The equation y-2=3(x+1) is written in point-slope form. What is the equation in slope-intercept form?

Answers

Answer 1

Our first step would be to distribute this 3 through the

parentheses to get 3x + 3 on the right side of the equation.

On the left bring down your y - 2 to get y - 2 = 3x + 3.

Next we would move the -2 to the right side of the

equation by adding 2 to both sides to get y = 3x + 5.

Now, this equation is written in slope-intercept form because

the y is by itself on the left side of the equation.


Related Questions

a, b, c and d are positive integers, such that a+b+ ab = 76, c+d+ cd = 54. Find (a+b+c+d)·a·b·c·d.

Answers

Notice that

(1 + x)(1 + y) = 1 + x + y + x y

So we can add 1 to both sides of both equations, and we use the property above to get

a + b + a b = 76  ==>  (1 + a)(1 + b) = 77

and

c + d + c d = 54  ==>  (1 + c)(1 + d) = 55

Now, 77 = 7*11 and 55 = 5*11, so we get

a + 1 = 7  ==>  a = 6

b + 1 = 11  ==>  b = 10

(or the other way around, since the given relations are symmetric)

and

c + 1 = 5  ==>  c = 4

d + 1 = 11  ==>  d = 10

Now substitute these values into the desired quantity:

(a + b + c + d) a b c d = 72,000

At the city museum, child admission is $5.20 and adult admission is $9.10 . On Wednesday, twice as many adult tickets as child tickets were sold, for a total sales of $631.80. How many child tickets were sold that day?

Answers

Answer:

54 adult tickets and 27 child ticket

54×9.10+5.20×27=631.80

419.4+104.4=631.80

631.80=631.80 ( so it's the answer)


What is the probability that a card drawn randomly from a standard deck of 52 cards is a red eight Express your answer as a fraction in
lowest terms or a decimal rounded to the nearest millionth

Answers

Answer:

=1/26

Step-by-step explanation:

In a 52 card deck there are 2 red 8's ( hearts and diamonds)

P(red 8) = number of red 8's / total

             =2/52

             =1/26

Help please
What are the coordinates of the hole in the graph of the function?

f(x)=x2−3x−10/x−5
Enter your answer in the boxes.

Answers

Answer:

  (5, 7)

Step-by-step explanation:

A hole is found in the graph of a rational function where numerator and denominator factors cancel each other.

The x-coordinate of the hole is the value of x that makes the factor zero. The y-coordinate of the hole is the value of the simplified function after the cancelled factors are removed. It is the limit of the function value as x approaches the hole location.

__

  [tex]f(x)=\dfrac{x^2-3x-10}{x-5}=\dfrac{(x+2)(x-5)}{x-5}=x+2\qquad x\ne 5[/tex]

The hole is found at x = 5. The limit of the function value as x approaches 5 is 5+2 = 7. The coordinates of the hole are (5, 7).

i need help pls i would really appreciate it !!

Answers

Answer : a
Sin is opposite/hypotenuse which is 8/10
And this is 4/5
‘A’ will be the answer to your question

If quadrilateral WXYZ is reflected over the y-axis, what will be the coordinates of point X ′ in the image?

Answers

Answer:

(-1,6)

Step-by-step explanation:

When you reflect over the y-axis, the x value becomes the opposite sign

Answer:

-1 6

Step-by-step explanation:

i copied the first answer

I need more assistance :D Instructions: Using the image, find the distance between the points given on the graph.

Answers

Answer:

I usually explain even in the answer.

So we use som[tex]\sqrt{x}[/tex]ething called distance formula which is branched of Pythagorean theorem.

But we dont need to as it just makes it more complicated. We need to find split into 2 vectors, one vertical, and horizontal. The horizontal is 5 long.

The vertical is 1, you can find them by calculating how long is it and how tall.

Use pythogorean theorem from the formula and do 5^2+1^2 = c^2

25+1 = 26, so the answer is √26

I am pretty sure answer is right. Always take abolute value

√26

step 1

a) Suppose you are able to download 1 free song to your tablet daily and each additional download costs $0.59. If your monthly bill is $15.34, how many songs did you download if you downloaded 28 free songs? Write an equation and solve for the unknown variable.
b) Your uncle Jim lives in England, where the current exchange rate is 1.64 US dollars for each British pound. Solve for the amount of your monthly bill, to the nearest hundredth, if you lived in England.
c) If you had an additional 1.65 pounds to download songs, how many more songs could you have downloaded? Write and solve an equation to solve the problem. Describe the step-by-step process you used to solve the problem.

Answers

Answer:

a. 54

b. 9.35

Step-by-step explanation:

a. First, divide 15.34 by 0.59 to find the number of songs you had to pay for.

15.34/0.59 = 26

then add it to the number of free songs you downloaded

26 + 28 = 54

b. divide 15.34 by 1.64

15.34/1.64 = 9.35

for c I would just multiply 1.65 by the usd exchange rate (1.64) which is 2.10 so you could afford 3 more songs but I don't know what equation exactly you would use or if what I did works.

