What is the equation of the line?

What Is The Equation Of The Line?

Answers

Answer 1
Answer is the last choice y= 2/3x - 2

Step by step

y = mx + b is our formula

We can see on the graph the y intercept is -2 so b= -2

We can see the slope is +2 rise over +3 run, so m = 2/3

Your answer is y = 2/3x -2

Problem solved!
What Is The Equation Of The Line?

Related Questions

15. what are the coordinates of point u, point v, and point w

Answers

Answer:

is there a picture because this can't be solved without a picture

PLease help it’s due tomorrow morning

Explain the step that is used to solve the equation

-x = -16

Answers

Answer:x=16

Step-by-step explanation:

just divide both sides by negative 1

A model of a famous statue is 3 1/2 inches tall. The actual statue is 5 1/4 feet tall. What is the ratio of the height of the model to the height of the actual statue in simplest​ form?

Answers

A model of a famous statue is  [tex]3\frac{1}{2}[/tex]inches tall. The actual statue is  [tex]5\frac{1}{4}[/tex] feet tall, the ratio of the height of the model to the height of the actual statue in simplest​ form is  [tex]3\frac{1}{2}[/tex]:63

What is a ratio mean?

A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3). The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of the lemons to oranges is 6:8 (or 3:4). (or 4:7).

A ratio can have any number of quantities, such as counts of people or things or measurements of the length, weight, time, etc. Both the numbers must be positive in most situations.

You can specify a ratio by either writing out both of the integers that make it up, "a to b" or "a:b", or by giving just the value of their quotient a/b. Equal quotients correspond to the equal ratios.

A ratio can therefore be thought of as an ordered pair of integers, a fraction with first number in the numerator and the second in the denominator, or as the value represented by this fraction. Ratios of the counts that are expressed in terms of (non-zero) natural numbers are rational numbers and occasionally natural numbers as well. The ratio of the two numbers is a dimensionless number when they are measured using the same unit, which happens frequently. A rate is product of two quantities that are divided by their respective units of measurement.

Given,

A model of a famous statue is [tex]3\frac{1}{2}[/tex] inches tall.

The actual statue is [tex]5\frac{1}{4}[/tex] feet tall

1 feet = 12 inches

21/4 ft = 12*21/4 inches = 63 inches

Therefore the ratio is

[tex]3\frac{1}{2}[/tex]:63

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Given P(A) = 0.6, P(B) = 0.42 and P(B|A) = 0.63, find the value ofP(An B), rounding to the nearest thousandth, if necessary

Answers

Here, we are given;

P(A)=0.6

P(B)=0.42

P(B/A)=0.63

We have to find;

[tex]P(A\cap B)[/tex]

Now,

[tex]P(\frac{B}{A})=\frac{P(A\cap B)}{P(A)}[/tex]

This is the formula for finding conditional probability.

From here,we can see that we have values of P(B/A) and P(A) and we can easily find P(Aand B) from here.

Since P(A)>0 so we can use this formula.

Therefore,

[tex]\begin{gathered} P(A\cap B)=P(A)\times P(\frac{B}{A}) \\ P(A\cap B)=0.6\times0.63 \\ P(A\cap B)=0.378 \end{gathered}[/tex]

Please help me!!!!!!!!!

Answers

Answer:

m∠TQS = 137°

m∠RQS = 43°

Step-by-step explanation:

It is given that ∠RQT is a straight angle
That means that this angle is 180° and RQT is a straight line

Therefore m∠TQS + m∠RQS = m∠RQT = 180°

Given
m∠TQS = (6x + 20)° and m∠RQS = (2x + 40)°

adding the two angles together will imply
(6x + 20)° +  (2x + 40)° = 180°

=> 6x + 20 + 2x + 4 = 180
=> 6x + 2x + 20 + 4 = 180

=> 8x + 24 = 180

=> 8x = 180 - 24= 156

=> x = 156/8 = 19.5

Substitute for x in  the angle expressions
m∠TQS = 6x + 20 = 6(19.5) + 20 = 117 + 20 = 137°

m∠RQS  2x + 4 = 2(19.5) + 4  = 39 + 4 = 43°
(or we could subtract m∠TQS from 180 to get 180 - 137 = 43°)

Check if they add up to 180°
137° + 43° is indeed 180°

don’t know what to do

Answers

A power function has the formula f(x) = kxⁿ,

A power function is a function that has a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real value. (A coefficient is a value that increases an exponent by a variable.)

