A quadratic function g(x) passes through the points (-8, 33), (2, 1), and (8, 1).

Which statement correctly describes g(x)?

1. The line x = -5 is an axis of symmetry, and the vertex is a minimum because the y-values increase as the graph moves away from that function.

2. The line x = -5 is an axis of symmetry, and the vertex is a maximum because the y-values increase as the graph moves away from that function.

3. The line x = 5 is an axis of symmetry, and the vertex is a minimum because the y-values increase as the graph moves away from that function.

4. The line x = 5 is an axis of symmetry, and the vertex is a maximum because the y-values increase as the graph moves away from that function.

Answers

Answer 1

Answer:

Correct option: 3

Step-by-step explanation:

The points (2,1) and (8,1) have the same y-coordinate, so to find the vertex of the quadratic function (where the axis of symmetry will be located), we just need to find the average of their x-coordinate:

x_vertex = (2 + 8) / 2 = 5

The points (2, 1) and (-8, 33) show that when the graph moves away from the axis of symmetry (from x = 2 to x = -8), the y value increases (from 1 to 33), so the vertex is a minimum.

Correct option: 3

Answer 2

Answer:

3

Step-by-step explanation:

I had this question and got it right on a test


Related Questions

AOC is a straight line an dab the ratio of t he angles is: AOB: BOC: =4:11 what is the size of the angle AOB?

Answers

[tex]answer \\48 \\ solution \\ let \: the \: ratios \: of \: angles \: be \: 4x \: and \: 11x \\ 4x + 11x = 180(sum \: of \: angle \: in \: straight \: line) \\ or \: 15x = 180 \\ or \: x = \frac{180}{5} \\ x = 12 \\ again \\ < aob = 4x \\ \: \: \: \: \: = 4 \times 12 \\ \: \: \: \: \: \: \: \: \: \: = 48 \\ hope \: it \: helps[/tex]

Answer:

[tex]48 \: \: degrees[/tex]

Answer B is correct

Step-by-step explanation:

We know that,

Angels in a straight line = 180°

Let's get the ratio of angles as,

[tex] 4x: 11x[/tex]

Let's solve for x now.

[tex]4x + 11 = 180 \\ 15 = 180 \\ \frac{15x}{15} = \frac{180}{15} \\ x = 12 \\ [/tex]

Angle AOB = 4x

[tex]x = 12 \\ 4x = 12 \times 4 \\ = 48[/tex]

hope this helps you.

brainliest appreciated

good luck! have a nice day!

Someone help me please! This needs to be done ASAP!

Answers

Answer:

0.15p+3=9

Lyda ordered 40 photos or p=40

Step-by-step explanation:

The formula for this is:

0.15p+3

Where p is the amount of pictures ordered.

0.15p+3=9

Subtract 3 from both sides

0.15p=6

Divide both sides by 0.15

p=40

Lyda ordered 40 photos

What is the sum?4 1/2 + 5 1/2

Answers

Answer:

10

Step-by-step explanation:

plz mark as brainliest

Answer:

10

Step-by-step explanation:

what is the sigh of 48 2/9 + (-39 8/9)
Choose 1 answer:
Positive
ON
Negative
Neither positive nor negative-the sum is zero.​

Answers

Answer:

NEGATIVE SIGH

Step-by-step explanation:

The Answer is 24

Answer:

the answer is positive

help? Give the equation of the line passing through the points (9/4,4/11) , (9/4, 7) .

Answers

Answer:

x = 9/4

Step-by-step explanation:

Since the x coordinates are the same, it is a veritcal line with x = 9/4

Which operation means "split evenly"?
addition
subtraction
multiplication
division

Answers

Answer:

Division

Step-by-step explanation:

Answer:

division

Step-by-step explanation:

when you divide you split into even groups

In triangle ABC, Aat the top of the triangle, B at 90° and C at the third end, angle C = 21°, the hypotenus = 15m,find BC = y the unknown side

Answers

Answer

Step-by-step explanation:

