Complete the equation of a line through (-3,3) with a slope of 1/3
y=1/3x+

Answers

Answer 1

[tex]\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{3})~\hspace{10em} slope = m\implies \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-3=\cfrac{1}{3}[x-(-3)] \implies y-3=\cfrac{1}{3}(x+3) \\\\\\ y-3=\cfrac{1}{3}x+1\implies y=\cfrac{1}{3}x+4[/tex]


Related Questions

If the ratio of a circle’s sector to its total area is 1/3, what is the measure of its sector’s arc?

Answers

1/3 = 33%

33% * 390 = 118.8

Your answer 118.8 degrees

Answer: 120 degrees

Step-by-step explanation:

Just did it.

How do you write 900.5 and expanded form and word form?

Answers

(9 x 100) + (5 x 0.1)

OR

900 + .5

Nine hundred and five tenths

Hope this helped!

Hello!

-EXPANDED FORM- To make the number 900.5 in expanded form, We use 900 and then add 0.5 which is also 1/2.

-WORD FORM- To make the number 900.5 in word form, the answer would be nine hundred and five tenths

If the endpoints of have the coordinates A(9, 8) and B(-1, -2), what is the midpoint of ?

A.
(5, 3)

B.
(4, 5)

C.
(5, 5)

D.
(4, 3)

Answers

Your answer is D. (4,3)

ANSWER

D(4,3)

EXPLANATION

The endpoints of AB have the coordinates A(9, 8) and B(-1, -2).

To calculate the coordinates of the midpoint of AB, we use the midpoint formula,

[tex]( \frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]

We substitute the coordinates of the endpoints into the formula to get,

[tex]( \frac{9+ - 1}{2},\frac{8+ - 2}{2} )[/tex]

[tex]( \frac{8}{2},\frac{6}{2} )[/tex]

We simplify further to obtain,

[tex]( 4,3)[/tex]

Finish this simile. Use your imagination to complete the description.

Writing similes is like . . .

Answers

Flying a plane through your own imagination. This implies how dominoes make you think and create, using your mind to make comparisons. The other option is like banging my head against the wall. It’s pointless and painful.

Answer:

writing answers to math questions

Step-by-step explanation:

writing a sentance

writing an add

writing a book

Find the range. 4.7 6.3 5.4 3.2 4.9 3.1 –3.1 9.5 –9.5

Answers

Answer:

The range is 19

Step-by-step explanation:

First, you have to order the numbers from least to greatest:

-9.5, -3.1, 3.1, 3.2, 4.7, 4.9, 5.4, 6.3, 9.5

Then, you have to find the difference between the largest number and and smallest number. You do this by subtracting them:

9.5 - (-9.5)= 19

So, the range is 19

Name the constansin the expression
7x + 9y + 3.

Answers

Your constant is 3 because it’s alone

Answer:3

Step-by-step explanation:

Please Help Quickly!!!

If lim x--> 4 f(x) = 5

Answers

Answer:

D

Step-by-step explanation:

Value of the function [tex]\lim_{x \to 4} \dfrac {g}{h}(x)[/tex] is zero.

Correct option is b.

What is limit?

Limits are defined as values ​​to which the function approximates the output for given input values. The limit is the unique real numbers. Given a real-valued function "f" and a real number "c", the limit is usually defined as [tex]\lim_{x \to c} f(x) = L[/tex]. We read that "the limit of f of x is equal to L as x approaches c". "lim" represents the limit, and the right arrow indicates that the function f(x) approaches the limit L as x approaches c.

Given functions,

[tex]\lim_{x \to 4} f(x) = 5 , \lim_{x \to 4} g(x) = 0, \lim_{x \to 4} h(x) = -2[/tex]

[tex]=\lim_{x \to 4} \dfrac {g}{h}(x)[/tex]

[tex]=\lim_{x \to 4} \dfrac {g(x)}{h(x)}[/tex]

[tex]=\dfrac{\lim_{x \to 4} g(x)} {\lim_{x \to 4} h(x)}[/tex]

= 0/-2

= 0

Hence, 0 is the value of function [tex]\lim_{x \to 4} \dfrac {g}{h}(x)[/tex] .

