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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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.
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!
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°
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.
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 :)
simplify the expression
2x/(x+4) + 8/(x+4)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[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]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
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
#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
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
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
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.
what's 2+2???????????:]
Answer:
4
Step-by-step explanation:
(-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
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
5(x+3)-3x^2 when x is -1.4
Answer:
The answer would be C.) 2.12
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
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?
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
$290.00 marked up 65%
PLEASE HELP WAS DUE YESTERDAY
Answer:
478.5
Step-by-step explanation:
Hope this helps. Have a great winter break!
Answer:
Revenue: 478.50$
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 ((((:
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
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
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
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
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
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°
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
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.
What is the y-intercept of the function f(x) = -2/9x + 1/3x?
Answer:
Step-by-step explanation:
What is the value of 3/8 x - 4.5 when x =0.4
Find the difference.
60°
30°
40"
50"
40