the vertex of this parabola is at (-2 -3). When the y value is -2, the x value is -5. What is the coefficient of the squared term in the parabolas equation.

Answers

Answer 1

Answer:

1/9

Step-by-step explanation:

The vertex form is

y =a(x-h)^2 +k where (h,k) is the vertex

The vertex is (-2,-3)

y =a(x--2)^2 +-3

y =a(x+2)^2 -3

Substitute the point into the equation

-2 = a(-5+2)^2 -3

-2=a(-3)^2-3

Add 3 to each side

-2+3 = a(9)

1 = 9a

1/9 =a

y =1/9(x+2)^2 -3

The coefficient of the x^2 is 1/9

Answer 2

Answer:

[tex]\frac{1}{9}[/tex]

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (- 2, - 3) , then

y = a(x + 2)² - 3

To find a substitute (- 5, - 2 ) into the equation

- 2 = a(- 5 + 3)² - 3 ( add 3 to both sides )

1 = a(- 3)² = 9a ( divide both sides by 9 )

[tex]\frac{1}{9}[/tex] = a

y = [tex]\frac{1}{9}[/tex] (x + 2)² - 3

The coefficient of the x² term is therefore [tex]\frac{1}{9}[/tex]


Related Questions

A function f() is graphed on the coordinate plane.
What is the function rule in slope-intercept form?
Enter your answer in the box

Answers

Answer:

i dont know but some one will help freeee points

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Right Triangle ABC has sides of length 5 units, 12 units and 13 units. The triangle is dilated by a scale factor of 3 around point B. What is the area of triangle A'B'C'?

Answers

Answer:

Step-by-step explanation:

Multiply each # by 3 so 15 36 39

(15x36)/2=270

I'm sorry if its wrong.

The area of the right-angle triangle A'B'C' will be 450 square units.

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

Right Triangle ABC has sides of length 5 units, 12 units, and 13 units. The triangle is expanded by a scale element of 3 around point B.

Then the dimension of the right triangle is given as,

A'B' = 3 x 5 = 15 units

B'C' = 12 x 5 = 60 units

A'C' = 13 x 5 = 65 units

The area of the right-angle triangle A'B'C' will be given as,

A = (1/2) x 15 x 60

A = 15 x 30

A = 450 square units

The region of the right-point triangle A'B'C' will be 450 square units.

More about the dilation link is given below.

https://brainly.com/question/2856466

#SPJ2

What is the answer for 3x-7y=4 solve for y

Answers

y = [tex]\frac{4-3x}{7}[/tex]

Answer:

[tex]y = \frac{ - 4 + 3x}{7} [/tex]

Step-by-step explanation:

follow the steps in the previous answer, but

negative divided by a negative is positive

how many lines of symmetry does the figure have?

Answers

Answer:

Step-by-step explanation:

2

t - 2 2/3 = - 5/2
A. 1/6
B. -1/6
C. 4 1/3
D. -4 1/3

Answers

Ok done. Thank to me :>
the answer is a) 1/6

if f(x)=2x^2-1, then f(-3)=

Answers

Answer:

f(-3) =17

Step-by-step explanation:

f(x)=2x^2-1

Let x = -3

f(-3)=2(-3)^2-1

     = 2(9) -1

     = 18-1

     17

Find each percent increase round to the nearest percent from 86 books to 140 books

Answers

Answer: 61%

Step-by-step explanation:

Will mark brainliest

Answers

Answer:

Quadrant 2 (-2,1)

Step-by-step explanation:

Answer:

you anwser would be quadrant 3 please mark brainliest

Step-by-step explanation:

negate the following statements.​

Answers

I will not go to school tomorrow
The earth is not the center of the solar system
Angle A and angle B are not congruent
The money you gave me was not enough
She is enjoying her time
I did bring the key

I hope this helps.

1. Each of 9 friends chooses her favorite positive integer

a. The median of the chosen number is 91, what is the smallest the average of the 9 chosen numbers could be?

b. The median of the chosen number is 91, is there an limit to how large the aerge of the chosen numbers can be? If so, what is the largest the average can be?

c. The average of the chosen number is 91, what is the smallest the median of the 9 chosen numbers could be?

d. The average of the chosen numbers is 91. What is the largest the median of the chosen numbers could be?