Learn more about limit here:

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F(x)=x^2+3x+2 is shifted 2 units right the reuslt is g(x) what is g(x)

Answers

Answer:

[tex]g(x)=x^2-x[/tex]

Step-by-step explanation:

Given function is [tex]F\left(x\right)=x^2+3x+2[/tex].

Function [tex]F\left(x\right)=x^2+3x+2[/tex] is shifted 2 units right and gives result to a new function g(x).

Now we need to find about what is the equation of g(x).

We know that f(x-h) indicates right shift by "h" units.

So to get 2 units shift, replace x by (x-2) into given function

[tex]g(x)=F\left(x-2\right)[/tex]

[tex]g(x)=(x-2)^2+3(x-2)+2[/tex]

[tex]g(x)=x^2-4x+4+3x-6+2[/tex]

[tex]g(x)=x^2-x[/tex]

Hence final answer is [tex]g(x)=x^2-x[/tex].

A bag contains 10 marbles. Four of the marbles are purple. What is the probability you will choose a purple marble from the bag

1/2
3/10
2/5
1/5

Answers

Answer:

2/5

Step-by-step explanation:

There are 10 marbles and 4 of them are purple. That would give you the fraction 4/10. 4/10 can be simplified to 2/5. So, you have a 2/5ths chance of choosing a purple marble.

The probability of selecting a purple marble from a bag containing 10 marbles, 4 of which are purple, is 2/5.

The question asks: "A bag contains 10 marbles. Four of the marbles are purple. What is the probability you will choose a purple marble from the bag?" To find the probability, you divide the number of favorable outcomes (choosing a purple marble) by the total number of outcomes (all the marbles in the bag). Here, there are 4 purple marbles and 10 marbles in total.

The probability is therefore 4/10, which can be simplified to 2/5. So, the probability of choosing a purple marble from the bag is 2/5.

A tank with a volume of 61.25 cubic meters is filled with pull. The oil has a density of 865 kilograms per cubic meter that is the mass in kilometers of the oil?

Answers

Answer:

Step-by-step explanation:

Density is mass divided by volume:

ρ = M / V

So mass is density times volume:

M = ρV

If the density is 865 kg/m³ and the volume is 61.25 m³:

M = (865 kg/m³) (61.25 m³)

M = 52981.25 kg

Final answer:

To find the mass of oil in a tank, multiply the tank's volume (61.25 cubic meters) by the oil's density (865 kg/m³), resulting in 52,981.25 kilograms. The mass is not measured in kilometers, which suggests a typo in the original question.

Explanation:

The question concerns the calculation of the mass of oil if its density and the volume of the tank it fills are known. To find the mass, you would multiply the volume of the oil by its density:

Step-by-Step Calculation:

Determine the volume of the oil. In this case, the volume is already given as 61.25 cubic meters.

Identify the density of the oil. According to the question, it is 865 kilograms per cubic meter.

Multiply the volume by the density to get the mass. That is:

61.25 m³ × 865 kg/m³ = 52,981.25 kilograms.

In terms of mass in kilometers, there appears to be a typo, as mass is not measured in distances like kilometers. The correct unit should likely be kilograms.

Sofia bought a motorcycle with a sticker price of $5300. If she paid $310 a
month for 24 months, how much interest did she pay?

A. $7440
B. $3720
c. $2140
D. $5300

Answers

Answer:

2140

Step-by-step explanation:

Sofia paid a total of $7,440 over 24 months for a motorcycle with a sticker price of $5,300. The interest she paid can be found by subtracting the sticker price from the total amount paid, which comes to $2,140. Hence correct option C.

Sofia bought a motorcycle with a sticker price of $5300. If she paid $310 a month for 24 months, first we need to find out the total amount she paid over the 24 months. To do this, we multiply the monthly payment amount by the number of months:

$310 × 24 = $7,440

Now, to find the amount of interest paid, we subtract the original sticker price from the total amount paid:

$7,440 - $5,300 = $2,140

Therefore, Sofia paid $2,140 in interest.

