Is the relationship shown by the data linear? If so, model the data with an equation.

Is The Relationship Shown By The Data Linear? If So, Model The Data With An Equation.

Answers

Answer 1

Answer:

The relation is linear

Step-by-step explanation:

Is The Relationship Shown By The Data Linear? If So, Model The Data With An Equation.
Answer 2

Answer:

Yes, the relationship shown is linear. The equation of the line is y=-1.25x-13.25.

Step-by-step explanation:

This data is linear as y decreases at a constant rate. The equation of a line is y=mx+b, where m=slope and b=y intercept

To find m:

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

m=[tex]\frac{(-2)-(-7)}{(-9)-(-5)}[/tex]

m=[tex]\frac{5}{-4}[/tex]

m=[tex]-\frac{5}{4}[/tex]=-1.25

To find b, you can use any of the given points:

(-9,-2)

(-2)=-1.25(-9)+b

-2=11.25+b

-2-11.25=b

b=-13.25

Therefore, using the calculated values for m and b:

y=mx+b

y=-1.25x-13.25


Related Questions

A train leaves the station and has to travel 486km. The train maintains a speed of 120km. After travelling for 3 hours and 15 minutes, how much further does the train have to travel to reach its destination?

Answers

Answer:

I think its 2 hours 30 minutes

Step-by-step explanation:

Given h(x) = -x + 1, find h(0).
Answer:

Answers

Answer:

1

Step-by-step explanation:

Given,

h ( x ) = - x + 1

To find : h ( 0 ) = ?

h ( 0 )

= - ( 0 ) + 1

= 1

Answer: 1

Step-by-step explanation:

h(x) = -x + 1

To Find = h(0)

= -(0) + 1

= 1

Answered by GauthMath if you like pls heart it and comment thanks

Supervisor: "I need you to increase the number of customers you talk to daily by
20%."
Employee: "I talk to an average of 8 customers per hour during an 8 hour shift so
now I'll need to talk to customers per day."
68
77
85
97
160
NEXT

Answers

Answer:

77

Step-by-step explanation:

Currently:

Talk to 8 customers per hour, work 8 hours, so:

Talk to 8*8 = 64 customers.

With the increase:

Has to increase by 20%, so 64 is multiplied by 1 + 0.2 = 1.2. Then

64*1.2 = 76.8

Rounding up, 77 is the answer.

Write the piecewise defined function for the total cost of parking in the garage. That is, state the function C(x), where x is the number of hours a car is parked in the garage.

Answers

Answer:

[tex]C(x) = \left[\begin{array}{ccc}4x &0 \le x \le 2& \\4 +2x &2 < x \le 6& \\16 &6<x\le 8& \end{array}\right[/tex]

Step-by-step explanation:

Given

See attachment for question

Required

The piece-wise function

From the attachment, we have:

(1) $4/hr for first 2 hours

This is represented as:

[tex]C(x) = 4x[/tex]

The domain is: [tex]0 \le x \le 2[/tex]

(2) $2/hr for next 4 hours

Here, we have:

[tex]Rate = 2[/tex]

The total cost in the first 2 hours is:

[tex]C(x) = 4x[/tex]

[tex]C(2) = 4*2 = 8[/tex]

So, this function is represented as:

[tex]C(x) = C(2) + Rate * (Time - 2)[/tex] ----- 2 represents the first 2 hours

So, we have:

[tex]C(x) = C(2) + Rate * (Time - 2)[/tex]

[tex]C(x) =8 + 2(x - 2)[/tex]

Open brackets

[tex]C(x) =8 + 2x - 4[/tex]

Collect like terms

[tex]C(x) =8 - 4+ 2x[/tex]

[tex]C(x) =4+ 2x[/tex]

The domain is:

[tex]2 < x \le 2 + 4[/tex]

[tex]2 <x \le 6[/tex]

(3) 0 charges for the last 2 hours

The maximum charge from (2) is:

[tex]C(x) =4+ 2x[/tex]

[tex]C(6) = 4 + 2*6[/tex]