Answers

Answer:

a) 1

b) There is no limit to which the largest number can be because we are only given information about the median.

c) 1

d) 90

Mathematic 18 don’t understand

Answers

Answer:

8 x 10¹³ is your answers hopes it's helpful to you

it takes a 1/4 bottle glue to make slime if teacher has 15 bottles of glue how many bottles of slime can the 5th graders make

Answers

Answer:

60students

Step-by-step explanation: 4 x 15=60

This is because each bottle can make 4 slimes and if there are 15 bottles you multiply 4 by 15. Now you will receive 60.

Find the area of ΔABC.
A)21.93
B) 37.20
C) 29.77
D) 18.6

Answers

Answer:

Option D is correct

Step-by-step explanation:

First, let's find side BC by using Pythagoras theorem.

Given:

Hypotenuse = 9 unitsSide 1: 7.8 unitsSide 2: BC

=> 9² = 7.8² + x²

=> 81 = 60.84 + BC²

=> BC² = 20.16

=> √BC² = √20.16

=> BC = √20.16

=> BC = 4.48998886413 (Using calculator)

=> BC ≈ 4.49 (Estimated)

Therefore, side BC ≈ 4.49 units. Now, let's find the area by using hero's formula.

=> 1/2(Perimeter) = S

=> Perimeter: Hypotenuse + Side 1 + Side 2

=> 7.8 + 9 + 4.49

=> 21.29 = Perimeter

=> 1/2(21.29) = S

=> 10.645 = S

=> √s(s - a)(s - b)(s - c) = Area of triangle

=> √10.645(10.645 - 9)(10.645 - 4.49)(10.645 - 7.8)

=> √10.645(1.645)(6.155)(2.845)

=> √10.645 x 1.645 x 6.155 x 2.845

=> √306.635120999 (Using calculator)

=> √306.64 (Estimated)

=> 17.5111393119 (Using Calculator)

=> 17.51 units² (Estimated)

We can see that option D is the closest option. Therefore, Option D is correct.

If Option D was incorrect, then my second opinion is A.

If both are wrong, I deeply apologize for the inconvenience caused by me. Hoped this helped.

Answer:

answer is d) 18.6

Step-by-step explanation:

area = 1/2ab sin ∅

a= 9

b = 7.8

so it's

1/2 ×7.8 × 9 sin 32

use your calculator to get 18.600 unit squared

*we can also use the heroes formula*...

what would the equation be??​

Answers

Answer:

y = 4x + 8

Step-by-step explanation:

Firstly, choose 2 points ( I chose [2,11] and [4,19] ) use y2-y1/x2-x1 to find your slope of 4, next use one of the points to find your y-intercept, plug the two coordinates into your equation to get 11 = 4 (2) + b , after simplifying, your answer is y = 4x + 8

Brainliest would be appreciated. :-)

what is the slope of the line on the graph​

Answers

Answer:

5

Step-by-step explanation:

Find the area of the shape

Answers

Answer:

400 [tex]ft^{2}[/tex] (Don't forget the square symbol!)

Step-by-step explanation:

For the triangle:

Base times height divided by 2.

8 x 25 = 200

200/2 = 100

For the regtangle:

Width times height.

25 x 12 = 300

Add them together, and you get:

100 + 300 = 400.

Answer:300

Step-by-step explanation:25*12=300

25

x12

50

250+50=300

A plumber charges a $25 flat rate. If he works for 6 hours, how much does he charge per hour if the total is $67?

Answers

Answer:7

Step-by-step explanation:(67-25) divided by 6

mark as brainliest

Subtract the flat rate from the total first:

67-25 = 42

Now divide that by total hours:

42/6 = 7

Answer: $7 per hour

Order the following numbers from least to greatest:
30% 3% 0.003 1/300 1.3 30,000/100 30

Answers

Step-by-step explanation:

30%=0.3

3%=0.03

1/300=0.003333

30000/100=300

Therefore the order is:

0.003;1/300;3%, 30%;1.3;30;30000/100

Answer:

Step-by-step explanation:

30%=0.3

3%=0.03

1/300=0.003333

30000/100=300

Therefore the order is:

0.003;1/300;3%, 30%;1.3;30;30000/100

Question is on the pic!

Answers

Answer:

C

Step-by-step explanation:

C has 2 negative 2's on it, and 2 numbers on the x side cannot be the same.

