For the function

[tex]f(x)=x^2-2x-8\\[/tex]

Find the equation of the line of symmetry.

no links please and thank you! Please help ASAP! Will give Brainliest!

Answers

Answer 1

Answer:

x = 1

Step-by-step explanation:

For a quadratic function [tex]f(x)=ax^2+bx+c[/tex], the axis of symmetry is

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

This comes from using part of the Quadratic Formula for finding zeros of the function:

[tex]x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} = \frac{-b}{2a} \pm \frac{\sqrt{b^2-4ac}}{2a}[/tex]

See the -b/(2a) in the first term?  That's the x-coordinate of the vertex (turning point) of the parabolic graph of the function.  The axis of symmetry goes through the vertex.


Related Questions

The radius of a circle is 7 inches. What is the circle's circumference?

Answers

Answer:

43.98

Step-by-step explanation:

have a nice day :)

43.96 = C

2 x 3.14 x 7

HELP! THIS IS DUE TODAY, AND I WILL MARK BRAINLEST!!!!

Answers

Answer:

C

Step-by-step explanation:

Any parallel line to the Y axis is infinite/undefined. Which means no function at all.

Which is closest to the quotient 4,367 -- 0. 004?

1,000

10,000

100,000

1,000,000

Answers

Answer: 1000

Step-by-step explanation:

i took this quiz before ! !

EKA MATH²
6 M2 TD Lesson

A trainer at a gym earns $2,456.75 every month. She earns an extra $4.75 every time she sells
a gym membership. Last month, the trainer sold 32 gym memberships. What is the total amount
of money the trainer earned last month?

Answers

Answer: We know that the trainer earns $2,456.75 every month, and she earns an extra $4.75 every time she sells a gym membership.

And last month she sold 32 gym memberships

We can calculate the total amount of money the trainer earned from selling gym memberships by multiplying the number of memberships sold by the amount earned per membership:

32 memberships * $4.75 per membership = $152.00

To find the total amount of money the trainer earned last month, we can add the amount earned from selling gym memberships to the amount earned from her salary:

$2,456.75 + $152.00 = $2,608.75

So, the total amount of money the trainer earned last month is $2,608.75

Step-by-step explanation:

The Lorenz curve is used to show which of the following?

A The total income generated from all activities

B The degree of inequality in the distribution of income within a country

C The progressivity of the income tax structure within a country

D The extent of wage differences among workers in similar occupations

E The change in the poverty rate within a country over time​

Answers

Lorenz curve is a graphical representation of the distribution of income or wealth within a population. Lorenz curves, along with their derivative statistics, are widely used to measure inequality across a population.

The Lorenz curve is used to show: B The degree of inequality in the distribution of income within a country.

What is Lorenz curve?

Lorenze curve can be defined as the curve that help to show how income is share or distributed within a country.

Lorenz curve is important as it play a major role when it comes to how wealth or income should be share in a country by using a pictorial representation to show inequality in income.

Inconclusion the Lorenz curve is used to show: B The degree of inequality in the distribution of income within a country.

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ANSWER IM DESPERATE 10 POINTS EACH+BRAINLY IF CORRECT

Answers

x=2
y=0
Answer in photo below. Good luck

A dog park is being built and needs to be fenced. The dimensions of the park will be 18.5 feet by 30.25 feet. How much fencing material will be needed to fence the entire park? Disregard gates or any other complication.​

Answers

Answer:

97.5

Step-by-step explanation:

In my eyes I think we are talking about perimeter...

So then we would have to add up all the sides giving us the result.

30.25+30.25+18.5+18.5 = 97.5

And I am terribly sorry if it was incorrect I feel like i messed up on the "Disregard" part.. Anyways

Hope this helps! :)

iready which expression is equivalent to the expression shown​

Answers

Answer:

7^12

Step-by-step explanation:

When dividing two exponents by the same base, it is the same as subtracting the power (14-2).

134 minutes = __________ hours + __________ minutes

Answers

Answer:

2 hours + 14

Step-by-step explanation:

Since 1 hour = 60 min

Divide by 60 maximum it goes in 134, 2 times the excess is your minutes.

