What are the features of the quadratic function f(x)=(x-3)(x+7)?

Answers

Answer 1

Answer:

It's vertex (-2,-25)x-intercept x=-7,x=3y-intercept f(0)=-21domain,xER or x is an element of real numberit's neither even nor odd function

Related Questions

What is the least common
denominator?
3
-7
5
4xy'z ' 8xºy ' 12yz2
[ ? ]x[ y[ ]z Q
Z

Answers

VgicucccuYoloyfyfxdysurxu

What are the solutions of 3x² + 14x + 16 = 0?
0 x=-₁-2
0 x = -2₁-²2/
0x = ²,2
0x=-₁2
X

Answers

Answer:

x = -2, -2

Step-by-step explanation:

3x² + 14x + 16 = 0

(3x+8) (x+2)

x = -8/3

x = -2

The solutions of the quadratic equation 3x² + 14x + 16 = 0 are x = -2 and x = -8/3.

To find the solutions of the quadratic equation 3x² + 14x + 16 = 0, we can use the quadratic formula.

The quadratic formula states that for an equation of the form ax² + bx + c = 0

The solutions for x can be found using the formula:

x = (-b ± √(b² - 4ac)) / (2a)

For the given equation 3x² + 14x + 16 = 0,

a = 3, b = 14, and c = 16.

Substituting these values into the quadratic formula, we get:

x = (-14 ± √(14² - 4.3.16)) / (2 × 3)

x = (-14 ± √(196 - 192)) / 6

x = (-14 ± √4) / 6

Now we have two possibilities for x:

x₁ = (-14 + √4) / 6

x₂ = (-14 - √4) / 6

Simplifying each expression:

x₁ = (-14 + 2) / 6

x₁ = -12 / 6

x₁ = -2

x₂ = (-14 - 2) / 6

x₂ = -16 / 6

x₂ = -8 / 3

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both of the drop menus have the same options

Answers

Answer:

The slope of line p is 3 and the slope of line q is -3

please help me with my math

Answers

Answer:

x=115⁰

z=27⁰

Step-by-step explanation:

65+x=180 -> Due to same side interior being equal to 180 degrees

x= 115

x = 3z + 34 -> opposite interior being equal

115 = 3z + 34

81 = 3z

divide by 3 on both sides

z=27

Answer: x = 115, z = 27

Step-by-Step Solution:

We know, Adjacent or Consecutive Interior Angles are Supplementary and Alternate Interior Angles are Equal.

So,
=> x + 65 = 180 (Adjacent interior angles)
=> 3z + 34 = x (Alternate interior angles)

First solve Equation 1 :-

x + 65 = 180
x = 180 - 65
=> x = 115

Therefore, x = 115.

Now we got the value of ‘x’. Substitute this value in Equation 2 to find the value of ‘z’ hence completing our answer.

Substitute value of ‘x’ in Equation 2 :-

3z + 34 = x
3z + 34 = (115)
3z = 115 - 34
3z = 81
z = 81/3
=> z = 27

Therefore, z = 27.

Now we have the required answers.
Hence, x = 115 and z = 27.

Reece and Sarah share some money in the ratio 9 : 16.
Reece says that Sarah gets more than 60% of this money. Show that Reece is correct.

Answers

Answer:

64% > 60%

Step-by-step explanation:

Total Units = 9 + 16 = 25 units.

Sarah Receives 16 units out of 25.

Percentage = 16/25 * 100

= 64%

Therefore Sarah received more than 60% of this money and therefore Reece is correct.

On average, 5 of every 200 customer calls at company A are complaint calls. What percentage of company A’s customer calls are complaint calls ?

Answers

The percentage is company A’s customer calls is 0.025 = 3%

A survey of 100 high school students provided this
frequency table on how students get to school:
Drive to Take the
Grade
Walk
School
bus
Sophomore
2
25
3
Junior
13
20
2
Senior
25
5
5
What is the probability that a randomly selected student
is a junior?
?
P (Junior)
=

Answers

Answer:

35/100

Step-by-step explanation:

You have to find how many juniors there are, so if you add 13, 20, and 2 you get 35. For the denominator you have to find the total number of students, so just add all of the numbers together to get 100. So there is a 35/100 chance that a randomly selected student is a junior.