Answer:

C

Step-by-step explanation:

If your x Collum has more than one of the same numbers so in this case -2 is there twice it's not a function

X       1        1             2                   3      4

________________________________________________________      

Y      0       3              4              2           6  

this would not be a function because the one is at two different heights.

if you think of every number as a person and the y axis as height. two different people can be the same height but one person cannot be two different heights at the same time. if it's on a graph use the vertical line test take a vertical edge of a paper and run it across the graph if the edge of paper goes through more than one point it's not a function

Sally earns commission for selling cars at the Nissan dealership. She earns 5.5% on
every car she sells. Last month, she sold 7 cars for a total of $160,000. What was
Sally's commission last month?

Answers

Answer:

8800

Step-by-step explanation:

given the function f(x)=-2x^4-16x^3-36x^2, determine all intervals on which f is both decreasing and concave down

Answers

Answer:

  (0, ∞)

Step-by-step explanation:

The only maximum, local or otherwise, is at x=0. Since the leading coefficient is negative, the function is decreasing and concave down for x-values greater than 0.

  0 < x < ∞ . . . . . decreasing and concave down

__

Since the leading coefficient of this even-degree function is negative, it will have a generally ∩ shape. It will be decreasing to the right of any local maximum.

The first derivative is negative only for x > 0, so that is the only region where the function is decreasing. Since that x=0 is a local maximum, the function must be concave downward in that neighborhood.

__

The attached graph shows the function and its first and second derivatives. The function is concave down where the second derivative is negative, to the right of the right-most point of inflection.

_____

Additional comment

A graphing calculator provides a quick answer to a question like this. You can find the same answer algebraically.

The first derivative is ...

  f'(x) = -8x^3 -48x^2 -72x = -8x(x^2 +6x +9) = -8x(x+3)^2

This has a zero at x=-3 where the graph of it touches the x-axis, but does not change sign. That means f(x) has a flat spot at x=-3, but is not decreasing except to the right of x=0.

The second derivative is ...

  f''(x) = -24x^2 -96x -72 = -24(x^2 +4x +3) = -24(x +1)(x +3)

The second derivative will be negative for x < -3 and x > -1, to the left and right of the points of inflection. This means f(x) is concave upward only for -3 < x < -1, and concave downward everywhere else.

The function is concave downward and decreasing for x > 0.

Sheri is making 4 pounds of mixed nuts. She will use One-third the amount of macadamia nuts as she does almonds. A graph titled Sheri's Mixed Nut Recipe has pounds of macadamia nuts on the x-axis, and pounds of almonds on the y-axis. 2 lines intersect at (1, 3). How many pounds of each nut will she use? 1 pound of macadamia nuts; 3 pounds of almonds 3 pounds of macadamia nuts; 1 pound of almonds 4 pounds of macadamia nuts; no almonds 4 pounds of almonds; no macadamia nuts.

Answers

1 pound of macadamia nuts; 3 pounds of almonds of each nut will she use.

Given that,

Sheri is making 4 pounds of mixed nuts.

She will use One-third the number of macadamia nuts as she does almonds.

A graph titled Sheri's mixed nut recipe has pounds of macadamia nuts on the x-axis, and pounds of almonds on the y-axis. 2 lines intersect at (1, 3).

We have to find,

How many pounds of each nut will she use?

According to the question,

Total mixed nuts are 4 pounds,

She will use One-third the number of macadamia nuts as she does almonds.

2 lines intersect at (1, 3).

Therefore,

Sheri's mixed nut recipe has pounds of macadamia nuts on the x-axis,

At x-axis, the point 1 lies.

So, macadamia nuts have 1 pound.

And pounds of almonds on the y-axis,

At y-axis, the point 3 lies.

So, almond nuts have 3 pounds.

Hence, 1 pound of macadamia nuts; 3 pounds of almonds of each nut will she use.

For more details about Graphs refer to the link given below.

https://brainly.com/question/9351049

Answer:

A/ the first one

Step-by-step explanation:

Did the edg

A small town has two local high schools. High School A currently has 800 students and is projected to grow by 55 students each year. High School B currently has 950 students and is projected to grow by 25 students each year. Let AA represent the number of students in High School A in tt years, and let BB represent the number of students in High School B after tt years. Write an equation for each situation, in terms of t,t, and determine the interval of years, t,t, for which High School A will have more students than High School B.

Answers

Answer:

40

Step-by-step explanation:

Pls po pahelpp ..... Kahit po paturo lng pra po matapos ko po

Answers

Answer:

ngee hirap Naman niyan sayang

The graph of the function has slope of 1 and y-intercept of -6.​

Answers

Answer:

y=1x-6

Step-by-step explanation:

y=mx+c

c = -6

m = 1

therefore

y= mx+c

y = 1x-6

2/3x + 5/6=3 1/3 I need it in as a mixed number in it's simplest form please​

Answers

Answer:

3 3/4

Step-by-step explanation:


Round 2593.6781 to nearest thousandths.

