Answer: The answer is D.
Step-by-step explanation:
When writing a recursive formula, whose initial term is 14 and whose
common difference is -4. Which one represents that theory
Answer:
thx
Step-by-step explanation:
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
To learn more about polynomials click :
https://brainly.com/question/13199883
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Not an emergency question, but it’s kinda important.
Which one is greater 4% or 0.001%
Answer:
4%
Step-by-step explanation:
dude if you got a whole number and a decimal, the whole number is going to be greater (as long as it isn't negative)
Help I’ll give you 20 points!!!
Answer:
∠one and ∠seven
Step-by-step explanation:
PLZ HELP ASAP PLZ AWSER DONT SKIP PLZ ASAP
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
A rectangular carpet has a perimeter of 244 inches. The length of the carpet is 90 inches more than the width. Determine the dimensions of the carpet by solving the equation 2w+2(w+90)=244, where w represents the carpet width.
Answer:
The dimensions of rectangle are:
Width = 16 inches
Length = 106 inches
Step-by-step explanation:
Perimeter of rectangle = 244 inches
Let Width of rectangle = w
Length of rectangle = w+90
We need to find the dimensions (length and width) of the carpet
The formula used will be: [tex]Perimeter=2(length+width)[/tex]
Putting values and making equation:
[tex]244=2w+2(w+90)\\Solving:\\244=2w+2w+180\\244=4w+180\\Switching\:sides\\4w+180=244\\Subtracting\:180\:from\:both\:sides\\4w=244-180\\4w=64\\Dividing\:both\:sides\:by\:4\\\frac{4w}{4} =\frac{64}{4}\\w=16[/tex]
So, we get w = 16
The width w = 16 inches
Now, finding length = w+ 90 = 16+90 = 106 inches
Therefore the dimensions of rectangle are:
Width = 16 inches
Length = 106 inches
In ΔEFG, e = 82 cm, ∠G=35° and ∠E=51°. Find the length of f, to the nearest 10th of a centimeter.
Answer:
105.3
Step-by-step explanation:
deltamath
The length of a rectangle is 4 meters less than twice it's width. If the area of the rectangle is 96 inches, what is the width?
Answer:
w=8 inches
Step-by-step explanation:
w( 2w - 4) = 96
i will give many points and brainlest if you find the area of the polygon
Answer:
28
Step-by-step explanation:
You can split the figure up
3*4/2 = 6
3*4/2 = 6
8*2 = 16
6+6+16 = 28
Please i need help, i can't get this question wrong. Please help, please and thank you
Answer:
D. 48
Step-by-step explanation:
4pi r^2
4 × 3 × 2^2 = 48
Answer:
The answer is D.
Step-by-step explanation:
You only have to substitute π value and r value into the formula :
[tex]s.a = 4\pi {r}^{2} [/tex]
[tex]let \: \pi = 3,r = 2[/tex]
[tex]s.a = 4 \times 3 \times {2}^{2} [/tex]
[tex]s.a = 12 \times 4[/tex]
[tex]s.a = 48 \: {m}^{2} [/tex]
is (6,5) for y = 5x - 25 a solution
Answer:
Yes.
Step-by-step explanation:
When you plug in 6 for x and solve for y, you get 5.
y=5(6)-25
y=30-25
y=5
When X is 6, Y is 5.
You put $2500 in a bank account with 5% interest
1. How much money will you earn in interest?
2. How much money will be in your account after 1 year?
Help !!!! this due in 15 minutes!!
Answer:
See explanation
Step-by-step explanation:
for -2x+4=4 the slope is y=2x-4
for -3x+2y=6 the slope is y=3/2x+3
for -3x+2y=6 the y-intercept is y=3 or (0,3)
(you can plug into desmos to check :) )
In the equation, 4x + 5 = 21, what is the first step in the order of
operations, to solve for x? *
Answer:
The first step you would have to do would be get 4x by itself
Step-by-step explanation:
So it would be 4x +5 = 21
-5 and -5
So it would be 4x = 16
10
8
6
4
2
X
-10
-8
-6
-4
-2
0
2
4
6
8
10
-2
-4
What is the equation of the line in slope-intercept form?
arm
N
Answer:
This link has all the answers for that quiz: https://brainly.com/question/19699782?answering=true&answeringSource=greatJob%2FquestionPage%2F1
The two right triangles below are similar. What is x,
the missing side length in triangle DEF?
10
3.75
12
9.75
Answer:
13/12 = x/9
Cross mulitply.
X=9.75
Step-by-step explanation:
Which equation represents the axis of symmetry
for the function y =-4(X+6)* +4?
A X=6
B X=4
C X=-6
X=-4
Find the solution of this system of equations
5x = -10 - 5y
5x + 10y = -25
Answer:
y=10
Step-by-step explanation:
4. (03.02) Factor completely x2 - 9x + 20. (1 point)
Answer:
(x-4)(x-5)
Step-by-step explanation:
x² - 9x + 20
x²-4x-5x+20
x(x-4)-5(x-4)
(x-4)(x-5)
Answer:
Hope it can help you and please mark me as a brainlist..
