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 (-∞, ∞).

Learn more about Quadratic Equation from;

https://brainly.com/question/2263981

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Related Questions

Use the graph to write a linear function that relates y to x.

y=

Answers

Answer:

y= -3x+1

Step-by-step explanation:

y=mx+b

find m: (y2-y1)/(x2-x1)

pick any two points: (-1,4) and (0,1)

plug them in: (4-1)/(-1-0)= -3=m

b is the y intercept which is 1=b

plug these into the equation for a line y=mx+b

y=-3x+1

9x + 3y = -15
-18x - 6y = 30

X = ?
Y = ?

Answers

Answer:

x = x, y = −5 −3x

Step-by-step explanation:

hope this helps

which one?

a)
b)
c)
d)

Answers

Answer:

Step-by-step explanation:

Answer:
d. 3/5

Explanation:
Shaded Area = 15
Total Area = 25

THE QUESTION IS IN THE PICTURE

Answers

Answer:

It should be 56, sorry if i am wrong

Step-by-step explanation:

28 divided by 14 is 2

56 divided by 14 is 4

Answer:

Step-by-step explanation:

First, you simplify 2/4 to 1/2. Then you figure that 28 * 2= 56/1= 56.

To double check your answer, put 56 in the box and see if the two fractions equal each other.

what is the answer to 7.7w-4.6w

Answers

Answer:

Its simple : 3.1w

Answer:

3.1w

explanation

When two powers with the same base
are multiplied together, what is done
with the exponents?

Answers

The exponents are added.

5x - 3y = -28
4x + 6y = -14

Answers

Answer:

5x-3y is supposed to equal -15

Y= -2x/3

please help me:) appreciated :) have a good day!!

Answers

the answer is the second one cuz the total cost = dinner + tip

Which is an example of a function?

the price of a movie ticket and the height of the customer

the price of a piece of cloth and the length of the cloth

the time it takes to mow a lawn and the age of the person mowing the lawn

the distance to school and the time you spend at school

Answers

Step-by-step explanation:

the price of a piece of cloth and the length of the cloth

Lucas’s computer took 8 minutes to download 30 songs. How many seconds per song did it take his computer to download

Answers

It took 16 seconds to download each song
Hope this helps

help me pls I really have to get this done ill give brainliest

Answers

Answer:

ok thx

Step-by-step explanation:

Simplify the expression: 9-2X + 8 + x + 5x

Answers

Answer:

4x + 17

Step-by-step explanation:

9 - 2x + 8+ x + 5x

Add/Subtract the values with variables together and the same case for the values without any variables.

5x + x - 2x = 4x

9 + 8 = 17

So you'll end up with the following,

4x + 17

5+2+2(5)+3=4(5) plr help me

Answers

Answer:

5+2+2(5)+3=4(5)

simplify

5+2+10+3=20 and 4(5)=20

20=20

Answer: 20

Step-by-step explanation:

Simplify:

5+2+2x5+3

Remove parentheses:

5+2+2(5)+3=4(5)

Multiply the numbers 2x5=10:

5+2+10+3

Add the Numbers:

=20

Simplify (4)5 :

Remove Parentheses:

4 x 5

Multiply:

=20

20=20

Find the lateral surface area of the prism.

24 in.
4 in.
5 in.

I WILL GIVE BRAILIEST

Answers

Answer:

280m to the power of 2

Step-by-step explanation:

I will give brainliest away if you solve this for me please.

Answers

Turn both equations into slope-intercept form [ y = mx + b ].

x + 3y = 3

~Subtract x to both sides

3y = 3 - x

~Divide 3 to everything

y = 1 - x/3

~Reorder

y = -1/3x + 1

4x + 3y = -6

~Subtract 4x to both sides

3y = -6 - 4x

~Divide 3 to everything

y = -2 - 4x/3

~Reorder

y = -4/3x - 2

Graph of the equations will be shown below. Note that the solution of graphing two equations will be where both equations intersect. Both lines intersect at (-3, 2), hence making that the solution.

Best of Luck!

