1.8.3 practice - functions
3. Water freezes at 0 Celsius and 32 Fahrenheit. Water boils at 100 Celsius and 212 Fahrenheit.

1.8.3 Practice - Functions 3. Water Freezes At 0 Celsius And 32 Fahrenheit. Water Boils At 100 Celsius

Answers

Answer 1

Answer:

  A. C(F) = 5/9F -(17 7/9)

  B. slope: 5/9

  C. y-intercept: -17 7/9

Step-by-step explanation:

A.

The question tells us that the independent variable is the temperature in degrees Fahrenheit. Then the given ordered pairs are ...

  (F, C) = (32, 0) and (212, 100)

The slope can be found from the slope formula:

  m = (y2 -y1) / (x2 -x1)

  m = (100 -0)/(212 -32) = 100/180 = 5/9

The y-intercept can be found from the slope-intercept equation for a line:

  y = mx +b

  b = y -mx

Using the first point, we have ...

  b = 0 -(5/9)(32) = -160/9 = -17 7/9

Using the found values for m and b, the slope-intercept equation can be written ...

  C(F) = 5/9F -(17 7/9)

__

B.

The slope was found in part A to be 5/9. This means each degree Fahrenheit corresponds to 5/9 of a degree Celsius.

__

C.

The y-intercept was found in part A to be -17 7/9. This means 0 °F corresponds to -17 7/9 °C.


Related Questions

Write the equation of the line with a slope of 10 that goes through the point (8,-2) in slope intercept and point slope form?

Answers

Answer:

y=10x-2

Step-by-step explanation:

Using 7 what is the angle measure represented by the expression (2x+45)°?
PLEASE HELP ITS URGENT

Answers

If you plug 7 as x into:

(2x+45)

then you get

(2(7)+45)

(14+45)

(59)

help me please the drop down menu is the same for top and bottom i’m lost:(

Answers

I think…

0=2 : no solutions
2=2 : infinite solutions

Answer:

1) No solution

2) Infinitely many solutions

Step-by-step explanation:

1) No solution

0=2 is false.

2) Infinitely many solutions

2=2 is true because both sides are equal, hence, it is an infinite solution.

Hope this helps :)

What is the value of v?

Answers

By isosceles triangle theorem,

Angle ZXY = Angle ZYX

The sum of the angles in a triangle is 180 degrees.

106 + 2 same angles (-106) = 180 (-106)  (Subtract 106 by both sides)

2 same angles (/ 2) = 74 (/ 2)   (Divide 2 by both sides)

V = 37

Answer:

The value of v is 37°.

Step-by-step explanation:

Given that △ XYZ is an isosceles triangle where both sides have the equal angles. The total angle of △ is 180°. Let ∠ZXY and ∠ZYX be the same angles:

Let ∠ZXY = v, ∠ZYX = v, ∠ XZY = 106°,

∠ZXY + ∠ZYX + ∠XZY = 180°

v + v + 106° = 180°

2v + 106° = 180°

2v = 180° - 106°

2v = 74°

v = 74 ÷ 2

v = 37°

The total cost of 1 pencil and 2 erasers is £8, and the total cost of 2 pencils and 4 erasers is £20, as shown below:

Let the cost of 1 pencil be £x, and the cost of 1 eraser be £y. Write two linear equations in x and y:

Answers

Answer:

see explanation

Step-by-step explanation:

The 2 equations are

x + 2y = 8 → (1)

2x + 4y = 20 → (2)

Two cars are driving towards an intersection from perpendicular directions. The first car's velocity is 10 meters per second and the second car's velocity is 6 meters per second. At a certain instant, the first car is 4 meters from the intersection and the second car is 3 meters from the intersection. What is the rate of change of the distance between the cars at that instant (in meters per second)?

Answers

Answer:

use: E = P x t

Step-by-step explanation:

E = energy = J

P = power = W

t = time = s

Saturn the ring system around saturn has a diameter of 170000miles. find the circumference of the ring system.

Answers

Answer:

534,070.75 miles

Step-by-step explanation:

The circumference formula is [tex]d\pi[/tex] or [tex]2r\pi[/tex].

But since we're given the diameter, 170,000, all we have to do is multiply it by [tex]\pi[/tex].

[tex]170000*\pi = 534070.75 (Rounded)[/tex]

Part B
Transform the equation that you identified in part A so the variable k is alone on one side of the equation.

Answers

Answer:

Start with the original equation.

k + a = 500

Subtract a from both sides of the equation.

k + a – a = 500 – a

           k = 500 – a

Step-by-step explanation: this was my edmentum answer

help me due today might need more help in a minute but yk help me which one is it A B C D or E

Answers

Answer:

Option B is correct.

Step-by-step explanation:

c - 2.5 = 0

=> c = 0 + 2.5

=> c = 2.5

Therefore, c = 2.5 is our answer.

Hoped this helped.