Divide.
(x2 +11x+24) =(x+4)
Your answer should give the quotient and the remainder.
Quotient:
Remainder:

Answers

For this case we must find the quotient of [tex]x ^ 2 + 11x + 24[/tex] between [tex]x + 4[/tex]

As you can see in the figure, we must build a quotient in such a way that when multiplied by the divisor, we eliminate the terms of the dividend until we reach the remainder.

Answer:

Quotient: x + 7

Remainder: -4

See attached image

Please help will give brainliest

Answers

Answer:

No, two ordered pairs in this list have a repeated of the domain element.

Step-by-step explanation:

We know that the definition of functions tells us that a function [tex]f[/tex] from a set [tex]A[/tex] to a set [tex]B[/tex] is a relation that assigns to each element [tex]x[/tex] in the set [tex]A[/tex] exactly one element [tex]y[/tex] in the set [tex]B[/tex]. The set [tex]A[/tex] is the domain (also called the set of inputs) of the function and the set [tex]B[/tex] contains the range (also called the set of outputs).

So here is important to know the term exactly one element, Why? because if you don't have this, you don't have a function. From the figure, two ordered pairs in this list have a repeated of the domain element. This can be proven by plotting these three points as indicated below. As you can see, the element 4 in the domain matches both 2 and -2 in the range. In conclusion, this relation is not a function.

Which is the graph of y = cos(x) + 3? HURRYY!!

Answers

Answer:

See attachment

Step-by-step explanation:

The given function is [tex]y=\cos x +3[/tex]

The base function is [tex]y=\cos x[/tex]

The single transformation applied to this function is a vertical upward shift by 3 units.

Therefore the graph of  [tex]y=\cos x +3[/tex] is graph of  [tex]y=\cos x [/tex] shifted up 3 units.

See attachment

Answer: B

Step-by-step explanation:

Just did the test on edge

A car travels 102 miles on 3gallons of gas. How far can it travel on 11 Gallons of gas

Answers

Answer:

374 miles

Step-by-step explanation:

To see how many miles each gallon gets, divide 102/3 which is 34 meaning there are 34 miles per gallon so if you multiply 34 x 11 gallons it equals 374 miles.

Hope this helps!

To solve this problem, we will use the concept of a unit rate, which in this scenario is the car's miles per gallon (mpg). A unit rate compares a quantity to one unit of another quantity. Here's how to do it step by step:
1. **Find the unit rate (mpg).**
  The car travels 102 miles on 3 gallons of gas. To find out how many miles it travels per gallon, we'd divide the total number of miles by the number of gallons of gas used:
  \[ \text{mpg} = \frac{\text{miles traveled}}{\text{gallons used}} \]
  \[ \text{mpg} = \frac{102 \text{ miles}}{3 \text{ gallons}} \]
  \[ \text{mpg} = 34 \text{ miles per gallon} \]
  So the car travels 34 miles per gallon of gas.
2. **Calculate the distance the car can travel on 11 gallons of gas.**
  Now that we know the car travels 34 miles on one gallon of gas, we can find out how far it travels on 11 gallons by multiplying the mpg by the number of gallons:
  \[ \text{distance} = \text{mpg} \times \text{gallons available} \]
  \[ \text{distance} = 34 \text{ miles/gallon} \times 11 \text{ gallons} \]
  \[ \text{distance} = 374 \text{ miles} \]
So, the car can travel 374 miles on 11 gallons of gas.

Daniel is choosing between two cellphone plans. "Plan A" charges $80 per month, which includes unlimited text messaging. "Plan B" costs $20 per month plus $0.15 per text message.
What is the system of equation that represents the fees of both "Plan A" and "Plan B"? Identify what your variables represent.

Answers

Answer:

Plan A:

C = $80

C = cost

Plan B:

C = 0.15t + 20

C = cost; t = amount of text messages

Step-by-step explanation:

Let C = cost.

Let t = amount of text messages.

