What is the domain and range of the quadratic function given by the equation /(x) = 2(x-4)] - 2

Answers

Answer 1

The domain of the function is the set of all real numbers and the range of the function is the set of all values greater than -2

How to determine the domain and the range?

The function is given as:

f(x) = 2(x -4)^2 - 2

A quadratic function can take any real number as its input.

So, the domain of the function is the set of all real numbers

The vertex of the above function is:

Vertex = (4, -2)

And the leading coefficient is:

a = 2

The y value of the vertex is;

y = -2

Because the value of a is positive, then the vertex is a minimum.

This means that the range of the function is the set of all values greater than -2

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Related Questions

WILL GIVE BRAINLIEST!!
In this lesson, you will learn more about the properties and characteristics of triangles and.

rectangles
cylinders
rhombii
circles

Answers

Answer:

rectangles

Step-by-step explanation:

Answer:

rhombii

Step-by-step explanation:

Monu
Exploring Decimals
What is this number in standard form?
(7 x 100) + (4 x 100 ) + (8 x
1,000)
Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

700+400+8000

9100

Answer: 9,100

Step-by-step explanation:

[tex](8*1,000)+(4*100)+(7*100)=\\8,000+400+700=\\8,400+700=\\9,100[/tex]

It cost a bicycle company $8750 to make 50 bikes in its first month of operation and $14925 to make 115 bikes during its second month. Find a linear equation to express the company’s monthly production cost, y, in terms of the number, x of bikes it makes. y=?

Answers

Answer:

Step-by-step explanation:

[tex]y=mx+b\\ \\ m=\frac{14925-8750}{115-50}=95\\ \\ y=95x+b,\ (50,8750)\\ \\ 8750=95(50)+b\\ \\ 8750=4750+b,\ b=4000\\ \\ y=95x+4000[/tex]

If a cylinder with height 9 inches and radius rr is filled with water, it can fill a certain pitcher. How many of these pitchers can a cylinder with height 9 inches and radius 3r3r fill?

Answers

Answer:

9 pitchers

Step-by-step explanation:

Given

Cylinder 1:

[tex]Radius = r[/tex]

[tex]Height = 9[/tex]

Cylinder 2:

[tex]Radius = 3r[/tex]

[tex]Height = 9[/tex]

Required

How many pitchers' cylinder 2 can fill

First, we calculate the volume of both cylinders

Volume is calculated as:

[tex]Volume = \pi r^2h[/tex]

For A:

[tex]V_A = \pi r^2*9[/tex]

[tex]V_A = 9\pi r^2[/tex]

For B:

[tex]V_B = \pi (3r)^2 * 9[/tex]

[tex]V_B = \pi *9r^2 * 9[/tex]

[tex]V_B = 9* 9\pi r^2[/tex]

In (a): [tex]V_A = 9\pi r^2[/tex]

So, we have ve:

[tex]V_B = 9*V_A[/tex]

[tex]V_B = 9V_A[/tex]

If the first cylinder can fill 1, then the second can fill 9 pitchers

It takes 213 yards of denim to make one pair of jeans. How many yards would it take to make 5 pairs of jeans?

Answers

Answer:

1,065

Step-by-step explanation:

Multiply 213 by 5 to get your final answer.

17. Which is M=9pn solved for p? (1 point)
p = M/n p= M-9n. p= 9n/M. p=M/9n

Answers

B 56

Step-by-step explanation:

NEED AN ANSWER FAST

What is the equation for the line of reflection?
A.x=6
B.y=6
C.y=x
D.y=2

Answers

Answer:

B:y6 yan ang. answer wag puro brainy

A penguin walks 10 feet in 6 seconds. At this speed:
1. How far does the penguin walk in 45 seconds?
2. How long does it take the penguin to walk 45 feet?
Explain or show your reasoning.

Answers

Answer:

1. 75 feet

2. 27 seconds

Step-by-step explanation:

1. If six seconds is equal  to 10 feet that means that 42 seconds is equal to 70 feet (6 X 7 = 42) It also means that 3 seconds is equal to 5 feet. (42 + 3 = 45)

2. If 6 seconds is 10 feet, then 6 X 4 is 40 feet (24) And since 5 feet is equal to   3 seconds then we get 24 + 3 = 27

Tammy only has $550 of debt left. If Tammy were to pay off her debt completely today, how could you represent Tammy's situation as an equation? Who ever actually helps get brainliest.​

Answers

Answer:

Step-by-step explanation:

If Tammy has $550 in debt, and she pays it off in one day, then the equation to represent her situation would look like this.

$550 - $550 = $0

Hope this helps!

Answer:If I let +t+=+0+ ( no months have passed )

+D%280%29+=+550+

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

+t+=+1+

+D%281%29+=+550+-+.19%2A550+

+D%281%29+=+550%2A%28+1+-+.19+%29+

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

+t+=+2+

+D%282%29+=+550%2A%28+1+-+.19+%29+-+.19%2A%28+550%2A%28+1+-+.19+%29+%29+

+D%282%29+=+550%2A%28+1+-+.19+%29%2A%28+1+-+.19+%29+

+D%282%29+=+550%2A%28+1+-+.19+%29%5E2+

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

This pattern continues, so the general formula is:

+D%28t%29+=+550%2A%28+1+-+.19+%29%5Et+

+D%28t%29+=+550%2A.81%5Et+

I hope you see this. Each month 19% of the

PREVIOUS months balance gets subtracted.

