers

Therefore , the solution to the given question of percentage comes out to be 7.89.

What is a percentage?

A% is a number that represents the percentage of 100 that it is, and it can also be stated as a decimal or a fraction. To convert a percentage to a fraction, place 100 in the denominator and the percentage number in the numerator.

Here,

Given : 40% of the money, a Trainer is given

30% of the money ,a student lead

Find the discount

40 * .15 = 6

Take this from the original price

0.30* 6.3 =1.89

The sale price is 6 + 1.89 =7.89

Therefore , the solution to the given question of percentage comes out to be 7.89.

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surface area of this triangle

Answers

On solving the provided question we can say that - area of the given triangle will be A = 60 cm sq.

What is triangle?

Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.

here,

B = 8cm

H = 15 cm

A = 1/2 BH = 1/2 X 8 X 15 = 60cm sq.

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Why is 3 a polynomial?

Answers

A variable has a degree of zero and no exponent. Each constant polynomial has a degree of zero.

A polynomial is what?

A polynomial only uses addition, subtraction, multiplication, and non-negative integer exponentiation of the variables as its operations. In mathematics, the term "indeterminate" is frequently used to describe variables. A polynomial is an equation that combines variables, constants, and exponents while using addition, subtraction, multiplication, and division of numbers (No division operation by a variable).

A variable has no exponent, the degree is 0. The degree of each constant polynomial is zero .

Since 3 can be expressed as  [tex]3 X 0[/tex] and is a constant polynomial, it has a degree of [tex]0[/tex].

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A restaurant serves a bowl of candies to their customers. The bowl of candies Gabriel receives has 10 chocolate candies, eight coffee candies, and 12 caramel candies. After Gabriel chooses a candy, he eats it. Find the probability of getting candies with P (chocolate or coffee)

Answers

Answer:

3/10

Step-by-step explanation:

Let the total number of candies =

10 chocolate candies + 8 coffee candies + 12 caramel candies = 30 candies

Probability of picking a chocolate candy = P(chocolate) = 10/30

Probability of picking a coffee candy = P(chocolate) = 8/30

Hence, the probability of getting candies with P (chocolate or coffee)

= P(chocolate) + P(coffee)

= 10/30 + 8/30

= 18/30

= 3/10

Therefore, the probability of getting candies with P (chocolate or coffee) is 3/10

The discount price of a hat is $18. What is the regular price? Show or explain your work.
The discount is 20% off of everything

Answers

so first you would multiply 18 and 20% and with that answer you have to dive by 100 because that's the whole for a percent number, your answer should be $3.60

2/2+1/4 b hh b b b b b b b b b b b b

Answers

Answer:

[tex]\frac{2}{2} + \frac{1}{4} = \frac{5}{4}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2}{2} + \frac{1}{4}[/tex]

Required

Solve

[tex]\frac{2}{2} + \frac{1}{4}[/tex]

Take LCM

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

[tex]\frac{2}{2} + \frac{1}{4} = \frac{5}{4}[/tex]

Answer:

2/2 + 1/4 is 1.25 and               b hh b b b b b b b b b b b b b b

Step-by-step explanation:

The perimeter of a regular 11-sided polygon is 330cm.

Calculate the length of one side.

Tell how you work it out

Answers

Answer:

I don't know how to work it out because I have not answered this question

a.) Macy’s is having a Black Friday sale where everything is 30% off.
How much will a dress that cost $180 be after the discount?

Answers

Answer: $126.00, the difference is 54.00

Step-by-step explanation:

126 ∛·÷÷∈∈πΔ≈∨∨⊃∪∡∠∉∉⇔βββ

ILL BRAINLIEST YOU PLEASE HELP ME

Answers

Answer:

10

Step-by-step explanation:

A person loans his friend $500. They agree to an annual interest rate of 5%.

Write an expression for computing the amount owed on the loan, in dollars, after 1 years If no payments are made. ​

Answers

If no payments are made then the then after 1 year the interest will go by 5% , therefore the amount to be paid will become ,   P + 25 = 525 $.

Principle + 5% of 500

Therefore, the equation becomes ,

Amount = P + 25

To calculate the interest ,

interest = principal × interest rate × term

             = 500 x 5 x 1

              = 2500.

A loan is defined as a thing or money which is borrowed, especially a sum of money that is expected to be paid back with an interest rate which is fixed by both the parties.

Loans are typically taken or granted by by corporations, financial institutions, and governments. They allow for growth in the overall money supply in an economy and open up competition by lending to new businesses.

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Find three consecutive positive integers such that the product of the median and largest integer is 8 times the sum of the smallest and largest interger.

Answers

The positive integers are 14, 15 and 16

What is an algebraic expression?

An algebraic expression can be defined as an expression that is made up of coefficients, terms, variables, factors and constants.

From the given information, we have that;

Let the consecutive integers be;

x, x+ 1, x+ 2

This can be represented as;

(x+1)(x+2) = 8(x + x+ 2)

Now, expand the bracket

x² + 2x + x + 2 = 8(2x + 2)

x² + 3x + 2 = 16x + 16

collect like terms

x² + 3x - 16x + 2 - 16 = 0

Add or subtract like terms

x² - 13x - 14 = 0

Solve the quadratic equation

x² -14x + x - 14 = 0

factor in pairs

x(x- 14) + 1(x -14) = 0

Then,

x = -1

x = 14

Take 'x' as 14

smallest integer = 14

Median = 14 + 1 = 15

Largest integer = 16

Hence, the values are 14, 15 and 16

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5 1/4 divided by 1/4?

