for each table, find the constant of proportionality. use decimal notation if neccescry

Answer:

B. Not a function; does not pass the vertical line test
C. Is a function; does pass vertical line test

Domain of B: -3 to 1
Range of B: -1 to 4.5

Domain of C: -3 to 6
Range of C: -4 to 2

Step-by-step explanation:

What is vertical line test?
Vertical line test is when you draw vertical lines (up and down) on the line. If two points are on one line, that means it is not a function. B has a lot of lines that have the same X so that is why it is not a function.

What is domain and range? Domain is the x values and Range is the Y values. So you will want to put the numbers between where the y starts and stop.

Jose chooses variety between 49 and 95 that's a multiple of 2 , 6, and 8. is 72

By victimization the prime factorization methodology we are able to resolve the lowest common multiple of the given numbers. To calculate the lowest common multiple of 2 numbers victimization the prime factorization methodology, we have a tendency to use the steps given below:

Step 1: notice the prime factors of the given numbers by recurrent division methodology.

Prime factorization of 2 is given by

2 = 2 × 1

Prime factorization of 6 is is given by

6 = 2 × 3

Prime factorization of 8 is given by

8 = 2 × 2 × 2

Step 2: Write the numbers in their exponent type. notice the merchandise of solely those prime factors that have the best power.

Prime factorization of 2 is given by

2 = 2

Prime factorization of 6 is is given by

6 = 2 × 3

Prime factorization of 8 is given by

8 = 2³

Step 3: the merchandise of those factors with the best powers is that the lowest common multiple of the given numbers.

LCM will be =  2 × 3 × 2²

LCM of 2,6 and 8 = 24

Multiples of 24 between 49 and 95 is 72

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The lowest form of this fraction 49/100 is still 49/100.

It should be noted that a fraction can only be reduced to its lowest term if it has a common factor.

In this case, there is no common factor between 49 and 100.

Therefore, the lowest form of this fraction 49/100 is still 49/100

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The batches of bread and muffins should be made to maximize profits are 0 batches of bread and 16 batches of muffins

The given parameters can be represented on the following table

                 Bread (x)                    Muffins (y)

Prepare         4                                 1                         16

Bake             0.5                            0.5                        10

Profit            35                               10

The parameters from the above table are

Max P = 35x + 10y

Subject to

4x + y <= 16

0.5x + 0.5y <=10

x, y > 0

Solving the above constraints using a graphing calculator, we have the following points

(x, y) = (4, 0) and (0, 16)

Substitute these values in Max P = 35x + 10y

So, we have

P = 35 x 4 + 10 x 0 = 140

P = 35 x 0 + 10 x 16 = 160

160 is greater than 140

Hence, the batches of bread and muffins should be made to maximize profits are 0 batches of bread and 16 batches of muffins

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we get that Melissa is trying to solve the expression ( 3 + 4) ² - 9.

We are given that:

Melissa is simplifying an expression using the order of operations which can be addition, subtraction, multiplication or division.

She adds 3 and 4, squares the result, and subtracts 9.

We will first add 3 and 4:

3 + 4

Now we will square them:

( 3 + 4) ²

Now, we will subtract 9 from it:

( 3 + 4) ² - 9

So, the expression becomes:

( 3 + 4) ² - 9

Therefore, we get that Melissa is trying to solve the expression ( 3 + 4) ² - 9.

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Over a year, a prison's population dropped by 312 inmates. We know that 1 Year = 12 Months.

Additionally, considering that each of the 12 months declined at the same rate.

the Monthly decrease  in members = 312 / 12 = 26

Therefore, the expression used to calculate the monthly drop in prisoner population = Number of prisoners decreased per year / Number of months

Note: If the monthly drop rate is the same, the aforementioned equation is correct ( for all months in that year)

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Answer:

your answer is 7/2

Answer:

E) Line 5

Step-by-step explanation:

Line 5 contains the first incorrect mathematical process

Process

x−5(x+1)>3x+2

−4x−5>3x+2

−7x−5>2

−7x>7

x<−1

The expression come -70

given;

In mathematics, multiplication can be represented by using the symbol × or the symbol ·. Moreover, multiplication can be also represented just by leaving the numbers or values side by side without any symbol. For example, the expression 5x + y implies 5 should be multiplied by x. In this context, the expression  indicates -73 + 3

it means ; the number 73 substract from 3 and we get - 70.

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When we combine numbers and variables in a valid way, using operations such as addition, subtraction, multiplication, division, exponentiation, and other operations and functions as yet unlearned, the resulting combination of mathematical symbols is called a mathematical expression.

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The cost of the dryer will be $450

In the given sum the combined cost of the washer and dryer is $813

let the cost of the dyer be x

the cost of the washer will be (87 - x) as it is mentioned in the question washer costs $87 less than the dryer

According to the problem :

∴  x + (x-87) = 813

=> x+x-87 = 813

=> 2x - 87 = 813

=> 2x = 813 +87

=> 2x = 900

=> x = 900/2

=> x = 450

So the cost of the dryer is $450

The cost of the washer is = x - 87 = 450 - 87 = $363

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Answer:

B x=√28 using Pythagorean theorem

Answer:

Option C

Step-by-step explanation:

Given the data set, 23, 32, 20, 13, 27, 36, 29, 38, 23, 15, 30, 18, to find out which box-and-whisker plot matches the data, let's work out the 5-number summary needed for constructing a box plot.

The five-number summary includes the min, Q1, median, Q3 and max value.

