Answer:
25 percent
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
ndld
HELP ASAP
Daniel works at a drive-thru restaurant. He has been keeping track of the number of vehicles that go through the drive-thru each hour in the table shown, where x is the number of hours since opening and f(x) represents the total number of vehicles.
Table:
x f(x)
1 18
2 38
3 60
4 78
5 93
6 117
7 143
Which polynomial function best models the data?
A) f(x)=0.4048x^2+16.9762x+2.1429
B) f(x)=0.3611x^3−3.9286x^2+31.7817x−10.8571
C) f(x)=0.3611x^3−4.4048x^2+35.5913x−15.1429
D) f(x)=0.072x^4−0.7904x^3+2.2917x^2+18.8683x−2.7143
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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PLEASE HELP
Find the value of x. Write your answer in simplest radical form, if necessary.
The value of 'x' or the length of the base of the triangle is [tex]\sqrt{141}[/tex] units.
What is a triangle?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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Solves a systems of linear equations in two variables.
Solve the following systems by graphing
1) 2x + y = 5 and x-3y = - 8
2) 6x - 3y = - 9 and 2x + 2y = -6
Solve the following systems by substitution
3) y = 5x-3 and -x - 5y = - 11
4) 2x - 6 = 24 and x - 5y - 22
Solve the following systems by elimination
5) - 4x - 2y = -2 and 4x + 8y = -24
6) x - y = 11 and 2x + y = 19
Solve for n.
- 24 -6n= -42
Answer:
n=3
Step-by-step explanation:
Answer:
n=3
Step-by-step explanation:
-24 -6n = -42
+24 (move to other side)
-42 + 24 = -18
-6n = -18
to move the -6 to the other side you divide
-18 divided by -6 is 3
n=3
plzzzz some one help I want step by step I'm confused What's 5⁄6 of £300
Answer: 15
Step-by-step explanation:
A rectangle has width (2x + 3) and length (2x - 4). What is the AREA of the rectangle?
Answer:
85
Step-by-step explanation:
help
ques starts frm a rectangular garden
Answer:
this is the full solution of your question
I need help with this, I can't figure it out.
Answer:
- 4, 13, - 21, 47
Step-by-step explanation:
Using the recursive rule and a₁ = - 4 , then
a₂ = - 2a₁ + 5 = - 2(- 4) + 5 = 8 + 5 = 13
a₃ = - 2a₂ + 5 = - 2(13) + 5 = - 26 + 5 = - 21
a₄ = - 2a₃ + 5 = - 2(- 21) + 5 = 42 + 5 = 47
Thus the first 4 terms are - 4, 13, - 21, 47
Yo can I get some help with this question
Answer:
Step-by-step explanation:
D is congruent to b so the answer is equal to 45 + 3x -10 + 2x + 10 = 180 . this can be to 45 + 5x = 180, and further to 5x + 135 to x=27
-(4x - 5) + 16x ≥ -31
can you solve this inequality equation?
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 :)
there are 50 kilometers in 31 miles. which representation does NOT show the same relationship?
Answer:
There's no options
Step-by-step explanation:
Answer:
Options please
Step-by-step explanation:
The function y - 3 = 4(x + 2) is in point-slope form. Select the equivalent equation in slope-intercept form
All we need to do is solve for y.
[tex]y - 3 = 4(x + 2)\\\\y - 3 = 4x + 8\\\\y = 4x + 11[/tex]
The answer is A. y = 4x + 11.
Blake sold 17 verses for $3.25 each he spent $16.21 on materials to make the vases what is the profit
Answer:
We can calculate what did he get, as we know he sold 17 vasess for 3.25 dollars each of them, we can multiply:
17 * 3.25 = $55.25
Now, we know he got 55.25 dollars but he spent 16.21, so we substract:
55.25 - 16.21 = $39.04
His profit selling that is of 39.04 dollars..
Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
2nd answer
Step-by-step explanation:
Questions in pic plz help
Answer:
i think its c
Step-by-step explanation:
the table below shoes the rates for two duplicating companies. quick copy copy place initial fee of $5.00 initial fee of $10.00 $0.06 per page $0.04 per page the total cost, c, is dependent on the number of pages, p, that are duplicated. which of these systems of equations represents this situation? p = 5 + 6c p = 10 + 4c ⊝ c = 5 + 6p c = 10 + 4p ⊝ p = 5 + 0.06c p = 10 + 0.04c ⊝ c = 5 + 0.06p c = 10 + 0.04p
Answer:
:
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The system of equations representing the rates for two duplicating companies are -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have the rates for two duplicating companies. There are two different rates as-
[1] > initial fee of $5 and $0.06 per page.
