Explain how the location of the vertex and the direction of the opening (upwards or downwards) affects the domain and range of the quadratic function. Use complete sentences.

Answers

Answer 1

Answer:

Following are the solution to this question:

Step-by-step explanation:

Its vertex position, as well as the position of its opening, influence its quadratic function set. Its y-coordinate of its vertex (v) and then all values of current above it are included in scope whenever the direction of openings becomes up therefore, the lowest y-value becomes possible.

It implies the scope is y >=v. If it sets up, then, y-coordinate of its vertex was its highest y value available, from all y-values above too y <= v.  The scope of a quadratic function, as it will continue forever to left and right, from the negative to positive infinity.

Related Questions

M is the midpoint of RS. R has coordinates (-2,-3) and M has coordinates (1,0). Find the coordinates of S.

Answers

Answer:

[tex](4,3)[/tex]

Step-by-step explanation:

Given

[tex]R = (-2,-3)[/tex]

[tex]M = (1,0)[/tex]

Required

Determine the coordinates of S

Midpoint is calculated as:

[tex]M(x,y) = \frac{1}{2}(x_1 +x_2,y_1+y_2)[/tex]

Where:

[tex](x,y) = (1,0)[/tex]

[tex](x_1,y_1) = (-2,-3)[/tex]

Substitute these values in the above formula:

[tex](1,0) = \frac{1}{2}(-2 + x_2,-3+y_2)[/tex]

Multiply through by 2

[tex]2 * (1,0) = 2 * \frac{1}{2}(-2 + x_2,-3+y_2)[/tex]

[tex](2,0) = (-2 + x_2,-3+y_2)[/tex]

By direct comparison:

[tex]2 = -2 + x_2[/tex] and [tex]0 = -3 + y_2[/tex]

Solving for x2

[tex]2 = -2 + x_2[/tex]

[tex]x_2 = 2 + 2[/tex]

[tex]x_2 = 4[/tex]

Solving for y2

[tex]0 = -3 + y_2[/tex]

[tex]y_2 = 0 + 3[/tex]

[tex]y_2 = 3[/tex]

Hence, the coordinates of S is: [tex](4,3)[/tex]

9., Alex is having a pizza party for 22
people. Each pizza has 6 slices. How
many pizzas should Alex buy to
ensure that each person gets at least
1 slice?

Answers

Answer:

You’ll need to purchase at least 12 pizzas to handle your group

Step-by-step explanation:

Select the correct answer from each drop-down menu.
Consider the function below Select the correct answer.
Which function is decreasing and approaches negative infinity as x increases?
A.
f(x) = 3(6)x − 2
B.
f(x) = -3(6)x + 2
C.
f(x) = -3(0.6)x + 1
D.
f(x) = 3(0.6)x − 1

Answers

Answer:

The answer is C.

Have A Nice Day

Enter the approximate value of 2129 to the nearest tenth.

Answers

Answer:

10.8

Step-by-step explanation: The answer is 10.77032961 the nearest tenth would be the first seven and the second seven is above 5 so you would round up

8-4 1/2??????????????????????????????????

Answers

Answer:

[tex]\frac{7}{2}[/tex]

Step-by-step explanation:

[tex]4\frac{1}{2} = \frac{9}{2}[/tex]  [tex]\frac{8}{1} = \frac{16}{2}[/tex]  [tex]\frac{16}{2} - \frac{9}{2} = \frac{7}{2}[/tex]  

I hope this helps!

Tra
Figure P was rotated about the center shown by 180°.
P
Tra
center
Which figure is the image of P?
Qu
Choose 1 answer:
809
Tak
A
А
P Р
Ro
B
B
P Р
Qu
0%
Tal
P Р
Rel
D
P Р

Answers

Answer: got it correct

Step-by-step explanation:

And yeah

Halla el perímetro y el área de un rectángulo cuyos lados miden 6,3 dm y 48 cm respectivamente

Answers

Answer:

El perímetro y el área de un rectángulo cuyos lados miden 6,3 dm y 48 cm es 222 cm y 3024 cm² respectivamente.

Step-by-step explanation:

Para empezar debes tener en cuenta que las medidas tienen que estar en la misma magnitud; por lo tanto en este caso la unidad de medida elegida a utilizar es centímetros. Por lo que el lado que mide 6,3 dm será expresado en cm. Entonces se puede aplicar la siguiente regla de tres simple: si 1 dm equivale a 10 cm, entonces 6,3 dm a cuántos cm equivale?

[tex]cm=\frac{6,3 dm*10 cm}{1 dm}[/tex]

cm=63

Entonces 6,3 dm= 63 cm

El perímetro es la distancia alrededor de una figura, mientras que el área es las unidades cuadradas dentro de una figura.