Answer: 7/20

Step-by-step explanation:

What is the sum of the polynomials?
(7x³-4x²) + (2x³-4x²)
5x³
9x3
O5x³-8x²
O9x³8x²

Answers

[tex](7 {x}^{3} - 4 {x}^{2} ) + (2 {x}^{3} - 4 {x}^{2} ) \\ 7x ^{3} - 4 {x}^{2} + 2 {x}^{3} - 4 {x}^{2} \\ 7 {x}^{3} + 2 {x}^{3} - 4 {x}^{2} - 4 {x}^{2} \\ 9 {x}^{3} - 8 {x}^{2} [/tex]

PLEASE GIVE BRAINLIEST

Therefore , the solution of the given problem of equation comes out to be  9x³ - 8x².

What is the equation?

A mathematical equation is a formula that uses the equal sign (=) to connect two statements and express equality. A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra.

Here, we have,

Polynomial function total

Polynomial functions are those that have a leading degree of three or higher. given the total;

(7x^3-4x^2)+(2x^3-4x^2)

Expand => (7x 3-4 times) + (2x 3-4 times)

= > 7x^3-4x^2 + 2x^3-4x^2

assemble similar terms

=> 7x^3 + 2x^3 - 4x^2 -4x^2

=> 9x^3 - 8x^2

Therefore , the solution of the given problem of equation comes out to be 9x³ - 8x².

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solve 15/4 -7 X=9 answer the question​

Answers

[tex] \frac{15}{4} - 7x = 9 \\ \\ \frac{15}{4} - 9 = 7x \\ \\ 7x = \frac{15 - 36}{4} \\ \\ 7x = \frac{ - 21}{4} \\ \\ x = \frac{ - 21}{4 \times 7} \\ \\ x = \frac{ - 3}{4} .[/tex]

pls help
Enter the equation for the graph.

Answers

Answer:

[tex]y=[1]cos([\frac{2\pi }{3}]x)[/tex]

Step-by-step explanation:

Looking at the graph, we can see the domain to be from (0 , 2π).

Now we have to find one period that corresponds to cos(x).

The half-period of cos(x) for this graph appears to be pi/3 and adding another pi/3 gets us 2pi/3 to be our cosine period.

b = 2pi/3

a is the same range as cos(x). Range: (0,0)

y = [a] * cos ([b]*x)

y = [1] * cos([2pi/3]x)

EMERGENCY!! 25 POINTS!!
Make a table for the following data.

a) English, Maths, Urdu, Science, English, Urdu, Science, Maths, English, Computer, Maths, Urdu, Science, Maths, Computer, English.

Answers

Using tally marks make a table of the given subjects English (4), Urdu (3), Maths (4), Science (3) and Computer (2).

The given data are English, Maths, Urdu, Science, English, Urdu, Science, Maths, English, Computer, Maths, Urdu, Science, Maths, Computer, and English.

What is a data table?

A table is an arrangement of information or data, typically in rows and columns, or possibly in a more complex structure. Tables are widely used in communication, research, and data analysis.

The data table for the given data is given below:

Thus, using tally marks make a table of the given subjects English (4), Urdu (3), Maths (4), Science (3) and Computer (2).

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Answer:

huh

Step-by-step explanation:

Which pair of functions are inverses of each other?

Answers

The pair of functions are inverse of each other is, [tex]\rm f(x)=5x-9 \ and \ g(x) = \rm \frac{x-9}{5}[/tex].Option C is correct.

What exactly is a function?

A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.

On checking the function one  by one we get that option c satisfies the conditions;

[tex]\rm f(x)=5x-9[/tex]

Change the coefficient;

y=f(x) as x=f(y)

The function is written as;

y=5x-9

x=5y-9

Simply the function;

[tex]\rm y = \frac{x+9}{5} \\\\ y=g(x) \\\\\ g(x) = \frac{x+9}{5}[/tex]

The pair of functions are inverses of each other is,[tex]\rm f(x)=5x-9 \ and \ g(x) = \rm \frac{x-9}{5}[/tex]

Hence option C is correct.

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OA x + 2y ≤ 5
and 3x + y ≥ 4
OB. + 2y ≤ 5
and
3x + y ≤ 4
OC. I + 2y 25
and
3x + y ≤ 4
OD. x + 2y 25 and
3x + y ≥ 4
-7-6-5-4-3-2-1
9465
12.3.4.5.6

Answers

Answer:

5

Step-by-step explanation:

5

A television is 28.5 inches wide and 16 inches long.

