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

Andre is running in an 80-meter hurdle race. There are 8 equally-spaced hurdles on the race track. The first hurdle is 12 meters from the start line and the last hurdle is 15.5 meters from the finish line.

Estimate how far the hurdles are from one another. Explain your reasoning.
Calculate how far the hurdles are from one another. Show your reasoning

Answers

Answer:600 and 3

Step-by-step explanation: I Just know the answer sorry

Answer:

it isnt 600 and 3 it is 32 meters.

Step-by-step explanation: Lol these idiots

A therm is a unit of heat. The hogans paid $.38 per therm of natural gas. In September they paid $19.57 for natural gas. How many therms did they use

Answers

Answer:

51.5 thermes of gas were used

Directions:

Using the digits 1 to 6, at most one time each, fill in the
boxes so that top two equations are equal and the
bottom equation has the greatest value.
You can move the numbers around on the graph to
help.
First Attempt:
column 1
column 2

Answers

-6+3=-3
-2-1=-3
-4-(-5)=1

What is the value of f if 9f+11=3f+23

Answers

Answer:

The value of the problem is 2

Step-by-step explanation:

Expresa como intervalo de solución de la desigualdad 5≤x-2≤7 *



[7,9]

[7,5)

[-7,9]

(7,9)​

Answers

Answer:

ahahahavvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv

Step-by-step explanagggggggggggggggggggggggggggggggggggggggtion:

vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvfgj

kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

kkkkkkhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Choose the linear inequality that describes the graph. The gray area represents the shaded region.


4x – 6y ≥ 10

4x + 6y ≤ 10

4x + 6y ≥ –10

4x + 6y ≥ 10
please help !

Answers

Answer:

4x+6y<=10

Step-by-step explanation:

The linear inequality that describes the graph is 4x+ 6y ≤ 10.

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

As, The bold straight line passes through the points (1,1) and (-2, 3).

so, equation of line will be

(y- 1) = (3-1)/ (-2-1) (x-1)

y-1 = 2 / (-3) (x-1)

-3y + 3 = 2x - 2

-3y -2x = -5

If we multiply by 2 both side we get

-6y - 4x = -10

4x+ 6y= 10

So, the required inequality for gray area is 4x+ 6y ≤ 10.

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i need helpp quickly
A shopper bought the following items at the farmer’s market:
6 ears of corn for $1.80. What was the cost per ear?
12 apples for $2.88. What was the cost per apple?
5 tomatoes for $3.10. What was the cost per tomato?
How do you find out the problem?
What would happen if the decimal was put in the wrong place?

Answers

Answer:

$0.30 per corn

$0.24 per apple

$0.62 per tomato

Step-by-step explanation: you divide the price by the amount to give you the per item cost. If you put the decimal in the wrong spot your coat could go from $.30 per corn to $3 per corn. big difference!

Please helpppp will give brainliest

Answers

Answer: B it seems like

Answer:

A

Step-by-step explanation:

We can see that the y intercept is equal to 1

which means that we have the following equation

mx+1=y

We just need to solve for m at this point

We can use the ordered pair (-2,2) to help

We know that

-2m+1=2

Solve for m

-2m=1

m= -1/2

Put this together and we get

-1/2m+1=y which is A

PLEASE HELLPPPPPPP!!!!!!!!
Find the equivalent for −(3)^-4

Answers

Answer:

C.  - ([tex]\frac{1}{3}[/tex] · [tex]\frac{1}{3}[/tex] · [tex]\frac{1}{3}[/tex] · [tex]\frac{1}{3}[/tex])

Step-by-step explanation:

-3 ^-4 = -1/3 ^4

This equal - ([tex]\frac{1}{3}[/tex] · [tex]\frac{1}{3}[/tex] · [tex]\frac{1}{3}[/tex] · [tex]\frac{1}{3}[/tex])

Similar triangles are congruent.
sometimes
always
never

Answers

the answer is always i’m pretty sure

In AWXY, Y = 3.6 inches, w = 6 inches and ZX=147º. Find
the length of x, to the nearest 10th of an inch.

Answers

Answer:

9.2

Step-by-step explanation:

Answer:

9.2

Step-by-step explanation:

delta math

Y=2x

Y=7x-20

I’ll give you brainlessly

Answers

Answer:

(4,8)

Step-by-step explanation:

y = 2x

y = 7x-20

Step 1: plug in 2x for y

Step 2: subtract 7x on both sides

Step 3: divide by -5 on both sides

Step 4: plug in 4 into y = 2x

2x = 7x -20

-7x      -7x

-5x  = -20

-5         -5

x = 4

y = 2(4)

y = 8

calculate the value of 1/3 a = -5

Answers

Answer:

- 15

Step-by-step explanation:

[tex] \frac{1}{3} a = - 5 \\ \\ a = - 5 \times 3 \\ \\ a = - 15[/tex]

Answer:

-15

Step-by-step explanation:

As you can see, the denominator of 1/3 is 3. 1 third of a is -5. So what you do is, you multiply -5 * 3 and that'll give you -15. So, it is equal to -15.