Let's find them.

First, order the data set from the least to the largest

13, 15, 18, 20, 23, 23, 27, 29, 30, 32, 36, 38

Min = 13

Max = 38

Median = (23 + 27) ÷ 2 = 50 ÷ 2 = 25

Q1 = (18 + 20) ÷ 2 = 38 ÷ 2 = 19

Q3 = (30 + 32) ÷ 2 = 62 ÷ 2 = 31

The box-and-whiskers plot will have the description given in option C.

Step-by-step explanation:

We will assume “a number” is “a”. When it is cubed it will be represented by

= “a³”.

When we multiply the number with 5 then the new cube will be

= (5a)³

Now distribute the exponent to the factors inside the parentheses.

= 125a³

What happens in the parentheses is 5*5*5 = 125

a*a*a = a³

So by multiplying your number with 5 it gets increased by 125 times.

[tex]1/3 \longrightarrow 0.33 \\ \\ 1/2 \longrightarrow 0.50 \\ \\ 1/4 \longrightarrow 0.25 \\ \\ 3/4 \longrightarrow 0.75 \\ \\ 2/3 \longrightarrow 0.66[/tex]

The driver’s average speed for the laps driven is 192.972mph

The formula for average speed is given below:

    Average speed = (Sum of the lap speeds driven by the driver) / (Total   number of the lap speed driven by the driver)

Sum of the lap speed = 195.3 + 190.456 + 193.557 + 192.575 mph

                                = 771.888 mph

Number of lap speed driven by the driver = 4

Now putting the required values in the formula of average speed we get

   Average speed = 7771.888/4 mph

                               = 192.972 mph

Hence the driver’s average speed for the laps driven is 192.972mph

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Answer:

5

Step-by-step explanation:

f(2) = (2)^2 +2(2) - 3

f(2) = 4 + 4 - 3

f(2) = 8 - 3

f(2) = 5

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Answer:

bca

Step-by-step explanation:

5x5=25 5 to the power of 2 is 25 plus the power of x on all of them

Equation giving the length of this rod at temperature is g = 0.000085t + 84.991075 cm.

What is temperature ?

Given that,

Temperature denoted by T

G - L = aL(t - T)

G = aLt +  L(1 - aT)

Slope = aL

Intercept = L(1 - aT)

g = 0.000085t + 84.991075 cm

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{a\times b}}[/tex]

[tex]\mathsf{= 24\times8}[/tex]

[tex]\mathsf{= 192}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{192}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

1. The number of edible portions (EP) is 64.

2. The food cost per portion = $0.75 per portion.

The number of edible portions can be determined by first converting the case weight in pounds into ounces.

There are 16 ounces in a pound. 20 pounds will equal 320 ounces by multiplication (16 x 20).

Then, divide 320oz by 5oz to determine the number of portions.

Yield:                      90%

Purchase Unit:       10 boxes = 1 case

Case Weight:        20 lbs

Case Cost:           $48.00

Portion Size:         5oz

1lb = 16oz

20lbs = 320oz (20 x 16)

Edible portions (EP) = 64 (320oz/5oz)

Food cost per portion = $0.75 per portion ($48/64).

Thus, the number of edible portions is 64 with the food cost per portion as $0.75.

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She will lease out 21 apartments in the month of October.

We are given that a leading agent leases 15 apartments in the month of September.

Number of apartments in the month of September = 15.

Now, it is also given that she leases 40 % more apartment in the next month that is October.

Number of apartments in the month of October. = 15 + 40 % of 15

Number of apartments = 15 + 40 / 100 × 15

Number of apartments = 15 + 6

Number of apartments = 21 apartments.

Therefore, she will lease out 21 apartments in the month of October.

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Answer:

Step-by-step explanation:

Given the quadratic equation y = 2x² +7x -9, you want the coordinates of the x- and y-intercepts.

The values of x where y=0 can be found by factoring the equation.

  y = (2x +9)(2x -2)/2 = (2x +9)(x -1)

The constants 9 and -2 in the binomial terms are factors of the product of leading and trailing coefficients (2)(-9) = -18. Those factors are chosen because their sum is 7, the middle coefficient.

The x-intercepts are the values of x that make these factors zero:

  2x +9 = 0   ⇒   x = -9/2

  x -1 = 0   ⇒   x = 1

Points A and B are ...

The y-value at point C is where x=0. It is the constant in the quadratic equation.

  y = 2(0²) +7(0) -9 = -9

Point C is ...

the correct answer is 6259

Answer:

What's the question?

Step-by-step explanation:

Answer:

y = 19.2

Step-by-step explanation:

We know there is relationship between y and x, so according to the formula [tex]y = kx[/tex]

k = 12/5

we get one function y = 2.4x

when x = 8, input it into the function,

y = 2.4×8 = 19.2

Answer:

238, 400, 906, 360, 450, etc. and all numbers ending in 0, 2, 4, 6, 8.

Step-by-step explanation:

All even numbers are divisible by 2.

An even number is an integer whose ones digit is a 0, 2, 4, 6, o5 8.

Answer:

Step-by-step explanation:

sin(A)=2/5

[tex]cos^2(A) +sin^2(A)=1\\cos^2(A)+[\frac{2}{5}]^2=1\\cos^2(A)+\frac{4}{25}=1\\ cos^2(A)=1-\frac{4}{25}\\ cos^2(A)=\frac{21}{25}\\ cosA=\frac{\sqrt{21} }{5}[/tex]