Ethan uses the function f(x) = 2x2 + 2x + 4 to track the temperature of a substance over 8 hours. You know that f(3) = 28 meaning that the temperature of the substance is 28°C when you plug in a 3 for x. What is the domain of Ethan’s function?

Answers

Answer 1

The domain of the function f(x) = 2x² + 2x + 4  is (-∞, ∞).

What is Quadratic equation?

The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics. It is expressed in the form of:

ax² + bx + c = 0

where x is the unknown variable and a, b and c are the constant terms.

You have the quadratic function

f(x) = 2x² + 2x + 4 ,

and remember that all quadratic functions are parabolas opening at point called the vertex.

Since you can plug any real number in our parabola here, its domain is all the real numbers, and this is true for all the quadratic functions of the form ax² + bx + c = 0.

Thus, in interval notation the domain of the function  is (-∞, ∞).

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Related Questions

what is the area of the figure below? Equation below v

Answers

Answer:

68 in^2

Step-by-step explanation:

The table above shows the height of a plant
at the end of each week. The height
increases by the same amount each week. If
this pattern continues, what will be the
height, in inches, of the plant at the end of
the 7th week?
(A) 1.25 in
(B) 1.50 in
(C) 1.75 in
(D) 2.00 in

Answers

Answer:

(C) 1.75 in

Step-by-step explanation:

It give you a clue in the question that the height increases by the same amount each week. This means that if you add 0.25 you will get a constant answer. What I mean by constant is this :-

0.25 + 0.25 = 0.5 in

I can also do it by multiplying it by 2.

2 × 0.25 = 0.5 in

If you add 0.25 every time or if you multiply 0.25 by the number of weeks you will get your answer same. So,

7 × 0.25 = 1.75 in

Hope this helps, thank you !!

Answer:

c

Step-by-step explanation:

I NEED HELP ASAP NO ONE EVER HELPSS ME!!! Which transformation would take Figure A to Figure B?

Answers

Answer:

choice 1) a reflection over then line y = -x

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

just hold your paper and turn it and it will line up

PLZZZ HURRY!

Cassie has a wood board that is 34 foot long. She wants to cut the board into pieces that are 18 foot long. Which expression will help Cassie find how many pieces she can cut?

A. 34−18

B. 34÷18

C. 18⋅34

D. 18÷34

Answers

Answer:

B

Step-by-step explanation:

The answer is 3/4 divided by 1/8

The graph of a translated exponential function is shown below. Its parent function is y = 4x.

If the graph is asymptotic to y = -3 and contains the points (2, -2) and (3, 1), what is the equation of the function?
PLEASE HURRY!

Answers

The graph of a translated exponential function is shown below. Its parent function is y = 4x.?

The function has been translated down 3 units and right 2 units. The equation of the graphed function is

.. y = -3 +4^(x -2)

If the graph is asymptotic to y = -3 and contains the points (2, -2) and (3, 1), what is the equation of the function?

i don`t know the answer to this one tho,very sorry

Answer:

y = [tex]4^{x - 2}[/tex] - 3

Step-by-step explanation:

PLEASE HELPPPP!!! MEEE! WILL GIVE BRAINIEST!!!
y =
x +

Answers

Answer:

[tex]y = 7x [/tex]

Step-by-step explanation:

To find the slope, which is

[tex] \frac{rise}{run} [/tex]

find how high up the y value goes before it intersects the x line at a specific point. It seems that they intersect at (70,10) which would be 70/10 or 7/1. 7/1 is just 7 so the slope of it is just that, 7. As for finding B, look at where the line starts, of it's above or below 0, then you would add or subtract whatever number it starts at (subtract for negative, add for positive). In this case it seems that the intercept is right at 0 so you would neither add or subtract anything. :)

Find the 25th term in the arithmetic sequence: 23, 223, 423, 623,...

Answers

Answer:

Step-by-step explanation:

Assuming that 23 is the first term

4823

25th term of arithmetic sequence is 4,823

Given arithmetic sequence:

23, 223, 423, 623,...

Find:

25th term of arithmetic sequence

Computation:

First term a = 23

Common difference d = A2 - A1

Common difference d = 223 - 23

Common difference d = 200

Number of term n = 25

So,

An = a + (n - 1)d

A25 = 23 + (25 - 1)(200)

A25 = 23 + (24)(200)

A25 = 23 + 4,800

A25 = 4,823

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A bag is fſlled with green and blue marbles. There are 61 marbles in the bag. If there are 5 more green
marbles than blue marbles, find the number of green marbles and the number of blue marbles in the bag.
Equation (use x as your variable):
The number of blue marbles is:
The number of green marbles is:

Answers

Answer: Alright So, A bag is filled with green and blue marbles. There are 48 marbles in the bag. If there are 38 more green marbles than blue marbles, find the number of green marbles and the number of blue marbles in the bag.

------

Equations:

g + b = 48 marbles

g = b + 38

------

Substitute for "g" and solve for "b"::

 

b+38 + b = 48

2b = 10

b = 5 (# of blue marbles)

g = b+38 = 43 (# of green marbles)

Step-by-step explanation:

Plzzzzzzzzzzzzzzzz Helo
Answer correct please but It can tell if the answer is wrong ​

Answers

Answer:

im pretty sure 20 seconds

Step-by-step explanation:

Answer:

11.494 seconds

Step-by-step explanation:

I don't think you need to show work

Y = -3 + 1/2x 3x + 2y = 2


Help ASAP this is due today

Answers

The solution to this would be x=2, y=-2

Tell whether the ordered pair is a solution of the system of linear equations.