Step-by-step explanation:

Help pleeeeaase!! Marking most Brainly

Answers

I believe the answer is 62.5

Please please give answer

Answers

Answer:

A

Step-by-step explanation:

iTS JUST a

Answer:

Step-by-step explanation:

i cant see it

thank you in advance

Answers

Answer:

the answer is option (b)

Answer:

First option: y= -4/3x + 7

Step-by-step explanation:

It's perpendicular

Given that 7x – 4y = 6
Find x when y=9

Answers

Answer:

6

Step-by-step explanation:

Substitute y for 9: 7x - 36 = 6

Add 36 to both sides: 7x = 42

Divide both sides by 7: x = 6

It's 6, do you need something more simplified?

X^4 - 3x^2 + 2y - 1 is a polynomial of degree

Answers

Answer:

thankyou uwhdjaossbehsa
quartic or of the 4th degree

A percentage is another way to write a _________________.


Answers

Answer: fraction

Step-by-step explanation:

Answer:

Decimal

Step-by-step explanation:

For example, 10% can also be .10.

You just move the decimal two places to the right or left depending on which one you want.

please help me asap!

Answers

Answer:

ST=18

Step-by-step explanation:

129-7+6
va dau coroana​

Answers

Answer:

The correct answer is 128

What is the y value of y=2x-3 and y=3x-7

Answers

Step-by-step explanation:

hope the above solution will help you

distance formula is?

Answers

Answer:

what formula sorry cant help

Step-by-step explanation:

Answer:

[tex]d=\sqrt{(x2-x1)^{2} (y2-y1)^{2} }[/tex]

Step-by-step explanation:

This is what it is lol

WHAT IS THE LEGENTH OF ML. PLEASE HELP NOW​

Answers

Answer:

gdfgdf

Step-by-step explanation:

Darby bought a rare baseball card for $2,000. Three years later, the value of the card had increased 35% of its original value. By how much did the value of Darby’s baseball card increase?

$___

Answers

The card value after its increase of 35% would be $2,700.

Please help me with this question I really need help!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

The angles of a triangle add up to 180°.

∠4 = 180°-35°-90° = 55°

solve help


3+ x + 4 =

Answers

Answer:

7+x

Step-by-step explanation:

Add 3 and 4

3+4= 7

You can't add x since it's a variable so you just leave it as it is.

Hope this helps!

Question 5 (4 points)
(06.01)

Evaluate the expression 43 ÷ (7 − 3) × 2. (4 points)

Answers

Answer:

21.5

Step-by-step explanation:

(solve in parentheses first)

43/(7-3)x2

(43/4)x2

86/4

21.5

Answer:

[tex]21.5[/tex]

Step-by-step explanation:

First you have to simplify 7 - 4 to 3.

[tex]43 \div 4\times 2[/tex]

Then Simplify 43 ÷ 4 to 10.75.

[tex]10.75 \times 2[/tex]

And lastly, Simplify.

[tex]21.5[/tex]

Therefor, the answer is, 21.5.

Drag each tile to the correct box.
Match each equation with its solution.

x = -0.4
x = 10
x = 2
x = -10
Equation
Solution
x − 6 = -4
arrowRight
x + 3 = -7
arrowRight
5x = -2
arrowRight
0.5x = 5
arrowRight

Answers

x - 6 = - 4

Answer: x = 2

x + 3 = -7

Answer: x = -10

5x = -2

Answer: x = -0.4

0.5x = 5

Answer: x = 10

The solutions to the equations as arranged are 2, -10, -0.4 and 10 respectively

Solving equations

Given the following equations

x − 6 = -4

Add 6 to both sides

x - 6 + 6 = -4 + 6

x = -4 + 6

x = 2

For the equation x + 3 = -7

Subtract 3 from both sides

x + 3 -3 = -7 - 3

x = -10

For the equation 5x = -2

x = -2/5

x = -0.4

For the equation

0.5x = 5

x = 5/0.5

x =10

Hence the solutions to the equations as arranged are 2, -10, -0.4 and 10 respectively

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User will enter three grades averages (exam, project, and lab). Determine which of the three grades (consider any ties) is the highest grade and display the results. Determine which of the three grades (consider any ties) is the lowest grade and display the results. Check for any grades failing below 70% and display each individual grade. Calculate the average grade using the three grades and display the average grade. If they are all 70 and above then display the fact that they are all 70% or above.

