Find the slope of the line described by 3y = x + 6.

Answers

Answer 1

\(3y = x +6 \\\\\implies y = \dfrac 13 (x+6)\\\\\implies y = \dfrac 13 x + 2\\\\\text{The above equation is in a form of y = mx +b, where m is the slope.}\\\\\\\text{Hence slope of the line,}~ m= \dfrac 13\)


Related Questions

When the expression 3(n + 7) is evaluated for a given value of n, the result is 33. What is the value of n.

Answers

Answer:

i think n = 4

Step-by-step explanation:

3(n+7) = 33

3n+21 = 33

3n = 12

n = 4

Answer:

n=4

Step-by-step explanation:

3(n+7)=33

3n + 21=33

3n=33-21

3n=12

n=12÷3

n=4

Which of the following rational functions is graphed below?

Which of the following rational functions is graphed below?

Answers

Answer:

B

Step-by-step explanation:

The vertical asymptotes are the red dashed lines. They are x = -4 and x = 0. Think of them as electric fences that the graph cannot touch or cross. The curve can only get closer and closer.

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CAN SOMEONE HELP ME PLEASE ASAP!

CAN SOMEONE HELP ME PLEASE ASAP!

Answers

Answer:

1 and 3

Step-by-step explanation:

The reason 1 and 3 are similar due to the fact 3x2 is 6 (one side of 3) and 5x2 is 10 (another side of 3) therefore they are similar because one is sized up slightly.

How many 4-letter code words can be formed from the letters D, C, O, N, O, U if no letter is repeated? If letters can be repeated? If adjacent letters must be different? There are 30 possible 4-letter code words if no letter is repeated (Type a whole number)

Answers

Part 1:The letters available are D, C, O, N, O, U. Since no letter is repeated, we can use the rule of permutations to find the number of 4-letter code words that can be formed. The formula for the number of permutations of n distinct objects taken r at a time is: P(n, r) = n!/(n-r)!We have 6 distinct objects (letters) and we want to take 4 of them.

Therefore, the number of 4-letter code words that can be formed without any repetition is:P(6, 4) = 6!/(6-4)! = 6!/2! = 6*5*4*3 = 360So, there are 360 possible 4-letter code words that can be formed if no letter is repeated.Part 2:If letters can be repeated, then we can use the rule of permutations with repetition. The formula for the number of permutations of n objects taken r at a time, with repetition, is:n^rWe have 6 objects and we want to take 4 of them, with repetition.

Therefore, the number of 4-letter code words that can be formed with repetition is:6^4 = 6*6*6*6 = 1,296So, there are 1,296 possible 4-letter code words that can be formed if letters can be repeated. and then we must choose a different letter for the third position, and then we must choose a different letter for the fourth position. After that, we can repeat the cycle starting with the first letter againAdjacent letters must be different: There are 120 possible 4-letter code words that can be formed.

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A sequence is defined by the explicit formula an=3n+4. Which recursive formula represents the same sequence of numbers?

Answers

The recursive formula that represents the same sequence of numbers as the explicit formula an = 3n + 4 is an = an-1 + 3, with the initial term a1 = 7.

A recursive formula defines a sequence by expressing each term in terms of previous terms. In this case, the explicit formula an = 3n + 4 gives us a direct expression for each term in the sequence.

To find the corresponding recursive formula, we need to express each term in terms of the previous term(s). In this sequence, each term is obtained by adding 3 to the previous term. Therefore, the recursive formula is an = an-1 + 3.

To complete the recursive formula, we also need to specify the initial term, a1. We can find the value of a1 by substituting n = 1 into the explicit formula:

a1 = 3(1) + 4 = 7

Hence, the complete recursive formula for the sequence is an = an-1 + 3, with the initial term a1 = 7. This recursive formula will generate the same sequence of numbers as the given explicit formula.

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HELP! Explain fully so i dont have to waste my points asking more questions

HELP! Explain fully so i dont have to waste my points asking more questions

Answers

Answer:

What grade are you?????????......

Answer:

x= -9/2=-4 1/2=-4.5

x-9/2

What values would you enter into the One Proportion applet to run an analysis for Jerry?

Answers

To run a one-proportion hypothesis test for Jerry using the One Proportion applet, we would need to enter sample size, hypothesized proportion and number of successes.

