3. What is the axis of symmetry of the graph of function f(x) = x² - 6x – 1

Answers

Answer 1

Answer:

guihnijiop;kl;lkm

Step-by-step explanation:

Answer 2

Answer:

A parabola has an axis of symmetry at x = 3 if the x-value of the vertex is 3.

f(x) = x^2 + 3x + 1 = x^2 + 3x + 9/4 - 5/4 = (x + 3/2)^2 - 5/4 => vertex = (-3/2, -5/4)

f(x) = x^2 - 3x - 3 = x^2 - 3x + 9/4 - 21/4 = (x - 3/2)^2 - 21/4 => vertex = (3/2, -21/4)

f(x) = x^2 + 6x + 3 = x^2 + 6x + 9 - 6 = (x + 3)^2 - 6 => vertex = (-3, -6)

f(x) = x^2 - 6x - 1 = x^2 - 6x + 9 - 10 = (x - 3)^2 - 10 => vertex = (3, -10)

Therefore, f(x) = x^2 - 6x - 1 has an axis of symmetry at x = 3.

Step-by-step explanation:

plz mark me as brainlist


Related Questions

Find the surface area.

Answers

Answer:

1120

Step-by-step explanation:

area of triangle= 1/2★base★height

area of traingle =1/2★15★8=60

area of 2 triangle= 60+60=120

area of base rectangle= length ★breath

=15★25=375

area of slanting rectangle= 25★17=425

area of side rectangle=8★25=200

so total area= 120+375+425+200=1120

Which set of ordered pairs represents a function?
A {(22, 5), (23, 10), (22, 7), (23, 5)}
B {(22, 5), (26, 10), (23, 7), (23, 5)}
C {(22, 10), (23, 10), (24, 7), (25, 5)}
D {(24, 10), (23, 6), (22, 7), (24, 5)

Answers

Answer:

D

Step-by-step explanation:

the company is it a big company with you in my neighborhood that is a lot more expensive and more expensive to

I need help with the answer.

On a school field trip, there will be one adult for every 12 students. Which equation could be used to find “a”, the number of adults, if “s”, the number of students, is unknown?

a) a= 12s
b) a= 12/s
c) a= s/12
d) s + 12

please please please help!

Answers

Answer:

a) a = 12s

Step-by-step explaination:

Please help no link please help no links

Answers

Because the length is 6 and it is a cube the volume of one of the cubes is 6^3 or 216. Because there are two it is 216 * 2 which is 432 cm cubed as the total volume.

PLEASE ANSWER THIS QUESTION

(WARNING : I ASK YOU GUYS FOR THE LAST TIME, I CAN'T DOWNLOAD ANYTHING BECAUSE MY COMPUTER IS WEIRD SO PLEASE DON'T TELL ME TO DOWNLOAD THE ANSWER AND JUST GIVE ME THE ANSWER PLEASE)

Answers

the answer is 135 cubes.

help please ! order the side lengths GH , HI , IG from least to greatest

Answers

Answer:

IH < IG < HG

Step-by-step explanation:

To solve this equation remember that angle measurements correspond with sides. So, the largest angle will be opposite of the longest side and the smallest angle will be opposite of the shortest side.

First, you need to find m<I; do this by subtracting 52 and 45 from 180. This means that m<I=83, making it the largest angle. Therefore, the angles, in order of least to greatest, are <G, <H, <I. So, to find the final answer, find the sides opposite of each of the angles. This means the answer is IH < IG < HG.

Math 3rd grade can anyone explain why is 48 ?? I thought that we need to plus 6 top 6 bottom and each side is 8 why 8 because 6+2 is 8
So 6+6+8+8 = 24

Answers

Answer:

It's 48

Step-by-step explanation:

The entire area of the rectangle would be length times width

The width is six, and the length is 8

6 times 8 is 48

btw, its asking for area

Answer:

See, its divided into TWO squares/rectangles.

you have to solve with the numbers you have on each one.

so, for the covered in shade one, you do 6 times 2, which is 12.

for the "not covered" you need to find the second number for the square. Since it has equal sides, the other side will be 6.

for that one you do 6 times 6 which is 36.

now you add both of them.

