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
What is a polynomial?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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The angles of a triangle are in an extended ratio of 5:7:3. What is the measure of the
largest angle?
Answer:
84°
Step-by-step explanation:
Let the measures of the triangle be 5x, 7x, 3x.
By interior angle sum postulate of a triangle.
5x + 7x + 3x = 180°
15x = 180°
x = 180°/15
x = 12°
7x = 7*12°= 84°
Measure of the largest angle = 84°
Charlie bought 2 3/4 pounds of pears for $0.76 per pound and 2 3/4 pounds of grapes for $1.40 per pound. How much money in dollars and cents did charlie pay for the pears and grapes.
Answer
Charlie paid $5.94
Step-by-step explanation:
0.76x2 3/4=2.09
1.40x2.75=3.85
3.85+2.09=$5.94
5(x+3)-3x^2 when x is -1.4
Answer:
The answer would be C.) 2.12
7th grade
HELP MEEEE!
due today
Answer:
A.
Step-by-step explanation: Because as you see the dot is past the 2 and is on the third line out of 4, the 4th line is the next number.
HELP PLSSSSSS
Examine the figure below.
Determine which of the following angle measures are correct. Select all that apply.
Answer:
I believe the answer is A, C
please help!!
Find the slope of the line. Enter your answer as
a number, fraction, or undefined. Reduce to
lowest terms where necessary.
Answer:
m = undefined
General Formulas and Concepts:
Algebra I
Vertical Line Test - Tells us if a graph is a functionVertical Lines - slopes are undefinedStep-by-step explanation:
If the slope m was equal to 0, then it would be a horizontal line rather than a vertical line.
Using the Vertical Line Test, we also know that the graph is not a function.
Usually a vertical line has an undefined slope, as x equals a certain number, and m = unknown.
Answer: It's undefined, because it's vertical
Discount and Tax examples for math... HELP!!!!
Answer:
Cathy bought a bicycle in Washington, where the sales tax rate was 6.5% of the purchase price. What was (a) the sales tax and (b) the total cost of a bicycle if the purchase price of the bicycle was $392?
what's 2+2???????????:]
Answer:
4
Step-by-step explanation:
Factoring Quadratics
1. X^2-25=0
(x+5)(x-5)
when you have a negative square number, you do + and - the square root :) it would not work if you were given +25
A man left his waiter a $10 tip that was 20% of his bill. How much was the man's bill?
Answer:
50
Step-by-step explanation:
Answer:
The bills total was 50$
Step-by-step explanation:
So 20% is equal to 10 dollars.In order to find out the total you need to reach 100% so 5 mulitplied by 20 is 100 so 10 multiplied by 5 is 50 therefore the bill was 50.
help me plzzzzzzzzzzzzzzzzz
Answer:
717,051
seven hundred seventeen thousand, fifty-one
Step-by-step explanation:
try putting 717,051 into it starting at the hundred thousands place so basically you would put in 7 and then go down one and put in 1 and so on
what is decending order
Descending order is a list of numbers starting at the highest value going to the lowest. For example 10, 8, 5, 2, 1, -1, -4.
I’ll mark you brainlist I’ll mark you brainlist
Answer:
The rate of change is 0 because 0/1=0.
Step-by-step explanation:
hope this helps
Find the difference.
60°
30°
40"
50"
40
A girl was asked to multiply a number by 7/8.instead she divided the number by 7/8and got the result 15 more than the correct result.what is the number
Answer:
x=56
Step-by-step explanation:
number = x
7/8x=8/7x-15
Add 15
15+7/8x=8/7x
Subtract 7/8
15=15/56x
x=56
The number is 56
Hope this helps!
what is 149866.37636 rounded as a whole number
Answer:
149866
Step-by-step explanation:
Hope this helps.
Answer:
149866.
This is because the '.3' part means that you do not have to round the '6' up.
What is the value of 3/8 x - 4.5 when x =0.4
Find the cube root of the fraction 27/512.
A 3/8
B -3/8
C Cannot be done
Answer: can't be done
Step-by-step explanation:
Answer:
The principal, real, root of:
27−−√3
=3
All roots:
3
−1.5+2.59807621i
−1.5−2.59807621i
27 is a perfect cube
1/2x + 3/4 x = 5 - 2.5x
Answer: I don't know if you wanted it to be solved or re-written but the answer is x=4/3 and re-written is 3x=4
$290.00 marked up 65%
PLEASE HELP WAS DUE YESTERDAY
Answer:
478.5
Step-by-step explanation:
Hope this helps. Have a great winter break!
Answer:
Revenue: 478.50$
profit: 188.50$
Step-by-step explanation:
profit
markup = ------------
cost * 100%
hope this helped plz give brainliest if it helped and have a great day ((((:
What is the y-intercept of the function f(x) = -2/9x + 1/3x?