[2] > initial fee of $10.00 and $0.04 per page.
For the [1] company, we can write the equation as -
C[1] = 5 + 0.06x
For the [2] company, we can write the equation as -
C[2] = 10 + 0.04x
So, the system of equations will be -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
Therefore, the system of equations representing the rates for two duplicating companies are -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
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Answer ASAP!! There is only a blank circle on the left
Answer:
i think its 1000
Step-by-step explanation:
A restaurant customer left $ as a tip. The tax was and the tip was % of the after tax cost. Which information is not needed to compute the bill after tax and tip? What was the total bill?
Complete question :
A restaurant customer left $0.90 as a tip. The tax was 8% and the tip was 10% of the after tax cost. Which information is not needed to compute the bill after tax and tip? What was the total bill?
Answer:
The tax percentage
9.9
Step-by-step explanation:
Guven that :
Amount of tip left = 0.90
Tip left = 10% of after tax cost
Tax % = 8%
If tip left = 10% of after tax cost; then ;
If after tax cost = x
10% of x = 0.90
0.1x = 0.9
Hence the percentage tax isn't needed :
To obtain the total bill:
Let total bill = y
y = after tax cost and tip
Hence,
y = x + tip
y = x + 0.9
From : 0.1x = 0.9 ; x = 0.9/0.1 = 9
Hence,
Total bill:
y = 9 + 0.9
y = 9.9
-x/3 = -998
please help fast!!!
what does x equal?
Answer:
2994=x
Step-by-step explanation:
-x/3=-998
multiply 3 on both sides
-x=-2994
x=2994
Hope this helps you!
#Team Rainbows~
The expression 2y+ 2.6 is equal to ? for y=5
Answer:
Its 12.6
Step-by-step explanation:
first we multiply 2 by 5 and get 10. Then we add 10 to 2.6 and get 12.6 for your answer.
Answer: 12.6
Step-by-step explanation:
2(5)+2.6
10+2.6
12.6
The point (1,0) lies on the graph of
P(x) = x^4 - 2x^3 - x+2
A. True
B. False
Answer:
The given statement is true.
Step-by-step explanation:
Given function is:
[tex]P(x) = x^4 - 2x^3 - x+2[/tex]
And the given point is:
(1,0)
In an ordered pair, the first element is the input and second is the output. If we plug in the input to the function and get the respective output then the point lies on the graph of function.
For (1,0) we will put x = 1 in function and check whether we get 0 as output
[tex]P(x) = (1)^4 - 2(1)^3 - 1+2\\= 1-2(1)-1+2\\= 1-2-1+2\\=0[/tex]
Hence,
The given statement is true.
Answer:
A. True
Step-by-step explanation:
Write an equation for the line that passes through
(2,7) and (-1,-8)
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)
i need help because i dont understand it
Answer:
6,371.15
Step-by-step explanation:
3.14 times 13^2 times 12
Answer:
Volume equals pi times radius to the power of 2 times height
that will be pi times 13^2 times 12= 6,367.92
radius is the 13 and you have to put it to the power of 2 and multiply it by 3.14 which is pi and multiply it by 12 and the answer is 6,367.92
Step-by-step explanation:
The side of a cube is increasing at a rate of 2 kilometers per hour. At a certain instant, the side is 1.5. What is the rate of change of the volume of the cube at that instant (in cubic kilometers per hour)?
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]
How much are these coins worth?
Answer:
$1.97
Step-by-step explanation:
According to the boxplot shown below, what is the third quartile (Q3) value?
4
11
27
49
Answer:
Step-by-step explanation:
the answer is 49.0 so it’s d I just took the test
Four times the sum of a number and seven is twenty three.
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.
ILL GIVE YOU BRAINLEST PLEASE THIS IS THE ONLY QUESTION I HAVENT ANSWER!
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.
Rewrite the following equation in standard form.
y + 7 = 2(x - 6)
Answer:
(-5)
Step-by-step explanation:
(-5)+7=2(×-6) fahhshzhsuhshzhhsbwysvavaghahahahwhwgwvavvwhhwshahwh
What is the domian of the following represented by ordered pairs?
{(3, 7), (-5, 1), (2, 4), (-3, 6)}
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