36 + 12= 48.

You added them, you need to multiply them but do not mix both rectangles/ squares numbers  until the end

What statement best describes a trapezoid? *
1 point
a. All sides are equal and opposite sides are parallel
b. Exactly one pair of parallel lines
c. Has 2 sets of parallel lines and four 90 degree angles
d. Has 2 equal sides and 3 acute angles

Answers

Answer:b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

because it has two parallel side and and other are just lines but being quadrilateral its sum is 360

ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !

Answers

Answer:

Step-by-step explanation:

1. 0.5
2. 14
3. 8
4. 10

Answers

Answer:

The awnser is 14

Step-by-step explanation:

If you multiply length x width then divide u get 14

Question
Use the Quotient Rule of Logarithms to write an expanded expression equivalent to ln(2/7).Make sure to use parenthesis
around your logarithm functions log(x + y).
Provide your answer below:

Answers

Answer:

ln(2) - ln(7)

Step-by-step explanation:

Logarithmic expressions are represented using ln or log keywords

The expanded expression of ln(2/7) is [tex]\mathbf{ln(2) - ln(7)}[/tex]

The expression is given as:

[tex]\mathbf{ln(2/7)}[/tex]

The quotient rule of logarithm states that:

[tex]\mathbf{ln(a/b) = ln(a) - ln(b)}[/tex]

So, by comparison:

a = 2, and b = 7

So, we have:

[tex]\mathbf{ln(2/7) = ln(2) - ln(7)}[/tex]

Hence, the expanded expression of ln(2/7) is [tex]\mathbf{ln(2) - ln(7)}[/tex]

Read more about logarithms at:

https://brainly.com/question/9665281

Census data from a city of 80,000 residents produced the income distribution shown here:
110
60
Income (thousand dollars)
Suppose that we were to take random samples of 5 residents from this population and calculate the sample
mean income of the residents in each sample.
What will be the shape of the sampling distribution of the sample mean?

Answers

Answer:

Skewed to the right

Look at dis \/

The shape of the sampling distribution of the sample mean will match the shape of the parent population since the sample size is small (n=5<30), although it will be closer to normal than the parent population is.

----------------------------------------------------------------------------------------------------------

----------------------------------------------------------------------------------------------------------

----------------------------------------------------------------------------------------------------------

----------------------------------------------------------------------------------------------------------

----------------------------------------------------------------------------------------------------------

----------------------------------------------------------------------------------------------------------

----------------------------------------------------------------------------------------------------------

--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

whats going on ;)

Use a calculator to find the natural logarithm, base e.

In 744.1

Answers

Answer:

6.612175434403215

Step-by-step explanation:

This one is quite easy to solve, depending on your calculator click shift over the log function and then natural log will pull up and then you just put in 744.1

Adam bought 6 yogurt cups for $8. Which of the following represents a higher unit rate than what Adam paid?

a. 4 yogurt cups for $6
b. 8 yogurt cups for $10
c. 10 yogurt cups for $12
d. 12 yogurt cups for $14​

Answers

Answer:

A, 4 yougurt cups for $6

Step-by-step explanation:

The reason I did the math myself. Sorry if its incorrect.

Speed equals distance multiplied by time. *
A: True
B: False

Answers

True because I learned it literally right now
A: True

spear does equal distance multiplied by time

The distance between City A and City B is 500 miles. A length of 1.7 feet represents this distance on
a certain wall map. City C and City D are 2.72 feet apart on this map. What is the actual distance
between City C and City D?
The actual distance between City C and City Dis miles.

Answers

Answer:

799.99999 or 800 miles.

Step-by-step explanation:

You first need to find the conversion rate, so you divide 500 by the number representing it on the map, that being 1.7 feet. Once you've done this, you will get a conversion rate of 294. Now that you have the conversion rate, you multiply your second number, 2.72. This will give you your answer of 799.68 miles, which can be rounded up to 800 miles.