Answer:

Hey, so this is what I got for them as equations. The 1st one is y=-1/3x+1, and the 2nd one is y=-4/3x-2. Hope it helps

Step-by-step explanation:

a store bought 150 toys at a cost of $8 each, the store sold all the toys at a percent markup of 35%. find the total selling price

Answers

150x$8=1200
1200x.35=420
$1200+$420=$1620

y + 5/2 x = 2 as slope intercept form graph show all work

Answers

Answer:Graph y=5-2x. y=5−2x y = 5 - 2 x. Reorder 5 5 and −2x - 2 x . y=−2x+5 y = - 2 x + 5.

7 x ( h + 4 ) for h = 3

Answers

Answer:

is h is 3, then your answer would be 21 + 28 = 49

since 7 x 3 = 21 and 7 x 4 = 28 you add 21 and 28 which would get you 49

Answer:

h = 3

Step-by-step explanation:

7 x ( h + 4 )=7×(3+4)=7×7=49

If Amy has 10 quarters, 10 dimes, and 10 nickels what percent of her MONEY is in dimes?

Answers

Answer:

%0.13

Step-by-step explanation:

10 quarters= $2.5 which is 25 dimes

10 nickels= $0.5 which is 5 dimes

10 dimes= $100

100+25+5= 130 dimes = $13

13/100 = %0.13

What is 3/8 written as a decimal?

Answers

Answer:

0.375

Step-by-step explanation:

3/8 = 0.375

Answer:

0.375

Step-by-step explanation:

Bill drove 871 miles in 13 hours.

At the same rate, how many miles would he drive in 8 hours?

Please hurry! I need help ASAP!

Answers

Answer:

536 miles

Step-by-step explanation:

871/13 = 67

67*8 = 536

Answer:

536

Step-by-step explanation:

871 divided by 13 is 67

take 67 and times it by 8 and you have 536

derek tried to dilate the isosceles trapezoid abcd with the center of dilation at the origin with a scale factor of 2. check his work and complete the statements

the slope of ac is ___
the slope of eg is ___
the polygons are not dilation of each other because ___

Answers

Answer: 4,2 the corresponding sides are not parallel

Step-by-step explanation:

distribute 2(9x + 2)

Answers

Answer:

18x+4

Step-by-step explanation:

Multiply 2 and 9x

Multiply 2 and 2

2 times 9x is 18x

2 times 2 is 4

In an equation, the answer is:

18x+4

Answer:

18x+ 4

Step-by-step explanation:

Just multiply the outside 2 to 9x and 4. I hope this helps :)

Alina has been collecting video games for a year. The table below shows how many games games she has received over the year

Answers

Answer:

I don’t see the table so I can’t answer it....

Step-by-step explanation:

....................

SOMEONE PLEASE HELP ME WITH THIS I NEED HELP PLEASE ILL GIVE BRAINLY!!!!

Answers

the answer is a ^__^

3 Mei is a park ranger at Death Valley National Park in California.
She records the elevation relative to sea level at different points
in the park.
Elevation (m)
-32.6
24.7
-8.3
19.1
- 8.4
a. What is the mean of the elevations? Show your work.

Answers

Answer:

It is the quarter fourth of the elevation

Step-by-step explanation:

The meaning of elevations is a high above meaning level

Answer:

Step-by-step explanation:

The mean is just the arithmetic average, the sum of numbers divided the number of terms.

m=(-32.6+24.7-8.3+19.1-8.4)/5

m=-5.5/5

m=-1.1

PLEASE HELP!!!!!!!!!! Solve. −8y ≥ 56 y ≤ 7 y ≥ –7 y ≤ −7 y ≥ 7

Answers

Answer:

Step-by-step explanation:

the answer is

-8y>=56

-y>=7

y<=7

please help
solve for x and b

Answers

Answer:

2x + 60 = 4x( Vertically opposite angle)

60 = 4x - 2x

4x - 2x = 60

2x = 60

x = 60÷2

x = 30

2x + 60 + B = 180° ( Linear Pair )

2(30) + 60 + B = 180°

60 + 60 + B = 180°

120 + B = 180°

B = 180° - 120

B = 60

quivaler
What is the decimal
equivalent for 15_?

Answers

Answer:

1/15

Step-by-step explanation:

A.49
B.-49
C.44 2/15
D.-44 2/15

Answers

the answer is A. 49, hope that helps

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