Im suppose to select the number line that goes with the inequalities.
Answer:
Number line C
Step-by-step explanation:
First, you isolate x. This gives you x>=3+4 or x>= 7. Next, you find a number line greater than or equal to which cancels out A and D. Now whichever line starts on 7, is the answer which is C
Answer:
C
Step-by-step explanation:
If you solve the equation your answer will be x≥7
This is a less than or equal to 7 so the point on the graph will be closed (or filled in) which means your closed point goes on 7 and goes down the line to the left because of the direction of the sign. (less than)
A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by ℎ = −16푡 ଶ+103푡+5 where t is time (in seconds).
Question:
A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by h(t)=-16t^2+80t+5, where t is measured in seconds. Write an equation to determine how long it will take for the ball to reach the ground.
Answer:
[tex]t = 5.0625[/tex]
Step-by-step explanation:
Given
[tex]h(t)=-16t^2+80t+5[/tex]
Required
Find t when the ball hits the ground
This implies that h(t) = 0
So, we have:
[tex]0=-16t^2+80t+5[/tex]
Reorder
[tex]-16t^2+80t+5 = 0[/tex]
Using quadratic formula, we have:
[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = -16[/tex] [tex]b =80[/tex] [tex]c = 5[/tex]
So, we have:
[tex]t = \frac{-80\±\sqrt{80^2 - 4*-16*5}}{2*-16}[/tex]
[tex]t = \frac{-80\±\sqrt{6400 +320}}{-32}[/tex]
[tex]t = \frac{-80\±\sqrt{6720}}{-32}[/tex]
[tex]t = \frac{-80\±82.0}{-32}[/tex]
This gives:
[tex]t = \frac{-80+82.0}{-32}[/tex] or [tex]t = \frac{-80-82.0}{-32}[/tex]
[tex]t = \frac{2}{-32}[/tex] or [tex]t = \frac{-162}{-32}[/tex]
[tex]t = -\frac{2}{32}[/tex] or [tex]t = \frac{162}{32}[/tex]
But time can not be negative.
So, we have:
[tex]t = \frac{162}{32}[/tex]
[tex]t = 5.0625[/tex]
Hence, time to hit the ground is 5.0625 seconds
Which relations are functions
Select function or not a function for each graph
PLS HELP
Answer:
The first and second one are functions, the rest are not
Step-by-step explanation:
Answer:
They actually can all be functions
What is - 2 x 6 - 5^2?
Answer:
The answer is -300
Step-by-step explanation:
The answer is -300 because -2 multiplied by 6 is -12 and -12 times 25 is -300
marlin is the first mate on a very successful fishing charter boat. last year marlin total income was $41,906. which equation could marlin use to determine the amount he made tips, t, he was paid $27 for every hour, h , he works
A. 27h - t =41906
B. 27h + t =41906
C. 41906h + 27 = t
D. 41906h - 20= t
Karen correctly solved
X^2 + 3x = 18 using the factoring method what solutions did Karen find?
A. {-3, 6}
B. {-6, 3}
C. {2, -9}
D. {-2, 9}
Answer
d
Step-by-step explanation:
lus
Donna is making blueberry muffins. She
wants to make a batch that is six times
larger than her recipe makes. Her recipe
calls for 1 cup of blueberries. How many
cups of blueberries will she need?
Answer:
6? cause it is six times bigger so six
PLEASE HELP!!!!
Find the slope of a line that contains (18, -7) and (18, 2)
Give the domain and range of the relation. Tell whether the relation. Tell whether the relation is a function.
Answer:
It is the 4th option. Domain -3 ≤ x ≤ 3. Range -2 ≤ y ≤ 2. This is not a function since it does not pass the vertical line test.
I need 2x+6 but when I solve it it’s wrong
Answer:
x=48
Step-by-step explanation:
2x+6=96
subtract 6 from both sides
2x=96
divide both sides by 2
x=48
xoxo, your highness...Answer:
x = 88
Step-by-step explanation:
Please help!! Due really soon!
“Write a rule in function notation that fits the data”
I’ll mark you the brainliest! Please :)
9514 1404 393
Answer:
f(x) = 6x +1
Step-by-step explanation:
Differences in x-values (first row) are 1, 1, 1.
Differences in y-values (second row) are 6, 6, 6.
The constant ratio of differences (6/1) tells you the function is linear, and has a slope of m = 6/1 = 6.
Using the first point in the form ...
y = mx + b
we have ...
y = 6x + b
7 = 6·1 + b . . . . (x, y) = (1, 7)
1 = b . . . . . . subtract 6
Then the equation can be written ...
y = 6x +1
In functional form, this is ...
f(x) = 6x +1