After 2 week he has used 8 1/2 cups of dog food after 5 week he has used 21 1/4 cups construct a function in the form y =mx+ to represent the amount of dog food used y, after x weeks

Answers

Answer 1

Answer:

y = 4.25x

Step-by-step explanation:

Given that:

After 2 week he has used 8 1/2 cups of dog food after 5 week he has used 21 1/4 cups, we can write this in coordinate form (x, y) where;

y is the amount of dog food

x is the time in weeks

The coordinates are (2, 8 1/2) and (5, 21 1/4)

get the slope m:

m = y2-y1/x2-x1

m = (21 1/4 - 8 1/2)/5-2

m = (85/4-17/2)/3

m = (85-34/4)/3

m = 51/12

m = 4.25

Get the intercept c:

Substitute any of the points say (2, 17/2) and m = 51/12 into the equation

y = mx+c

17/2 = 51/12(2) + c

17/2 = 51/6 + c

c = 17/2 - 51/6

c = 51-51/6

c = 0

Get the required equation:

substitute m - 4.25 and c = 0 into y = mx+c

y = 4.25x + 0

Hence the required equation is y = 4.25x


Related Questions

What is the domain of the function? {(-3,-9), (7,9), (9, 1), (7,3)} Colleen wrote her answer as (-3,7,7,9) and she got it marked WRONG! What did she do wrong?​

Answers

Answer: added

Step-by-step explanation:

Ramona has a bag that contains candies of the same size and shape. There are 5 green candies, 4 orange candies and 3 yellow candies. She draws a candy at random, replaces it, and then draws a second candy. What is the probability that both candies will be orange?

Answers

Answer:

the answer is 1/3

Step-by-step explanation:

Evaluate 3m - 5 when m=9
Thank you!!’

Answers

3m-5=22

Explanation

3(9)-5
3 times 9 is 27
27 minus 5 is 22

At a school, 460 of the students walk to school.
the number of students who ride the school bus is 110% of the number of students who walk. How many students ride the school bus?

Answers

Answer:

506

Step-by-step explanation:

To find a percent answer is easy, just do this:

Enter your base number here: 460

Enter your percent here: 110%

460 x (convert 110% to a decimal) 1.1 = 506

Your welcome =)

Answer:

The answer is 506

Step-by-step explanation:

HELPPppPpPPpppppppp BRAINLIESTTTT

Choose the inequality symbol (>,


<


=

Answers

The inequality is < because the equal sign is an equality.
I don’t need a brai

When 80 is decreased by 15%, the new number is

Answers

Answer:68

Step-by-step explanation:

Percentage decrease = 15% × 80

New value =

80 - Percentage decrease =

80 - (15% × 80) =

80 - 15% × 80 =

(1 - 15%) × 80 =

(100% - 15%) × 80 =

85% × 80 =

85 ÷ 100 × 80 =

85 × 80 ÷ 100 =

6,800 ÷ 100 =

68

−6 2/1 −(−2 8/1 )+3 3/2

Answers

Answer:

simplify the expression.

Exact Form:

13/2

Decimal Form:

6.5

Mixed Number Form:

6 1/2

Step-by-step explanation:

plz give me brainlyest

Answer: 6 1/2

Step-by-step explanation:

-6 2/1 - (-2 8/1 ) + 3 3/2

-8 - (-10) + 4 1/2

-8 + 10 + 4 1/2

2 + 4 1/2

6 1/2

I didn't really understand some stuff but I think I did this right.. hope this helps!

PLEASE HELP!! Will mark brainlest!!
Which number is equivalent to 16 1/2
A. 2
B. 4
C. 8
D. 32

Answers

Answer:

I'm not even lying, it's none of them ;-;

btw if you want, can you give me brainliest :((

Answer:

4

Step-by-step explanation:

16^(1/2)

when bringing a number to the power of a fraction the denominator becomes the order of the root and the numerator becomes the power of the number

we are left with an order 2 root, which is a square root

[tex]16^\frac{1}{2}=\sqrt[2]{16}=4[/tex]

I
A 10 kg box is pulled across the floor at a constant speed. If the force of pull was 70 N at
a 30° angle:
a. What was the force of friction
b. What was the coefficient of friction

Answers

Answer:

Acceleration equals zero because of constant velocity

[tex]f - fr = ma \\ 70 \cos(30) - fr = 0 \\ 70 \cos(30) = fr \\ fr \: = 60.62[/tex]

coefficient

Fr = coefficient × r

60.62= ce ×100

0.60 = coefficient

Can someone help me find the solution?