El Perímetro de un rectángulo es igual a la suma de todos sus cuatro lados.  Un rectángulo siempre tiene dos pares de longitudes iguales. Entonces en este caso se obtiene:

63 cm + 63 cm + 48 cm + 48 cm= 222 cm

El área de un rectángulo es el producto de la longitud de los lados. Entonces en este caso se obtiene:

63 cm* 48 cm= 3024 cm²

El perímetro y el área de un rectángulo cuyos lados miden 6,3 dm y 48 cm es 222 cm y 3024 cm² respectivamente.

A copy machine can print 480 copies every 4 minutes.



How many copies can it print in 10 minutes?

Answers

480/4 = 120 copies per minute
120 * 10 = 1,200 copies

Find the value of x. Then, find the measure of each labelled angle.

x=_
(7x+10)°=_
(15x+16)°=_​

Answers

Answer:

x = 7deg

Step-by-step explanation:

7x + 10 + 15x + 16 = 180 (angles adjacent to each other in a //polygon are supplementary)

22x = 154

x = 7deg

This is a question on polygons and angles. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Robert is working two summer jobs, making $10 per hour babysitting and making
$25 per hour tutoring. In a given week, he can work no more than 10 total hours and
must earn a minimum of $130. If Robert worked 4 hours tutoring, determine the
minimum number of whole hours babysitting that he must work to meet his
requirements. If there are no possible solutions, submit an empty answer.

Answers

Answer:

3 hours

Step-by-step explanation:

The equation will be

10b+25t ≤ 130 (b = hours of babysitting, t = hours of tutoring)

Plug in the 4 hours of tutoring

10b+(25 times 4) ≤ 130

= 10b+100 ≤ 130

10 times 3 = 30, which answers the question

Since 100 + 30 = 130

Therefore, the answer to the minimum amount of hours Robert has to tutor

to make a minimum of $130 is . . .

3

Ms. Avella’s class volunteers at an animal shelter one day per week.each student is responsible for caring for four animals during every hour spent at the shelter

Please help

Answers

Answer:

Option (3)

Step-by-step explanation:

Since, every student is responsible for the caring of 4 animals during every hour,

Number of animals cared for ∝ Number of hours spent at shelter  

a ∝ h

a = kh

Here 'k' = proportionality constant

For h = 1 and a = 4,

k = [tex]\frac{h}{a}=\frac{4}{1}[/tex]

k = 4

a = 4h

By this equation,

For h = 2,

a = 8

For h = 3,

a = 12

For h = 4,

a = 16,

For h = 5,

a = 20

Since, for every input value there is a different output value,

Diagram shows a function.

Therefore, Option (3) will be the correct option.


f 144 pieces of candy are placed into candy bags with each bag containing 12 pieces of
candy, how many bags can be filled?

Answers

Twelve bags can be filled. 144 divided by 12 is 12, therefor 12 bags of candy can be filled.

10 Points!


Tyra competed on a trivia game show. 10 points were awarded for correct answers, and 5 points were deducted for incorrect answers. She answered 2 questions correctly, but answered one incorrectly. How many points does she have?

Answers

Answer: 15

2 correct= 10+10=20
1 wrong= 20-5= 15

Answer:

Step-by-step explanation:

Answer = 15 points

Explain:

Correct answer gives you 10 points

incorrect answers subtract 5 points

She had to correct question which would be 20pts. (10 + 10 = 20)

She got one answer wrong which would subtract 5pts (20 - 5 = 15)

answer = 15pts

A _______________ is a classification tool that reveals the various possibilities in the comparison of variables for a chi-square.

Answers

Answer:

A contingency table

Step-by-step explanation:

Hypothesis tests carried out on contingency tables are based on the chi-square, a statistic.

The contingency table is a Frequency tables of two variables presented at the same time. These tables are constructed when we represent all the levels of a variable as rows in a table and represent the other variables as columns, after which we find the joint or cell frequency for every of the cell.

1 1/2 divided by 2 2/5​

Answers

Answer:

5/8

Step-by-step explanation:

there are 6 rows of 16 chairs set up for the third-grade play. In the first 4 rows 2 chairs on each end are reserved for teachers. The rest of the chairs are for students. How many chairs are there for students? please HELP!

Answers

Answer: 102

Step-by-step explanation:

what is descriptive language

Answers

Descriptive language is vivid and specific, and helps someone imagine a scene he didn't witness. ... The word descriptive comes from the Latin descript-, meaning "written down." Something that is descriptive uses an account of words to give us a sense of what it's like.

