The table represents the function f(x). What is f(3)?

Answer:

50 pockets

Step-by-step explanation:

Total yards of lace = 75

Yards to decorate one Pocket = 1 1/2 yards

How many pockets can she decorate with the lace

Number of pockets she can decorate with the lace = Total yards of lace / Yards to decorate one Pocket

= 75 ÷ 1 1/2

= 75 ÷ 3/2

= 75 × 2/3

= 150/3

= 50

Number of pockets she can decorate with the lace = 50 pockets

Answer:

its b

Step-by-step explanation:

Answer:

$460.

Step-by-step explanation:

[tex]Percentage\ change = (\frac{Original\ Price\ - Discounted\ Price}{Original\ Price})100\\\\15=(\frac{x-391}{x})100\\\\15x=(x-391)100 \\\\15x/100=x-391\\0.15x=x-391\\391=x-0.15x\\391=0.85x\\391/0.85=x\\460=x\\[/tex]

So the price yesterday was $460

Answer:

10x + 4 < 25  

Step-by-step explanation:

The correct answer is:

10x + 4 < 25

Answer:

-0.2

Step-by-step explanation:

it's that exact answer , I did not rounded

Answer:

18a, 16b, 10c

Step-by-step explanation:

Answer:

Y=x+12

Step-by-step explanation:

Not pretty sure XD but .-.

Answer: 1/2 x + 3

Step-by-step explanation: y = 3 slope = 1/2

Answer:

8

Step-by-step explanation:

exact

127/9-5.89

14.11-5.89

8.22

estimating

14 1/9 is close to 14

5.89 is close to 6

14-6 is 8

Answer:

the answer is 8

Step-by-step explanation:

hope i help

Answer:

Step-by-step explanation:

v

=

x

3

+

6

x

2

+

5

x

Explanation:

The formula for volume is:  

v

=

l

⋅

w

⋅

h

where  

v

is the volume,  

l

is the length,  

w

is the width and  

h

is the height.

Substituting what we know into this formula gives:

v

=

(

x

+

5

)

(

x

+

1

)

x

v

=

(

x

+

5

)

(

x

2

+

x

)

v

=

x

3

+

x

2

+

5

x

2

+

5

x

v

=

x

3

+

(

1

+

5

)

x

2

+

5

x

v

=

x

3

+

6

x

2

+

5

x

Answer:

0.65

Step-by-step explanation:

The required standard deviation is 0.65

Given data is,

Computation:

[tex]\varepsilon_x\times P(X=x)=0\times 0.09+1\times0.42+2\times0.49\\=0.42+0.98\\=1.4[/tex]

Now,

[tex]E(X^2)=0^2\times 0.009+1^2\times 0.42+2^2\times 0.49\\=0.42+1.96\\=2.38\\\sigma ^2=E(X^2)-(E(X))^2\\=2.38-(1.4)^2\\=0.42\\\sigma =\sqrt{0.42}\\=0.65[/tex]

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Answer:

what are the choices

Step-by-step explanation:

Answer: is there suppose to be a pic?

Answer:

R = [tex]\frac{U}{I}[/tex]

Step-by-step explanation:

Given

I = [tex]\frac{U}{R}[/tex] ( multiply both sides by R to clear the fraction )

R × I = U ( isolate R by dividing both sides by I )

R = [tex]\frac{U}{I}[/tex]

Answer:

$445

Step-by-step explanation:

Linear regression line y=2.1x+130 predicts sales based on the money spent on advertising.

Linear regression represents the relationship between two variables. the value of y depends on the value of x.

x represents the dollars spent in advertising and y represents the company sales in dollars.

We need to find out sales y when $150 spends on advertising.

Plug in 150 for x and find out y

y = 2.1 x + 130

y = 2.1 (150) + 130

y= 445

The company expects $445 in sales

The company expects $445 in sales.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Linear regression line y = 2.1x + 130 predicts sales based on the money spent on advertising.

Now, Linear regression represents the relationship between two variables. the value of y depends on the value of x.

Here, x represents the dollars spent in advertising and y represents the company sales in dollars.

We need to find out sales y when $150 spends on advertising.

Plug in 150 for x and find out y as;

y = 2.1 x + 130

y = 2.1 (150) + 130

y = 445

Thus, The company expects $445 in sales.

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Answer:

She used 2 17/20 strings of grey beads

Step-by-step explanation:

Here, we want to know the number of grey beads used

To calculate this, we simply add up the black beads number with the number of grey beads

Mathematically, that will be;

1 1/20 + 1 4/5

= 21/20 + 9/5

= (21 + 36)/20

= 57/20 = 2 17/20

Answer:

Step-by-step explanation:

8x+10 - 4x+16 = 4x-6

w= 2x-3

33

Since it is parallel, that means that the line will have the same slope. Just simplify and add the x values in the first equation to get 33x.

Answer:

La familia paga 72 €.

Step-by-step explanation:

Una familia, formada por3 adultos y 6 niños , va al Parque de Atracciones. Las entradas de los niños cuestan 8 € y las de los adultos 12 €.

Entonces, para calcular el precio que deben pagar los adultos se debe multiplica la cantidad de adultos que asisten al Parque de Atracciones por el precio de una entrada de adultos.