A power function has the formula f(x) = kxⁿ, where k and n are both real numbers. You can change the appearance of a power function's graph by changing the values of k and n. As a result, in this graph, n is greater than zero.The Power function produces an integer that has been raised to a particular power. Power is an alternative for the exponent operator in a mathematical equation (^). The Power function only takes two arguments: number and power. Number must be a numeric value that is either a hardcoded constant or a cell reference.

Monomial functions:

Linear: y=3x+5

Quadratic: y = x²

Constant: y = 6

Cubic: y = x³+5

Quartic : y = x⁴

Quantic : y = x⁵

Therefore the function with a power function is given by y = k xⁿ

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Solve the given system of equations.S =t =-6s+ 3t = - 45-s-5t= -2

Answers

[tex]\begin{cases}{-6s+3t=-45} \\ -s-5t={-2}\end{cases}[/tex]

1. Solve s in the second equation:

[tex]\begin{gathered} -s-5t=-2 \\ -s=-2+5t \\ s=-(-2+5t) \\ s=2-5t \end{gathered}[/tex]

2. Substitute the s in the first equation by the value you get in the previous step:

[tex]-6(2-5t)+3t=-45[/tex]

3. Solve t:

[tex]\begin{gathered} -12+30t+3t=-45 \\ -12+33t=-45 \\ 33t=-45+12 \\ 33t=-33 \\ t=\frac{-33}{33} \\ \\ t=-1 \end{gathered}[/tex]

4. Use the value of t to solve s:

[tex]\begin{gathered} s=2-5t \\ s=2-5(-1) \\ s=2+5 \\ s=7 \end{gathered}[/tex]Then, the solution of the given system of equations is s=7t= -1

identify the y-intercept: 6 - 2y = -6

Answers

Finding the y-intercept

We know that the equation of a line is given by

y = mx + b, where m and b are numbers:

m is the slope of the line and b is the y intercept.

In this case we have the equation:

6 - 2y = - 6

We clear y so we can identify m and b

6 - 2y = -6​

6 = -6​ + 2y

6 + 6​ = 2y

12 = 2y

12/2 = y

6 = y

In this case

y = 6

Then m=0 and b = 6

Then, the y-intercept is b =6

WILL GIVE BRAINLEIST
Which steps show how to use distributive property to evaluate 5 x 38

Answers

Answer:

The answer is most definitely A. It is the only answer that reaches the correct value of 190, which is what 5 * 38 equals. However, to put it into perspective...

Step-by-step explanation:

When we use the distributive property we are breaking down something sometimes, and in this case, very simple into a more extended form.

5 * 38 is the same as saying 5(40 - 2). We also know that if we subtract the sum of 5 * 2 from 5 * 40, it will end up the same as 5 * 38 because you are multiplying 5 two times less.

5 * 40 = 200

5 * 2 = 10

200 - 10 = 190

The answer is A

;)

In a right triangle ABC, < B = 90°. If AC=13cm, BC= 5cm, find AB ​

Answers

Answer:

AB = 12cm

Step-by-step explanation:

ABC is the right triangle, that means we can use theorem: AC²=AB²+BC²

AB²=AC²-BC²=13²-5²=169-25= 144

AB=√144

AB=12cm

What is the minimum additional information would you need in order to be able to state that the triangles are congruent by AAS? ​

Answers

The minimum additional information needed in order to be able to state that the triangles are congruent by AAS is . Option A

[tex]\angle A B C=\angle A D C[/tex]

This is further explained below.

What is the congruent  angle?

Generally, The triangles are said to be congruent if they satisfy the AAS (Angle-Angle-Side) condition, which states that if two angles and a non-included side in one triangle are congruent to two angles and the equivalent non-included side in another triangle, then the triangles are congruent.

In conclusion, The following pieces of knowledge are the bare minimum that is required in order to be able to make the assertion that the triangles are congruent according to AAS:

[tex]\angle A B C=\angle A D C[/tex]

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PLEASE HELP!!!! 40 POINTS
solve for y. 49-y=6y

Answers

Answer:

y = 7

eight grade math comes back to haunt me

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

5b+10+2b-4 =7b+6

How to do it:
Start by finding like terms (terms with the same variable)

5b and 2b are like terms because they have the same variable (b)

10 and -4 are like terms because they both have no variable

Combine like terms
5b+2b=7b

10-4 =6

So the answer is 7b+6! Hope this helps my friend. :)

Answer:

7b + 6

Step-by-step explanation:

Given expression,

→ 5b + 10 + 2b - 4

Let's solve the expression,

→ 5b + 10 + 2b - 4

→ (5b + 2b) + (10 - 4)

→ 7b + 6

Hence, answer is 7b + 6.

