Which table could be a partial set of values for a linear function?

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Explanation:

Check out the diagram below. I've plotted the regression line A(t) = -1.4t+96 on the same xy grid as the given scatterplot. This line tries to get as close as possible to all of the points.

From here, we plug in each of the temperatures mentioned in the five answer choices (10, 15, 68.5, 55, 0). The outputs form the second column of the table in that same diagram.

For example, if we plugged in t = 10, then,

A(t) = -1.4t+96

A(10) = -1.4(10)+96

A(10) = -14 + 96

A(10) = 82

Telling us that a temperature of 10 degrees F would have a predicted or estimated usage of roughly 82 gallons of oil. This points to choice A being one of the answers.

The other temperature values are handled the same way. Choice B is false because t = 15 does not lead to A(t) = 85. Instead, it's A(15) = 75 meaning it's 10 degrees off the mark.

Choice C is true though. Plugging t = 68.5 into A(t) leads to A(t) = 0.1 which rounds to 0 assuming we're only worried about whole numbers. If your teacher is considering decimal values, then choice C is unfortunately false. For now I'll assume your teacher wants you to round.

If we tried t = 55, then we'd get A(15) = -1.4*55+96 = 19 which is not 5 as we'd want. This rules out choice D.

Lastly, plug in t = 0 to find that A(t) = 96. This leads to choice E being one of the answers.

For the graph attached statements A, C and E are true.

     Function that fits the given data in the graph,

Here, t = temperature in Fahrenheit

A(t) = Oil used in gallons

By substituting the value of 't' in the equation we can get the amount of oil used A(t) to heat the house.

Option A

By substituting t = 10°F,

A(10) = -1.4(10) + 96

        = 82 gallons

Therefore, statement is true.

Option B

For t = 15°F,

A(15) = -2.4(15) + 96

        = 60 gallons

Statement is False.

Option C

For t = 68.5°F

A(5) = -1.4(68.5) + 96

       = 0.1 gallons

       ≈ 0 gallons

Statement is True.

Option D

For t = 55°F,

A(55) = -1.4(55) + 96

         = 19 gallons

Statement is False.

Option E

For t = 0°F

A(0)  = -1.4(0) + 96

        = 96 gallons

Statement is true.

     Therefore, statements given in options A, C and E are True.

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Answer

I think it is 25

Step-by-step explanation:

5 x 5 = 25 I think

Answer:

We’ll you can not physically or mentally get a answer

Step-by-step explanation:SORRY

Answer:

1. 10$

2. 24,59$

Answer:

Least to greatest

0.75 , 1.25 , -1. 08 , -0. 5

Step-by-step explanation:

Hope my answer helps you

Answer:

= − 11

Step-by-step explanation:

Answer:

Calculate the mass of a body that is applied with a force that pushes the right side of 230 N and another force that pushes the left side of - 150N. Consider that the acceleration it acquires is 2 m / s2.

Step-by-step explanation:

230 e dos

Answer:

E is correct

...............

Answer:

ok so to do this you line them up like normal then always remember to make sure your decimal is in the right spot if you need more help there are many easy solutions online also if you need more help you can always send me a picture of the question or tell me it and it will make things a lot easier :)

Step-by-step explanation:

Answer:

The linear equation that gives the rule of the table is f(x) = x + 25

The linear equation can be represented in a slope intercept form as follows:

y = mx + b

where

m = slope

b = y-intercept

Therefore,

Using the table let get 2 points

(2, 27)(3, 28)

let find the slope

m = 28 - 27 / 3 -2 = 1

let's find b using (2, 27)

27 = 2 + b

b = 25

Therefore,

y = x + 25

f(x) = x + 25

Step-by-step explanation:

Answer:

1/16

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] * [tex]\frac{1}{2}[/tex] * [tex]\frac{1}{2}[/tex] * [tex]\frac{1}{2}[/tex]

Answer:

56 boxes

Step-by-step explanation:

1. First subtract 14 from 126 to get 112 boxes

2. Now divide 112 by 2 to get Victoria's total of 56

Answer:

1.4

Step-by-step explanation:

in the graph, the points are 14 points apart, when the step of the graph is set to .1, if you count, they're .14 point apart, or 1.4

Given values:-

P= 0.97

V= 2.85

R= 0.082

T= 295

n= ?

we have given formula,

PV=n RT

so,

n = PV/RT

[tex]n = \frac{0.97 \times 2.85}{0.082 \times 295} \\ = \frac{2.7645}{24.19} \\ = 0.1142 \\ = 0.11[/tex]

0.11 is your answer.

Answer:

C) y + 1 = -5(x - 1)

Step-by-step explanation:

Given:

m = -5

(1, -1)

We just simply use the point-slope formula and plug in:

y - y1 = m(x - x1)

y - (-1) = -5(x - 1)

y + 1 = -5(x - 1)

Step-by-step explanation:

the numbers : x, y

x = 5 + 3y

x + y = 33

when using the first equation in the second we get the mentioned equation (it does not matter which of the 2 numbers is x and which is y, it can all be vice versa, as you can see) :

5 + 3y + y = 33

5 + 4y = 33

4y = 28

y = 7

so, when you try the numbers above in the unsimplified equation, you will also find that 7 is the right answer.

the other number is based on my equations (with the reversed names) :

x = 5 + 3y = 5 + 3×7 = 5 + 21 = 26

the smaller number is 7.

the larger number is 26.