3 adultos* 12 €= 36 €

Para calcular el precio que deben pagar los niños se debe multiplica la cantidad de niños que asisten al Parque de Atracciones por el precio de una entrada de niños.

6 niños* 8 €= 48 €

Sumando el total pagado por la entrada para adultos y para niños se obtiene:

36 € + 48 €=  84 €

La familia debería pagar 84 €. Pero por cada 3 entradas que se compran rebajan 4 €. En este caso se deben pagar 3 entradas para adultos y 6 para niños, es decir que se deben pagar 9 entradas en total. Por lo que la familia debe pagar 3 "packs" de 3 entradas. Entonces, se rebaja:

3 "packs" de 3 entradas*  4 €= 12 €

Entonces, del total a pagar por la familia se debe restar la rebaja que el parque realiza:

84 € - 12 €= 72 €

Finalmente, la familia paga 72 €.

Answer:

y=15x

Step-by-step explanation:

YEPP PRETTY CONFIDENT IN THE ANSWER

9514 1404 393

Answer:

  s = 15w

Step-by-step explanation:

The problem statement tells you the dependent variable is s, and the independent variable is w. Unfortunately, the graph axes are labeled y and x instead of s and w. The line on the graph has a "y-intercept" of 0 and a rise/run of 30/2 = 15.

The equation asked for is ...

  s = 15w

Answer:

y=1/5x+3

Step-by-step explanation:

Slope-intercept form is written as y=mx+b, with mx representing slope and b representing the y-intercept.

Referring to the line on the graph, find where the line crosses the y-axis and you get 3 for your y-intercept. Now, to get the slope start from the point of the y-intercept (0,3) and choose another point. For example, choose (5,4)

Remember rise over run. Start from the y-intercept and count up and over until you get to (5,4). When doing this, you get 1/5

Equation is: y=1/5x+3

Answer:

I dont know what does the long question requires.If is the question of 17 problem then i have explained and solved .If not then I dont know what to do.

Answer:

D (6, 21)

Step-by-step explanation:

Since the ratio of the corresponding values of x and y given in the table is 2 : 7

So, 6/ 21 = 2/7 = 2: 7

Thus, D (6, 21) is the correct answer.

Answer:

D

Step-by-step explanation:

Answer:

The total number of faces in a pyramid= 1+n

Answer:

a. Dan is 100 miles from home at noon and is travelling at 70 miles per hour.

Step-by-step explanation:

Given

[tex]y = 70h + 100[/tex]

Required

Interpret

An equation has the form

[tex]y = mx + b[/tex]

Where

[tex]m = rate[/tex]

[tex]b = y\ intercept[/tex]

By comparison with [tex]y = 70h + 100[/tex]

[tex]m = 70[/tex]

i.e. He travels at 70 miles per hour

And

[tex]b = 100[/tex]

This represents the initial distance as at when he started travelling (12 noon)

i.e. At noon, he is 100 miles away from home

Answer:

A is the right answer.

Step-by-step explanation:

Answer:

247

Step-by-step explanation:

Answer:

Growth rate = 8% = 0.08

Initial value (Po) = $255

F(t) = Po* e^rt

F(t) = $412.09897

Step-by-step explanation:

Given that:

Initial cost = $255

Rate of increase per year (r) = 8% = 0.08

Growth rate :

Final amount = Initial amount * (1 + rate)^time

Growth rate = 8% = 0.08

Initial value (Po) = $255

Exponential model for the cost :

F(t) = Initial value * e^(rate * time)

F(t) = Po* e^rt

Value after 6 years :

F(t) = Po* e^rt

t = 6

F(t) = 255 * e^(0.08*6)

F(t) = 255 * 1.6160744

F(t) = $412.09897

The magnitude of two vectors are [tex]|A|=\sqrt{29},|B|=\sqrt{6}[/tex]

and the directions are

[tex]A=\frac{1}{\sqrt29}[2i+3j+4k]\\\\B=\frac{1}{\sqrt6}[i-2j+3k][/tex]

The magnitude of a vector can be defined as:

The length of a vector or the distance between the initial point and the endpoint of a vector.

Here given that,

[tex]A=2i+3j+4k\\B=i-2j+3k[/tex]

The magnitude of a vector is the length of the vector.

The magnitude of the vector a is denoted as ∥a∥.

For magnitude,

[tex]|A|=\sqrt{2^2+3^2+4^2}\\\\=\sqrt{4+9+16}\\\\=\sqrt{29\\\\}\\|B|\\=\sqrt{1^2-2^2+3^2}\\\\=\sqrt{1-4+9}\\\\=\sqrt{6}[/tex]

For Direction of sum,

[tex]\frac{A}{|A|}\\\\=\frac{1}{\sqrt29}[2i+3j+4k]\\\frac{B}{|B|}\\\\=\frac{1}{\sqrt{6}}[i-2j+3k][/tex]

For the vector B, the direction of the sum is

[tex]\frac{B}{|B|}\\\\=\frac{1}{\sqrt{6}}[i-2j+3k][/tex]

Hence, the magnitudes are [tex]|A|=\sqrt{29},|B|=\sqrt{6}[/tex]

and the direction are

[tex]A=\frac{1}{\sqrt29}[2i+3j+4k]\\\\B=\frac{1}{\sqrt6}[i-2j+3k][/tex]

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