What is the result when 4x^3+5x^2+13x+34x 3 +5x 2 +13x+3 is divided by 4x+14x+1?

Answers

Answer:

38^3+10^2+26x+3 over 18x+1

Step-by-step explanation:

Start by adding x's that are alike together.

4x^3+34x^3= 38^3

then do the same to the other x's

5x^2+5x^2= 10^2

Last x's

13x+13x=26x

For the final equation, you should have

38^3+10^2+26x+3

For the bottom equation, you do the same thing.

4x+14x= 18x

Final equation, really easy, is 18x+1

For the final answer you should have

38^3+10^2+26x+3 over 18x+1

Lmk if it helps!! :)

Anyone mind helping out with my math?

Answers

Answer:

no

Step-by-step explanation:

all the numbers are multiples of each two.

For example,

2×2=4,

4×2=8,

8×2=16

So, the line would be linear.

// have a great day //

Using the given zero, find one other zero of f(x). Explain the process you used to find your solution.

1 - 6i is a zero of f(x) = x4 - 2x3 + 38x2 - 2x + 37.

Answers

Answer:

[tex]1+6i[/tex]

Step-by-step explanation:

The expression [tex]1-6i[/tex] represents a complex number. Particularly, complex solutions can't happen in odd number, for example, the minimum complex solutions an expression can have is 2.

Additionally, complex solutions are related by conjugates, which means the second solution to this polynomial is [tex]1+6i[/tex], because is the conjugate of the given complex root.

Suppose you have a bag of colored elastic bands and you choose one without looking. The probability the elastic band you choose is blue is ​P(blue​)=0.34. Write this probability as a percent and a fraction.

Answers

Answer:

0.34 can be written as 34% or 34/100.

Determine the value of y.

A. 90

B. 60

C. 180

D. 45

(i need this rq)

Answers

Answer:

D. 45°

Step-by-step explanation:

Since the lines are parallel, 2y°=90° If you divide both sides by 2, y°=45°

Write the equation of the line that passes through (3, 4) and (2, −1) in slope-intercept form.

Answers

Answer:

5

Step-by-step explanation:

Slope equation is (y2-y1)/(x2-x1)

(-1-4)/(2-3)

-5/-1

5

Write the Equation for the line that goes through the points (30,75) and (60,50).

Answers

Answer:y=[tex]y=-\frac{5}{6} x+100[/tex]

Step-by-step explanation:

my answer was wrong and cannot be deleted :)

Please help! Correct answer only please! I need to finish this assignment by today.

One morning, boats from all along the Atlantic coast docked at a busy marina.


What is the experimental probability that the next boat to dock will be from Rhode Island?

Simplify your answer and write it as a fraction or whole number.

P(Rhode Island) =

Answers

Answer:

1/4

Step-by-step explanation:

there are 24 boats in total. out of those 24 boats, six are from rhode island. so 6/24 boats are from rhode island. simplified it will be 1/4 :)

Subtract -5/8 -(-1/4)
plzz answer now!

Answers

Answer: -5/18 - (-1/4) = -1/36

Step by step:

To subtract,  find the LCD and then combine

So this is your answer,

-1/36

Onesimus bought a phone for $ 75 and signed up for a single-line phone plan with 2000 monthly anytime minutes. The cost of the plan was $ 124.36 per month. Calculate the cost for 21 months assuming that the number of minutes does not exceed 2000 per month

Answers

Answer:

cost for 21 months without considering cost of phone is  $2,611.56

Total cost inclusive of cost of phone = $2,686.56

Step-by-step explanation:

cost of 2000 monthly anytime minutes plan = $ 124.36

So , in 1 month cost for given plan = $ 124.36

we have to find cost for 21 month

In 21 month, cost for given plan = 21 * cost of 1 month plan

In 21 month, cost for given plan = 21 * $ 124.36 = $2,611.56

cost for 21 months is  $2,611.56.

Note, this cost is without considering the cost of phone as it is not mentioned cost of phone is to be included or not.

In case cost of phone is included then

Total cost inclusive of cost of phone =  $2,611.56 + $75 = $2,686.56

PLZZZ HEEELLP MEEE ASAP

Answers

Answer:

2x=125-10. Answer is 57.5

Step-by-step explanation:

It was asking for the length of the missing sides, and both of them are the same so its 2x= something. the other 2 sides are the same length (5) so that's where the 10 comes from. The 125 is the total perimeter. So, first you subtract 10 from 125 and you get 115. And then you divide 2 on both sides and you get x=57.5

I hope this helped :)

If this answer helped the most, give it the brainliest.

What is the midpoint of the segment shown below?

Answers

Answer:

C

Step-by-step explanation:

The length of the segment is 7

2-7/2 = -3/2

(1,-3/2)

I really need help please :(

Answers

Answer:

0≤y≤5

Step-by-step explanation:

The range is the values of the output, or in this case the y values

The y values go from 0 to 5

0≤y≤5

The answer is C.

You can see visually that the function's domain lies within range from -5 to 5 on the x axis.

