Mathematics, 23.11.2021 14:00 snowprincess99447

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 Ce

Answers: 1

Show answers

Answers

Answer from: culbertchristi6111

A. C(F) = 5/9F -(17 7/9)

B. slope: 5/9

C. y-intercept: -17 7/9

Step-by-step explanation:

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)

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

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

Answer from: Quest

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral

Answer from: Quest

la parábola es el lugar

geométrico en el cual los puntos tienen una distancia idéntica, equidistantes,

de un punto denominado foco, f, y una recta denominada directriz

el radio vector de una

parábola es el segmento que existe entre un punto cualquiera y el foco.

por la ecuación se observa

que la parábola abre hacia la derecha, por lo cual podemos usar las siguientes fórmulas

la ecuación ordinaria de la

parábola es y^2 = 4px, donde p es la longitud desde el vértice de la parábola al

foco.

la fórmula de la directriz

es x + p = 0

resolviendo:

y^2-9x = 0

y^2 = 9x

4p = 9, entonces p = 9/4

entonces el foco tendrá la

coordenada f(9/4,0)

la directriz vendrá

expresada por

x + p = 0

x = -p

x = -9/4

el problema indica que la

ordenada es igual a 6, entonces

(6)^2=9x

x = 36/9

x = 4

entonces el punto al cual

hay que obtener la distancia será p(4,6)

calculando se tendrá: pf =

pf = 6,25 u

ver más en -

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 15:20

Find the image of a(4, -2) after it is reflected over the line y= 2, then reflected over the line x = 2. (-8,6) o (0.-2) o (0,6) (-8, -2)

Answers: 1

Answer

Mathematics, 21.06.2019 21:30

Ihave a triangle with a 60 degree angle. lets use d for that angle. what are the values of e and f if d is 60 degrees? and what do you notice about the values of e and f?

Answers: 2

Answer

Mathematics, 21.06.2019 22:00

Fatima plans to spend at least $15 and at most $20 dollars on sketch pads and pencils. if she buys 2 sketchpads, how many pemcils can she buy while staying in her price range? fatima can buy between and pencils. ? (type whole numbers. use ascending? order.)

Answers: 1

Answer

Mathematics, 22.06.2019 03:20

If (x) = 3х - 2 and g(x) = 2х+ 1, find (f- g)(x). оа. х- з ов. 3-х ос. 5x - 1 od. 5x - з

Answers: 1

Answer

You know the right answer?

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

Questions