4/12×1/8 in simplest form​

Answers

Answer:

[tex]\frac{1}{24}[/tex]

Step-by-step explanation:

[tex]\frac{4}{12} *\frac{1}{8} =\frac{1}{24}[/tex]

Experts believe the rate of obesity (defined as having a BMI greater than 30) of adults in the United States is approximately 24.5%. A Gallup poll examined the rate of obesity in adults in the United States with a survey of 86,664 randomly sampled U.S. adults. Of the adults surveyed, 23,053 said that they were obese. The shape of the sampling distribution for the sample proportion when taking samples of size 86,664 from this population follows a ____________ distribution.

Answers

Answer:

Normal distribution.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question:

Samples larger than 30, which means that the sampling distribution for the sample proportion follows a normal distribution.

The data in a data set are normally distributed with a mean of 170 and a standard deviation of 20. Estimate the percent of the data that are less than 150 or greater than 190.​

Answers

Using the normal distribution, we find that 32% of the data that is less than 150 or greater than 190.​

----------------------------

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

----------------------------

The data in a data set are normally distributed with a mean of 170 and a standard deviation of 20.

This means that [tex]\mu = 170, \sigma = 20[/tex]

----------------------------

Less than 150:

As a proportion, it is the p-value of Z when X = 150, so:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{150 - 170}{20}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a p-value of 0.16.

0.16x100% = 16%

----------------------------

More than 190:

As a proportion, it is 1 subtracted by the p-value of Z when X = 190, so:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{190 - 170}{20}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a p-value of 0.84.

1 - 0.84 = 0.16

0.16x100% = 16%

----------------------------

Estimate the percent of the data that are less than 150 or greater than 190.​

We add both percentages, thus:

16% + 16% = 32%

32% of the data that is less than 150 or greater than 190.​

A similar question is given at https://brainly.com/question/14694610

Professor Gym conducts a study in which he determines that there is a correlation of​ +1.32 with 15 degrees of freedom between the speed of a dodge ball and the welt inflicted on the arm of the dodge ballers. He has now come to you for help with interpreting his results. What can you tell​ him?

Answers

Answer:

Formula

r =\frac{\sum\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum\left(x_{i}-\bar{x}\right)^{2} \sum\left(y_{i}-\bar{y}\right)^{2}}}

r = correlation coefficient

x_{i} = values of the x-variable in a sample

\bar{x} = mean of the values of the x-variable

y_{i} = values of the y-variable in a sample

\bar{y} = mean of the values of the y-variable

now try btw use a calcutator

If x = 2, then which of the following equations makes a TRUE statement?
a.4x + 9 = 20
b.-4x + 5 = -3
c.-3x + 15 = 21
d.5x – 15 = 5

Answers

B becasue -4x2=-8 then you do -8+5=8-5=3 then you look at the bigger number which is -8 so then the answer takes the bigger numbers integer weather is a positive or negative so your answer would be -3

Answer:

Answer is B

Step-by-step explanation: −4x + 5= −3

1. Subtract 5 from both sides −4x +5 −5 = −3 −5

2. You remain with this  −4x = −8

3. Divide both side by -4. -4x/-4 = -8/-4

4. Answer will be x = 2

A rectangular billboard for a high school is 10 feet high and 20 feet long. In a scale model of the school, the billboard is 3.5 inches long.
How many inches tall is the scale model? ​

Answers

Answer:

I think 1.75

Step-by-step explanation:

the long side is two times the amount of the tall side so take the smaller long side and divide by two.

answer this please!!!

Answers

Answer:

yes. It's a right triangle.