Which is a stretch of an exponential decay function?

f(x) = Four-fifths (five-fourths) Superscript x
f(x) = Four-fifths (four-fifths) Superscript x
f(x) = Five-fourths (four-fifths) Superscript x
f(x) = Five-fourths (five-fourths) Superscript x

Answers

Answer:

C

Step-by-step explanation:

The function [tex]f(x) = \frac{5}{4} (\frac{4}{5}) ^{x}[/tex] represents the stretch of an exponential decay function.

What is exponential decay function?

The process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula [tex]y = a(1-b)^{x}[/tex]

where,

y is the final amount,

a is the original amount,

(1 -b) is the decay factor,

and x is the amount of time that has passed.

For a  exponential decay function (1-b) is always less than 1. If (1-b) < 1 it represents the exponential growth function.

And if a < 1, then it represents vertical compression and if a > 1, then it represents vertical stretch.

According to given question.

We have some functions in which we have to find the which one represents the decay function.

According to the function

[tex]f(x) = \frac{4}{5}(\frac{5}{4} )^{x} }[/tex]

For the decay function, the decay factor will always less than 1. In the above function the decay factor [tex]\frac{5}{4}[/tex] i.e. 1.25 is greater than 1.

Therefore, the above function doesn't represent decay function.

[tex]f(x) = \frac{4}{5}( \frac{4}{5} )^{x}[/tex]

Here, a < 1 i.e.  [tex]\frac{4}{5}[/tex] is less than 1 so the given function is not a stretch of an exponential decay function.

[tex]f(x) = \frac{5}{4} (\frac{4}{5}) ^{x}[/tex]

Here, b < 1 so it represents the exponential decay function. Also a > 1.

Therefore, the given function is the stretch of an exponential decay function.

[tex]f(x) = \frac{5}{4} (\frac{5}{4}) ^{x}[/tex]

Here, a > 1 but b > 1. Therefore, the above function doesn't represent the exponential decay function. It represents the exponential growth function.

Find out more information about exponential decay function here:

https://brainly.com/question/14355665

#SPJ3

I’ll mark you brainliest!!!!! Which point is a solution to the inequality represented by this graph?

Answers

Answer:

A is a solution because it is in the shaded area.

Step-by-step explanation:

Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books. Let x represent the number of fiction books and y represent the number of nonfiction books. Which system of linear equations represents the situation?
x + y = 26 and x + y = 12
x + y = 26 and x – y = 12
x + y = 26 and –x + y = 12
x – y = 26 and x + y = 12

Answers

Answer:

x + y = 26  and x – y = 12

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

just did it

Jenna wants to wrap a shipping box shaped like a rectangular prism. The box is 30 inches tall and has a square base with sides that each measure 3 inches. How much paper will she​ use?

Answers

The total amount of wrapping papaws will be equal to the SA

*formula substituted*

(30 x 3 x 2) + ( 3 x 3 x 2)

If you go through these steps with Bedmas or pemdas you should get 198

Therefore she will need 198 square inch’s of paper


Sorry for messy explanation hard to do on a phone

Which graph shows a system with no solutions?

Answers

The answer is graph B because the lines never intersect; they are parallel lines.

Answer:

A Graph b

Step-by-step explanation:

Since the two lines are parellel, they will never intersect and there will be no solutions

You weigh six packages and find the weights to be 20, 12, 52, 16, 48, and 44 ounces. If you include a package that weighs 60 ounces, which will increase more, the median or the mean?

Answers

Answer:

median

Step-by-step explanation:

The first step is to sort the numbers from largest to smallest (you could go the other way as well).

60 52 48 44 20 16 12

The median is the middle number 44 in this case. The median has 3 numbers on its left and 3 on its right (in this case). 44 has 60 52 48 or its left and 20 16 and 12 on its right.

The mean is the average. We'll call it the new average

The mean is 60 + 52 + 48 + 44 + 20 + 16 + 12 = 252

The new mean is 252 / 7 = 36

=====================

The old median is the average between the middle 2 numbers (before you added 60 you had 6 numbers)

52 + 48 + 44 + 20 + 16 + 12 = the average of 44 + 20 which 64/2 = 32

The old mean was (52 + 48 + 44 + 20 + 16 + 12)/6 = 32.

=======================

The median increased from 44 to 32 = 12

The mean went from 32 to 36 which is 4

Answer: the median increased more  

Pls answer all 3 questions

Answers

Answer:

a) x=4

b) y=3

c) 3m-2n

please help a struggling man​

Answers

Answer:

x is all real numbers

Step-by-step explanation:

The domain is the input to the function.  It is the values that x can take.

For this function, x can be any real value

In a 30cm by 25cm rectangle, a quadrant of a circle of radius 7cm has been cut away from each corner. What is the perimeter of the part left? and also what is the area of the part left

Answers

Answer:

97.96 cm

596.14 cm²

Step-by-step explanation:

sides become:

30 cm ⇒ 16 cm25 cm ⇒ 11 cm

and added corners:

4*2πr/4= 2πr = 2*3.14*7 cm= 43.96 cm

then perimeter is:

P= 2*16+2*11+43.96= 97.96 cm

the area left is:

A= 30*25- 4*1/4*3.14*7²= 596.14 cm²

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