Plan A:

C = $80

Plan B:

C = 0.15t + 20

If the next question asks for you to solve when Plan B will be equal to Plan A, set the two equations equal to each other.

80 = 0.15t + 20

Isolate the variable, t. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 20 from both sides.

80 (-20) = 0.15t + 20 (-20)

80 - 20 = 0.15t

60 = 0.15t

Divide 0.15 from both sides.

(60)/0.15 = (0.15t)/0.15

60/0.15 = t

t = 400

Those who use Plan B must send at least 400 text message to have the same price as Plan A.

~

please help i am timed

Answers

Answer:

Step-by-step explanation:

2x-10 is your answer

Answer:

D. 2x+5

Step-by-step explanation

All you have to do is put them all together and there you have it your answer of D 2x+5

If f(x)=3x-1+4 and g(x)=4x-7 what is (f-g)(x)

Answers

Answer: [tex](f-g)(x)=-x+10[/tex]

Step-by-step explanation:

Given the function f(x):

[tex]f(x)=3x-1+4[/tex]

And given the function g(x):

[tex]g(x)=4x-7[/tex]

You must subtract both functions is order to find [tex](f-g)(x)[/tex].

You need to remember the multiplication of signs:

[tex](+)(+)=+\\(-)(-)=+\\(+)(-)=-[/tex]

Then:

[tex](f-g)(x)=3x-1+4-(4x-7)[/tex]

Now, you must distribute the negative sign:

[tex](f-g)(x)=3x-1+4-4x+7[/tex]

And finally, add the like terms. Then you get that  [tex](f-g)(x)[/tex] is:

[tex](f-g)(x)=-x+10[/tex]



x y
0 3
1 1
2 -1
Which set of values in the RANGE corresponds to the set {0,2} in the DOMAIN?

Answers

2, -1. I think, possibly.

Answer:

3, -1

Step-by-step explanation:

If AB = 11, BC = 16, and CA = 14, list the angles of ABC in order from smallest to largest.

Answers

Answer:

AB, CA, BC is my answer

It goes AB,CA,BC hopefully this helped

Which of the following figures does not have line symmetry?

Answers

Answer:

The parallelogram.

Step-by-step explanation:

Line symmetry means that if you folded the shape in half, then both halves would be equal. There is no way to fold a parallelogram in half and have both halves be equal.

B. does not have the line symmetry

What does it mean by exactly one line of symmetry?

The line of symmetry is the line that cuts the shape exactly in half. it means that if you were to fold the shape along a line, both halves will match exactly. Equally, if you were to place the mirror along the line, the shape will remain unchanged. the square has four lines of symmetry.

How many lines of symmetry does a line have?

A line of symmetry is a imaginary axis passing through the center of the object or divides into 2 equal halves. Since the diamond has all 4 sides equal, it has 2 lines of symmetry. the shape could have more than 1 line of symmetry.

Learn more about lines of symmetry here https://brainly.com/question/1597409

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How many choices are possible with 1 topping

Answers

The answer is 45, I believe so

Evaluate: −4 + 12 ÷(−3)/10 + 3(−2)

Answers

Answer:

Step-by-step explanation:

First we calculate (-3)÷10 = -0.3

Then 12÷(-0.3) = -40

After that -4 + (-40) = -44

3(-2) = -6

Finally -44 + (-6) = -50

For this case we have that the order of algebraic operations is determined by PEMDAS:

P: Perform any calculation inside the parentheses, making the most internal ones first.

E: Simplify any exponential expressions.

MD: Do all the multiplications and divisions, from left to right, as they appear.

AS: Do all the addition and subtraction, from left to right, as they appear.

Then, we have the following expression:

-4 + 12 ÷ (-3) ÷ 10 + 3 (-2) =

-4-4 ÷ 10 + 3 (-2) =

-4-0.4 + 3 (-2) =

-4-0.4-6 =

-4.4-6 =

-10.4

Answer:

-10.4

convert 0.5 to a percent value​

Answers

0.5 as a percent is 50%

0.5 to a percent value is 50%

Graph the linear equation. Find the three points that solve the equation then plot on the graph. -y=x+0

Answers

Answer:

Step-by-step explanation:

We can first make y the subject of the formula by multiplying both sides of the equation by -1 ;

y = -x + 0

This is the equation of a line with a slope of -1, the coefficient of x, and passing through the origin.