Law of sines: SinB/15 = SinA/BC

B = 90

A = 180-90-21=69°

BC= (15*SinA)/SinB = (15*sin69)/1 ≈ 14m

What is the solution to y = x² + 5x – 2
y = 3x - 2

Answers

Answer:

(0,-2)(-2,-8)

Step-by-step explanation:

Answer:

(0,-2) (-2,-8)

Hope this helps

The table represents a linear function.The rate change between the points (-5,10) and (-4,5) is -5 what is the rate of change between points (-3,0) and (-2,-5)

Answers

Answer:

The rate of change is "5"

which agrees with the last answer option

Step-by-step explanation:

Use the expression for the rate of change between two points on the plane:

[tex]rate\,of\,change=\frac{y_2-y_1}{x_2-x_1} \\rate\,of\,change=\frac{-5-0}{-2-(-3)}\\rate\,of\,change=\frac{-5}{1}\\rate\,of\,change=5[/tex]

Answer: is 5 I just took the test

Step-by-step explanation:

Varuns monthly income is 18000 he spends 1/5 of his income for house rent and 3/5 of his income on other expenditure how much does he save every month

Answers

Answer:

$3600

Step-by-step explanation:

Given:

Total income T = $18,000

Fraction of income spent on house rent f1 = 1/5

Fraction of income spent on other expenditures f2 = 3/5

Fraction of income saved is;

f = 1 - (1/5+3/5) = 1 - 4/5

f = 1/5

The Amount he save is A;

A = fraction saved × total amount = f × T

Substituting the values

A = 1/5 × $18,000

A = $3,600

The Amount he save is $3,600

Answer: Varun saves 3,600 every month

Step-by-step explanation: Varun's income in the first instance is fixed at 18000, and out of this amount he spends 1/5 on house rent. We shall now determine the amount represented by 1/5 as follows;

Total income = 18000

House rent = 1/5

Rent expense = 1/5 of 18000

Rent expense = 1/5 * 18000

Rent expense = 3600

he also spends 3/5 on other expenditure

Other expenditure = 3/5 of 18000

Other expenditure = 3/5 * 18000

Other expenditure = (3 * 18000)/5

Other expenditure = 54000/5

Other expenditure = 10800

His expenses therefore have been derived as

Total expenditure = 3600 + 10800

Total expenditure = 14400

His savings per month therefore is derived as;

Total income - total expenditure = savings

18000 - 14400 = savings

3600 = savings

Therefore, Varun saves 3,600 every month

The orange and blue lines represent different linear functions. Write the color of the line that describes the scenario.


When Janelle woke up, it was –3 degrees Fahrenheit outside. As the morning progressed, the temperature rose 2 degrees every hour.

Answers

Answer:

Blue

Step-by-step explanation:

I just got this question correct

Answer:

Blue

Step-by-step explanation:

Mrs. Smith’s students are trying to guess her age. She gives them 3 clues: (1) “My age is a factor of 60.” (2) “My age is a multiple of 5.” (3) “My age is more than 20 but less than 50.”
a
How old is Mrs. Smith?

Answers

30 yrs old




Explanation:

The factors of 60 are 1 and 60, 2 and 30, 3 and 20, 4 and 15, 5 and 12, and 6 and 10.

The next clue eliminates every number except 5, 10, 15, 20, 30, and 60.

5, 10, 15 are less than 20 and eliminated (60 is eliminated because it is more than 50).

20 is eliminated because it is not greater than itself and so Mrs. Smith must be 30.

Using the following image, find the midpoint of the line by completing the problems below. The midpoint is what?

Answers

Answer:

1,1

Step-by-step explanation:

just a guess

The midpoint of the line segment AB is (1, 1).

We have,

To find the midpoint of a line segment with two given endpoints, we can use the midpoint formula.

The midpoint formula states that the coordinates of the midpoint (M) between two points (x₁, y₁) and (x₂, y₂) can be calculated as:

M = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

Using the given endpoints:

A = (0, 4)

B = (2, -2)

We can substitute these values into the midpoint formula:

M = ((0 + 2) / 2, (4 + (-2)) / 2)

M = (2/2, 2/2)

M = (1, 1)

Therefore,

The midpoint of the line segment AB is (1, 1).

