ANSWER THIS IS FOR EXTRA CREDIT

Answer:

this is the full solution of your question

The polynomial function which represents the number of vehicles ( x ) that go through the drive-thru each hour f ( x ) is given by the function f ( x ) , where f ( x ) = 0.4048x² + 16.9762x + 2.1429

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Daniel keeps track of the number of vehicles that go through the drive-thru each hour

Let the number of hours be x

Let the total number of vehicles that passes be y

Now , the values of x = { 1 , 2 , 3 , 4 , 5 , 6 , 7 }

The values of y = f ( x ) = { 18 , 38 , 60 , 78 , 93 , 117 , 143 }

Let the polynomial equation be represented as f ( x )

Now , the value of f ( x ) is calculated from the curve fitting model of hyperbola , where

f ( x ) = 0.4048x² + 16.9762x + 2.1429

when x = 3

f ( 1 ) = 0.4048 ( 3 )² + 16.9762 ( 3 ) + 2.1429

On simplifying , we get

f ( 1 ) = 3.6432 + 50.9286  + 2.1429

f ( 1 ) ≈ 60

Hence , the polynomial equation is f ( x ) = 0.4048x² + 16.9762x + 2.1429

To learn more about polynomials click :

https://brainly.com/question/13199883

#SPJ3

Answer:

[tex]\frac{-5}{4}[/tex]

Step-by-step explanation:

You're going to want to set up an algebraic equation to solve this. It would look like this: 4(x+7)=23. Using distributive property, you'd get 4x+28=23. Subtract 28 from both sides to isolate 4x, and you'd get 4x=-5. Divide by 4 on both sides to isolate x and you'd get x=[tex]\frac{-5}{4}[/tex].

CHECK:

To check, plug in x.

4([tex]\frac{-5}{4}[/tex]+7)=23.

Use distributive property and get [tex]\frac{-20}{4}[/tex]+28=23. This simplifies to -5+28=23, which is correct.

The value of 'x' or the length of the base of the triangle is [tex]\sqrt{141}[/tex] units.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know, In right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

The given triangle has a hypotenuse of 25 units and a height of 22 units.

Therefore,

Hypotenuse² = Base² + Height².

Base² = Hypotenuse² -  Height².

Base = [tex]\sqrt{Hypotenuse^2 - Height^2}[/tex].

Base = [tex]\sqrt{25^2 - 22^2}[/tex].

Base = [tex]\sqrt{625 - 484}[/tex].

Base = [tex]\sqrt{141}[/tex].

So, The length of the base is [tex]\sqrt{141}[/tex] units.

learn more about Pythagoras's theorem here :

https://brainly.com/question/10174253

#SPJ2

Answer:

The correct answer is option B.

Step-by-step explanation:

Hi.I don't know why I am not getting any brainliest answer and if you are kind enough could you please mark me as the brainliest answer and please follow me also.

Answer:

2+10x-x^2, the last answer

Step-by-step explanation:

Answer:

The equation of the line is

[tex]y = \frac{1}{3}x - 2[/tex]

Step-by-step explanation:

Remember:

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

Answer:

78.5

Step-by-step explanation:

add 1+2+3+4+5+6+7+100-56=78.5

Answer: x≥-3

Step-by-step explanation:

-(4x-5)+16x≥-31

-4x+5+16x≥-31

12x+5≥-31

   -5  -5

12x≥-36

12/12x≥-36/12

x≥-3

hope this helped :)

Answer:

C - thirteen feet

Step-by-step explanation:

12 feet plus 1 foot is 13

A and B

Both A and B, when simplified get -(1/6), because the others have either 0 or 2 negative signs, denoting a positive end result.

Answer:

The answer is  2/405Xmn with an exponent of 5 at the end

Answer:9+3x=12x

Step-by-step explanation: first you do 9+3 then that would equal 12 and y=12 so then after that you do 12x bc you didnt use the 9+3 with x so you add the x with the 12 and that makes it 12x

Answer:

I believe 7x, 4y, and 1

Step-by-step explanation:

I belive the answer is C.