In order to find three points that solve the equation, we can let x be;

0, 1, 2

then determine the corresponding values of y.

When x = 0, y = -(0) + 0 = 0

When x = 1, y = -(1) + 0 = -1

When x = 2, y = -2 + 0 = -2

Therefore, we have the following three sets of points that can be used to graph the linear equation;

(0,0)

(1,-1)

(2,-2)

Find the attached for the graph of the equation;

Answer: (-1,1) (0,0) (2,-2)

Step-by-step explanation:

f(x)=x^2+x-30

complete the square

Answers

f(x)= x[tex]x^2+x-30[/tex

    = [tex](x)^2+2*x*\frac{1}{2} +(\frac{1}{2} )^2-(\frac{1}{2} )^2-30[/tex]

    = [tex](x+\frac{1}{2} )^2-\frac{1}{4} -30[/tex]

    = [tex](x+\frac{1}{2} )^2-\frac{121}{4}[/tex]

    =[tex](x+\frac{1}{2} )^2-30\frac{1}{4}[/tex] (Answer)

Which stamens is true about f(x)=-6|x+5|-2?
A.) The graph of f(x) is horizontally compressed.
B.) The graph of f(x) is horizontally stretched.
C.) The graph of f(x) opens upward.
D.) The graph of f(x) opens to the right.

Answers

ANSWER

A.) The graph of f(x) is horizontally compressed.

EXPLANATION

The given absolute value function is

[tex]f(x) = - 6 |x + 5| - 2[/tex]

The parent function is

[tex]y = |x| [/tex]

Since the factor -6 has an absolute value greater than 1, the graph of the given function will be narrower than the graph of the base function.

Hence the graph is horizontally stretched by a factor of 6.

The graph opens downwards because of the negative sign.

It has vertex at (-5,-2)

I need help solving this step by step please.

Answers

Answer:

Yes, i believe that the generalization about the measure of a point angle of a star polygon is true.

First we find sum of interior angle of an n-sided star polygon.

number of triangle in a polygon = n - 2

sum of interior angle of a triangle = 180°

sum of interior angle of an n-sided star polygon = ( n - 2 ) × 180°

To find measure of a point angle, we use:

[tex]\frac{|n-2(d)|}{n}[/tex] × 180°                                                            

To find a point angle we eliminate density by multiplying d by 2  in the formula for finding number of triangle, divide the whole by total number of sides and then multiply by the sum of interior angle of triangle(180°).  

Since all the angle of a regular star polygon are equal, we can calculate each pointy interior angle of a regular star polygon using the formula given below:

[tex]\frac{|n-2(d)|}{n}[/tex] × 180°    

A rectangular prism has a volume of 144 cubic inches. If the length is 2 times the width and the width is 4, find the height of the prism.

Show your work.

Answers

V = Bh

144 = (8 x 4)h

144 = 32h

4.5 = h

Final answer:

To calculate the height of the rectangular prism, we use the formula for volume and the given values to solve for height, resulting in a height of 4.5 inches.

Explanation:

To find the height of a rectangular prism with a given volume where the length is two times the width and the width is known, we use the formula for the volume of a rectangular prism: volume = length × width × height.

Given that the volume is 144 cubic inches, the width is 4 inches, and the length is two times the width, which is 2 × 4 inches = 8 inches, we can substitute these values into the formula:

144 in³ = 8 in × 4 in × height

Next, we need to isolate 'height' by dividing both sides of the equation by the length times the width of the prism:

144 in³ / (8 in × 4 in) = height

144 in³ / 32 in² = height

4.5 in = height

Therefore, the height of the rectangular prism is 4.5 inches.

Determine the slope of a line parallel to a line whose slope is -5

Answers

Answer:

-5

Step-by-step explanation:

A line that is parallel to another line must have the same slope.