Using the Pythagorean Theorem, what is the length of the diagonal of the television, rounded to the nearest inch?

a.)
45 inches

b.)
22 inches

c.)
33 inches

d.)
24 inches

Answers

Answer:

C) 33 inches

Step-by-step explanation:

A^2 + B^2 = C^2

812.25 + 256 = C^2

1068.25 = C^2

32.684 = C

Hope this helps! Pls mark me as brainliest :)

in the adjoining figure prove that<A+<B+<C+<D+<E is equal 180​

Answers

It has been proved that the 5 star vertices have their sum of angles as A + B + C + D + E = 180°

How to find the sum of angles of a polygon?

The adjoining star contains a regular pentagon. Thus;

Sum of interior angles of the pentagon = (5 - 2) * 180 = 540°

Thus;

Each interior angle of the pentagon = 540/5 = 108°

Thus, each exterior angle = 180 - 108 = 72°

Then measure of the angle at the vertex = 180 - 72 - 72 = 36°

Thus, each angle at the vertices of the star have an angle of 36°.

There are 5 star vertices and so;

Sum of angles of 5 star vertices = 5 * 36 = 180°

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Use the distance formula to find the perimeter of the triangle below. Round you answer to the nearest hundredth. ​

Answers

jAlright, let's take this problem step-by-step:

What is the perimeter:

 ⇒ all the side-lengths added up

    ⇒ need to find side-length using distance formula

                [tex]Distance_._. Formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

                         - (x₁,y₁): first point

                         - (x₂,y₂): second point

Let's solve:

Find length of AC

           ⇒ first point: (5,7)

           ⇒ second point: (3,3)

           [tex]Distance =\sqrt{(3-5)^2+(3-7)^2} =\sqrt{4+16} =\sqrt{20} =4.472[/tex]

Find length of AB

          ⇒ first point: (5,7)

          ⇒ second point:(8,6)

           [tex]Distance=\sqrt{(8-5)^2+(6-7)^2} =\sqrt{9+1} =\sqrt{10}=3.162[/tex]

Find length of BC

          ⇒ first point: (8,6)

          ⇒ second point: (3,3)

           [tex]Distance = \sqrt{(3-8)^2+(3-6)^2} =\sqrt{25+9} =\sqrt{34}=5.831[/tex]

Now let's solve for the perimeter:

  [tex]Perimeter = 4.472+ 3.126+ 5.831=13.429[/tex]

Answer: 13.43 (rounded to the nearest hundredth)

Hope that helps!

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Gaston has budgeted $475.00 for spending money on his trip to Zambia. If the current exchange rate is 1 U.S. dollar:12 Zambian kwacha, how many kwacha will Gaston have to spend?
3,958
4,500
5,700
6,200

Answers

Answer:

3,958 kjksjjdkskdjdjd

Work out the length of x.
Give your answer rounded to 3 significant figures.
8.6 cm+
x
The diagram is not drawn accurately.

Answers

Answer:

12.2cm

Step-by-step explanation:

Follow the steps in the image I send you to learn it if you don't get it tell me.

which of the following have eight faces

Answers

write full questionnnnnnnnnn

Write a quadratic function f whose zeros are 2 and 7.

Answers

Answer:

f(x) = (x - 2)(x - 7)

Step-by-step explanation:

an easy way to write a quadratic function who has zeroes of certain numbers is to use this format- f(x) = a(x - p)(x - q)

in this format

the p and the q are both zeroes

it does not matter what the a value is

an example for when the zeroes are 2 and 7 could be

f(x) = (x - 2)(x - 7)

Jacob and his sister, jenny, share the job of cutting the grass in their yard. jacob cuts 2 of the yard, and jenny cuts the rest can cut 3/4 of an an entire tard of an hour

Answers

Answer:

okay

Step-by-step

no of yards they cut in an hour

Jacob = 2 yard

jenny 3/4 of a yard

no of yards it will take jenny to cut 3 yards =  4 hours

Sam is baking cakes at her parents' bakery. She gets paid $20 a week in addition to $4 for every cake she bakes. She made $60 this week. Write an equation to show how many cakes Sam baked this week

Answers

An equation is formed of two equal expressions. The number of cakes that are made by Sam this week is $10.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Sam gets paid $20 a week in addition to $4 for every cake she bakes. Let y be the total amount that is made by Sam this week, while x represents the number of cakes she bakes. Therefore, the equation for the total amount made by sam in a week can be written as,

y = 20 + 4x

Since her total income for this week is $60, therefore, we can write,

60 = 20 + 4x

40 = 4x

x = 10

Hence, the number of cakes that are made by Sam this week is $10.

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Which statement regarding the diagram is true?

m∠WXY = m∠YXZ
m∠WXY < m∠YZX
m∠WXY + m∠YXZ = 180°
m∠WXY + m∠XYZ = 180°

Answers

The statement m∠WXY + m∠YXZ = 180° is true.