Answers

Answer:

The answer is 2593.678

Step-by-step explanation:

Drake is playing basketball. He knows that he can score one, two, or three-point shots in a game, and he has already scored 5 points this game. He wants to score at least 20 points before the game ends.

Answers

Answer: He needs to splash the threes

Step-by-step explanation: He dosent have the vertical so he just needs to have a splashy 3 pointer

A glass top of an office table has sides of 21 inches. What is its area?

Answers

Answer:

441 [tex]inches^{2}[/tex]

Step-by-step explanation:

If this is a rectangle, meaning the width and the legnth is different, there is no way in solving this.

However, if it is a square, meaning all the sides are the same,

we can know that every side is 21 inches long.

An area is the width times the length, which is both 21 in this case.

21 times 21 = 441.

441 inches squared.

6.4f 24 water bottles weigh 30 pounds, how much would a shipment of 150 water bottles weigh?​

Answers

Answer:

120 pounds

Step-by-step explanation:

24÷30 =0.8

0.8 x 150= 120 pounds

Other Questions
Why does the heart automatically adjust the flow of blood to match activity levels? A. Extreme activity damages blood cells and the body needs replacements. B. The heart requires more oxygen when exercising. C. It reduces the level of oxygen in the blood. D. Organs and muscles require more blood under stress. Please select the best answer from the choices provided. A B C D. A person who is thinking critically might ask: why something happened. how something happened. what the consequences of an event are. All of these choices are correct. When a special assessment is calculated, each parcel of real estate that will benefit from the improvement is Henry bought 9 3/4 pounds of oranges at the market. If the oranges cost $1.20 per pound, how many did Henry pay for the oranges. Which technique is used to improve customer relationship management (CRM) systems by identifying, storing, and disseminating facts about how to perform tasks HELPPPPPPPPP!!!!select all the similes found in the phrases provided.1) "I felt as one might feel upon escape from a den of hungry lions."2) "I was not only a slave, but a slave for life."3) "Anguish and grief, like darkness and rain. . . "4) "the mighty throng which, like the confused waves of the troubled sea . . . "5) "the victory brought me unspeakable joy"6) "I was in the rough and tumble of an outdoor world."7) "my chains were broken"8) "gladness and joy, like the rainbow. . ." 19. Which type of weathering is responsible for the green patina that forms on the copper skin of the Statue of Liberty 1.chemical 2.physical 3.dissolution 4.carbonization 1. Comprendes?De los cuatro lugares en De compras!, adnde debe ir cada persona?Ana: Me gustara comprar algo de Puerto Rico.answer:Lorenzo: A m me fascinan las artesanas mexicanas.Answer:Miguel: Mi almuerzo favorito? El sndwich cubano.Answer :2. Qu compr Luisa en Nueva York?3. Qu compr Luisa en Miami?4. Qu compr Luisa en Los ngeles?5. Qu compr Luisa en San Antonio? (4 cosas) At the end of the Crimson Comet's soccer season, Coach Jackson hosted a party for the players. He had 20 players on his team and ordered enough extra large pizzas for each player to eat 3 slices. Extra large pizzas have 10 slices each and cost $17. How much did all the pizzas cost? find the answer pleasere A wholesale lending arrangement that permits a mortgage broker to originate, close, and fund a loan using a warehouse line of credit is called: Explain the difference between physical and economic water scarcity. 3Write 3as an improper fraction.4 Brittany is a scientist.She is recording the number of cells in a dish.After each hour,the cell divides into four cells.The sequence shown represents the growth of the cells. 1,4,16,64,256,. . . Which explicit formula represents this situation Apart from using secure networks, how else can Dhruv keep his deliverables safe in the office and on the go? Select all that apply. While working to transfer an elderly patient from her wheelchair to a couch, Emilia first locks the wheels of the wheelchair. What could happen if Emilia forgot this important step? Answer the following question in 1-2 complete sentences. What Latin verb does the term, Intaglio, come from? What does the verb mean in Latin? What date and society can Intaglio be dated back to?. Can someone make me a Christmas story ? 13,22,31,...Find the 31st term.Find the 31st term. what is the 60th term of the sequence 2, -3, -8, -13?