A hiker walked 15 miles from 8:00 a.m. to noon. He walked an additional 18 miles from 1:00 p.m. to 7:00 p.m.
What is his average rate for the entire walk, in miles per hour?

Answers

The average rate for the entire walk of hiker is 3.75 miles per hour by the concept of average speed.

What is average speed?

The instantaneous speed is the upper limit of the average speed as the duration of the time interval approaches zero. An object's average speed during a certain period of time is equal to its distance traveled over that period divided by its duration. Speed and velocity are distinct concepts.

The whole distance traveled divided by the total time results in the average rate for the entire walk, expressed in miles per hour.

Given that:

Distance A = 12.8 miles

Distance B = 17.2 miles

Total distance = Distance A + Distance B

Total distance= 12.8 + 17.2

Total distance= 30 miles

Time A = 9:00 a.m. to noon = 3 hours

Time B = 1:00 p.m. to 6:00 p.m. = 5 hours

Total time = Time A + Time B

Total time= 3 + 5

Total time= 8 hours

Average rate = Total distance/Total time

Average rate= 30 miles/8 hours

Average rate= 3.75 miles per hour

Therefore, the average rate for the entire walk of hiker is 3.75 miles per hour.

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7x - 7; x = 4................

Answers

Answer:

21

Step-by-step explanation:

7x - 7

=> substituting x = 4

=> 7(4) - 7

=> 28 - 7

=> 21

Part B If m=18, what must be the value of n for the equation to have infinitely many solutions? Explain your answer

Answers

The equation have infinitely many solution when n is equal to -15.41.

What is linear equation?

A linear equation in one variable is an equation which has a maximum of one variable of order 1. It is of the form ax + b = 0, where x is the variable. This equation has only one solution.

Given equation is;

24( mx + n ) = 3x + 17

where; m and n are real numbers.

Part 1.  If m = 14 and n = 13 then

Putting the value of m and n in the equation we get;

= 24( 14.x + 13 ) = 3x + 17

=  336x + 312 = 3x + 17

=  336x - 3x = 17- 312

=  333x = -295

x = 0.886

Hence,  x = 0.886  the equation having one solution .

part 2.  if m = 18 then to find n .

put m = 18 in the given equation;

= 24(18.(0.886) + n ) = 3(0.886) + 17

= 24(15.94) + 24n = 2.658 + 17

= 382.56 + 24n = 19.658

= 24n = 19.658 - 382.56

n = -15.41

Hence, The equation have infinitely many solution when n is equal to -15.41.

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The complete question is;

PART A: Rosie writes the equation 24(mx+n)=3x+17, where m and n are real numbers.

If m=14 and n=13, does the equation have one solution, infinitely many solutions, or no solutions? Explain your answer.

the number of students in the school went from 1028 down to 755 what is the percent decrease?

Answers

Step-by-step explanation:

100% = 1028

1% = 100%/100 = 1028/100 = 10.28

the decrease was

1028 - 755 = 273

these 273 were how many % ?

as many % as how often 1% fits into 273 :

273 / 10.28 = 26.55642023... %

this was a 26.55642023...% decrease.

Circle the two subtraction problems that have a difference of 10.2.

Answers

The problems with a difference of 10.2 are:

16.29 - 6.09 = 10.236.1 - 25.9 = 10.2

We are given some subtraction problems for which we need to find the ones with a difference of 10.2.

The problems are:

12.05 - 2.03

16.29 - 6.09

36.1 - 25.9

22.09 - 21.07

10.82 - 9.8

We find the difference for each of them one-by-one after subtraction.

12.05 - 2.03 = 10.0216.29 - 6.09 = 10.236.1 - 25.9 = 10.222.09 - 21.07 = 1.0210.82 - 9.8 = 1.02

The question is incomplete. Find the complete question below:

Circle the two subtraction problems that have a difference of 10.2.

12.05 - 2.03

16.29 - 6.09

36.1 - 25.9

22.09 - 21.07

10.82 - 9.8

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i need help ASAP show your work

Answers

Answer:

a=5

Step-by-step explanation:

1/3(6a-15)=(a-2)+2

1/3(6a-15)=a

6a-15=3a

3a=15

a=5

:]

Step-by-step explanation:

1.multiply in first bracket

[tex]2a - 5 = a + 0[/tex]

2.Take unknowns to left and constants to the right

[tex]2a - a = 5[/tex]

3.solve for a

[tex]a = 5[/tex]


If 2x² + 7x + 10 = p(x+q)² +r for all values of x, find the values of p and q

Answers

If the coordinates of the vertex of a parabola are known [tex]V(p,k)[/tex], the equation for that parabola can be written by the following formula;7

[tex]y=a.(x-p)^2+k[/tex]

Now let's find the vertex of the given equation.

