A line of best fit is f(x) ≈ −0. 86x 13. 5 for the set of points in the table. A 2-column table with 7 rows. The first column is labeled x with entries 2, 3, 5, 6, 7, 8, 9. The second column is labeled f(x) with entries 12, 10, 10, 8, 9, 5, 6. Using the equation for the line of best fit, what is a good approximation for the value of the function, f(x), when x = 18? −5 −2 3 12.

Answers

Answer 1

The good approximation for the value of the function, f(x), when x = 18 is -2.

Given

A line of best fit is for the set of points in the table.

What is the linear equation?

The standard form of the linear equation is;

[tex]\rm y =mx+c[/tex]

Where m is the slope of the line and c is the intercept.

Therefore,

By using the equation for the line of best fit, what is a good approximation for the value of the function, f(x), when x = 18 is;

[tex]\rm f(x) = -0.86x + 13.5\\\\f(18)= -0.86(18)+13.5\\\\f(18)= -15.48 + 13.5 \\\\ f(18)= -1.98[/tex]

Hence, The good approximation for the value of the function, f(x), when x = 18 is -2.

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Related Questions

An irregular polygon is shown below:
The area of the irregular polygon is ___ square units.

Image of irregular polygon with length of 7 units and height of 3 units labeled on left side. Top side length of 4 units, the side adjacent to it on the right is 2 units.

Answers

Answer:

The other person is wrong. Its 15. Not 1.5

Step-by-step explanation:

I took the test.

A zoo records the weight of a newborn elephant as 200 pounds….

Answers

the elephant is 200 pounds

4.
12^2x-1 = (V 12)^x

15points

Answers

Answer:

[tex] {12}^{2x - 1} = ( \sqrt[4]{12} )x \\ \\ {12}^{2x - 1} = ( {12}^{ \frac{1}{4} } )x \\ \\ {12}^{2x - 1} = {12}^{ \frac{x}{4} } \\ \\ 2x - 1 = \frac{x}{4} \\ \\ 2x \times 4 - 4 = \frac{x + 4}{4} \\ \\ 2x \times 4 - 4 = x \\ \\ 8x - 4 = x \\ \\ 8x - x = 4 \\ \\ 7x = 4 \\ \\ x = \frac{7}{4} \\ \\ x = 3.5[/tex]

Lin is taking out a loan in the amount of $575. Her choices for the loan are a 7-year loan at 4.5% simple interest and 8-year loan at 3.9% simple interest. What is the difference in the amount of 5% interest Lin would have to pay for each of these nd two loans? (Round to the nearest cent.)

Answers

Answer:  $1.73

=======================================

Explanation:

The simple interest formula is

i = P*r*t

that calculates the interest only

---------------

Let's calculate how much interest Lin will pay back if she goes with the 7 year loan at 4.5% simple interest rate.

i = P*r*t

i = 575*0.045*7

i = 181.125

i = 181.13

Repeat for the other loan (8 years, 3.9% simple interest)

i = P*r*t

i = 575*0.039*8

i = 179.40

Subtract the results

181.13 - 179.40 = 1.73

She saves $1.73 if she goes with the second loan.

Jillian walked 0. 5 miles before she started jogging at an average pace of 5 miles per hour. The equation d = 0. 5 5t can be used to relate the total distance, d, in miles to the time, t, that Jillian spent jogging. What are the independent and dependent variables?.

Answers

Answer:

The independent Variable is Time, and the dependent variable is Distance

Step-by-step explanation:

help help help please ​

Answers

Answer:

{9,14,20}

Step-by-step explanation:

hope it helps

It’s C (9,14,20) I know this because I just took a quiz with the same problem and it was correct

Question content area top Part 1 A baby outfit uses 4/9 square yard of fabric for the hat and 1/9 square yard of fabric for the bib. A tailor has 4 4/9 square yards of fabric. How many baby outfits can ​make?

Answers

The tailor can make 8 outfits with 4 4/9 square yards of fabric

Ratios and proportions

Given the following parameters;

A baby outfit uses 4/9 square yards of fabric for the hat and 1/9 square yards of fabric for the bib.

The total fabric used by a baby = 4/9 + 1/9The total fabric used by a baby = 5/9 square yards

A tailor has 4 4/9 square yards of fabric, then the total outfit the tailor can make is expressed as:

total outfit = 40/9 ÷ 5/9

total outfit = 40/5

total outfit = 8 outfits

Hence the tailor can make 8 outfits with 4 4/9 square yards of fabric

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(6x4) divided by 2 im in elementary

Answers

Answer:

(6x4)divided by 2

6 x 4 =24

24/2

=12

) Find the average rate of change of F over the first three weeks, i.e. 0<_d<_ 21. Show the calculation that
leads to your answer. Give proper units and round your answer to the nearest tenth. What is the physical
interpretation of your answer?