Explanation

From the diagram, m∠WXY > m∠YXZ ⇒ m∠WXY ≠ m∠YXZ. So, option (a) is not true.

From the diagram, m∠WXY > 90° and m∠YZX < 90° ⇒ m∠WXY ≠ m∠YXZ. So, option (b) is not true.

The line WXZ is a straight line so ∠WXY and ∠YXZ are Linear pair. The sum of collinear angles is 180°. So, option (c) is correct.

From the diagram, m∠YXZ ≠ m∠XYZ but since m∠WXY + m∠YXZ = 180° ⇒ m∠WXY + m∠XYZ ≠ 180°. So, option (d) is not correct.

Option (c) is, thus, the correct option.

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Question

Which statement regarding the attached diagram is true?

m∠WXY = m∠YXZ

m∠WXY < m∠YZX

m∠WXY + m∠YXZ = 180°

m∠WXY + m∠XYZ = 180°

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Find the area of following quadrilateral ​

Answers

Answer:

[tex]222cm^{2}[/tex]

Step-by-step explanation:

First we will find the length of BD.

By Pythagoras' Theorem,

[tex]c^{2} =a^{2} +b^{2} \\BD^{2} = AD^{2} +AB^{2} \\BD^{2} =12^{2} +16^{2} \\BD^{2} = 144+256\\BD^{2} =400\\BD = \sqrt{400} \\=20cm[/tex]

Now we will find Angle ADB.

[tex]\frac{AB}{sin(Angle ADB)} =\frac{BD}{Sin(AngleBAD)} \\\frac{16}{sin(AngleADB)} =\frac{20}{sin(90)} \\20sin(AngleADB)=16sin(90)\\20sin(AngleADB)=16\\sin(AngleADB)=\frac{16}{20} \\sin(AngleADB)=0.8\\AngleADB=sin^-1(0.8)\\=53.130deg\\[/tex]

Now we will find Area of triangle BCD

[tex]Angle BDC = 90 - Angle ADB = 90 - 53.130 = 36.87deg\\\\\\Area of Triangle BCD \\= \frac{1}{2} (BD)(CD)sin(AngleBDC)\\=\frac{1}{2} (20)(21)sin(36.87)\\= 126cm^{2}[/tex]

Then we will find the area of triangle BAD

[tex]=\frac{1}{2} (16)(12)\\= 96cm^{2} \\[/tex]

Area of quadrilateral = Area of Triangle BCD + Area of Triangle BAD

= 126+96

= [tex]222cm^{2}[/tex]

Answer:

A = 222 cm²

Step-by-step explanation:

it is a trapezoid

so

A = ½ (a + b) h

A = ½ (16 + 21) × 12

A = ½ 37 × 12

A = ½ 444

A = 222 cm²

URGENTTT...A survey asks teachers and students whether they would like the new school mascot to be a pirate or a moose. This table shows the results:

Answers

The option second "No, they are not independent because P(student)≈ 0.82 and P(student pirate) ≈ 0.94" is the correct option (B) is correct.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have a table given that shows the survey asks teachers and students whether they would like the new school mascot to be a pirate or a moose.

The probability of a person that is a student:

P(student) = (75+15)/110 = 0.83

The probability:

P(student|pirate) = 75/80 = 0.93

The probability of both events is different.

Thus, the option second "No, they are not independent because P(student)≈ 0.82 and P(student pirate) ≈ 0.94" is the correct option (B) is correct.

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Write 5.54 million in ordinary form

Answers

Answer:

5,540,000

Step-by-step explanation:

Write 5.54 million in ordinary form

5.54 * [tex]10^{6}[/tex] =

5540000

or

5.54 * 1000000 =

5540000


What is the area of parallelogram ABCD?

Answers

13 square units is the answe

The temperature fell at a rate of 0.65 °C/h. The temperature was recorded at 37 °C
at 6 p.m. Which function can be used to represent this situation?
Of(x) = 37 -0.65x
Of(x) = 0.65x - 37
Of(x) = 37x + 0.65
Of(x) = 0.65x+37

Answers

The linear function that can be used to represent the temperature in x hours after 6 pm is given by:

f(x) = 37 - 0.65x.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem:

The y-intercept is the initial temperature of 37ºC.The slope is the rate of change of -0.65ºC/h.

Hence the function is:

f(x) = 37 - 0.65x.