Learn more about midpoints of line segments here:

https://brainly.com/question/13792156

#SPJ2

Two parallel lines are crossed by a transversal. Horizontal and parallel lines p and q are cut by transversal m. At the intersection of lines p and m, the bottom left angle is b degrees. At the intersection of lines q and m, the top right angle is 128 degrees. What is the value of b?

Answers

Answer:

If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary . ... When two lines are cut by a transversal, the pairs of angles on either side of the transversal and outside the two lines are called the alternate exterior angles .

Step-by-step explanation:

hope this helps you :)

Answer:

The answer is 102

Step-by-step explanation:

Did it on edg hope this helps :)

Andrea's living room floor is a rectangle 12 feet by 15 feet. She wants to buy a rug that is geometrically similar to her living room floor. Which size of rug should she buy? *

Answers

Answer:

180 square feet

Step-by-step explanation:

A rug that is geometrically similar to her room floor is one that has the same size as her room floor.

The floor has dimensions 12 feet by 15 feet.

The area of the floor and hence, the rug is:

A = 12 * 15 = 180 square feet

She should buy a rug that is 180 square feet

For lunch, Jack ate 1/4 of a pizza, which was twice as much as John ate. If Timmy ate 1/6 of a pizza more than the amount that Jack and John ate combined, then what fraction of a pizza did Timmy eat?

Answers

Answer:

Timmy ate 13/24 of the pizza.

Step-by-step explanation:

To solve this problem, first you need to know how much pizza Jack and John ate. We know that Jack ate 1/4 of the pizza, and that John ate half of that, so we know that John ate 1/8 of the pizza. Together, Jack and John ate (1/4 + 1/8), which equals 3/8 of a pizza. Next, we need to find how much of the pizza Timmy ate. We know that he has eaten 1/6 more of the pizza than Jack and John combined, so that would be 1/6 more than 3/8. To add 1/6 to 3/8, we need to have a common denominator. The lowest common denominator would be 24, so you would have 4/24 + 9/24. That equals 13/24, so we know that Timmy ate 13/24 of the pizza.

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

Each pendant = 3.60

Step-by-step explanation:

3 necklaces made of beads and pendants

The total is 20.10

20.10 = 3( beads + pendant)

Distribute

20.10 = 3 beads + 3 pendant

The total for the beads is 9.30

Replace the 3 beads  with 9.30

20.10 = 9.30+ 3 pendant

Subtract 9.30 from each side

20.10-9.30 = 9.30+ 3 pendant - 9.30

10.80 = 3 pendant

Divide each side by 3

10.80/3 = 3 pendant/3

3.60 = pendant

can someone answer number 11 and show the work? I need it bad, please .

Answers

Answer: 8

Evaluating the function for x = -1

[tex]f(x)=x^2+7\\f(-1)= (-1)^2+7\\f(-1)=8[/tex]

Please help me

What is the sum of the series?
Enter your answer in the box.

Answers

Answer:

the sum of the series is 365 is my answer

2
Ali's mass is 46.2 kg
Raj's mass is 35.6 kg
What is their total mass?​

Answers

Answer:

81.8 kg

Step-by-step explanation:

To find the total mass you have to add both of their mass

46.2 kg+35.6 kg= 81.8 kg

Their total mass is 81.8 kg #

solve the question 2 (3x plus 5) Square - 16 = 0 buy completing the square​

Answers

Answer:

1/3(4√2/2- 5)

-1/3(4√2/2 + 5)

Step-by-step explanation:

2(3x+5)² -16=0

2(3x+5)²=16

(3x+5)² = 4²/2

3x+5= 4/√2 ⇒ 3x= 4/√2- 5 ⇒ x= 1/3(4√2/2- 5)

3x+5= -4√2 ⇒ x= -1/3(4√2/2 + 5)


[tex] {x}^{2} - 4x = 21[/tex]
what are the x intercepts?