To run a one-proportion hypothesis test for Jerry using the One Proportion applet, we would need to enter the following values:

-The sample size (n) - the number of participants in Jerry's study.

-The number of successes (x) - the number of participants who showed a preference for the new product in Jerry's study.

-The hypothesized proportion (p0) - the proportion of participants who are expected to show a preference for the new product based on the null hypothesis. This value is typically set to the proportion stated in the null hypothesis.

The significance level (alpha) - the level of significance used to determine the critical value and p-value for the test. This value is typically set to 0.05.

Once these values are entered into the One Proportion applet, we can run the analysis and obtain the test statistic (z-score), the critical value, and the p-value. We can then compare the p-value to the significance level to determine whether to reject or fail to reject the null hypothesis.

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Please help me get the answer

Please help me get the answer

Answers

Answer: c

Step-by-step explanation:

C is the answerrrrrrrrr

I NEED HELP ASAP I NEED MAJOR HELP!!! GIVING POINTSS AND BRAINLIEST!!!!!

What linear function can be represented by the set of ordered pairs?

{(-4, 15), (0, 5), (4, -5), (8, -15)}

A) 5/2x+5
B) −5/2x+5
C) −2/5x+5
D) 2/5x+5

Answers

Answer:

C) −2/5x+5

Step-by-step explanation:

Here is why me is lonley :)))

I NEED HELP ASAP I NEED MAJOR HELP!!! GIVING POINTSS AND BRAINLIEST!!!!!What linear function can be represented

A rectangle has a length of 15.8 inches and a width of 11.9 inches. What is the area of the rectangle? Enter your answer as a decimal in the box. in²

Answers

Answer:

Hi, I belive your answer is 188.02

sorry if it is wrong

Here is how to get the answer which is 188.02; 11.9 x 15.8= 188.02in²

and here you go have a splendid day!

Step-by-step explanation:

Answer:

188.02

Step-by-step explanation:

Please help i am confused

Please help i am confused

Answers

Answer:

18 +2

Step-by-step explanation:

it's like 3x you just add each side 3 then you will get the answer. and the (+2) stays the same.

Given: f(x) = 2x - 8 and g(x) = 3x + 6 find: (fg)(2)

Answers

f(x) = 2x - 8

g(x) = 3x + 6

To find (fg)(2)​ multiply both functions by each other and replace x by 2:

(fg) (2)= (2x-8) (3x+6)

(fg) (2)= (2[2]-8) (3[2]+6)

(fg) (2) = (4-8) (6+6)

(fg) (2) = -4 (12)

(fg) (2) = -48

Maria orders 8 pizzas for 24 people coming to her party.
a) How many people can be fed

b) How many pizzas would she need if 33 people come to the party.

Answers

Using the arithmetic operation of division -

a) 3 people can be fed by 1 pizza.

b) Maria would need 11 pizzas for 33 people.

What is arithmetic operation?

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

The number of pizzas ordered = 8

The number of people are = 24.

Number of people that can be fed if 1 pizza was there =

Number of people = Number of people that came/ Number of pizza

Use the arithmetic operation of division -

Number of people = 24/8

Number of people = 3

Therefore, 3 people can be fed.

Now, the number of people = 33

Number of pizzas required for 33 people can be obtained as -

Use the arithmetic operation of division -

Number of pizzas = Number of people/ Number of people fed by 1 pizza

Number of pizzas = 33/3

Number of pizzas = 11

Therefore, Maria will require 11 pizzas.

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you are testing the claim that the proportion of couples who own cats is significantly different than the proportion of single indivduals who own cats. you sample 60 couples, and 85% own cats. you sample 100 singles, and 55% own cats. find the test statistic, rounded to two decimal places.

Answers

The test statistic of the population is 3.87.

Sample 60 men, and 85% own cats.

Sample 100 women, and 55% own cats.