Answer:

A

Step-by-step explanation:

it isn't a straight line, so it is nonlinear

Answer:

-2565

Step-by-step explanation:

because all you have to do is subtract the percentage and the actual price of the jewelry so yeah he's paid that much money so yeah

Answer:

Step-by-step explanation:

Answer:

$1.97

Step-by-step explanation:

Answer:

The Domain are 3,-5,2,-3

Step-by-step explanation:

hope that helps

Answer:

The domain is (3, -5, 2, -3

Step-by-step explanation:

Plz give brainlyest

Answer:

The coordinates of point A' will be: A'(-2, 0)

Step-by-step explanation:

We know that a translation is basically a transformation that occurs when an object is moved from one place to another place.

Translation does not change the size, orientation, or shape of the original object.

Translating a point P(x, y) 4 units up means we need to add to use P'(x, y+4), that is adding 4 units to the y-coordinate of the point P'(x, y).

Now we have to translate the triangle 4 units up. So, use the formula

P(x, y) → P'(x, y + 3)

Thus, the coordinates of point A' will be:

A(-2, -3) → A'(-2, -3+3) → A'(-2, 0)

Therefore, the coordinates of point A' will be: A'(-2, 0)

Answer: m =11

Step-by-step explanation:Use the slope formula to find the slope  

m

.

Answer: y+3= -1/4(x-8)

Step-by-step explanation: so if y-y1=m(x-x1) and y1= -3 and x1=8 and m=(-1/4) u just plug in those number to the equation

Answer:

PA = 20 units

NL = 20 units

Step-by-step explanation:

Property of a rectangle,

"Diagonals of a rectangle are equal in measure and divide each other in two equal parts"

By using this property,

PT = TL

(x + 3) = (3x - 11)

3x - x = 11 + 3

2x = 14

x = 7

Length of PT = (x + 3) = 10

Length pf PA = 2(PT) = 20 units

Length of NL = PA = 20 units

Answer:

slope = 5

y intercept = -3

Equation = y=5x-3

Step-by-step explanation:

-8-7/(-1-2)=5

plug in a point to find y intercept

7=5(2)+b

solve for b

b=-3

write final equation:

y=5x-3

(can I get brainliest please)

Answer:

x = 120

Step-by-step explanation:

Given

0.25(x + 4) - 3 = 28 ( add 3 to both sides )

0.25(x + 4) = 31 ( divide both sides by 0.25 )

x + 4 = 124 ( subtract 4 from both sides )

x = 120

The value of x that satisfies the equation 0.25(x + 4) - 3 = 28 is x = 120.

Here, we have,

To solve the equation 0.25(x + 4) - 3 = 28, we will follow these steps:

Let's go through each step in detail:

Step 1: Distribute the 0.25 to the terms inside the parentheses.

0.25(x + 4) - 3 = 28

Distribute 0.25 to (x + 4):

0.25x + 0.25 * 4 - 3 = 28

Step 2: Simplify the equation by combining like terms.

0.25x + 1 - 3 = 28

Simplify 0.25 * 4:

0.25x + 1 - 3 = 28

0.25x - 2 = 28

Step 3: Isolate the variable x on one side of the equation.

To isolate the variable x, we want to get rid of the constant term -2 on the left side.

We can do this by adding 2 to both sides:

0.25x - 2 + 2 = 28 + 2

Simplifying:

0.25x = 30

Step 4: Solve for x.

To find the value of x, divide both sides by 0.25:

0.25x / 0.25 = 30 / 0.25

Simplifying:

x = 120

So, the value of x that satisfies the equation 0.25(x + 4) - 3 = 28 is x = 120.

To learn more on equation click:

https://brainly.com/question/14468218

#SPJ6

Answer:

5. y = -1/2x + 6

6.  y = 1/2x + 150

7. y = 10x + 20

8. y = 25x

Step-by-step explanation:

Look at the y-intercept and eliminate the answers you dont need.

Then find the slope of each.