[tex]C(6) = 4 + 12[/tex]

[tex]C(6) = 16[/tex]

Since there will be no additional charges, then:

[tex]C(x) = 16[/tex]

And the domain is:

[tex]6 < x \le 8[/tex] --- 8 represents the limit

So, we have:

[tex]C(x) = \left[\begin{array}{ccc}4x &0 \le x \le 2& \\4 +2x &2 < x \le 6& \\16 &6<x\le 8& \end{array}\right[/tex]

I need help this is confusing to me

Answers

Answer:i think it is b not really sure      

Step-by-step explanation:

how do i find the area of a cone when all i get is radius and theta? radius = 5 theta = 52°

Answers

Answer:

11.34464...

Step-by-step explanation:

it is not a 3-dimensional cone, it is a 2-dimensional segment of a circle. and you need to find its area.

which is also why you are asked to find the area, because for a 3-dimensional object you would have been asked about the volume of the surface.

now, about a circle and its segments.

you know how to get the area of a circle ?

it is pi×r²

that is for the full circle.

you know how many degrees it is to go "full circle" ?

360 degrees.

so, here we have only a segment of 52 degrees out of the full 360 degrees.

in other words we are dealing with 52/360 = 13/90 of the full circle.

all we have to do is therefore multiply the area of the full circle with that fraction, and we have our result.

pi×r²×13/90 = pi×5²×13/90 = pi×5×13/18 = 11.34464...

Which of the following choices is equivalent to -6x > -42?

Answers

Answer:

Where is the rest?

Step-by-step explanation:

%7"7:7;9

Find the area of the figure. (Sides meet at right angles.)

Answers

Answer:

[tex]9 \times 2 = 18 \: \: \\ 4 \times 5 = 20 \\ 20 + 18 = 38 \\ 38 {in}^{2} [/tex]

hi please give brainly

Find the inequality represented by the graph

I'm using khan academy btw

Answers

Answer:

Step-by-step explanation:

slope of line through (0,0) and (4,3) =(3-0)/(4-0)=3/4

eq. of line is y-0=3/4(x-0)

y=3/4 x

put x=4

y=2

2=3/4×4

2=3

which is true if 2<3

2<3

so y<3/4 x

Simplify: −4(b+6)−2b(1−4b

Answers

Step-by-step explanation:

-4b-24-2b+8b2

8b2-6b-24=0

A bicycle with 24-inch diameter wheels is traveling at 12 mi/h.

What is the exact angular speed of the wheels in rad/min?
Number rad/min:

How many revolutions per minute do the wheels make?
The answer must be rounded to three decimal places by the way.

Answers

9514 1404 393

Answer:

1056.000 radians per minute168.068 revolutions per minute

Step-by-step explanation:

The linear speed 12 mi/h translates to inches per minute as follows:

  (12 mi/h) × (5820 ft/mi) × (12 in/ft) ÷ (60 min/h) = 12,672 in/min

The relationship between arc length and angle is ...

  s = rθ

For a constant radius, the relationship between linear speed and angular speed is ...

  s' = rθ'

  θ' = s'/r = (12,672 in/min)/(12 in) = 1056 rad/min

There are 2π radians in one revolution, so this is ...

  (1056 rad/min) ÷ (2π rad/rev) = 168.068 rev/min

Consider the following. fourteen less than the total of a number and three Translate into a variable expression. (Use x for your variable. Do not simplify.)​

Answers

9514 1404 393

Answer:

  (x +3) -14

Step-by-step explanation:

The total of a number and 3 will be represented by (x +3). Fourteen less than that is ...

  (x +3) -14  or  -14 +(x +3)

The tree diagram below shows the possible combinations of juice and snack that can be offered at the school fair.

A tree diagram. Orange branches to popcorn and pretzels. Grape branches to popcorn and pretzels. Apple branches to popcorn and pretzels. Grapefruit branches to popcorn and pretzels.

