determine the equation of the line that has a slope of 1/3 and goes through (7,6)

Answers

Answer 1

Answer: y=1/3x+11/3

Step-by-step explanation:

Since we given the slope, we can write a slope-intercept form equation.

y=1/3x+b

Since we we don't have our y-intercept, we can plug in the coordinate we are given to find the y-intercept.

6=1/3(7)+b

6=7/3+b

11/3=b

Now that we have our y-intercept, we can complete our equation.

y=1/3x+11/3


Related Questions

if $350 is shared in the ratio 2:5,the smaller share is​

Answers

Answer:

$100

Step-by-step explanation:

350/7=50

50x2=100

A triangular flag has a height of 16 inches and a base of 24 inches. Which formula represents how to find the area of the triangle?
2 points

A.

B.

C.

D.

Answers

Answer:

A= 1/2bh

Step-by-step explanation:

The answer is the Area= 1/2 * base * height

PLEASE HELP ASAP WILL MARK BRAINLIEST 6TH GRADE

Answers

Answer:

The answer is c

Step-by-step explanation:

Answer:

the answer is c

A square patio has a perimeter of (32x+8) feet. What is the length of the patio? Thanks!

Answers

Answer:

The side length is 8x+2 ft

Step-by-step explanation:

The perimeter of a square is found by

P =4s  where s is the side length

32x +8 = 4s

Divide each side by 4

32x/4 +8/4 = 4s/4

8x+2 = s

The side length is 8x+2 ft

apply the function transformation of g(x)=f(x-2)+4 to f(x)=x^3-8. describe the transformation and find the final form of the function after the transformation

Answers

Answer:

g(x) = (x - 2)^3 - 4

Step-by-step explanation:

first, the function f is shifted to the right by 2 units and then shifted up by 4 units

Use synthetic division to solve (x^3-x^2-17x-15) divided by (x-5). What is the quotient?

Answers

Answer:

The answer would be x^2+4x+3

Step-by-step explanation:

Answer:

A. x^2+4x+3!!!

just took it on edg!

1) The perimeter of a rectangular classroom floor is 90 feet. The length of the floor is twice the
width. Which equation would NOT help us solve for the length and width of the classroom? Show your
your
work on
scratch paper. *
x + 2y = 90
x = 2y
2(2y) + 2y = 90
2x + 2y = 90​

Answers

Answer: The equation would NOT help us solve for the length and width of the classroom is "[tex]x + 2y = 90[/tex]".

Step-by-step explanation:

Let y be the width of the rectangular classroom floor and x be the length of the rectangular classroom floor .

Given ,

The perimeter of a rectangular classroom floor is 90 feet.

The length of the floor is twice the  width.

i.e. Length =2 (width)

i.e. x= 2y ..(i)

Also, perimeter = 2(length+width)

[tex]i.e. 2(x+y)=90\\\\\Rightarrow\ 2x+2y=90[/tex]

When we put value of x from (i), we get

[tex]2(2y) + 2y = 90[/tex]

Hence, the equation would NOT help us solve for the length and width of the classroom is "[tex]x + 2y = 90[/tex]".

There is a bag filled with 4 blue and 5 red marbles. A marble is taken at random fròm the bag,the colour is noted and then is replaced. Another marble is taken at random. What is the probability of getting 2 blues

Answers

Hi there!

Answer:

1/6

Explanation:

The first probability of getting blue is 4 out of the total marbles so 4/9.

The second time there are only 3 blue marbles out of 8 now so 3/8.

So the answer is 4/9X3/8

which equals 12/72 or 1/6

Hope this helps!

Select the correct answer.
Haley conducted a study which found that a cup of coffee contains 150 milligrams of caffeine. The amount of caffeine in the body each
hour after consumption of one cup is 9% less than the previous hour.
If Haley conducted her study for a total of 10 hours, which inequality represents the range of the exponential function that models this
situation?
150 s f(x) s 355.1
58.41 s f(x) < 150
O s f(x) s 10
0 <f(x) s 150
Submit
Reset​

Answers

Answer:

The correct option is (B)[tex]58.41<f(x)<150[/tex].

Step-by-step explanation:

The exponential decay function is as follows:

[tex]y=a(1-r)^{t}[/tex]

Here,

y = final value

a = initial value

r = decay rate

t = time taken

It is provided that:

a = 150 mg

r = 9% = 0.09

Then the next hour the amount of caffeine in the body will be:

[tex]y=a(1-r)^{t}\\=150\times (1-0.09)^{1}\\=136.5\ \text{mg}[/tex]

Then after two hours the amount of caffeine in the body will be:

[tex]y=a(1-r)^{t}\\=150\times (1-0.09)^{2}\\=124.215\ \text{mg}[/tex]

Similarly after 10 hours the amount of caffeine in the body will be:

[tex]y=a(1-r)^{t}\\=150\times (1-0.09)^{10}\\=58.4124\ \text{mg}\\\approx 58.41\ \text{mg}[/tex]

Then the inequality representing the range of the exponential function that models this  situation is:

[tex]58.41<f(x)<150[/tex]

Thus, the correct option is (B).