6th grade math I mark as brainliest

Answers

Answer:

False

Step-by-step explanation:

2*2*2*2 is the correct answer

Answer:

False

Step-by-step explanation:

[tex]2^4=2\cdot 4\\\\Simplify\:\:2^4 =16\\Simplify\:\:2\cdot 4 = 8\\\\16=8\\\\\mathrm{The\:sides\:are\:not\:equal}\\\\\mathrm{False}[/tex]

Find A and B if the graph of Ax + By = 12 passes through (2, 1) and is parallel to the graph of 2x − 7y = 3.

HELLPPPPPP

Answers

Answer:

A=-2 and B=7

Equation is -2x+7y=3

Step-by-step explanation:

How many meters Penelope jogs in 3 laps

Answers

Penelope jogs 966 meters in 3 laps

-X² + 5x - 6 = 2
Using the quadratic formula

Answers

[tex]-x^2+5x-6=2\\-x^2+5x-6-2=0\\-x^2+5x-8=0\\[/tex]

↝ Form into [tex]ax^2+bx+c = 0[/tex] where a > 0 (Optional)

[tex]x^2-5x+8=0[/tex] ↝ Multiply -1 for both sides.

↝ Then proceed with the Quadratic Formula.

x = [-b ± (√b²-4ac)]/2a ↝ Quadratic Formula

[tex]x=\frac{-(-5)+-\sqrt{(-5)^2-4(1)(8)}}{2(1)}\\x=\frac{5+-\sqrt{25-32}}{2}\\[/tex]

↝ As you can see that inside the square root, the numbers cannot be negative. Therefore, the solutions are imaginary.

Solution with Real Numbers  System ↝  There are no real solutions.

Solution with Complex Number System

[tex]x=\frac{5+-\sqrt{25-32}}{2}\\x=\frac{5+-\sqrt{-7}}{2}\\x=\frac{5+-\sqrt{7}i }{2}[/tex]

Therefore, the answer for Complex Number System is (5±√7i)/2

Evaluate [(30 + 6) - 34 = 9 divided by 2

Answers

Answer:

2=9/2

Step-by-step explanation:

Pls answer ! Thanks

Answers

Answer:

The slope is 2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Hey can someone please help me with this

Answers

Answer:

x = -2

The graph is the top one on the left.

What is the slope of the line that passes through the points shown in the table?
х
y
-1
-5
0
-3
1
-1
2
1
slope

Answers

Answer:

Where is the table???

Step-by-step explanation:

Show the full question

pls help I need the answer quick! ​

Answers

Answer:

the blue line

Step-by-step explanation:

VERY HARD MATH QUESTION PLEASE HELP PLEASE SOMEONE ASAP HELP ME PLEASE DUDE PLEASEE (I linked the question as an attachment)

Answers

Answer:c and then d

Step-by-step explanation

Answer: Question 1: A) 1 and 6

              Question 2: C)110 Degrees

Corresponding angles are angles that have the same degree.

Please mark brainliest if this helped :)

Find the critical value zα2/ that corresponds to a 91% confidence level. Question 13 options: a) 1.7 b) 1.95 c) 1.81 d) 2.33 e) 2.57

Answers

Answer:

D

Step-by-step explanation:

2.33 I think

The critical value that corresponds to a 91% confidence level is 1.7

What is critical value?

'Critical value is a cut-off value that is used to mark the start of a region where the test statistic, obtained in hypothesis testing, is unlikely to fall in. In hypothesis testing, the critical value is compared with the obtained test statistic to determine whether the null hypothesis has to be rejected or not.'

According to the given problem,

Confidence level = 91%

Now, α = ( 100 - 91 ) %

             = 9%

             = 0.09

Area of each tail = [tex]\frac{0.09}{2}[/tex]

                             = 0.045

Area in the middle = 1 - 0.045

                               = 0.955

Now, if we look up this area on the z-table, the critical value will come as 1.6954, which is nearly equal to 1.7.

Hence, we can conclude, the critical value is 1.7.

Learn more about critical value here: https://brainly.com/question/14508634

#SPJ2

Robert has fish, chickens, and dogs. There are 28 eyes total and 16 legs total. Also, there are twice as many fish as chickens. How many dogs are there?

Answers

4 dogs because of 16 legs?

Answer:

There are 2 dogs

Explaination:

If there are 28 eyes in total,

Dogs- 4 eyes

Chickens- 8 eyes

Fishes - 16 eyes

In total they have 28 eyes

if there are 16 legs,

Dogs- 8 legs

Chickens- 8 legs

Fishes- 0 legs

So,

2 Dogs

4 Chickens

8 Fishes

( the problem even said that there are twice as many fish as chickens)

1. What operation occurs in 3x?



2. In the expression 5x-1 what two operations occur?​

Answers

1) 3 * x

2) multiplication (5 * x); subtraction (5x - 1)

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