Answers

let's convert the mixed fraction to improper fraction first.

[tex]\stackrel{mixed}{5\frac{1}{4}}\implies \cfrac{5\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{21}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{21}{4}\div \cfrac{1}{4}\implies \cfrac{21}{4}\cdot \cfrac{4}{1}\implies \cfrac{21}{1}\cdot \cfrac{4}{4}\implies \text{\LARGE 21}[/tex]

Answer: 5 1/4 ÷ 1/4 = 21

Step-by-step explanation: Because the denominator is four, you would combine and create a mixed fraction. 5 × 4 = 20 and 20 + 1 = 21. So 5 1/4 equals 21 fourths which is why 5 1/4 ÷ 1/4 = 21

Find the equation of the linear function represented by the table below in slope-intercept form.

Answers

y = 3x+4 ← equation of linear function.

What is a straight line?

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

Here, we have,

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = y_2-y_1/x_2-x_1

with (x₁, y₁ ) = (- 3, - 5) and (x₂, y₂ ) = (1, 7) ← 2 ordered pairs from the table

m = 7+5/1+3

  =12/4

   = 3 ,

So, y = 3x + c ← is the partial equation

To find c substitute any ordered pair from the table into the partial equation

Using (1, 7 ), we get,

7= 3 + c

⇒ c = 7-3

      = 4

Hence, y = 3x+4 ← equation of linear function

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Possibly free brainliest (Only if you give step-by-step explanation.

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I'll answer ur question but the image is blurry

find the approximate surface area of the cylinder pictured below

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No don’t press the link aii

Someone please help!

Answers

Triangles equal 180. The bottom left corner is 90 in this triangle. Add the angles together set equal to 180.

x = unknown angle

90 + 67 + x= 180
157 + x= 180
subtract 157 from both sides
x= 23

ANSWER: x=23

Hope this helps! :)

Which graph best represents the equation x^2 + (y - 1)^2 = 3?


Answers

Answer:

smallest circle. last option

Step-by-step explanation:

The bottom one on the far right

select all pairs of vertical angles (ANSWER ASAP)

Answers

Angle 1 and 3
Angle 2 and 4
Vertical angles are opposite angles

How do you find the missing side of an isosceles triangle?

Answers

Isosceles triangle has three sides, three angles, a base, a height, and an area in which two sides are equal to each other .

What is an isosceles triangle simple definition?

An isosceles triangle is a triangle with (at least) two equal sides. In the figure above, the two equal sides have length and the remaining side has length. . This property is equivalent to two angles of the triangle being equal. An isosceles triangle therefore has both two equal sides and two equal angles

the sum of triangle is 180, sum of all the interior angles is equal to 180.

so if you know two angles then apply sum of triangles and find out the value of the third triangle.

isosceles triangle

An isosceles triangle is a type of triangle that has any two sides equal in length. The two angles of an isosceles triangle, opposite to equal sides, are equal in measure.

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Based on the number of claims filed, a homeowners insurance company periodically reevaluates its premiums. It will either increase or decrease its premiums for all customers. Which measure provides the best information for its reevaluation?

Answers

The measure that provides the best information for the reevaluates of premiums by the homeowners insurance company, is  A. claims per dollar value of property.

What influences a reevaluation of premiums ?

Homeowners insurance companies may reevaluate premiums for a variety of reasons, including:

Changes in risk: Insurance companies regularly assess the risk associated with insuring a home, and if a home's risk profile changes, the premium may be adjusted. For example, if a home is located in an area that is prone to natural disasters such as floods or wildfires, the premium may be higher than for a home located in a safer area.

Changes in the home: Homeowners insurance companies may reevaluate premiums if the homeowner makes changes to the home that increase its value or make it safer. For example, if the homeowner installs a new roof or a security system, the premium may be lowered as a result.

Changes in claim history: Insurance companies may also reevaluate premiums if the homeowner makes a lot of claims or if the value of claims is higher than expected. This could lead to premium increase as the company has to cover that additional cost.

This shows that claims per dollar value of a property can affect how an insurance company reevaluates rates.

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Options for this question include:

A. claims per dollar value of property

B. claims per year per city

C. claims per year

D. claims per sub-division

HELP ILL GIVE BRAINLIEST

Answers

a) 0.375

b) [tex]\frac{7}{8}[/tex]

Jay wants to go paddleboarding at least 8 hours each week. If he averages 2 hours per day, write and solve an inequality to find how many days he will have to go kayaking.​

Answers

An inequality to find how many days he will have to go kayaking. is; d ≥ 4

How to solve Inequality word problems?

We are told that Jay wants to go paddle boarding at least 8 hours each week. This means greater than or equal to 8. That is the minimum number of hours each week is 8 hours.

Now, we are told that he averages 2 hours per day. If the number of days is given by d, then we have the inequality as;

2d ≥ 8

Divide both sides by 2 to get;

d ≥ 4

That is the domain of the number of days required to go kayaking

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What is logically equivalent example?

Answers

Two statements are logically equivalent if they have the same truth value in all possible circumstances, meaning that they are either both true or both false in any given context.

For example, the statement "All dogs are mammals" is logically equivalent to the statement "All non-mammals are not dogs." Although the statements use different words and phrasing, they convey the same information and are both true.

Another example would be the statement "x>2" is logically equivalent to the statement "x>=3" because they both would have the same solutions.

Logical equivalence is important in logical reasoning, proof and in computer science where it is used to determine if two statements are logically equivalent which leads to simplify the boolean expressions.

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Please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

86.2

Step-by-step explanation:

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