Answer:
Step-by-step explanation:
Brianna is getting materials for a chemistry experiment. Her teacher gives her a container that has 0.25 liter of a liquid in it. Brianna needs to use 0.4 of this liquid for the experiment. How much liquid will Brianna use?
Answer: 0.1 liter
Step-by-step explanation:
From the question, we are informed that Brianna teacher gives her a container that has 0.25 liter of a liquid in it and she needs to use 0.4 of this liquid for the experiment.
The amount of liquid that Brianna will use will be:
= 0.4 × 0.25 liters
= 0.1 liter
simplify the expression
2x/(x+4) + 8/(x+4)
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[tex] \frac{2x}{x + 4} + \frac{8}{x + 4} = \\ [/tex]
[tex] \frac{2x + 8}{x + 4} = \\ [/tex]
[tex] \frac{2(x + 4)}{x + 4} = 2 \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Which point in the coordinate plane represents the number 7+5i in the complex plane?
Answer:
Pythagoras:
ρ
=
√
7
2
+
(
−
5
)
2
=
√
49
+
25
=
8.6
#1.
м.
#
#
4.
3
70
6
N
P
70°
R
S
8
^_^
BY
-+
Answer: flip a table
Step-by-step explanation:
stand GRAB TABLE THEN FLIP
please solve will give brainiest
Step-by-step explanation:
BODMAS
155.5-5.5*20.7
155.5-113.85
=41.65
Answer:
41.65
Step-by-step explanation:
155.5-(5.5*20.7) order of operation
155.5-113.85=
41.65
(-4, -7) and (-6, 9) in slope-intercept form. Show work
Answer:
Equation of line in slope-intercept form is: y = -8x-39
Step-by-step explanation:
Given points are:
(-4, -7) and (-6, 9)
The slope-intercept form is given by the equation
[tex]y = mx+b[/tex]
Here m is the slope of the line and b is the y-intercept.
m is found using the formula
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Here
(x1,y1) = (-4-7)
(x2,y2) = (-6,9)
Putting the values in the formula
[tex]m = \frac{9+7}{-6+4} = \frac{16}{-2} = -8[/tex]
Putting slope in general equation
[tex]y = -8x+b[/tex]
Putting (-6,9) in the equation
[tex]9 = -8(-6)+b\\9 = 48+b\\b = 9-48\\b = -39[/tex]
Putting the value of b we get
[tex]y = -8x-39[/tex]
Hence,
Equation of line in slope-intercept form is: y = -8x-39
help please !
-3 + x/3 = 15
What is x?
Answer:
x = 54
Step-by-step explanation:
Simplify both sides of the equation. Add 3 to both sides.Multiply both sides by 3.Answer:
x = 5
the correct answer is perpendicular I have not received
yes is 54 the correct answer
x-y=11 2x+ y=19 solve using elimanation
Answer:
the answer is [tex]x=10,\:y=-1[/tex]
Step-by-step explanation:
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.
hope this helps :)
Examine the figure below.
B
(4x-16)
6756
(5x+7)
с
A
D
Determine which of the following angle measures are correct. Select all that apply.
OmZBAC = 72°
O
m2BCD = 68°
Om ACB = 112°
m2ABC = 68°
mzBCD=108°
*see attachment for diagram
Answer:
✔️m<BAC = 72°
✔️m<BCD = 108°
Step-by-step explanation:
Given:
m<ABC = (4x - 16)°
m<ACB = (5x + 7)°
Find the numerical value of m<ABC, m<ACB, m<BAC, and m<BCD.
First we need to determine the value of x.
The ∆ given is an isosceles triangle with two equal sides, therefore, the angles opposite the two equal sides would also be equal.
Therefore:
(4x - 16)° + 2(5x + 7)° = 180° (sum of ∆)
Solve for x
4x - 16 + 10x + 14 = 180
Add like terms
14x - 2 = 180
Add 2 to both sides
14x = 182
Divide both sides by 14
x = 13
Find the measure of each angle by plugging in the value of x where necessary:
✔️m<ABC = (4x - 16)° = 4(13) - 16
m<ABC = 36°
✔️m<ACB = (5x + 7)° = 5(13) + 7
m<ACB = 72°
✔️m<BAC = m<ACB (both are base angles of the isosceles ∆, so they are equal)
Therefore,
m<BAC = 72°
✔️m<BCD = m<ABC + m<ACB (exterior angle theorem of a triangle)
m<BCD = 36 + 72 (Substitution)
m<BCD = 108°
Therefore, the angle measures that are correct are:
✔️m<BAC = 72°
✔️m<BCD = 108°