Answers

Answer:

x² - 4x = 21

x² - 4x - 21 = 0

x² - 7x + 3x - 21 = 0

x( x - 7 ) + 3 ( x - 7 ) = 0

( x + 3 ) ( x - 7 ) = 0

x + 3 = 0 and x - 7 = 0

x = -3 and x = 7

Pentagon A B C D E is reflected across the line of reflection m to pentagon A prime B prime C prime D prime E prime. Pentagon A prime B prime C prime D prime E prime is rotated about point C prime 180 degrees clockwise. Which rule describes the composition of transformations that maps figure ABCDE to figure A"B"C'D"E"? 90 degree rotation about point C prime composition reflected across line m Reflected across line m composition 90 degree rotation about point C prime 180 degree rotation about point C prime composition reflected across line m Reflected across line m composition 180 degree rotation about point C prim

Answers

Answer: It’s C i got it right on the test

Step-by-step explanation:

RC’ ,180 o r m

Answer:

It's C I got a 100 on the test

Step-by-step explanation:

A and B have to be wrong because there is no 90° rotation and D isn't right because it's backwards

Classify the following triangle. Check all that apply.

Answers

Answer:

Right, Scalene (D and E)

Step-by-step explanation:

One side of the triangle contains a right angle, therefore it is a right triangle

the three sides are all different lengths from each other, making it scalene

Answer:

D. Right

E. Scalene

Step-by-step explanation:

Definitions

Acute: A triangle whose angle measure are all acute angles.

Equilateral: A triangle with all the same side lengths and angle measures.

Obtuse:  A triangle with one obtuse angle and two acute angles.

Right: A triangle who has a right angle and two acute angles.

Scalene: A triangle whose sides are all different lengths

Isosceles: A triangle who has 2 sides the same length and the other different.

Our triangle fits the descriptions of the right triangle and scalene triangle.

URGENT!!!!! LAST TWO QUESTIONS!!!!!!! WILL GIVE BRANLIEST!!!AT LEAST TAKE A LOOK!!!!!! PLS HELP!!! 1. A cartographer wants to create a map of Seattle. He has designed a key/legend for the map indicating that 1 cm equals 2 miles. If the distance between Woodland Park Zoo and the Seattle Aquarium is 5.2 miles, how long is the distance going to be on the map? A) 2.6 cm B) 8.2 cm C) 6 cm D) 10.4 cm 5. What similarity property, if any, can be used to show that the following two triangles are similar. A) SAS B) SSS C) AA D) Not enough information given

Answers

Answer:

1. 5.2 / 2 = 2.6 cm

2. Since 2 angles are congruent the answer is AA.

If point B is reflected across the y axis, what are the coordinates of the new point?
(-3,2)
(-2,-3)
(-2,3)
(3,-2)

Answers

Answer: (3,-2)

Step-by-step explanation: We're reflecting to the y-axis, thus, we're going to reflect to the right.

(-x,-y) ⇒ (x,-y)

Our current coordinate is (-3,-2)...let's convert it now...

(3,-2)

I hope this helps!

Answer:

(3, -2).

Step-by-step explanation:

When you reflect across the y axis the y coordinate stays the same and the x axis changes sign : (x, y) --> (-x, y).

So B (-3, -2) --> (3, -2).

16+12x-5x+4y-7 Simply the expression

Answers

Answer:

Combing like terms we get 7x + 4y + 9.

I tried doing it step by step hope it helps.

The 102nd floor of the sears tower in Chicago is the highest occupied floor. It is 1,431 feet above the ground . How many yards above the ground is the 102nd floor

Answers

Answer:

477 yards

Step-by-step explanation:

1 foot to a yard is 0.333333.

1431 times 0.333333=477yards

If the points A(x,2), B(-3, -4) and C(7, -5) are collinear, then find the value of x

Answers

Answer:

x = -63

Step-by-step explanation:

If the points A(x,2), B(-3, -4), and C(7, -5) are collinear, the line that passes B and C, also passes A.