Answers

The average rate of change of the function is of 5.44, which means that each day, there are 5.44 new cases on average.

What is the average rate of change?

The average rate of change of a function is given by the change in the output divided by the change in the input, that is, considering a function f(t) on an interval [a,b], the rate is:

[tex]R = \frac{f(b) - f(a)}{b - a}[/tex]

In this problem, the function which gives the number of flu patients after d days, [tex]0 \leq d \leq 21[/tex], is of:

[tex]f(t) = 10^{0.12d}[/tex]

Hence:

[tex]f(0) = 10^{0.12(0)} = 10[/tex]

[tex]f(21) = 10^{0.12(21)} = 124.3[/tex]

Then, the rate is:

[tex]R = \frac{124.3 - 10}{21 - 0} = 5.44[/tex]

The average rate of change of the function is of 5.44, which means that each day, there are 5.44 new cases on average.

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Which THREE statements are correct for the angles shown on the figure?

A) x° + 4x° - 85° = 90°
B) x° + 4x° - 85° = 180°
C) ∠ABD and ∠CBD are supplementary
D) ∠ABD = 35°
E) ∠CBD = 55°

pls help!!

Answers

Answer:

A D E

Step-by-step explanation:

the figure shows that ABC is 90 degrees. So the two smaller angles add to 90 making A correct. (B isn't for obvious reasons - 180 is not 90.)

x + 4x - 85 = 90               Solve this to find the other 2 correct statements

5x - 85 = 90                    Add 85 to both sides.

5x = 90 + 85                    Combine

5x = 175                            Divide by 5

5x/5 = 175/5

x = 35

Since ABD is a single x, that statement (D) is true.

4x - 85 = 4*35 - 85 = 140 - 85 = 55 which makes E true as well

please help ASAP find value of x !!!! please please ​

Answers

40 the process is shown in the following picture

If time t increases by 1 second, by how much does the distance dchange? How is this change represented in a table? In a graph?2. If t increases by 5 seconds, by how much does d change? How is thischange represented in a table? In a graph?3. What is the walking rate per minute? The walking rate per hour?Alana : 1 meter per secondGilberto: 2 meters per secondLeanne : 2.5 meters per second

Answers

The relationship between the time and the distance walked is an illustration of a linear equation.

The change in distance when time increases by 1 second

From the table, we have the following equations:

Alana: y = xGilberto: y = 2xLeanne: y = 2.5x

The above equations mean that if time t increases by 1 second,

Alana's distance increases by 1 meterGilberto's distance increases by 2 metersLeanne's distance increases by 2.5 meters

The change in distance when time increases by 5 seconds

When time increases by 5 seconds, the rate is multiplied by 5

This means that:

Alana's distance increases by 5 metersGilberto's distance increases by 10 metersLeanne's distance increases by 12.5 meters

The walking rate per minute

The walking rate per minute is the unit rate or slopes of the linear equations.

So, the walking rates per minute are:

Alana's walking rate = 60 meters per minuteGilberto's walking rate = 120 meters per minuteLeanne's walking rate = 150 meters per minute

Read more about linear equations at:

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List 5 multiples 12 and 8

Answers

Answer:

Answer listed below.

Step-by-step explanation:

Multiples of 8

8, 16, 24, 32, 40

Multiples of 12:

12, 24, 38, 48, 50

Hope that helps!

How significant are the laws of exponent in your daily life?

Answers

Very significant, I know this because it’s very very obvious and anyone else would know it honestly

Vicky has 11 keys, and there are 11 different lockers, and the 11 keys to open the 11 lockers are mixed together. How many times at most will Vicky have to try to match these 11 lockers with the right keys?​

Answers

Answer:

There is no way to predict this because it could take her anywhere from 11 to 66 tries

PLEASE HELP! 20PTS!! A plane rises from takeoff and flys at an angle of 8° with the horizontal runway. When it has gained 800 feet, find the distance, to the nearest foot, the plane has flown.

Answers

Answer:

5748

Step-by-step explanation:

Sari is factoring the polynomial 2x2+5x+3. If one factor is (x+1), what is the other factor?

Answers

Answer:

(2x + 3)

Step-by-step explanation:

[tex]2x^2 + 5x + 3[/tex]

Factor by grouping:

[tex]2x^2 + 2x + 3x + 3[/tex]

[tex]2x(x + 1) + 3(x + 1)[/tex]

[tex](2x + 3)(x + 1)[/tex]

Then, take the factor that isn't (x + 1) so you get:

[tex](2x + 3)[/tex]

which is the answer.

What is the correct interpretation of the point (250, 0)? The average price per ticket is $250. The minimum price per ticket is $250. The maximum difference paid is 250%. The average difference is 250%.