How many different combinations are modeled by the diagram?
6
8
12
32

Answers

Answer:

B. 8

Step-by-step explanation:

The combinations are:

Orange - 2 (with popcorn and pretzels)Grape - 2  (with popcorn and pretzels)Apple - 2  (with popcorn and pretzels)Grapefruit - 2  (with popcorn and pretzels)

Total number of combinations:

4*2 = 8

Correct choice is B

there are 8different combinations are modeled by the diagram.

Answer:

Solution given:

orange:2

grape:2

apple:2

grapefruit:2

no of term:4

now

total no. of combination ia 4*2=8

Help me this question

Answers

Answer:

(a) 218.6 N

(b) 97.14 N

Step-by-step explanation:

When the system is in equilibrium, the net torque on the system is zero.

AC = 1.5 m, CD = 2.3 m, DB = 5 - 1.5 - 2.3 = 1.2 m

Let the centre of gravity of plank is at G.

AG = 2.5 m, CG = 2.5 - 1.5 = 1 m, GB = 2.5 m

(a) Let the reaction at C is R and at D is R'.

R + R' = 29 x 9.8 = 284.2 N ... (1)

Take the torque about C.

29 x 9.8 x CG = R' x GD

29 x 9.8 x 1 = R' x 1.3

R' = 218.6 N

(b) Take the torque about D.

6 x 9.8 x AD = R x CD

6 x 9.8 x (1.5 + 2.3) = R x 2.3

R = 97.14 N

Answer??? I need it in under 5 mins

Answers

Answer:

The answer is 5 units.

Step-by-step explanation:

Which of the following algebraic steps will solve the equation 5p= -35 and what is the solution

Answers

Answer:

p=-7

Step-by-step explanation:

5p=-35

Divide both sides by 5

5p/5 =-35/5

therefore p=-7

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{5p= -35}\\\\\underline{\huge\text{DIVIDE 5 BOTH SIDES}}\\\\\mathsf{\dfrac{5p}{5p}= \dfrac{-35}{5}}\\\\\large\text{CANCEL out: }\dfrac{5}{5}\large\text{ because that gives you 1}\\\large\text{KEEP: }\dfrac{-35}{5}\large\text{ because that gives you the value of p.}\\\\\large\textsf{p = }\mathsf{\dfrac{-35}{5}}\\\\\mathsf{-35\div5= p}\\\\\large\text{Simplify above and you have your result to the p-value.}\\\\\boxed{\boxed{\huge\text{Therefore your answer is: \textsf{p = -7}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

ABCD is rectangle with diagonals AC and BD meeting at point O. Find x if OA = 5x-7 and OD=4x-5

Answers

Hope this helps have a nice day

The number of patients treated at Dr. Frank's dentist office each day was recorded for ten days: 11, 4, 6, 7, 5, 10, 9, 21, 3, 0. Using the given data, find the mean for this sample.

Answers

Answer:

7.6

Step-by-step explanation:

Mean = (sum of numbers)/amount of numbers

11 + 4 + 6 + 7 + 5 +10 +9 + 21 + 3 + 0 = 76

76/10 = 7.6

I need help ASAP please!

Answers

Answer:

Option C

We need to make the negative exponent positive.

The rule is: [tex]A^{-B} =\frac{1}{A^{B} }[/tex]

Here, A=x, B= 12

[tex]so,[/tex] [tex]x^{-12}[/tex]

[tex]=\frac{1}{x^{12} }[/tex]

OAmalOHopeO

can anybody help me with this?

Answers

Answer:

Option (a)

Step-by-step explanation:

[tex]\sqrt[6]{1000m^{3} n^{12} } = \sqrt[6]{10^{3} } \sqrt[6]{m^{3} } \sqrt[6]{n^{12} } =\\\sqrt{10} \sqrt{m} n^{2} = n^{2} \sqrt{10m}[/tex]

Q3) He decorated the path in his garden with LED bulbs in three rows so that the bulbs in the first row blink at every 4 min, the bulbs in the second row blink at every 6 min and the bulbs in the third row blink at every 8 min. When will they blink together for the first time if he switches the lights on together at 6pm?

6.24 pm
6.30 pm
6.40 pm
They will not blink together at any time

Q4) If so, which is the next time they blink together?