The line passes B and C has the form of y = ax + b

=> -4  = a(-3) + b

    -5  = a(7) + b

=> Subtraction 1st equation from 2nd equation, we have:

    -1 = 10a

=> a = -1/10

=> b = -4 + 3(-1/0) = -43/10

=> This line has form of y = (-1/10)x -43/10

This line passes A(x, 2)

=> 2 = (-1/10)x - 43/10

=> 2 + 43/10 = (-1/10)x

=> 63/10 = (-1/10)x

=> x = -63

Hope this helps!

Which relationships about the interior and exterior
angles are true? Check all that apply.
aº + bº + c = 180°
xº + a = 180°
aº = cº
aº + c = 90°
X+ a = bº + c

Answers

Answer:

only A and B are correct

Step-by-step explanation:

all angles in a triangle will always add up to 180

all adjacent angles on a straight line will always add up to 180

Answer:

A and B are correct.

Step-by-step explanation:

This is what I got on EDG

I hope this helps!!!!

Other Questions
What is the value of n?1339n142"A. 470B. 810C 389D. 850 What is ? dans un conte de fes," Complete each sentence by dragging the proper word or phrase into the appropriate position. Then place each sentence in order from the largest to the smallest cavity size being described Drag the text blocks below into their correct order. 1. The________ are found deep in the diaphyses of long medullary cavities bones and are filled with yellow marrow in the adult. 2. Osteocytes maintain contact with neighboring osteocytes in adjacent lamellae via dendrite-like extensions through __________ 3. Filled with matrix, , which are osteoblasts encased in perforating canals are found between layers of concentric lamellae nutrient foramen 4. Located in the middle of osteons, the contain the osteocytes blood vessels, and nervous supply of the compact bones. osteons lacunaecentral canalscanaliculi What theme common to the age of reason is evident in this excerpt from the Declaration of Independence?We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty and the pursuit of Happiness.--That to secure these rights, Governments are instituted among Men, deriving their just powers from the consent of the governed, --That whenever any Form of Government becomes destructive of these ends, it is the Right of the People to alter or to abolish it, and to institute new Government, laying its foundation on such principles and organizing its powers in such form, as to them shall seem most likely to effect their Safety and Happiness. Prudence, indeed, will dictate that Governments long established should not be changed for light and transient causes; . . .Select the best answer from the choice provided.A. public safetyB. equal rightsC. failure of monarchiesD. benefits of aristocracy In a sequence, the first term is 4 and the commondifference is 3. The fifth term of this sequence is1) -112) -83) 164) 19 Evaluate f(a) = 6a2 - 38a + 4 for a = 6. What were the causes and consequences of the Peasants Revolt (1381)? Why do people protest now? Why were merchants considered the lowest class in the Medieval Japanese hierarchy? What is the length of BC in the right triangle below? 1.How did an expanding Chinese society arise from diverse local traditions? HELP MARK AS BRAINLIST You consider buying a share of stock at a price of $21. The stock is expected to pay a dividend of $2.04 next year, and your advisory service tells you that you can expect to sell the stock in 1 year for $24. The stock's beta is 1.2, rf is 8%, and E[rm] = 16%. What is the stock's abnormal return?A. 1% B. 2% C. -1% D. -2% E. None of the above Martin was given this expression to simplify: 23x + xy y + 3y + 5 20x + 6xy He simplified the expression to: 43x + 7xy 3y What were Martins errors? Check all that apply. The combined coefficients of the x terms should be 3x, not 43x. The 7xy should be 7xy. The coefficients of the y terms have been multiplied. When you combine like terms, you add or subtract the coefficients. The constant was left off. The terms xy and 6xy are not like terms because there are two variables. TRUE OR FALSE?Picture below Which sentence is punctuated Simplify the given expression. Assume x doesnt = 0. (20x^-3/10x^-1)^-2X^4/2X^4/4X^2/4 Help please! Will give brainly! Explain how the equation y=x^2 differs from the equation y=x (Hint: plug in z= 1, 2, 3, 4, 5, and explain how the answers differ.) A bond with a 7-year duration is worth $1,079, and its yield to maturity is 7.9%. If the yield to maturity falls to 7.75%, you would predict that the new value of the bond will be approximately:_____________. anyone can help me figure this out ? what was cause of early migration of north america?