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The __________ and the _________ are two of the most popular and useful methods of standardizing for size and comparing distributions.

Answers

The proportion and the median are two of the most popular and useful methods of standardizing for size and comparing distributions.

Methods of standardization

Proportion is the fraction of favorable cases from the total number of cases. It is defined for both population and sample.

Median is defined as the numeric value separating the higher half of a sample, a population, or a probability distribution, from the lower half of it.

Therefore, the proportion and the median are two of the most popular and useful methods of standardizing for size and comparing distributions.

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t(3^3\ 3^4)^5
help!!

Answers

The final expression will be given as  [tex][\dfrac{1}{243}][/tex] , where the numerator is 1 and the denominator is 243.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given expression:-

E = [tex][\dfrac{3^3}{3^4}]^5[/tex]

The ratio will be solved by elimination three times 3 with the denominator having four times three.

E = [tex][\dfrac{1}{3}]^5[/tex]

We will calculate the three to the power five now which is 243.

E = [tex]\dfrac{1}{243}[/tex]

Therefore the final expression will be given as  [tex][\dfrac{1}{243}][/tex] , where the numerator is 1 and the denominator is 243.

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Renate launched an object vertically from a point that is 58.9 meters above ground level with an initial velocity of 21.6 meters per second. This situation can be represented by the equation h=4.9t2+21.6t+58.9, where h is the height of the object in meters and tis the time in seconds after the object is launched.What is the maximum height of the object? Adam wins $30 in a "spot the ball" competition. He decides to save the money and opens a saving account with the $30. After his win, he continues to put $8 into his savings account each week. Identify a rule for the linear function that describes Adam's savings. Use the rule to find the amount Adam saved during the first 5 weeks. give me the answerGiven below is a magic square. Place the numbers70 21 25 24 , ,, 95 133 95 38in the appropriate squares so that sum in each row, column anddiagonal is equal A hydrogen bond forms by the electrostatic interaction of opposite charges in two molecules. Ifthe bond length is 2x10 -10 m and the magnitude of the charges involved isapproximately 1.60x10 -20C, what is the force between the molecules involved in the bond? One number is 6 more than twice another. If their sum is 51, find the numbers. Which of the following systems of equations represents the word problem? y = 2x + 6 and y = x + 51 y = 2x + 6 and x + y = 51 y = 2(x + 6) and x + y = 51 Need help!!!!!!!!!!!!!!!!! 4.The nurse has a prescription to infuse vancomycin 750 mg in 250 mL of 0.9% Sodium chlorideover 120 minutes every 12 hours. Calculate the mL/hour. Round the answer to the wholenumber.ml 250mL Carolyn bought two brands of socks. She bought a total of 5 pairs. One brand cost $2 each and the other brand cost $3 each. She spent $13. Find the number of pairs each brand of socks she bought Which number comes next in this series 1/64 1/32 1/16 1/8 1/4 1/2 In cities where people typically go to retire, there tends to be larger markets for Viagra. Nancy, a Viagra saleswoman, recently moved from Park City Utah (an amazing place to retire) to Florida (another common place to retire) simply because of its warmer climate and will need to spend some time looking for a new job at one of the many Viagra sales firms in Florida. Nancy would be considered: A charity bingo game costs $2 per round and has a $13 entry fee for an adult. It costs $3 per round and a $10 entry fee for a child. For how many rounds of bingo are the costs the same for an adult and a child?. Glucose, CH12O6, is a product of photosynthesis.It has the following structure.HICIOHICIOHHOIC-HHICIOHHICIOHHICIOHIHHow many chiral centres does the molecule have?A 1B2C 4D 6 Select the correct answer. Simplify the polynomial expression. 3x(-2x+7) -5(x-1)(4x-3) Write an inequality for the given statement: The sum of twice a number and 12 is no more than 24.A. 2x+12>24B. 2x+12 < 24C. 2x+12224D. 2x+12 24 The speed of light through space is Select the correct answer from the drop-down menu.Read the sentence from the passage.That old gentleman with the wild, white beard and the wild, white hatthat venerable humbug was not really a philosopher; but at least he was the cause of philosophy in others.The word venerable suggests that Which statement best defines voice in literatureWhich line contributes to the dismal and dreary mood of the poem? Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N is 39 degrees. Exterior angle P N M is x degrees.Which statement about the value of x is true?x > 38x < 39x < 77x > 103 Omar, who works as a waiter in a top restaurant in manhattan, likes the fast pace of his work and the fact that things are always changing there. Omar can be said to. Solve the following inequality |x| < 13