HELP I NEED HELP ASAP

Answers

B cause the rectangle is square

I don’t understand this at all please help

Answers

(-2,3) you go over to the left 3 and down 2
Take the points that the three dots are on (remember over, then up) take the x from each of the three dots and plug it into the formula. So for example p=(-5,5) (-5+3)(5-2) and then put those answers into new chordates so -5+3 equals your first number (-2) and 5-2 is your second (3) and smash them together (-2,3)

PLEASE HELP I DONT KNOW THE ANSWER !! THIS IS ALGEBRA 2

Answers

Answer:

f(g(x)) = (5x)^2 = 25x^2

Step-by-step explanation:

If f(x) = x^2 and g(x) = 5x, then

f(g(x)) = (5x)^2 = 25x^2


Which of the follow is true about it

Answers

I think it’s the second option
Answer: [tex]\boxed{\boxed{\sf{It~should~be~to~the~left~of~9~on~a~number~line.}}}[/tex]Solution Steps:

______________________________

1.) Solve [tex]\bold{\sqrt{73}}[/tex]:[tex]\sqrt{73}[/tex] ≈ [tex]8.544003745[/tex]

So your answer is [tex]\bold{On~the~left~of~9}[/tex].

______________________________

A train is traveling at a constant speed and goes 17 kilometers in 8 minutes. How far will the train travel in 60 minutes.

Answers

Answer:

Distance B = 1275 kilometers.

Step-by-step explanation:

Let the two distances and time be A and B respectively.

Given the following data;

Distance A = 17 kilometers.

Time A = 8 minutes.

Distance B =?

Time B = 60 minutes.

First of all, we would find the constant speed;

Speed = distance/time

Substituting into the equation, we have;

Speed = 17/8

Speed = 2.125 km/m

Now, to find the distance B;

Distance B = speed * time

Distance B = 2.125 * 60

Distance B = 1275 km

The total cost of making a daily taco special for a restaurant is represented by the function C (t) = 2.5t + 1 , where t is the number of tacos made. How does the total cost change for every taco special the food truck makes?
A. The total cost increases by $1.
B. The total cost increases by $2.50.
C. The total cost decreases by $1.
D. The total cost decreases by $2.50.

Answers

Answer:

C. The total cost increases by $2.50

Step-by-step explanation:

This is because 1 dollar is constent--- you will always have 1 dollar.

However 2.5 is the change, you have to times a number to get the answer.

EX:

(t) = 2.5t + 1

(4) = 2.5( 4) + 1 ----- plug in 4 for t

= 10 +1

= 11

The is the multiplyer or change is the 2.5t

and when you graph it it will almost always be the slope of the line.

three times a number subtracted by 3 is 20

Answers

Answer:

3x - 3 = 20

Step-by-step explanation:

Times is a word that represents multiplication. A number can be represented by x.

3x - 3 = 20

Solving this:

3x - 3 = 20     1. Add 3 on both sides

3x = 23           2. Divide by 3 on both sides

x = 7 2/3

distribute 3(-4x-3)

Answers

Answer:

-12x-9

Step-by-step explanation:

3 times -4x is -12x

3 times -3 is -9

In an equation the answer is:

-12x-9

distribute the number outside the parenthesis to the ones inside.

3 • -4x

and

3 • -3

so -12x •-9

hope this helps

Solve 3x - 5 = 16
Write your solution starting with x= .

Answers

Answer:

x =7

Step-by-step explanation:

To solve this, you must get x by itself.

3x-5 = 16      1.  Add 5 on both sides

3x = 21         2. Divide by 3 on both sides

x = 7

Isabel’s class has collected 90 cans in a food drive. They plan to sort the cans into n bags, with an equal number of cans in each bag. Write an expression to show how many cans there will be in each bag.

Answers

Answer:

90/n

Step-by-step explanation:

There are 90 cans, and each bag MUST have an equal amount of cans, so if we had, let's say 2 bags, then there would be 45 bags. We got this by doing 90/2. 2 being n, the expression would be 90/n.

WILL GIVE BRAINLIEST!! Why does 0.9999999... equal 1

Answers

Answer:

9, among other ways denotes the repeating decimal consisting of infinitely many 9s after the decimal point (and one 0 before it). This repeating decimal represents the smallest number no less than every decimal number in the sequence (0.9, 0.99, 0.999, ...). This number is equal to 1.

Step-by-step explanation:

Because if you round up it becomes 1

a CD cost $15.50 before tax. What is the total cost after a 6% sales tax is added? ​

Answers

Answer:

16.43

Step-by-step explanation:

gib brainlest or else:0

HELP PLEASE ASAP!!!!!!!!

Brainliest goes to correct answer and 30 points given!!!!!

Answers

Answer:

lol lots of luck

Step-by-step explanation:

AGAIQJSJWJ PLEASE HELPP
y = 5x - 6&y= -4x + 3
Use the Equal Values Method to solve for x and y

Answers

Answer: x = 1 and y = -1

Step-by-step explanation:

Since both equations are equal to y, that means the equations are both equal to each other

5x - 6 = -4x + 3

Solve for x how you would traditionally do it with any other one-variable equation

9x = 9

x = 1

Plug the now known x value into either equation and you will get your y value.

5(1) - 6 = -1

-4(1) + 3 = -1

I NEED HELP PLEASEE ASAP

Answers

Answer:

7. open & shade right

4.  ∞>x>=11

5. 10.5<x<∞

9. closed & shade right

Step-by-step explanation:

Answer:

Step-by-step explanation:

K < 8= open circle on 8 shade left

d < 4 = open circle on 4 going to the left

9. closed circle on 13.5 going  to the right

Im not sure about the others but h oped this helped!

Please, help me!!

My answer is
g: 43
h: 137
m: 49
K: 31

But I'm not sure.

Answers

Answer:

G is correct

H is correct

M is correct

K is 131

Step-by-step explanation:

Angles in a straight line add up to 180 degrees

Answer:

g: 43

h: 137

m: 49

K: 131

Step-by-step explanation:

i got it right

Provide an exact evaluation of the expression:

Answers

-1/2 is the answer hope it's correct

if it is in degrees then it should be -1/2 if I’m not wrong. if it is radians the answer will be different
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