Answer:

a car that is full

Step-by-step explanation:

Answer:

mm definitely a car that is full

Step-by-step explanation:

Answer:

edficycle cycle shop luisa sella otuff

Answer:

X = 0 or X = -2

Step-by-step explanation:

2x^4 + 16x = 0

x^4 + 8x = 0

x(x+2) (4+x^2_2x) = 0

x + 2 = 0

or

4+x^2_2x=0

Answer:

QTR is 36

PTR is 62

Step-by-step explanation:

P+R+T=180

ABC=50

DCE=65

DEF= I think 115

I hope that helps I would appreciate brainliest if possible :)

The ramp walk is more difficult than the hill. Those who know can only be about that.

Answer:

250.

Step-by-step explanation:

3 + 5 = 8. => (3/8) * 400 = 3 * 50 = 150. => (5/8) * 400 = 5 * 50 = 250.

Answer:

There are 16 cows and 32 chickens on the farm.

Step-by-step explanation:

First, each cow and chicken has one head each, obviously. That means that the 48 corresponds to the total number of animals on Farmer John's farm. Since chickens have 2 legs and cows have 4 legs, that means that the 128 represents the separate amount of cows and chickens there are. We can let c equal the number of cows, and h equal the number of chickens. We know that the total number of animals is 48, so c + h = 48. We know that for each cow, there are 4 legs, and for each chicken there are 2 legs, so 4c + 2h = 128.

Now, we can solve by substitution. Multiplying the first equation by 2, we have 2c + 2h = 96. We can subtract this from the second equation to get 2c = 32, and c = 16. That means there are 16 cows on the farm, and since c + h = 48, there are 48 - 16 = 32 chickens on the farm.

The number of chicken are 32 and the number of cows is 16, 128 represents the total number of legs of the chicken and cows. In which 64 legs are of chicken and 64 legs are of cows, and 48 represents the total number of heads in which 32 heads are of chicken and 16 heads are of cows.

Given :

Farmer John has cows and chickens on his farm. His farm animals have 128 legs and 48 heads in total.

a) Remember a cow has one head and 4 legs and a chicken has one head and 2 legs.

Let the total number of chickens be 'x' and the total number of cows be 'y'. Then the total number of heads are:

x + y = 48

x = 48 - y    --- (1)

The linear equation that represents the total number of legs is given by:

2x + 4y = 128   --- (2)

Now, substitute the value of 'x' in equation (2).

2(48 - y) + 4y = 128

96 - 2y + 4y = 128

2y = 32

y = 16

Now, substitute the value of 'y' in equation (1).

x = 48 - 16

x = 32

So, the number of chicken are 32 and the number of cows are 16.

b) 128 represents the total number of legs of the chicken and cows. In which 64 legs are of chicken and 64 legs are of cows.

c) 48 represents the total number of heads in which 32 heads are of chicken and 16 heads are of cows.

For more information, refer to the link given below:

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9514 1404 393

Answer:

  7.83 km/h

Step-by-step explanation:

At her constant pace, Nina's time for 6 km will be found by the proportion ...

  (time for 6 km)/(6 km) = (time for 9 km)/(9 km)

  time for 6 km = (6 km)/(9 km) × (75 min) = 50 min

Jo's time for the same distance will be 4 minutes less: 50 -4 = 46 min. Jo's speed is ...

  speed = distance/time

  = (6 km)/(46/60 h) = 360/46 h ≈ 7.83 km/h . . . . Jo's speed

_____

Additional comment

From the 6 km point, the remaining race is half the distance already run, so will take half the time already taken. As we know, Nina will finish in 25 more minutes; Jo will finish in 46/2 = 23 more minutes, 2 minutes ahead of Nina.

Answer:

40,000

Step-by-step explanation:

The value of 352914 to the nearest hundred thousand is 400,000

To approximate a number means to write a number near the original number that is a number, not exactly the original number. It may be a bit more or less than the original.

For example 345 is called three hundred and forty five, this means that 3 is hundred , 4 is tens and 5 is units. When approximating we round up the next number to 1 if ≥ 5 and to 0 if ≤ 5.

Therefore, 352914 approximated  to the nearest hundred thousand will be  400, 000 because the number after 3 is 5 it will be rounded to 1 and added to 3.

learn more about approximation from

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#SPJ3

Answer: 4.65

Step-by-step explanation: 42.80 - 38.15 = 4.65

Answer:

6.5 feet

Step-by-step explanation:

Anna's shadow is 2 feet shorter than her. So, therefore, the stop sign is 2 feet taller that its shadow.

9514 1404 393

Answer:

  Ghc432.56

Step-by-step explanation:

Deposits add to the balance; withdrawals subtract from the balance.

  new balance = old balance + deposits - withdrawals

  new balance = 347.20 +563.89 -478.53 = 432.56

Kofi's balance is now Ghc432.56.