What is the slope and does it pass?

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

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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.

Answer: m =11

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

m

.

Answer:

267.008

Step-by-step explanation:

Answer:

267.008

Step-by-step explanation:

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.

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Answer:

78.5

Step-by-step explanation:

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

Answer:

A

Step-by-step explanation:

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

Answer:

Step-by-step explanation:

if we have 42 students which are divided in group of 4 we will have

42/4=10 groups and 2 students left

if we would have a group out of 3 students, we will have 14 groups and 14 chaperones

a group will have 3 students and one chaperone

42 students and 14 chaperones

Answer:

dV/dt = 13,5 [Km³/h]

Step-by-step explanation:

The volume f the cube is:

V = x³                 where x is a side of the cube, then tacking derivatives with respect to  time on both sides of the equation

dV/dt = 3*x² dx/dt

dx/dt = 2 km/h

at the time when the side x =  1,5 Km

dV/dt = 3* (1,5)²*2   [km³/h]

dV/dt = 13,5 [Km³/h]

Answer:

I believe 7x, 4y, and 1

Step-by-step explanation:

I belive the answer is C.

Answer:

$1.97

Step-by-step explanation:

Answer:

the slope is m=-4/3

Step-by-step explanation:

plz mark brainliest

Answer:

GCF: 4

LCM: 60

Answer:

By two points.

In the figure at the top of the page, the ray would be called AB because starts at point A and passes through B on its way to infinity. Recall that points are usually labelled with single upper-case (capital) letters

Step-by-step explanation:

Answer:

By two points.

In the figure at the top of the page, the ray would be called AB because starts at point A and passes through B on its way to infinity. Recall that points are usually labelled with single upper-case (capital) letters

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:

C - thirteen feet

Step-by-step explanation:

12 feet plus 1 foot is 13

Answer:

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

Answer:

Sales tax was 18%

Step-by-step explanation:

590-500= 90

90÷500=0.18

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.

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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:

i think its c

Step-by-step explanation:

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: 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:

75%

Step-by-step explanation:

Just do long division and get c.75%

Pls mark brainliest

Answer:

75%

Step-by-step explanation:

I swear it is right.

Answer:

this is the full solution of your question