 6.28 pm
6.48 pm
6.50 pm
None of these. ​

Answers

Answer:

They will blink together at 24minutes

Step-by-step explanation:

Using product of primes

4 = 2²

6 = 2 × 3

8 = 2³

Prime numbers with highest power

2³ × 3

8 x 3

24 minutes.

Translate and solve: fife less than z is 4

Answers

Answer:

z=9

Step-by-step explanation:

z-5=4. /+5

z=4+5

z=9

Answer:

z<-1

Step-by-step explanation:

5<z=4

collect like terms

z=<4-5

z<-1

A circle has a radius of 10 units and is centered at (-9,9). What is the equation of this circle? \sqrt{9

square root of, 98, end square write the equation of this circle.

Answers

A circle has an equation of a form,

[tex](x-a)^2+(y-b)^2=r^2[/tex]

Where [tex](a, b)[/tex] is the center and [tex]r[/tex] is the radius.

The coordinates of your circle center are [tex](a,b)=(-9,9)[/tex] and the radius is [tex]r=\sqrt{98}[/tex], so plug that in,

[tex](x-(-9))^2+(y-9)^2=\sqrt{98}^2[/tex]

and simplify to get the equation,

[tex](x+9)^2+(y-9)^2=98[/tex]

Hope this helps :)

You need a 75% alcohol solution. On hand, you have a 60 mL of a 55% alcohol mixture. You also have 85% alcohol mixture. How much of the 85% mixture will you need to add to obtain the desired solution?

You will need_____ mL of the 85% solution

Answers

60 mL=55% alcohol

?mL=85% alcohol

85×60÷55

=92.727 mL

I think do like this....I'm not sure

Hope this help you

9514 1404 393

Answer:

  120 mL

Step-by-step explanation:

Let x represent the amount of 85% solution needed. Then the total amount of alcohol in the mix is ...

  0.55(60) +0.85(x) = 0.75(60 +x)

  33 + 0.85x = 45 +0.75x . . . . . . . eliminate parentheses

  0.85x = 12 +0.75x . . . . . . . . . .subtract 33

  0.10x = 12 . . . . . . . . . . . . . . subtract 0.75x

  x = 120 . . . . . . . . . . . . . . multiply by 10

You will need 120 mL of the 85% solution.

Find two positive numbers whose difference is 28 and whose product is 1653

Answers

Answer:

Step-by-skfmckfmkfkfkfkfkkfkfkfkfkfkfoftep explanation:

Cl

A 13-ounce can of coffee costs $2.73. What is the unit price per pound (1 pound=16 ounces)?

Answers

($2.73/13ounces) (16 ounces/1 pound) = PRICE PER PROUND
= $3.36 per pound
Hope that helps :)

write the number 16, 107, 320 in expanded
form.

Answers

398383i4irujidifififif

A chef is going to use a mixture two different brands of Italian dressing the first spring and days 5% vinegar the second brain contains 15% vinegar the sheriff wants to make 390$ ml addressing that is 9% vinegar how much of each brand should she use

Answers

I guess the chef is making the mixture for the sheriff... Let x be the amount of dressing with 5% vinegar that is required, and y the amount of 15% vinegar dressing (both amounts in mL).

The sheriff wants 390 mL of the mixed dressing, so that

x + y = 390

x mL of the 5% dressing contains 0.05x mL of vinegar, while y mL of the 15% dressing contains 0.15y mL of vinegar. The resulting mixture should have a concentration of 9% vinegar, so that it contains 0.09 (390 mL) = 35.1 mL of vinegar. This means

0.05x + 0.15y = 35.1

Solve for x and y :

y = 390 - x

0.05x + 0.15 (390 - x) = 35.1

0.05x + 58.5 - 0.15x = 35.1

23.4 = 0.10x

x = 234

y = 156

Find the area of the circle around your answer to the nearest 10th

Answers

Answer:

A= π ( 3.8)^2

A= 45.36

OAmalOHopeO

Step-by-step explanation:

area is 2xr(times your answer)

Help me! Thanks!!!!!!