Answers

Answer:

Solution: y=2

What is the vertex of the function defined as
g(x) = f(x – 5) + 3?

Answers

Answer:

f=gx−3/x−5

Step-by-step explanation:

Step 1: Flip the equation.

fx−5f+3=gx

Step 2: Add -3 to both sides.

fx−5f+3+−3=gx+−3

fx−5f=gx−3

Step 3: Factor out variable f.

f(x−5)=gx−3

Step 4: Divide both sides by x-5.

f(x−5)/x−5=gx−3/x−5

how many degrees is the measurement of angle 1? show you work GVING BRAINLY

Answers

Answer:

m<1 = 79°

Step-by-step explanation:

12x + 19 + 22x - 9 = 180

add the numbers

34x + 10 =180

minus 10

34x = 170

divide by 34

x = 5

plug 5 into the equation of angle 1

12(5) + 19 =

79

Function g is a transformation of the parent exponential function. Which statements are true about function g?
FAKE ANSWERS WILL BE REPORTED!!

Answers

Using function concepts, it is found that the correct options are:

Function g is positive over the interval [tex](-\infty, \infty)[/tex].The range of function g is [tex](3, \infty)[/tex].Function g has a y-intercept of (0,4).

What is the parent exponential function?

The parent exponential function is defined by:

[tex]y = e^x[/tex]

In this problem:

When [tex]x = 0, e^x = 1[/tex], while [tex]g(x) = 4[/tex] when x = 0, hence it is 4 - 1 = 3 units above function f.From the graph, it is above the x-axis in the interval [tex](-\infty, \infty)[/tex], hence it is positive in this interval.The range is the set that contains all output values, that is, all values of y, hence it is [tex](3, \infty)[/tex].The domain is the set that contains all possible input values, hence it is [tex](-\infty, \infty)[/tex].The y-intercept is (0, g(0)), hence (0,4).Function g is increasing over the entire interval.

To learn more about function concepts, you can take a look at https://brainly.com/question/16948935

Steve’s baseball team played 33 games and won 15 of them. What percent did the team win? *

Answers

Answer:

Approximately 45%.

Step-by-step explanation:

We know that Steve's team played in total 33 games. Out of the 33, they won 15 of them.

So, as a fraction of the total won over the total games, we can write:

[tex]\displaystyle\frac{15}{33}[/tex]

So, by dividing, the percent the team won is:

[tex]\displaystyle\frac{15}{33}=0.\overline{45}=0.454545...\approx0.45=45\%[/tex]

The team won approximately 45% of its games.

What importance do fossils have to scientists?
A. Fossils are used to create cement, which is used to pave our roads.
B. Fossils provide information about the plants and animals that lived long ago and the nature of the environment at the time.
C. Fossils help keep the Earth's crust from shifting, which reduces the likelihood of earthquakes.
D. Fossils can help prove that aliens from other planets once lived on our Earth, but they all died from some catastrophic
event

Answers

Answer:

B is the answer.

Step-by-step explanation:

 

Need help pls very important 25 points here for person who gives good answer will get brainlyest

Answers

Answer: D. 2

Step-by-step explanation:

-3t + 6 = 0

1. Subtract 6 from each side

-3t + 6 - 6 = 0 - 6

-3t = -6

2. Divide each side by -3 to isolate t and get the answer to the equation

-3t/-3 = -6/-3

t = 2

You can check your answer by plugging your calculated value back into the equation and evaluating to find that 0 = 0.

HEELLPPP!!!!! fastttt plzzzzz!

The sales for products sold at an electronic store are below. What percent of the products sold were speakers?

Answers

Answer:

6.00%

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A cone has a diameter labeled twelve centimeters and a height labeled thirty-two centimeters. Find the area of a vertical cross section through the center of the base of the cone.

Answers

Answer:

[tex]A=0.0192[/tex]

Step-by-step explanation:

Diameter labeled twelve centimetres D =12cm => 0.12

height labeled thirty-two centimetres H= 32cm => 0.32

Generally the vertical cross section of this cone is a triangle

Mathematically solving

Area of vertical cross section through the center of the base of the cone is given by [tex]A=1/2 D*height[/tex]

[tex]A=R*H[/tex]

Therefore

[tex]A=\frac{0.12}{2} *0.32[/tex]

[tex]A=0.06 *0.32[/tex]

[tex]A=0.0192[/tex]

The numbers –12, –7, –2, 3, . . . follow a pattern. What are the next three numbers in this pattern? A. 8, 13, 18 B. 5, 10, 15 C. 2, 8, 13 D. 8, 14, 17

Answers

Answer:

A.