8x+2y=2
2x+y=15
(1,3)

Answers

Answer:

Step-by-step explanation:

8x + 2y = 2

-4x - 2y = -30

4x = 28

x = 7

14 + y = 15

y = 1

(7, 1)

You can work a total of no more than 15 hours each week at your two jobs. Housecleaning pays $8 per hour and your sales job pays $10 per hour.
You need to earn at least $130 each week to pay your bills.

Write a system of inequalities to represent this situation. DO NOT SOLVE.
Let x = # of hours housecleaning and y = # of hours at the sales job

Answers

8x + 10y = 130 is the equation
Equation is 130= 8x + 10y

can someone pls help me with this i don’t know what i am doing haha..

Answers

B is your answer your welcome

there are 24 students in Ms. Woodall's class. 1/2 of the students are boys. 1/3 of the boys have brown hair. what is the number of boys in Ms. woodall's class who have brown hair?

Answers

4 boys have brown hair

Answer:

4

Step-by-step explanation:

1/2 of 24=12

1/3 of 12=4

Find an answer to your question Using the triangle drawn below, determine the exact value of y. 45° trigonometry !

Answers

Step-by-step explanation:

hope this helps you

thank you

find the value of y.

Answers

Answer:

just take the 96 and 66 and middle it then take y multiply that=answer

Step-by-step explanation:

Answer: 48

Step-by-step explanation: 96/2

Pls help me
What is the diagram?

Answers

Answer:

c/e = e/d

Step-by-step explanation:

These are similar triangles. When you flip the larger one clockwise to enable you to see which sides are corresponding, then you find that:

c corresponds to e'

a corresponds to b

e corresponds to d

Therefore, c/e in the original position = e'/d in the flipped position.

So c/e = e/d

28 songs to 49 songs what is the percent

Answers

Answer:

The answer is about 57.1 %

Step-by-step explanation:

I wanna cry Joseph pls answer this

Answers

I ain't Joseph but what's wrong?

Hester sells televisions. she earns a fixed amount for each television and an additional $30 if the buyer gets an extended warranty. If Hester sells 13 televisions with extended​ warranties, she earns 13,00. How much is the fixed amount earns for each​ television?

Answers

Using proportions, it is found that the fixed amount that she earns for each television is of $70.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, she sold 13 televisions with warranty, hence earning a total in bonus of 13 x $30 = $390.

Hence, the sum of the 13 fixed amounts is of 1300 - 390 = 910, hence the fixed amount she earns is given by:

$910/13 = 70.

More can be learned about proportions at https://brainly.com/question/24372153

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Find the area of the shape below.

Answers

I’m pretty sure you need a value that gives you at what point the 20cm is separated at the tip of the triangle at the top if that makes sense

please help me i will mark brilient​

Answers

Solution:

[tex] \red{20 \: \frac{1}{4} \div 9}[/tex]

[tex] = \frac{81}{4} \div 9[/tex]

[tex] = \frac{^{9}\cancel{81}}{4} \times \frac{1}{\cancel{9}^{1} } [/tex]

[tex] = \frac{9}{4} [/tex]

[tex] \blue{ = \boxed{2 \: \frac{1}{4} }}[/tex]

Answer:

2 ¼ m is the length of each piece of the rope

=============================

Hope it helps

=============================

Find (6) x (-3)

What is the answer to this?

Answers

Answer:

Multiply 6 by −3.

−18

Step-by-step explanation:

Hope it is helpful.....

Answer:

-18

Step-by-step explanation:

make sure you know your tables of 6 it might help you.

I need help on this problem. Does anyone know how to complete it? Please and thank you :)

Answers

i think it's 5 because i remember learning that it's gonna be half of what the bottom is

Mary bought a 7lb bag of flour. She used 1/3 of the bag to bake wedding treats.

Answers

Answer:

she is left with 4.67 LB of flour.

Step-by-step explanation:

7 divided by 3 = 2.3333333

2.3333333 x 2 = 4.67

Angel misses 20% of the free throws he attempts in a season. How many total free throws did he attempt if he missed 31

Answers

Answer: 155

Step-by-step explanation:

31 - it is 20%

20% = 0.2

Find, how many total free throws did he attempt if he missed:

31 : 0.2 = 155

PLZ PLZ PLZ PLZ HELP ME WITH THIS QUESTION

Answers

Answer:

B

i hope this helped! please mark me as brainliest and 5 stars >:)

Step-by-step explanation:

Answer:

b is the right answer cause a < - 8

PLEASE HELP, MARKING BRAINLIEST!!

Find the measure of angle x in the figure.

Thanks.

Answers

Answer:

angle X is equal to 130 degree

Step-by-step explanation:

angle sum prop in septagin is 900 degree

so 900-770 is 130

What is 3.162÷51 . I'll mark you as the brainlyest

Answers

Answer:

The answer will be 0.062

Step-by-step explanation:

Hope this Helped

Answer:

0.062

Step-by-step explanation:

3.162/ 51 = 0.062

A farm raises pigs and chickens. The farmer has a total of 102 animals. One day he counts the legs of all his animals and realizes he has a total of 298 legs. How many chickens does the farmer have

Answers

Answer:

47 pigs and 55 chickens

Step-by-step explanation:

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