Answers

Answer:

In Python:

exam = int(input("Exam: "))

project = int(input("Project: "))

lab = int(input("Lab: "))

if exam >= project and exam >= lab:

   print("Highest Grade: "+str(exam))

elif project >= exam and project >= lab:

   print("Highest Grade: "+str(project))

else:

   print("Highest Grade: "+str(lab))

   

if exam <= project and exam <= lab:

   print("Lowest Grade: "+str(exam))

elif project <= exam and project <= lab:

   print("Lowest Grade: "+str(project))

else:

   print("Lowest Grade: "+str(lab))

   

print("\nGrades below 70")

if exam < 70:

   print("Exam: "+str(exam))

if project < 70:

   print("Project: "+str(project))

if lab < 70:

   print("Lab: "+str(lab))

   

print("\nAverage: "+str((exam+project+lab)/3))

if exam > 70 and project >70 and lab > 70:

   print("All grades are above 70")

Step-by-step explanation:

The next three lines get input for exam, project and lab

exam = int(input("Exam: "))

project = int(input("Project: "))

lab = int(input("Lab: "))

This condition checks if exam is the highest grade

if exam >= project and exam >= lab:

If true, exam is printed as the highest grade

   print("Highest Grade: "+str(exam))

This condition checks if project is the highest grade

elif project >= exam and project >= lab:

If true, project is printed as the highest grade

   print("Highest Grade: "+str(project))

If otherwise

else:

lab is printed as the highest grade

   print("Highest Grade: "+str(lab))

This condition checks if exam is the lowest grade    

if exam <= project and exam <= lab:

If true, exam is printed as the lowest grade

   print("Lowest Grade: "+str(exam))

This condition checks if project is the lowest grade    

elif project <= exam and project <= lab:

If true, project is printed as the lowest grade

   print("Lowest Grade: "+str(project))

If otherwise

else:

lab is printed as the lowest grade

   print("Lowest Grade: "+str(lab))

   

This prints the header "Grades below 70"

print("\nGrades below 70")

This checks if exam is below 70.

if exam < 70:

If true, exam score is printed

   print("Exam: "+str(exam))

This checks if project is below 70

if project < 70:

If true, project score is printed

   print("Project: "+str(project))

This checks if lab is below 70

if lab < 70:

If true, lab score is printed

   print("Lab: "+str(lab))

   

This calculates and prints the average

print("\nAverage: "+str((exam+project+lab)/3))

This checks if all three scores are above 70

if exam > 70 and project >70 and lab > 70:

If true, the the message that all are above 70, is printed

   print("All grades are above 70")

write an expression to express y in terms of x use your equation to complete the table
PLS HELPPPP QUICKLYYYY

Answers

Answer:

The answer is 1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

x - 5 = y

6 - 5 = 1

Hope that helps!

? QUESTION
Learning Page
The ratio of men to women working for a company is 5 to 4. If there are 243 employees total, how many women work for the company?
OO EXPLANATION

Answers

Answer:

108 women

Step-by-step explanation:

add the parts of the ratio together

5 + 4 = 9

divide the total number of employees by 9

243/9 = 27

now multiply the parts of the ratio by 27.

5 X 27 = 135

4 X 27 = 108

simply combining like teams 3a-2b-ab-(a-b+ab)-4ab+2b-a STEP explanation plss​

Answers

Answer:

-6 a b + b + a

Step-by-step explanation:

Simplify the following:

-(a - b + a b) - a b - 4 a b + 2 b - 2 b + 3 a - a

Hint: | Group like terms in 3 a - 2 b - a b - (a b - b + a) - 4 a b + 2 b - a.

Grouping like terms, 3 a - 2 b - a b - (a b - b + a) - 4 a b + 2 b - a = -(a b - b + a) + (-a b - 4 a b) + (3 a - a) + (2 b - 2 b):

-(a b - b + a) + (-a b - 4 a b) + (3 a - a) + (2 b - 2 b)

Hint: | Combine like terms in -a b - 4 a b.

a b (-1) + a b (-4) = -5 a b:

-(a b - b + a) + -5 a b + (3 a - a) + (2 b - 2 b)

Hint: | Combine like terms in 3 a - a.

3 a - a = 2 a:

-(a b - b + a) - 5 a b + 2 a + (2 b - 2 b)

Hint: | Look for the difference of two identical terms.

2 b - 2 b = 0:

-(a b - b + a) - 5 a b + 2 a

Hint: | Distribute -1 over a b - b + a.

-(a b - b + a) = -a b + b - a:

-a b + b - a - 5 a b + 2 a

Hint: | Group like terms in -a b - 5 a b + b + 2 a - a.

Grouping like terms, -a b - 5 a b + b + 2 a - a = (-a b - 5 a b) + b + (-a + 2 a):

(-a b - 5 a b) + b + (-a + 2 a)

Hint: | Combine like terms in -a b - 5 a b.

a b (-1) + a b (-5) = -6 a b:

-6 a b + b + (2 a - a)

Hint: | Combine like terms in 2 a - a.

2 a - a = a:

Answer: -6 a b + b + a

C gives the cost, in dollars, of a cafeteria meal plan as a function of the number of meals purchased, n. The function is represented by the equation C(n) = 4 + 3n. Find C(10) and explain what your answer means in context to the situation

Answers

Answer:

Ill help if u still need

Step-by-step explanation:

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