[tex]V(p)=\frac{-b}{2a}=\frac{-7}{4} =p[/tex][tex]V(k)=f(p)=2(\frac{-7}{4} )^2+7(\frac{-7}{4} )+10=\frac{31}{8} =k[/tex]

We've found our vertex.

[tex]V(p,k)=(\frac{-7}{4} ,\frac{31}{8} )[/tex]

Let's substitute the unknowns in the formula I've given.

[tex]p(x+q)^2+r=p(x+\frac{7}{4} )^2+\frac{31}{8}[/tex]

Let's expand the expression and find the coefficient p.

[tex]px^2+\frac{7px}{2}+\frac{49p}{16}+\frac{31}{8} =2x^2+7x+10[/tex][tex]p=2[/tex]

Finally;

[tex]q=\frac{7}{4}[/tex]

[tex]p=2[/tex]

What is a hour and how manyyyy

Answers

Answer:

An hour is a unit of time.

Step-by-step explanation:

An hour is a period of 60 minutes.

1 hour = 60 minutes.

Answer:

an hour is the si unit of time

1 hour = 60 minutes

1 minutes = 60 seconds

pls mark as brainliest

Step-by-step explanation:

PLEASE HELP SOON!!

Q.1 What is the expression written in simplified radical form? 6 sqrt 27 + 11 sqrt 75


Q.2 53√5 x (-103√50)


Q.3 Which expressions simplify to a rational answer?

Select each correct answer.

1/4 + 1/2

sqrt3 + 4

sqrt4 + 7

2 x sqrt9

7 x sqrt6

4x2sqrt3

3. 7 x (1/3)

7 x sqrt81

Answers

Step-by-step explanation:

Q.1

6×sqrt(27) + 11×sqrt(75) =

= 6×sqrt(3×9) + 11×sqrt(3×25) =

= 3×6×sqrt(3) + 5×11×sqrt(3) =

= 18×sqrt(3) + 55×sqrt(3) = 73×sqrt(3)

Q.2

53×sqrt(5) × (-103×sqrt(50)) =

= 53×-103 × sqrt(5)×sqrt(50) =

= -5459 × sqrt(5×50) = -5459 × sqrt(250) =

= -5459 × sqrt(10×25) = -5459 × 5×sqrt(10) =

= -27,295 × sqrt(10)

Q.3

1/4 + 1/2 rational (as both terms are rational)

sqrt3 + 4 irrational (as sqrt(3) is not rational)

sqrt4 + 7 rational (sqrt(4) = 2, 2+7 = 9)

2 x sqrt9 rational (sqrt(9) = 3, 2×3 = 6)

7 x sqrt6 irrational (sqrt(6) is not rational)

4x2sqrt3 irrational (sqrt(3) is not rational)

3. 7 x (1/3) rational (all terms are rational)

7 x sqrt81 rational (sqrt(81) = 9, 7×9 = 63)

In 1924, the temperature in St. Louis, Missouri, dropped from 53 degrees to −11 degrees in 8 hours. What was the average hourly change in temperature?

(pls this is for a test rn)

Answers

Answer: -8°

Step-by-step explanation: the temperature dropped by 64 degrees over the span of 8 hours. 64/8 = 8.

Given three points of a quadratic function, find the equation of the function: (-1, -3), (0, -4), (2, 6)

A) f(x)=2x^2+2x−4f
B) f(x)=x^2+2x−4f
C) f(x)=x^2+x−4f
D) f(x)=2x^2+x−4f

Answers

The quadratic function has an equation of f(x) = 2x²+ x - 4

How to determine the equation of the function

From the question, the ordered pairs are given as

(-1, -3), (0, -4), (2, 6)