The best answer's you can get are the already answered one's (posted cause a guy in the comment said it was wrong when it was actually correct)

Does anyone know how to do this type of shape/figure

Answers

Answer: I think it is b

Step-by-step explanation:

I need help guys with this including steps ..

Answers

Answer:

1. When adding you just add the numbers from the same space so

3  7

10 45

2. Same as adding but the opposite

2  1  2

3  1  6

1  2  1

 

Step-by-step explanation:

help!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

2. 90+240= 330 m cubed

3. (24*2)+96= 144 cm cubed

Please answer CORRECTLY !!!!!!!!!! Will mark BRIANLIEST !!!!!!!!!!

Answers

Answer:

x^2+8

Step-by-step explanation:

x+1*x+7

To eliminate the terms and solve for y in the tewest steps, by which constants should the equations be multiplied by before
adding the equations together?

Answers

Answer:

the equation is not shown...

Step-by-step explanation:

but to solve for y you should use the first equation that is use the coefficient of x in the first equation to multiply all the terms in the second equation.

And use the coeffient of x in the second equation to multiply the the terms in the first equation.

It would have been better if the equation was shown for better explanation.

i need help i’ll mark u as brainlist if u can help me imma not good at mAtH

- thanks ✌︎('ω')✌︎

Answers

Answer:

x = 44-y

Step-by-step explanation:

She has 44 glasses.  The number of glasses of lemonade, y, and the number of glasses of ice tea, x,  totals 44

x+y = 44

We want the number of glasses of ice tea

x = 44-y

x=44-y I’m pretty sure

Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!!!

Answers

The answer is d

Domain is just all x values

Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!

Answers

Answer:

side of square is 2-x

Step-by-step explanation:

Area of the square is side * side  or side ², so the expression for the side has to be square root of area

A = 4 -4x + x²

It should be recognized that 4 -4x + x²is a special product ( 2-x)² because this is a perfect square trinomial

side of square is 2-x

Dan rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 3.

Answers

Answer: 2

Step-by-step explanation:

1+2, 2+1

Therefore, the probability of getting a total of three is 2

Probability of getting total of three when two fair dice rolled is equals to [tex]\frac{1}{18}[/tex] .

What is probability?

" Probability is defined as the ratio of number of favourable outcomes to the total number of outcomes."

Formula used

Probability [tex]= \frac{Number of favourable outcomes}{Total number of outcomes}[/tex]

According to the question,

Dan rolls two fair dice,

Possible outcomes are [tex]= \{ (1,1), (1,2), (1,3) , (1,4). .........., ( 6,5), (6,6)\}[/tex]

Total number of outcomes [tex]= 36[/tex]

Condition given,

Favourable outcomes for total of [tex]3[/tex] [tex]= \{(1,2) , (2,1)\}[/tex]

Substitute the value in the formula of probability we get,

Probability of getting [tex]3[/tex]

[tex]= \frac{2}{36}\\\\= \frac{1}{18}[/tex]

Hence, probability of getting total of three when two fair dice rolled is equals to [tex]\frac{1}{18}[/tex] .

Learn more about probability here

brainly.com/question/11234923

#SPJ2

A rectangle has a perimeter of 58 inches. The length is five more than twice the width. Write and solve an equation to determine the width of the rectangle

Answers

Answer:

The width is 8 inches.

Step-by-step explanation:

Let the width be x. Per the question, the length should be 2x + 5. Set up a perimeter equation and solve for x.

I have attached the work to your problem.

Please see the attachment below.

I hope this helps!

I need help can anyone help me please

Answers

Answer:

56

Step-by-step explanation:

so a straight line has an angle that is 180 degrees

the angle on both sides of X are 64 and 60

so add those up u get 124

get the whole angle of 180 and subtract 124 and u get 56

find the coordinate of F' after a reflection of the triangle about the line y = -x. Write your answer in the form of (a,b).
F is (3,5)​

Answers

Answer & Step-by-step explanation:

When you are doing the reflection, y = -x, then the coordinates will go as follow...

(x, y) → (-y, -x)

So, (3, 5) will become (-5, -3).

So, the coordinate of F' would be (-5, -3)

Solve the equation -10x + 1 + 7 = 37

Answers

Answer:

-2.9

Step-by-step explanation:

-10x + 1 + 7 = 37

Combine like factors.