NEED HELP ASAP 50 POINTS
Rhombus ABCD has a diagonal BD¯¯¯¯¯.

m∠ADB=(4x−12)°

m∠CDB=(3x+6)°

What is the m∠ADC ?

Enter your answer in the box

º

Answers

Answer:

Angle ADC = 7x - 6°

Step-by-step explanation:

4x - 12 + 3x + 6 = 7x - 6

Answer:

120°

Step-by-step explanation:

Diagonal BD of a given rhombus is angle bisector of ∠ADC, so:

m∠ADB = m∠CDB

Substitute the values and solve for x:

4x - 12 = 3x + 64x - 3x = 6 + 12x = 18

Find the value of ∠ADC:

m∠ADC = 2(4*18 - 12) = 120°

•35 POINTS• (it’s not SAS)

1.SSS
2.ASA
3.SAA

Answers

Answer:

SAA

Step-by-step explanation:

SAA because the three triangles make an angle in the middle and have two sharing sides that are congruent.

Check image explanation below

How do you find the sides of a triangle with angles on a 45 45 90?

Answers

the given triangle A 45-45-90 triangle is a right triangle having interior angles measuring 45°, 45°, and 90° in degrees.

A 45-45-90 triangle is also an isosceles triangle, which means that its two legs are equal in length.

All 45-45-90 triangles are similar to each other.

Line segments DE and FG are perpendicular to side AB of the 45-45-90 triangle, ABC. Triangles ADE and AFG are also 45-45-90 triangles now, △ABC~△ADE~△AFG.

The ratio of the side lengths of a 45-45-90 triangle is:

                                          ratio= 1:1: √2

The legs of opposite the 45° angles (the shorter sides) are √2÷2of the length of the hypotenuse (the side opposite the 90° angle)

The hypotenuse is √2 times the length of either leg.

Since a 45-45-90 triangle is also an isosceles triangle, then, the two legs are equal on measuring. Assuming x is the length of the leg and b is the length of the hypotenuse and using the Pythagorean Theorem:

x^2 + x^2= b^2

Thus, the ratio of the side lengths of a 45-45-90 triangle are x:x:√2 or 1:1: √2 respectively.

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Caroline was thinking of a number. Caroline halves it and gets an answer of 34.7. What was
the original number?

Answers

Answer:

69.4

Step-by-step explanation:

34 + 34 = 68

.7+.7=1.4

68+1.4= 69.4

Which of the following sets of ordered pairs represents a function? {(-8,-14), (-7,-12), (-6,-10), (-5,-8)} {(-4,-14), (-9,-12), (-6,-10), (-9,-8)} {(8,-2), (9,-1), (10,2), (8,-10)} {(-8,-6), (-5,-3), (-2,0), (-2,3)}

Answers

The correct answer is   A.  {(-8,-14), (-7,-12), (-6,-10), (-5,-8)} which  sets of ordered pairs represents a function.

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

Here, we have,

sets of ordered pairs represents a function are,

{(-8,-14), (-7,-12), (-6,-10), (-5,-8)}

{(-4,-14), (-9,-12), (-6,-10), (-9,-8)}

{(8,-2), (9,-1), (10,2), (8,-10)}

{(-8,-6), (-5,-3), (-2,0), (-2,3)}

Now, we know that,

A function has no repeated values of the independent variable.

So, we have now,

Only choice A meets that requirement.

And,

B: (-9, 12) and (-9, 8) both have -9 as a first value; not a function.

C: (8, -2) and (8, -10) both have 8 as a first value; not a function.

D: (-2, 0) and (-2, 3) both have -2 as a first value; not a function.

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heeeeeeeeeeeeeeeeeeelp?

Answers

Answer:

-

Step-by-step explanation:

There needs to be more information. Where is the point at?

(a) Write down the value of xº
Given that 2-3 x 2⁹ = 2n
(b) find the value of n

Answers

From the equation (2-3 x 2⁹ = 2n), the value of n is -767.

What is the equation?

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is utilized.