A quadratic function is represented as

f(x) = ax²+ bx + c

Using the point (0, -4), we have

a(0)²+ b(0) + c = -4

So, we have

c = -4

This gives

f(x) = ax²+ bx - 4

Using the point (-1, -3), we have

a(-1)²+ b(-1) - 4 = -3

So, we have

a - b = 1

Using the point (2, 6), we have

a(2)²+ b(2) - 4 = 6

So, we have

4a+ 2b  = 10

So, we have

a - b = 1

This gives

a = b + 1

Substitute a= b + 1 in 4a+ 2b  = 10

4(b + 1) + 2b  = 10

This gives

4b + 4 + 2b  = 10

Evaluate

6b = 6

Divide

b = 1

So, we have

a = 1 + 1

a = 2

So, we have

f(x) = 2x²+ x - 4

Hence, the equation is f(x) = 2x²+ x - 4

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Julia owns a food truck that sells tacos and burritos. She only has enough supplies to make 67 tacos or burritos. She sells each taco for $3.75 and each burrito for $6. Julia must sell no less than $330 worth of tacos and burritos each day. If 42 burritos were sold, determine all possible values for the number of tacos that Julia must sell in order to meet the requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.

Answers

Julia must sell 21 tacos to meet the requirement .

Given: Price of each taco = $ 3.75

Price of each burrito = $ 6

Total amount of money she needs to earn = $ 330

Also the number of burritos sold= 42.

So the total amount earned on selling these burritos= 42× 6 = $ 252

And as it is given that total money she needs to earn is $ 330 .

so required money= $ 330- $ 252

=$ 78

Thus the total number of tacos she needs to sell = 78/ price of 1 taco

= 78/ 3.75

= 20.8 ≈ 21

Thus Julia must sell 21 tacos to meet the requirement .

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Write an equivalent expression for -3(7+5g)

Answers

Answer:

-3(12g)

Step-by-step explanation:

Because if we simplify the 7+5g to 12g because 7+5=12.

Therefore,

-3(7+5g)= -3(12g)

which situation is best modeled by an exponential distribution? tafadzwa runs between 10 and 16 laps every day. his times get slower as he gets tired, but his daily average is 48.2 s per lap. what is the probability that his mean lap time tomorrow will be less than 45 s? suppose that meteors large enough to cause mass extinction strike the earth at regular, although exceedingly large, intervals. what is the probability that a large meteor strike will cause a mass extinction event within the next 1000 years? on a dark desert highway, drivers fall asleep and run off the road randomly. what is the probability that a driver will run off the road in one particular 10-mile stretch of this highway? suppose that people call in sick randomly and independently of one another at a business called acme anvil supply. on average, one person calls in sick per week. what is the probability that no one will call in sick next week? suppose that 0.76% of tires are defective, and defective tires occur independently of one another. what is the probability that no more than three of the next 100 tires are defective?

Answers

The situation that is best represented by an exponential distribution is given by the following option:

Tafadzwa runs between 10 and 16 laps every day. his times get slower as he gets tired, but his daily average is 48.2 s per lap. what is the probability that his mean lap time tomorrow will be less than 45 s?.

Exponential distribution

The exponential probability distribution, with mean m, is described by the following mass function:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

From this, we get that the exponential distribution is used when we want to study the time between events in a distribution, and only the first option in this problem gives it.

As for the other options, the distributions are as follows:

Meteor: Poisson distribution or binomial distribution, mean in a given time, we want to find the probability of a number.Drivers asleep in the highway: Poisson or binomial, also number of events in an interval.People calling in sick: Binomial distribution.Defective tires: Binomial distribution.

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Vă rog mult de tot
√ ( 2√2-3 ) ² + |2√2 + 5|-|-2,5 |​

Answers

Answer: 4√2-0.5

Step-by-step explanation:

[tex]\sqrt{(2\sqrt{2}-3)^2 } +|2\sqrt{2}+5|-|-2.5|=\\\\|2\sqrt{2}-3|+(2\sqrt{2}+5)-(2.5 )=\\\\2\sqrt{2}-3+2\sqrt{2}+5-2.5 =\\\\4\sqrt{2} -0.5[/tex]

The value of y varies directly with x. If y = 8, when x = 4, what is y when x = 48?

Answers

Answer:

96

Step-by-step explanation:

If Y is directly proportional (or in this case varies directly) then whatever you do to one value you do to the other.

So in this case, when Y = 8 and X = 4 that means that Y is double of X (cause 8 is double 4).

So when X = 48 all you need to do is double X which will give you 96.

76,300,000 in scientific notation

Answers

Answer:

7.63 x 10⁷

Step-by-step explanation:

To convert to scientific notation you have to move the decimal place to where there is only one number in front of it. In this cause the number in front is 7. You have to maintain the same number of significant figures which in this case was 3 then multiply by 10 to the exponent of how many times you moved the decimal place.

Answer:

=76.3×10⁶

Step-by-step explanation:

=76,300,000÷1,000,000

=76.3×10⁶

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