Answers

Answer:

there are infinite solutions

Step-by-step explanation:

if you add y-3 to both sides of the first equation, you will see that it is equal to the second equation, so they are the same line. Therefore, there are infinite solutions to this system

Other Questions
02 - O Renascimento cultural e artstico europeu do sculo XVI foi um processo lento e prolongado de transformaes que remontam ao perodo final da Idade Mdia, principalmente a partir do sculo XI. A partir dos seus conhecimentos referentes ao perodo, responda: a) Quais os principais aspectos valorizados pelos artistas renascentistas em suas obras e em quais locais da Europa esta produo artstica foi mais valorizada? Plssssss help!!! On the first day of travel, a driver was going at a speed of 40 mph. The next day, he increased the speed to 60 mph. If he drove 2 more hours on the first day and traveled 20 more miles, find the total distance traveled in the two days. Measuring and reporting quality costs does not solve quality problems. Decreases in quality costs generally occur as soon as improvement programs are implemented. Quality cost information helps managers identify the relative importance of quality problems. The impact of customer ill will is generally not found on quality control reports.a. Trueb. False Find the measure of one interior angle for the following regular polygon The cart travels the track again and now experiences a constant tangential acceleration from point A to point C. The speeds of the cart are 11.0 ft/s at point A and 18.0 ft/s at point C. The cart takes 5.00 s to go from point A to point C, and the cart takes 1.30 s to go from point B to point C. What is the cart's speed at point B Gilchrist Corporation bases its predetermined overhead rate on the estimated machine-hours for the upcoming year. At the beginning of the most recently completed year, the Corporation estimated the machine-hours for the upcoming year at 44,800 machine-hours. The estimated variable manufacturing overhead was $4.65 per machine-hour and the estimated total fixed manufacturing overhead was $1,239,616. The predetermined overhead rate for the recently completed year was closest to: A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German pediatrician Theodor Escherich, who identified it in 1885. A cell of this bacterium in a nutrient-broth medium divides into two cells every 20 minutes. The initial population of a culture is 50 cells.Required:a. Find the relative growth rate.b. Find an expression for the number of cells after t hours. c. Find the rate of growth after 6 hours. (Round your answer to the nearest integer.) d. Find the number of cells after 6 hours. If you could travel 900 meters in 55 seconds, what is your speed?(Answer in details=brainliest) the ages of two students are in the ratio of 3:5,if the older is 40yrs. How old is the younger student A boy shoves his stuffed toy zebra down a frictionless chute. It starts at a height of 1.45 m above the bottom of the chute with an initial speed of 1.23 m/s . The toy animal emerges horizontally from the bottom of the chute and continues sliding along a horizontal surface with a coefficient of kinetic friction of 0.231 . How far from the bottom of the chute does the toy zebra come to rest? Assume g=9.81 m/s2 . state the modern periodic law Look Up Jaire Alexander aint he fine? A phase change from a solid to a gas is called: True or false, the four units that must always be used when using the ideal gas law are liters, atm, Kelvin, and grams Does anyone know the answer for this? what do you mean by society Marcus has $7000 to invest in a savings account for 3 years. The bank offers two investment options. Option A pays 5 % simple interest per year and Option B pays 4% compound interest per year. (a) How much interest would Marcus earn after 3 years with Option A? A. Tick (1) the best alternatives. 1. What is the acceleration due to gravity on the surface of moon ? (a) 9.8m/s (b)1.6m/s2 (c) 6.67x10-1m/s (d) 9.8m/s? Tm x,y bit x+y=122x=3y 1. What outfits (male) rich/fancy people wear other then suits and tophats? 2. I remember seeing a fancy character in a movie wearing this thing on his neck/collar of shirt thats like a napkin but it was small(ish) and (probably) not a napkinI have a character who is the rich and fancy type but I already have characters with suits and tophats so I want to be more original instead of copying and pasting suits onto each of my characterEDIT: OHHHH the "napkin" is actually called a jabot, no need to answer the 2ne question now