Step-by-step explanation:

5 is added each time

3 + 5 = 8

8 + 5 = 13

13 + 5 = 18

Answer:

8,13,18

Step-by-step explanation:

10 – 7w – 13 – 7w + 15

I need help plsss!

Answers

Answer:

12-14w

Step-by-step explanation:

What is 12 divided by 2/3 and why? Please help

Answers

Answer:

8

Step-by-step explanation:

12/3=4

4 times 2=8

9 ⅚ + 1 ¼ + ___________ = 14

Answers

Answer:

14

reeaADADSDDSSA

Step-by-step explanation:

[answer 1 11/12 or 2.917]

1. 9 5/6 + 1 1/4 =  11 1/12

2. 14 - 11 1/12 = 35/12 then you smiplfy to get  1 11/12 or 2.917

Maribel sold 20% of the cupcakes she made. If she sold 35 cupcakes, then she made how many
cupcakes in all.

Answers

Answer:

20% x 5= 100%

35 x 5= 175

she has a total of 175 cupcakes

What is greater -3.2 or -3

Answers

Answer:

-3 is greater

Step-by-step explanation:

Have a good day :)

I think that it is greater

A football player has made 80% of the field goals he has attempted in his career. If he
attempts 45 field goals in a season, how many would he be expected to make?

PLEASE ANWSER SERIOUSLY

Answers

Answer:

im pretty sure its 56.25 cus 45= 80% of 56.25

Step-by-step explanation:

help please i’ll give brainliest.

ΔABC is similar to ΔFED. Answer the questions to find the length of DF .


1. Which side in ΔFED does AB in ΔABC correspond to?
Write your answer in the space below.


2. Which side in ΔFED does CB in ΔABC correspond to?

Answers

Step-by-step explanation:

ΔABC is similar to ΔFED.

AB are the first 2 letters in ΔABC. Similarly, FE are the first 2 letters in ΔFED.

Hence side AB corresponds to side FE.

CB are the last 2 letters in ΔABC. Similarly, DE are the last 2 letters in ΔFED.

Hence side CB corresponds to side DE.

Answer:

1.  EF in ΔFED corresponds to AB in ΔABC.

2. DE in ΔFED corresponds to CB in ΔABC.

3. The length of DF is 10.

Step-by-step explanation:

Given: ΔABC is similar to ΔFED. Find the length of DF.

To Find: The length of side DF in ΔFED

Since, ΔFED is a right-angled triangle and also similar to ΔABC,

Applying similarity of triangles principle,

AB = 4  ,  EF = 8

BC = 3  ,  DE = 6

Now, applying Pythagorean theorem on ΔFED,

Hypotenuse² = Length² + Base²

⇒ DF² = DE² + EF²

⇒ DF² = 6² + 8²

⇒ DF² = 100

⇒ DF = √100

⇒ DF = 10

Final Answer: Hence the length of side DF is 10.

Graph the linear equation using intercepts. Use a graphing calculator to check your graph.

equations: y= 2/3 x (-4)
y= 1/9x (-3)

Answers

Answer:

desmos .com

Step-by-step explanation:

PLEASE HELP WILL GIVE 30 POINTS

The data set shows the ages of guests on a recent tour of a museum: 34, 18, 29, 60, 44, 51, 65, 68.
A. What is the five-number summary of the data? Show your work.
B. How could the museum curator use this information to improve sales at the gift shop?

I already did part A I just need help on part B

The five-number summary is
Min: 18 Max: 68 Median: 47.5
Q1: 31.5 Q3:62.5

Answers

he can use the information to put stuff on sale so more people will come and he can make more money

Step-by-step explanation:

What is the measure of
RST?

Answers

Answer:

D. 47

Step-by-step explanation:

I've asked this question twice and gotten 2 different answers. this is sooo urgent and I don't know what the right answer is. A long-distance phone company charges $4.95 month plus an additional $.10 per minute. a. Define a variable and write a formula to find the total cost per month for long-distance service. b. Use this formula to find the long-distance charges for 120 minutes of calls in one month.​

Answers

Answer:

C=4.95 +0.10x, where x=minutes

C=4.95 + 120(0.10)

C=4.95 +12.00=$16.95

Hope this helps!!

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