The word equation and its cognates in various languages may have slightly different meanings. In mathematics, an equation is a formula that uses the equals sign to denote the equality of two expressions.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Given data :

2-3 x 2⁹ = 2n

= 2n = 2 - 3 .

= 3 .   = 1536

= 2n = 2 - 1536

= 2n = -1534

Divide both sides by 2

= 2n/2

= -1534/2

n = -767

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How do you know which inequality represents a graph?

Answers

In order to determine which inequality represents a graph, you need to look at the inequality and identify if the equation is an open or closed interval. If it is an open interval, it will be represented by a dashed line on the graph. If it is a closed interval, it will be represented by a solid line on the graph.

1. Look at the inequality and identify if the equation is an open or closed interval.

2. If it is an open interval, it will be represented by a dashed line on the graph.

3. If it is a closed interval, it will be represented by a solid line on the graph.

4. Determine the starting and ending points of the inequality, and plot them on the graph.

5. Draw the line that connects the two points, either dashed or solid, depending on whether the interval is open or closed.

6. Shade the area of the graph that is represented by the inequality.

7. Label the graph with the inequality, the points, and the shading.

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Which triangle is a translation of triangle X?

Answers

Answer:

triangle B

Step-by-step explanation:

...............

Rewrite into standard form A. 4.23 x 10^-8
B. 1.89 x 10^12
C. 6.2 x 10^-1
Pls help

Answers

the answer would be C.

what is the axis of symetery for (0,-4)

Answers

Answer:

the axis of symmetry is 0 which is x=0

Step-by-step explanation:

A sample of 12th grade students who took the National Assessment of Education Progress year 2000 mathematics test had a mean score of 250. What is the population

Answers

On solving the provided question, we can say that by mean score the population will be 20192

What is mean?

A dataset's mean is the sum of all values divided by the total number of values, often known as the arithmetic mean (as opposed to the geometric mean). Often referred to as the "mean," this is the most often used measure of central tendency. Simply dividing the dataset's total number of values by the sum of all of those values yields this result. Both raw data and data that have been combined into frequency tables can be used for calculations. Average refers to a number's average. It is straightforward to calculate:Divide by how many digits there are after adding up all the digits. the total divided by the count.

A sample of 12th grade students who took the National Assessment of Education Progress year 2000 mathematics test had a mean score of 250

200/4

= 50

50*e^{-2}

the population will be 20192

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Jonnie marker has a coupon for $1.00 off a jar of Bean dip if you buy two bags of corn chips you purchase two bags of chips for $3.99 per bag and a jar of bean dip for $2.79


Help !!

Answers

Answer:

if the question is how much did you spend in total then your answer would be $9.77, let me know if this is not the question

Step-by-step explanation:

3.99 + 3.99 + 1.79

Answer:

$9.77

Step-by-step explanation:

hope the picture explains it :)

Shelby is creating a budget for the week. At her job, she earns $15. 50 per hour. Her rent costs $300. Shelby wants to have at least $280 left over after paying rent. Which inequality shows how many hours, h, Shelby should work?

PLEASEEE ANSWERR LOL

Answers

The inequality which shows that Shelby should work for h hours is given by 15.5 h - 300 ≥ 280.

Given that,

Rent = 300 dollars

Shelby wants to have at least $280 left over after paying rent.

The total earnings of Shelby calculated in a week are given as, 15.5 h

where,

h is the number of hours

To that we have to substract the rent amount, and we'll get how much does she have left after paying rent,

15.5 h - 300

And she wants this amount to be at least 280 dollars. The inequality can therefore be expressed as follows,

15.5 h - 300 ≥ 280

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NEED HELP ASAP

PLEASE HELP, WILL GIVE BRAINLIEST

Answers

Answer:

8 1/8

Step-by-step explanation:

1st I'm going to turn these into improper fractions with a golf swing (multiply the bottom, add the top, keep denominator the same)

3 times 4 + 3 = 15, so we get 15 over 4

4 times 8 + 3 = 35, so we get 35 over 8

Next I am going to give them a common denominator. (Their least common multiple is 8)

one denominator is already 8, so we need to fix the other one by multiplying it by two (multiply both sides)

15/4 times 2/2 = 30/8

Now we add the two fractions (DO NOT ADD DENOMINATORS)

30/8 + 35/8 = 65/8

Finally to make it a mixed number, ask self, how many times does 8 go into 65? 8 times. That's the whole number. what's left over? 1. That is the numerator. The denominator stays the same.

please help me !!

literally struggling right now !!

