Given the function f(x) =3x -14, find f(3)

What is the answer? Plz help

zloy xaker [14]

Answer:

5:15; 5 cups of juice and 15 cups of lemonade

Step-by-step explanation:

when simplified, the ratio is 1:3; so the first number multiplied by 3 equals the 2nd number

other answers: 6:18, 7:21, 8:24

8 0

2 years ago

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5. Order from least to greatest. 4996, 10 48% 3. 41 0.408, 7100

weeeeeb [17]

Answer:

0.408

48%

3.41

10

4996

7100

Step-by-step explanation:

5 0

2 years ago

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Can anyone help with these ? I'll give brainlyiest to anyone that can help with all of them! :) Thank you in advance .

Julli [10]

Answer:

1. (a) A function is a mapping $f:x\rightarrow y$ where there should be different values of y for different x.

So, given ordered pairs:

(3,7), (3,8) ,(3,-2) ,(3,4) ,(3,1)

It is not a function because there are multiple y values for single x-value.

Option 2 is correct.

(b) We need to find range of the function f(x)= -4x +1

So, we have given the domain which means the value of x we will put thses given values of x to find y

Values of y is the range in a function

So, given domain is: {-5,-1,0,2,10}

When $x= -5$

$y=-4(-5)+1=21$

When $x=-1$

$y=-4(-1)+1=5$

when $x=0$

$y=-4(0)+1=1$

when $x=2$

$y=-4(2)+1=-7$

when $x=10$

$y=-4(10)+1=39$

So, Range is: {-39,-7,1,5,21}

Option 1 is correct.

(c) We have given a function $v(c)=98c$

Where c is the number of cup jug of milk which is 16.

Put c=16 in given function

$v(c)=98\cdot 16$

$v(c)=1568$

So, c=16, v(c)=1568 is reasonable domain and range of the function.

Option 1 is correct.

(d) We need to find the inverse of given ordered pairs (1,2) (3,4) ,(6,8)

So, the inverse means values of x and y interchange.

So, the required inverse is: (2,1) ,(4,3) ,(8,6)

Option 3rd is correct.

2. We need to find the inverse of given scatter plot in which we have to find the inverse

So, given scatter plot represents (-4,-2) ,(1,-1) ,(2,1) ,(3,2)

So, in inverse values of x and y interchange

So, inverse scatter plot should represent (-2,-4) ,(-1,1) ,(1,2), (2,3)

Attached is the scatter plot inverse

Graph 1 is correct.

3.We have been given a function:

$f(x)=3x$

So, f(x)=y

That is $y=3x$

We will find x from above equation we get

$x=\frac{y}{3}$

Now, interchange x and y

$y=\frac{x}{3}$

$\Rightarrow f(x)=\frac{x}{3}$ is the required inverse

Therefore, option 3rd is correct.

5 0

2 years ago

Let sugar be the explanatory variable and calories be the response variable; which scenario best describes ŷ = 57 + 2.5x?

algol13

Answer: Choice E)

The amount of calories in fruit juice increases by 2.5 for every one gram of sugar. The calorie amount estimated by this model is 57 if there are zero grams of sugar.

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Explanation:

x = amount of sugar (in grams)

y = number of calories in the juice

ŷ = estimate of y, so its the estimate of calories in the juice

The regression equation rearranges to ŷ = 2.5x + 57

This is in the form y = mx+b where m = 2.5 is the slope and b = 57 is the y intercept.

The slope tells us what the rate of change is. Specifically, it tells us how much the amount of calories (y) is going up each time the amount of sugar (x) goes up. Each time x goes up by 1, y goes up by 2.5

The y intercept 57 is the starting or initial amount of calories. If you have 0 grams of sugar, the lowest amount of sugar possible, then you start off with 57 calories. We can see this by plugging x = 0 into ŷ = 2.5x + 57 (you should get ŷ = 57). Visually, the y intercept is where the line crosses the y axis.

All of these facts point to choice E as the final answer.

6 0

2 years ago

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¿Cuál es el volumen de una lata de chícharos que tiene un diámetro de 6 cm y una altura de 8 cm?

ivanzaharov [21]

Answer:

La respuesta podría ser 226.08 o 72π, dependiendo de si quieren que redondees pi o que solo pongas el símbolo.

Step-by-step explanation:

Para hallar el volumen de un cilindro, hay que primero hallar el área del círculo que tiene, por así decirlo. Entonces sería el radio al cuadrado, o sea 3 por 3 porque el diámetro es 6. Y luego lo multiplicamos por pi, y vendría siendo 9π o 9(3.14). Después, lo multiplicamos por la altura, 8 cm. Lo que nos daría 72π, o 226.08 ya redondeado.

7 0

2 years ago