Step-by-step explanation:

According to the Pythagoras theorem,

a² + b² = c²

20² + 21² = 29²

400 + 441 = 841

841 = 841

LHS = RHS

Help please!!
Brainliest if right

Answers

Answer:

top and bottom

Step-by-step explanation:

A dealer buys articles for R7500 and makes the price 30% higher.
What is the selling price of the articles?​

Answers

Answer:

9750

Step-by-step explanation:

profit amount = 30% of R 7500

= 30/100 *R 7500

= 2250

now

sp = R 7500 + R 2250

= R 9750

What is the total area of the figure shown?
A)80ft2

B)74ft2

C)56ft2

D)42ft2

Answers

Answer:

B 74

Step-by-step explanation:

Please answer soon!!!

Answers

You can multiply the base times the height

The hypotenuse of a 30°-60°-90° triangle is 6.
A. Find the lengths of the two legs of the triangle.
B. Find the perimeter.

Answers

Answer:

H=6 sin 30=3cm

Step-by-step explanation:

3²+x²=6²

X²=36-9

√x²= 27

X=5.1962

Per=6+5.1962+3= 15.1962cm

use the graph to answer the question giving brainlest​

Answers

Answer:

I only know two sorry

A. -6

B.

C. Increasing

D.

E.

PLS HELP answer all and the pictures, label them as the first 3, and the second one 4
1. Identify the solid by its description:
One triangular base and three lateral faces that are triangles
2. Identify the solid by its description:
Two parallel rectangular bases and four lateral faces that are rectangles

Answers

Answer:

Is a rectangular polygon because it has sides which are rectangleIt a polygon cone or a polygon pyramid because it has a base of a polygon
Other Questions
Write and solve an equation to find the missing dimension of the figure. (WILL GIVE BRAINLYSSS) Teachers, managers, secretaries, andsales people are known as what typeof workers?A. Blue collar workersB. White collar workersC. Manufacturing workers Alright Im not smart please help Describe the daily life of a farmer during the months ofsummer during the wet monsoon. dba algebra 2 module 2 flvs what's on it find the surface area to the nearest tenth Susan knows that the coordinates of the center of a circle and a point on the circle are (-3, 2) and (10, -2), but she can't remember which coordinate pair is which. What could be an equation of the circle? Explain your answer. is it good to have conflict between friendship and love? with the reason or explanation HELPPPP PLZ BEST ANSWER GET BRAINLIEST Which of the following statements is true?After World War II, Europeans founded more colonies in Africa.After World War II, European colonial empires began to grow.After World War II, European colonial empires began to break up.After World War II, Europes colonies started the United Nations. Help meee plzzz?!Answer the questions in first person of Genghis Khan1. What steps did you take to expand the Mongol Empire?2. What were some of your significant contributions?3. If I were to ask a person what life was like during your rule, what would he or she say?4. What were the reasons for the decline of the Mongol Empire? Which figure can be formed from the net? What is the volume of this sphere? Use a ~ 3.14 and round your answer to the nearest hundredth. 20 mm Aqueous solutions containing approximately 3 percent(w/w) H2O2 are sold in drug stores as a disinfectant. Determination of the actual concentration of H2O2 in a bottle of peroxide solution was done by diluting 1.50 mL to 100 mL with water, acidifying with dilute H2SO4 and titrating with a 0.01411 M KMnO4 solution. 32.17 mL of the permangate solution was needed to reach the end point of the titration. What is the actual molar concentration of the H2O2 solution] Which of the following BEST describes the cause of World War I?a. European nations competed for land, trade, and military power.b. European and Asian nations fought for control over landc. European and American nations fought over control over the seasd. European nations competed over advanced weaponry Given the arithmetic sequence of -21,-6,9,24,... , find an explicit rule for the nth term ____ + g g = khelp TRUE OR FALSE Prokaryotic cells cant replicate DNA, because they do NOT possess nuclei. 3. The angle between two equal sides of an isosceles triangle is 52.Each of the equal sides is 18 cm long.a) Determine the measures of the two equal angles in the triangle.b) Determine the length of the third side.c) Determine the perimeter of the triangle. How many integers between 0 and 500:1. Have distinct digits?2. Are divisible by 3?3. Are divisible by 3 or 5?4. Are divisible by either 3 or 5, but not both?5. Are divisible by 3, but not 5?Pls help asap!!