Answer:

B-2.5

Step-by-step explanation: add 2.5 to both sides of the equation to get c=2.5

ed says a decimal grid shows 10 tenths monica says a decimal grid shows 100 hundredths who is correct explain PLEASE HELP I NEED TBIS DONE IN 30 minutes

Answers

Answer:

will i need a picture but its probably 10 count by 5s

Step-by-step explanation:

Please help this is due tomorrow and I have no idea what to do

Answers

Yes for the first one beacuse of the numbers on the graph

Step-by-step explanation:

#1

Yes

If you connect the points plotted, they will form a line and will pass through the origin.

This is indication of the proportional relationship.

The equation of circumference is:

C = 2πr

Since 2π is a constant value, the equation above represents a proportional relationship.

#2AC is the dimeter#3DB is the radius#4Circumference is the perimeter of the circle.

The sum of two numbers is 65. The larger number is 5 more than the smaller number. What are the numbers?

Answers

Answer:

30 and 35

Step-by-step explanation:

Put this question into equation form:

Let x be the smaller number, if the larger number is 5 more and the total is 65:

x + 5 + x = 65

2x + 5 = 65

Subtract 5 from both sides

2x + 5 - 5 = 65 - 5

2x = 60

Divide both sides by 2:

2x ÷ 2 = 60 ÷ 2

x = 30

As the larger number is 5 bigger:

30 + 5 = 35

So the two numbers are 30 and 35.

Hope this helps!

Answer:

Small number 30

Large Number 35

Step-by-step explanation:

The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:

x + y = 65

The difference between x and y is 5. In other words, x minus y equals 5 and can be written as equation B:

x - y = 5

Now solve equation B for x to get the revised equation B:

x - y = 5

x = 5 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 65

5 + y + y = 65

5 + 2y = 65

2y = 60

y = 30

Now we know y is 30. Which means that we can substitute y for 30 in equation A and solve for x:

x + y = 65

x + 30 = 65

X = 35

Therefore the large and small number us 35 and 30 respectively.

Hello, is there anyone here a pharmacy technician?

Answers

No i am not i hope that you find who you are looking for.

pls help i’ll mark brainliest!!
Aiden runs 1500 meters in 8 minutes. Find the slope of the linear function that represents this relationship.
Aiden runs 187.5 meters perminute.
Aiden runs 180 meters per minute.
Aiden runs 200 meters per minute.
Aiden runs 12 meters per minute.

Answers

Answer: Aiden runs 187.5 meters per minute.
Explanation: Literally divide the two numbers

The slope of the linear function that represents this relationship is Aiden runs 187.5 meters per minute.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Aiden runs 1500 meters in 8 minutes.

We know slope= Rise/ Run

So, slope= 1500 /8

slope= 187.5

Hence, the slope of the linear function that represents this relationship is Aiden runs 187.5 meters per minute.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ2

Solve the inequalities from parts A and D for the variables b and n, respectively.



Part A:2b<56
Part D:n<56

Answers

Answer:

Part A: b < 28

Part D: n < 56

Step-by-step explanation:

part A: divide each term in  and simplify.

Inequality Form: b < 28

part d: this is already solved but can be shown in multiple forms.

Inequality Form: n < 56

Interval Notation: ( -∞ , 56)

Express the division expression as a fraction in simplest form. Then, rewrite the fraction as a mixed number.
14 ÷ 4 ​

Answers

14/4 is simplified to 7/2 and as a mixed number it would be 3 1/2

Step-by-step explanation:

14 ÷ 4 is the same as the corresponding fraction (because a fraction is nothing else than a mini-division) :

14/4 = 7/2

and 7 divided by 2 is 3 with a remainder of 1. that means 1 time 1/2 remains as fraction.

so, the mixed number is

3 1/2

in which town does the total number have meaning

Answers

This question is incomplete, please provide more information!

{3x−5y=4 -2x+6y=18

Please help solve for x and y

Answers

Answer:

hello mam I don't know what to say to someone who makes the way to the way to the way to the way to the way to the way to work now where is my turn to the dark side I will be

Jeremy can row 2/3 of a mile in 1/2 hour how long will it take him to row 1 mile?

Answers

Answer:

It takes 3/4 of an hour to go 1 mile

Step-by-step explanation:

You can do this by setting up a proportion and by using decimals for some fractions

2/3 = 0.66667 Miles

1/2 = 0.5  hours

0.66667/0.5 = 1/x                         Cross multiply

0.66667 * x = 0.5 * 1                     Simplify

0.66667 * x = 0.5                         Divide both sides by 0.66667

x = 0.5 / 0.66667

x =  0.74999625                           Notice when rounded this is 0.75

x = 0.75                                         Now notice that 0.75 as a fraction is 3/4

x = 3/4

Jeremy can row 2/3 of a mile in 1/2 hour then it will take him 3/4 hour to row 1 mile.

If Jeremy can row 2/3 of a mile in 1/2 hour, then the time it takes him to row 1 mile can be found by setting up a proportion:

(2/3 mile) / (1/2 hour) = 1 mile / (x hours)

Cross-multiply:

(2/3) × x = 1 × (1/2)

Now solve for x:

x = (1/2) / (2/3)

x = 3/4

So, it will take Jeremy 3/4 of an hour (or 45 minutes) to row 1 mile.