(p-bar), as a decimal, rounded to two decimal places.

p-bar = 0.85 - 0.55 = 0.3

determining whether the alleged difference between the percentage of men and women who own cats is true.

x1 = 60 × 0.85 = 51

x2 = 100 × 0.55 = 55

pooled proportion p = (x1 + x2) ÷ (n1 + n2) =  (51 + 55) ÷ 160 = 0.6625

z = (p1 - p2) ÷ √(p × (1-p) × (1 ÷ n1 + 1 ÷ n2))

z = (0.85 - 0.55) ÷ √(0.66 × 0.34 × (1 ÷ 60 + 1 ÷ 100))

z = 3.87

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Hehshshnsbsndjxzkjjjjjkknvvhjkn

Answers

Answer:

good luck with math

Step-by-step explanation:

plzz give brainly

2.Yolanda is buying supplies for school. She buys n packages of pels at $1.40 per package and m pads of paper at $1.20 each. What does each term in the expression 1.4n + 1.20m represent? What does the entire expression represent? Interpret the meaning of the term 1.4n. What does the coefficient 1.4 represent? Interpret the meaning of the term 1.20p. What does the coefficient 1.20 represent?

Answers

Answer: 1.4n represents the cost of n packages of pels.

1.20m represents cost of m pads.

Entire expression 1.4n + 1.20m represents total cost of n packages of pels and m pads.

Meaning of 1.4n  =  cost of n packages of pels.

Meaning of 1.20 m = represents cost of m pads.

where , 1.4 = Cost per package of pels

1.2 =Cost per pad of paper

Step-by-step explanation:

Given: Cost per package of pels = $1.40

Cost per pad of paper = $1.20

Number of packages of pels bought = n

Number of pads of paper bought = m

So, 1.4n represents the cost of n packages of pels.

1.20m represents cost of m pads.

Entire expression 1.4n + 1.20m represents total cost of n packages of pels and m pads.

Meaning of 1.4n  =  cost of n packages of pels.

Meaning of 1.20 m = represents cost of m pads.

where , 1.4 = Cost per package of pels

1.2 =Cost per pad of paper

what is the explicit formula for this sequence? -7,-3,1,5,…

Answers

Answer:

\(a_n=4n-11\)

Step-by-step explanation:

The common difference is \(d=4\) with the first term being \(a_1=-7\), so we can generate an explicit formula for this arithmetic sequence:

\(a_n=a_1+(n-1)d\\a_n=-7+(n-1)(4)\\a_n=-7+4n-4\\a_n=4n-11\)

A 16 oz pack of green salad costs $2. Find the price of salad per ounce. Also, find the cost of 8 oz, 12 oz, 18oz, and 28 oz packs of salad.

A 16 oz pack of green salad costs $2. Find the price of salad per ounce. Also, find the cost of 8 oz,

Answers

step 1

Find out the unit price

Divide the total cost by the total ounces

so

2/16=$0.125 per ounce

step 2

Find the cost of 8 oz

Multiply the number of ounces by the unit price

so

0.125*8=$1

Find the cost of 12 oz

0.125*12=$1.5

Find the cost of 18 oz

0.125*18=$2.25

Find the cost of 28 oz

0.125*28=$3.5

WHAT IS 15.7188888888 X 18 TO THE POWER OF SIX DIVIDED BY 7 Plus 3

Answers

I think it is green

Find the inverse of the function. Is the inverse a function? f(x) = (x − 2)2

Answers

Answer:

\(f^{-1}(x)=\sqrt{x}+2\)

Step-by-step explanation:

Given function is,

f(x) = (x - 2)²

Step - 1

Rewrite the function in the form of a equation.

y = (x - 2)²

Step - 2

Interchange the variables 'x' and 'y',

x = (y - 2)²

Step - 3

Solve the equation for y,

x = (y - 2)²

y - 2 = √x

y = 2 + √x

Step - 4

Rewrite the equation in the form of a function,

\(f^{-1}(x)=\sqrt{x}+2\)

6 Find the mistakel Circle the mistake below and explain why it is wrong: Label all consecutive Interior angles below then give its Explanation: characteristics. Consecutive interior angles are equal.
PLEASE HELP!!!!​

Answers

Answer:

Step-by-step explanation:

I can't help u

What would be a sound, simple, straightforward way to describe IQR (Interquartile range)

Answers

Answer:

IQR: is the length of the middle 50% of that interval of space

Step-by-step explanation:

In order to find IQR, subtract the third interquartile range - the first interquartile range

write a equation of a line in slope-intercept form for slope: 5/6, y intercept: 8

Answers

Your answer is y=5/6x+8. I hope this helps

if the work required to stretch a spring 1 ft beyond its natural length is 15 ft-lb, how much work is needed to stretch it 6 in. beyond its natural length?