-10x + 8 = 37

Subtract 8 from both sides.

-10x = 29

Divide both sides by -10.

x = -2.9

Answer:

x = -29/10 = -2 9/10

Step-by-step explanation:

-10x + 1 + 7 = 37

Combine like terms

-10x +8 = 37

Subtract 8 from each side

-10x + 8-8 = 37-8

-10x = 29

Divide each side by -10

-10x/-10 = 29/-10

x = -29/10

x = -2 9/10

Five out of six residents of Mayville have library cards. Which tool will best allow Darren to simulate this scenario and predict whether a randomly chosen resident has a library card?

Answers

Answer:

A number cube

Step-by-step explanation:

A coin a 5-sector spinner a number cube a bag of 11 marbles

A number cube is the best to simulate this scenario and predict whether a randomly chosen resident has a library card.

As Coin has only 2 outcomes "Head" and "Tail".

A 5-sector sector spinner has only 5 outcomes we need six outcomes.

A bag of 11 marbles has no differentiated with respect to colors etc.

Hence, A number cube is correct to chosen five out of six residents of Mayville have library cards.

Answer:

c

Step-by-step explanation:

Can you help plss and thank you

Answers

Answer:

Step-by-step explanation:

The area formula for a parallelogram is the same as the area formula for a rectangle or square. A = bh.

Our base is 5 1/4 and the height, which drops perpendicular to the base, is 4 1/5.  So the formula for the area is

[tex]A=(4\frac{1}{5})(5\frac{1}{4})[/tex]

Choice D

Find the missing side of a right triangle with leg length 5 yards and hypotenuse 13 yards.

Answers

[tex]answer =12 \: yards \\ solution \\ hypotenuse(h) = 13 \: yards \\ perpendicular(p) = 5 \: yards \\ base(b) = ?\\ using \: pythagorus \: theorem \\ {h}^{2} = {p}^{2} + {b}^{2} \\ {b}^{2} = {h}^{2} - {p}^{2} \\ {b}^{2} = {13}^{2} - {5}^{2} \\ {b}^{2} = 169 - 25 \\ {b}^{2} = 144 \\ b = \sqrt{144 } \\ b = \sqrt{ {12}^{2} } \\ b = 12 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:

Step-by-step explanation:

Use Pythagorean theorem

let the missing side be x

5² +x² = 13²

25 + x² = 169

x² = 169 - 25

x² = 144

x =√144

x = 12 yards

Which survey is biased?
A) Going to the mall and asking people what their favorite color is.
B) Going to the mall and asking people what their favorite place to shop is.
C) Going to the mall and asking people what television channel they watch most.
D) Going to the mall and asking people what radio station they listen to most often

Answers

Answer:

b

Step-by-step explanation:

alotta ppl go to the mall cuz they like to shop there, so if u ask ppl at the mall their fav place to shop, many will say "the mall"

Answer:

favorite place to shop i believe

Step-by-step explanation:

I'm sure it become a biased situation when you ask an answer similar to the surroundings.

In science class, Liz learned that trees help make the oxygen that people breathe. One tree makes about 250 pounds of oxygen each year. Liz wonders how much oxygen the trees on her street make. When she gets home, she counts 32 trees on her street. How many tons of oxygen do they make in a year? tons

Answers

Answer: The answer is 8000 pounds, or 4 tons

Step-by-step explanation:

This is true because each tree makes about 250 pounds of oxygen. She counted 32 so.....

(32)(250)=8000

then convert 8000 pounds to tons and you get 4 tons

round 128.599 to 3 decimal places

Answers

Answer:

PLEASE APPRECIATE IT

Step-by-step explanation:

129

Please answer correctly !!!!Will mark brainliest !!!!!!!!!!!!!!

Answers

Answer:

No solutions

Step-by-step explanation:

x + 2y and 2x + 4y are linear combinations of each other since 2 ( x + 2y ) = 2x + 4y.

However, since 2 ( x + 2y = 2 ) results in 2x + 4y = 4 and the second equation reads as 2x + 4y = -8, there is no solution to this system of equations since 4 does not equal -8.

Answer:

option B

Step-by-step explanation:

x+2y=2 ⇒x= 2- 2y2x+4y=-8 ⇒ 2(2-2y) +4y= -8 ⇒ 4-4y+4y= -8 ⇒ 4= -8 this is impossibleso no solutions

Answer: option B

What is a scale factor?

Answers

Answer:

A scale factor is a number which scales, or multiplies, some quantity. In the equation y = Cx, C is the scale factor for x.

:)

Step-by-step explanation:

Answer:ascale factor is used in instructing some one on what is to be done in adrawn diagram in a graph e.g

Enlargement

Step-by-step explanation:I hope it gelps

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