Answers

The point (250,0) of the graph represents that the average price per ticket is $250.

Given to us

x is the price the passenger paid

f(x) is the positive percent difference

What is the correct interpretation of the point (250, 0)?

We know that a coordinate is written in the form of (x, y), therefore, the point (250, 0) represents that the price of the ticket is 250, while the 0 in the coordinate represents that there is no percentage difference. Since the point (250,0) is the mid-value of the x-axis on the graph, we can say that $250 is the average price of the ticket.

Hence, the point (250,0) of the graph represents that the average price per ticket is $250.

Learn more about Graph:

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13 ft circle
Radius:
Circumference:
Diameter:
Area:

Answers

Answer:

Radius: 6.5 ft

Circumference: 40.82 ?

Diameter: 13 ?

Area: 132.665 ???

Step-by-step explanation:

Not 100% sure abt the last 3 answers but im like 89% sure

tan64.3 equal to c over 115

Answers

Answer:

c=238.95

Step-by-step explanation:

just trig :)

round 78,098 to the nearest hundred i need help PLEASE

Answers

Answer:

78,100

Step-by-step explanation:

NEED HELP ASAP WILL GIVE BRAINLIEST
The side of a square is 3cm smaller than one of the sides of a rectangle and 2 cm greater than its other side. Find the side of the square if its known that the area of the square is 30cm2 less than the area of the rectangle

Answers

Step-by-step explanation:

s = side of square

l = length of rectangle = s + 3 cm

w = width of rectangle = s - 2 cm

s² + 30 = (s + 3)(s - 2) = s² + - 2s + 3s - 6 = s² + s - 6

30 = s - 6

s = 36 cm

i need help plz :( i will give brainlist​

Answers

Answer:

it's C because the slopes are the same but the y intercepts are different

7th grade math , help me !

Answers

The answer is 31.4 I remember doing this

B. 31.4 (pi) units

C. 31.4 units

A. 10 (pi)

Explanation:

Well since the equation to find circumference is C = 2(pi)r

And 10(pi) is exactly 2(pi)r, it’s not the answer.

And if we use 3.14 as an estimate for (pi), then 31.4 is also true for the circumference, because 10•3.14=31.4.

Also 10(pi) is more acurate then 31.4 because (pi) isnt exactly 3.14 its more like 3.1415926535...

Hope this Helps!

sum of three like fractions is 18/11. the first 2 fractions are 1/11 and 9/11. find the third fraction.

please help me quick

Answers

Answer:

[tex]\frac{8}{11}[/tex]

Step-by-step explanation:

Since the fractions are like, their denominators are 11, then

consider the values that sum to give 18 , that is

1 + 9 + ? = 18

10 + ? = 18 ( subtract 10 from both sides )

? = 8

Then the third fraction is [tex]\frac{8}{11}[/tex]

Please solve this fastly

6pq (25p2 - 4q2 ) ÷ 3pq (5p + 2q)

Answers

Answer:

150p³q-24pq³/15p²q+6pq²

150p-4q

Step-by-step explanation:

Can any one help with this

Answers

Answer:

I know this isn't the whole answer but basicely just keep doing this to find the y-incercept

slope=-2.46

Hope This Helps!!!

Answer:

y = -2.46 + 22.5606

Step-by-step explanation:

( - 6 , 11.61 ) , ( -5 , 9.15 )

m = ( 9.15 - 11.61 )/(-5--6)

m = -2.46

y - y1 = m( x - x1 )

y - - 6 = -2.46( x- 11.61 )

y = -2.46 + 22.5606

Please let me know if this is correct and if not what is the correct answer. Thanks

Answers

There’s nothing on the picture

Answer:

is it about your future profession or your dream

Step-by-step explanation:

Joana prepared 6 kilograms of dough after working 3 hours. How many hours did joana work if she prepared 8 kilograms of dough?​

Answers

Answer:

4 hours

Step-by-step explanation:

We can set up a proportion of kilograms to hours

6 kilograms/3 hours=8 kilograms/x hours

We can cross multiply to get 6x=24 and x=4

If a car's average gas mileage is 34 miles per gallon of gasoline and it travels 153 miles, how many gallons of gasoline has it used? Do not round your answer. The car has used ___gallons of gasoline.

PLEASE HELP THIS IS URGENT!!!!
WORTH 10 POINTS

Answers

Answer: 4.5 gallons

Step-by-step explanation:

Gallons of gas = # of miles / miles per gallon. Therefore:

153 miles/34 miles per gallon = 4.5 gallons

Answer:

4.5 gallons

Step-by-step explanation:

The car travelled 153 miles and gets 34 miles per gallon. So for every 34 miles it uses one gallon. 153 miles ÷ 34 miles per gallon = 4.5 gallons.

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