Answers

To stretch a spring 1 ft. from its natural length, a 15 ft-lb work is needed. To stretch a spring 6 in. from its natural length, the required work is 3.75 ft-lb

The work done on a spring is given by the formula:

W = 1/2 . kx²

Where:

k = spring constant

x = spring displacement

From the formula, we know that the work is directly proportional to the square of displacement, or mathematically:

                W ∝ x²

Therefore,

W₁ : W₂ = x₁² : x₂²

Data from the problem

W₁ = 15 ft-lb

x₁ = 1 ft

x₂ = 6 in. = 0.5 ft

Hence,

15 : W₂ = 1² : 0.5²

W₂ = 0.25 x 15 = 3.75 ft-lb

Hence, the required work to stretch the spring 6 in beyond its natural length is 3.75 ft-lb

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Can someone please help me. If you do thanks

Can someone please help me. If you do thanks

Answers

Answer:

(B)

Step-by-step explanation:

Can't explain lol, but that's the answer

Yes the answer is B!

6/15=3/x.

I'm going insane

Answers

Answer:

x = 7.5

Step-by-step explanation:

\( \frac{6}{15} = \frac{3}{x} \)

cross multiply expressions

6x = 45 divide both sides by 6

x = 7.5

the owner of a convenience store has determined that their daily revenue has mean $7200 and standard deviation $1200. the daily revenue totals for the next 30 days will be monitored. expressing the probability to four decimal places and for two points, what is the probability that the mean daily revenue for the next 30 days will exceed $7000?

Answers

The probability that the mean daily revenue for the next 30 days will exceed $7000 is 47.60%.

Define the term z score?The Z-score indicates the discrepancy between a given value and the standard deviation. The Z-score, also referred to as the median score, indicates how often standard deviations an actual data point deviates from the mean.

The formula for the z score is-

z = (x - μ)/σ

In which,

z = standard scorex = observed value  (= $7000)μ = mean ( = $7200)σ = standard  deviation (=$1200)

Put the value in formula

z = (7000 - 7200)/1200

z = - 0.16

Thus,

P(x > $7000) = P(z >  - 0.16)

See the p- value for obtained z from negative z score table.

P(x > $7000) = 0.4760

Thus, the probability that the mean daily revenue for the next 30 days will exceed $7000 is 47.60%.

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Dan earns $9.50 per hour as a dishwasher. Determine the fewest number of hours he must work to earn
more than $408.

Answers

Answer:

43 hours

Step-by-step explanation:

\(\frac{y}{1} :\frac{408}{9.5}\)

y × 9.5 = 408 × 1

9.5y = 408

9.5y ÷ 9.5 = 408 ÷ 9.5

\(y=42\frac{18}{19}\)

43 hours

9.50x>=408
____ ___
9.50 9.50

X> = 42.9 or 43

So 43 hours

x = if, 5x +4 = 3x + 6?

Answers

Answer:

X=1

Step-by-step explanation:

Answer:

X would equal 1

what is the missing value in the following arithmetic sequence? n 1 2 3 4 5 an 2 3.8 5.6 9.2 7.1 7.2 7.4 7.5

Answers

The missing value in the arithmetic sequence is 11.

What is Arithmetic Sequence?

An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

To find the missing value in the arithmetic sequence, we need to first determine the common difference between consecutive terms.

To do this, we can subtract any two consecutive terms, such as the second and first terms:

3.8 - 2 = 1.8

This tells us that the common difference is 1.8.

Now, we can use this common difference to find the missing value, which is the sixth term in the sequence. We can use the formula for the nth term of an arithmetic sequence:

a_n = a_1 + (n - 1)d

where a_n is the nth term, a_1 is the first term, n is the position of the term we want to find, and d is the common difference.

Using this formula with a_1 = 2, d = 1.8, and n = 6, we get:

a_6 = 2 + (6 - 1)1.8

a_6 = 2 + 5(1.8)

a_6 = 2 + 9

a_6 = 11

Therefore, the missing value in the arithmetic sequence is 11.

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