Learn more about mile here:

https://brainly.com/question/29806974

#SPJ3

A rectangle has a perimeter of 20 inches and an area of 24 square inches. What are the length and width of the rectangle?
5 inches x 4 inches
4 inches x 6 inches
6 inches x 3 inches
3 inches x 8 inches

Answers

Answer:

Length = 6in

Width = 4in

The formula for solving the perimeter of a rectangle is:

P = 2(L+W)

The formula for finding the area of a rectangle is:

A = L x W

If we substitute our values, we will get:

P = 2(6 + 4)

P = 2(10)

P = 20in

A = 6 x 4

A = 24in²


HELLOPPPPPPPPPPPPPPPP

Answers

Answer:

Hello!

Judging by the link you provided I have come up with the correct solution:

x= 61°

y= 29°

Step-by-step explanation:

I will link my work below:

The first step to finding the two solutions it to first identify one of them.

I chose to identify x first.

To identify the value of x in this problem you have to notice that the x value corresponds with the value "29°" to form a perfect right angle, being 90°.

Thus you can simply find the value of x by doing this formula:

x+29°=90°

You then subtract 29° from both sides to simplify, and you come up with the solution

x=61°

Now we need to find the value of y.

To find the value of y I noticed that again, like x, y corresponds with another variable (being x) to form a perfect right angle (90°).

The way I realized this is a perfect right angle is because, as you can see in the picture you provided, the y+x angle are alternate exterior angles with another angle that is 90°.

Thus you can assume that:

x+y=90°

x= 61°

61°+y=90°

You then subtract 61° from both sides to get:

y=29°

SLOVE
18(5)

A. 95

B. 90

C. -90

D. -95

Answers

Answer:

90

Step-by-step explanation:

do 18x5

Order the side lengths.

Answers

Check the picture below.

now, we know, the wider the angle, the longer the opposite side.

so, let's just look at all 5 sides and check the angle that's opposite to them, or namely, making the side.

[tex]\stackrel{DF}{46^o}\qquad \stackrel{CD}{55^o}\qquad \stackrel{CE}{74^o}\qquad \stackrel{EF}{45^o}\qquad \stackrel{DE}{89^o} \\\\\\ \stackrel{\textit{in ascending order}}{\stackrel{EF}{45^o}~~ < ~~\stackrel{DF}{46^o}~~ < ~~ \stackrel{CD}{55^o}~~ < ~~ \stackrel{CE}{74^o}~~ < ~~ \stackrel{DE}{89^o}}[/tex]

: Một khu đất 20 ha người ta trồng hai loại cây ngô và khoai. Năng suất của ngô tính theo x ha được (5-x/4) tấn trên 1 ha và năng suất của khoai tính theo y ha được (7-y/4) tấn trên 1 ha. Xác định diện tích trồng từng loại cây để sản lượng thu được là lớn nhất.

Answers

Jsksjnsnsjdishdhjskjjkokksns

A store pays $65 for a robot and marks the price up by 20%. What is the amount of the
mark-up?

Answers

65 x .20 = $13 $13 is the markup and if added to the initial amount it would be $78 altogether
The answer is 13$ to that


True or False: This table describes a linear function

Answers

Answer:True

Step-by-step explanation:

There is a constant rate of change. For x, it'd be +1. For y, it'd be +3.

Vote brainliest please!

Answer:

true

Step-by-step explanation:

This is because the slope is y= 3x, you can prove that by plugging in the x values, and if they equal the y then that slope is right.

4 examples of one step equation

Answers

Answer:

Step-by-step explanation:

x + 14 = 20

4 = x²

x/4 = 50

x - 7 = 1

Knowing that a squence (a of n) is monotonically increasing and it's subsequence is convergent to a value A∈lR (for any n1 How do I prove that (a of n) converges to A aswell.

Answers

Suppose {xn} is increasing and has a subsequence {xnk} which converges to L. We will prove that {xn} itself converges to L.

For any ϵ>0, we want to find an integer Nϵ such that |xn−L|≤ϵ for any n≥Nϵ.

Since {xnk} is increasing and converges to L, we can find kϵ such that for any k≥kϵ, −ϵ<xnk−L<0.

Take Nϵ=nkϵ, then for any n≥Nϵ, xnkϵ≤xn≤L, so −ϵ≤xnkϵ−L≤xn−L≤0.

Similarly, we can prove when {xn} is decreasing

What fraction of the rectangle is shaded? PLS PLS PLS help ASAP! Ty

Answers

9514 1404 393

Answer:

  1/3

Step-by-step explanation:

The area of the rectangle is ...

  A = lw = (21)(12)

The area of the shaded triangle is ...

  A = 1/2bh = 1/2(14)(12) = (7)(12)

Then the fraction of the rectangle that is shaded is ...

  (shaded area)/(rectangle area) = (7)(12)/((21)(12)) = 7/21 = 1/3

1/3 of the rectangle is shaded.

Can someone help me please

Answers

Answer:

sorry i can answer that the asy

Answer:

Q1 - 10080

(sorry couldn't do q2 haha)

step by step;

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