Answers

The solution to the inequality, 2/3z > 4/5, is calculated as z > 1.2.

Multiply both sides by 3/2:
2/3z × 3/2 > 4/5 × 3/2
z > (4 × 3) / (5 × 2)
z > 12 / 10

z > 6/5
z > 1.2

A new disease has been observed, and experts believe that 1% of the population have it. A test is developed that has 95% true positive rate (it identifies 95% of people with the disease as "positive") and 1% false positive rate (it misidenfies 1% of people without the disease as "positive"). If Alice tests positive and the experts are right on the population prevalence, what is the probability that Alice has the disease (up to 2 decimal places)?

Answers

If Alice tests positive and the experts are right on the population prevalence, the probability that Alice has the disease is 0.489.

In the given question, a new disease has been observed, and experts believe that 1% of the population have it.

A test is developed that has 95% true positive rate and 1% false positive rate.

From the given data,

Let E be the event that a patient has a disease and F be the event that a patient has tested positive.

Then according to Bayes' theorem we have,

P(E/F) = P(E)P(E/F)}/(P(E)P(E/F)+P(E')P(F/E')

P(E/F) = (1*95)/(1*95)*(99*1)

P(E/F) = 95/194

P(E/F) = 0.489 (approx.)

Hence, the probability that Alice has the disease 0.489.

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Adine is parallel to y = 5x + 9 and
intersects the point (-2, -3). What is the
equation of this parallel line?

Answers

The equation of the line parallel to y = 5x + 9 which intersects the point (-2, -3).

What is a parallel line?

Parallel lines are coplanar, infinite straight lines in geometry that don't cross at any point. Planes in the same three-dimensional space that never cross each other are said to be parallel.

Curves that are parallel to one another and maintain a set minimum distance do not touch or intersect. A line and a plane that do not share a point are also referred to as being parallel in three-dimensional Euclidean space. But skew lines are used to describe two noncoplanar lines.

We know that slope of parallel line are same. Thus, slope is 5 in y = 5x + 9

Now we need to put the values in y intercept form to find out the equation

y - y1 = m(x - x1)

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

y + 3 = 5(x + 2)

y = 5x + 10 - 3

y = 5x + 7

Thus, The equation of the line parallel to y = 5x + 9 which intersects the point (-2, -3).

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Tell whether the rates are equivalent. 7 1/2 miles for every 3/4 hour 1/2 mile for every 3 minutes

Answers

Answer:

Yes, they are equivalent

Step-by-step explanation:

Tell whether the rates are equivalent.

Rate formula = Speed(miles)/Time(hour)

1)7 1/2 miles for every 3/4 hour

Hence

Rate = 7 1/2 miles ÷ 3/4 hour

= 15/2 ÷ 3/4

= 15/2 × 4/3

= 5 × 2

= 10 miles per hour

2) 1/2 mile for every 3 minutes

Time = 60 minutes = 1 hour

3 minutes = x

x = 3/60

x = 0.05 hour

Hence

Rate = 1/2 mile ÷ 0.05 hour

= 0.5 mile ÷ 0.05 hour

= 10 mile per hour

Therefore, both rates are equivalent

i’m literally incapable of math pls help

Answers

Answer:

5. It has no solution because this symbol > is greater than and it says that -1 > n>5.

-1 is not greater than 5.

Step-by-step explanation:

Have a nice day! :-)

What is another way to describe the following expression?
5 - (x + y)
A. the difference of 5 and the cube of the sum of x and y
B. the product of 5 and the sum of x and y
C. the product of 5 and the cube of the sum of x and y
D. the difference of 5 and the sum of x and y

Answers

I think the answer is
A. The difference of 5 and the cube of the sum of x and y
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