Answer:

-5

Step-by-step explanation:

Parallel lines all have the same slope (as each other). Both of the parallel lines you are describing have a slope of -5.

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Mr. Smith is appointed as the principal of a school. In order to keep the building safe, he appoints 2 hall monitors for every hallway, and 4 supervisors for every 20 hall monitors.Mr. Smiths school has 30 hallways. How many supervisors does Mr. Smith need to appoint? A. 12 supervisors B. 32 supervisors C. 16 supervisors D. 24 supervisorsReset through: (-1, 0), parallel to y = 3x School Uniforms Should Be AdoptedAdopting rules about school uniforms is a good idea for several reasons. If all students wear the same clothes, they will look the same. Students will not pick on one another for the clothes they wear because everyone will be dressed alike. School uniforms also can help families save time in the morning. Some students waste a lot of time deciding what to wear to school each day. School uniforms would fix this problem. Students would not have to make a choice because they would be allowed to wear only one thing. Uniforms could also help students earn better grades. Some students are so concerned with what their friends are wearing that they do not pay attention to their teachers. Students would not have this problem if they were dressed the same way. Uniforms are good for students, families, and schools. Read this persuasive essay on the reasons students should wear uniforms.Which type of supporting evidence could be added to make this essay stronger?A)Interviews with students who wear uniforms.B)Quotations from managers of clothing stores.C)Statistics about the number of males and females at your school.D)Anecdotes from students on their schools' extracurricular activities. If a plant's flowers are very colorful and produce nectar, the plant is probably pollinated by ______________. self-pollination insects wind water Guysss i need help............. A car traveled 125 miles in 2.5 hours. If the car continues at the same rate, how far ahead it traveled after three hours? What is mHLG? Enter your answer in the box. What is the constant of vanation,of the line y = for through (3.18) and (5,30)? Solve for x. Round your answer to 2 decimal places. The table shows ordered pairs of the function y = 8 - 2x.When x = 8, the value of y is14106IT0L10-12 What is the total pressure of a mixture that contains 50% nitrogen at 1.7 atm, 23% oxygen at 1.1 atm, 12% argon at 0.7atm, 10% methane at 0.5 atm, and 5% water vapor at 0.2 atm? A. 0.13 atm B. 1.247 atm C. 0.85 atm D. 4.2 atm Brainliest and 100 points!!!I need this done ASAP!Some local Art students are planning a trip to Europe for an Art History tour. They will tour all the great Art museums of France and Italy. Because of your knowledge of the French language, you were asked to write to these students to explain the many great benefits that learning another language can have for people in their future career and how knowing the language can help them better understand what they are going to see in Europe.Write a short essay in English to these students, to let them know the advantages of knowing French in a career in Art & Art History. You can also tell them about what to expect from taking a French class and share experiences that have made you want to study French. Whenever I go onto Google Chrome, the words are in Spanish! How can I make the words be back in English again? Please let me know. What was a position of the new Nixon of 1968 a device is rated at 1,100 watts.what current is required if it is operated at 110 volts? what did abolitionists believe to be the first step to ending slavery? Select the correct answer.What is wrong with this thesis statement: A Raisin in the Sun is the best play of all time.OA. It is combative.It does not hook the reader.B.O C.It is cannot be proven.D.It is too narrow.ResetNext If $1000 is invested in an account earning 3% compounded monthly, how long will it take the account to grow in value to $1500? Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the y-axis. y = 8x x2 x = 0 y = 16 The siren on an ambulance is emitting a sound whose frequency is 2250 Hz. The speed of sound is 343 m/s. (a) If the ambulance is stationary and you (the "observer") are sitting in a parked car, what are the wavelength and the frequency of the sound you hear? (b) Suppose that the ambulance is moving toward you at a speed of 26.6 m/s. Determine the wavelength and the frequency of the sound you hear. (c) If the ambulance is moving toward you at a speed of 26.6 m/s and you are moving toward it at a speed of 11.0 m/s, find the wavelength and frequency of the sound you hear. Steam Workshop Downloader