Write an equation, in slope-intercept form using the given info.
(5, 4) m= -2/3

Answers

Answer 1

Answer:

y = -2/3x + 22/3

Step-by-step explanation:

An equation is written in slope-intercept form when it is written as:

y = mx + b, where m is the slope of the line and b is the y-intercept.

Therefore, because we are given m and a coordinate pair of the line, we can use the point-slope formula to make the equation.

The point-slope formula is [tex]\boxed{y-y_{1}=m(x-x_{1})}[/tex].

Because we are given only one coordinate pair, it is labeled as [tex](x_{1}, y_{1})[/tex].

Now, just plug in this information and solve the equation.

y - 4 = -2/3(x - 5) Distribute the -2/3 throughout the terms.

y - 4 = -2/3x + 10/3 Add 4 to both sides of the equation.

y = -2/3x + 22/3


Related Questions

Give an example of an odd function and explain algebraically why it is odd.

Answers

An odd function is a function of a form [tex]y=x^n[/tex] where n is an odd number.

Some examples would be functions:

[tex]y=x,y=x^3,\dots[/tex].

A formal definition of odd function is the following.

(Algebraic proof).

Let [tex]f:\mathbb{R}\to\mathbb{R}[/tex] (real function).

The function is odd if the below equation is true for all x and -x for which the function is defined:

[tex]f(x)=-f(-x)[/tex].

Hope this helps.

Principal: $1500.
Annual interest rate: 72%.
What is the interest after
6 months?

Answers

I’m assuming you mean 7.2% for the annual interest rate and not 72%. If the annual interest rate is 7.2% then the interest after 6 months is $54.

To solve this problem, you us the equation A=P(1+rt)

A stands for the amount of money accumulated after t years
P stands for principal
r stands for annual interest rate
t stands for time (in years)

Next you need to plug it into your formula which should look like this...
A=1500(1+(0.072*0.5))

When you plug in your annual interest rate, you have to move your decimal place 2 places to the left. That is why 7.2% is 0.072 in the formula above.

The reason that I plugged in 0.5 for the time instead of 6 months is because the time in this formula is calculated in years. For example, if the question told you the time was 12 months, 12 months is one year, so you would plug in a 1 for t. Since your question asked for 6 months, 6 months is equal to half a year or 0.5 of a year. That is why t is 0.5 in the formula.

Now that you have your problem, the next step is to solve. I will show you what that looks like down below.

A=1500(1+(0.072*0.5))
A=1500(1+(0.036))
A=1500(1.036)
A=1554

From this problem, we just solved for how much money is in this account after 6 months which is $1554. But we’re not done yet, we are looking for how much interest was earned after 6 months.

To find this, all you have to do is subtract the amount earned after 6 months ($1554) by the principal amount ($1500) using this formula (the I stands for Interest).

A-P=I
1554-1500= 54

The interest earned after 6 months is $54.
(If the annual interest rate is 72% and not 7.2%, you can still use the formulas and my lesson to solve it yourself)

what is the product of 2/3 3/4 4/5 5/6 6/7

Answers

Answer:

2/7

Step-by-step explanation:

Since multiplication fractions is just multiplying all numerators together and all denominators together, we can group all these fractions together into one big fraction as they are all being multiplied together:

(2x3x4x5x6x)/(3x4x5x6x7)

Because each term is being multiplied together, if it also appears in the denominator, they will cancel each other out (as x multiplied by y and then divided by y is just x as the ys cancel each other out)

Therefore we are just left with 2/7.

Hope this helped!

A 2000 kilogram sports car accelerates at a ratr of 30 meters per second squared. The velocity of the car is v=at where a is acceleration in meters per second squaref and t is tome in seconds. The kinetic energy of the car is KE = 1/2 mv^2

Answers

Answer:

KE = 900,000t²

Step-by-step explanation:

The formula for calculating the kinetic energy of a body is expressed as KE = 1/2mv² where;

m is the mass of the sport car = 2000kg

v is the velocity of the car

Since v = at

v = 30t

Substituting the given values into the KE formula;

KE  1/2 * 2000 * (30t)²

KE = 1000*900t²

KE = 900,000t² Joules where t is the time measured in seconds

Answer:

KE = 900,000t²

Step-by-step explanation:

Answer is D if you use edgenuity, answers do not mix

The formula uppercase S = StartFraction n (a Subscript 1 Baseline plus a Subscript n Baseline) Over 2 EndFraction gives the partial sum of an arithmetic sequence. What is the formula solved for an?

Answers

Answer:

[tex]a_n = 2S - a_1[/tex]

Step-by-step explanation:

Given

[tex]S = \frac{a_1 + a_n}{2}[/tex]

Required

Determine the formula for [tex]a_n[/tex]

What this question implies is to solve for [tex]a_n[/tex]

[tex]S = \frac{a_1 + a_n}{2}[/tex]

Multiply both sides by 2

[tex]2 * S = \frac{a_1 + a_n}{2} * 2[/tex]

[tex]2 S = a_1 + a_n[/tex]

Subtract [tex]a_1[/tex] from both sides

[tex]2S - a_1 = a_1 - a_1 + a_n[/tex]

[tex]2S - a_1 = a_n[/tex]

[tex]a_n = 2S - a_1[/tex]

Hence; the formula to solve [tex]a_n[/tex] is [tex]a_n = 2S - a_1[/tex]

Answer:

an=2S-a1n/n

Step-by-step explanation:

17 POINTS!!!! List the elements in the set described. {x|x is a natural number between 9 and 17} (Use a comma to separate answers as needed. use ascending order.)

Answers

Answer:

10, 11, 12, 13, 14, 15, 16

Step-by-step explanation:

The natural numbers are 1, 2, 3, 4, ...

The natural numbers between 9 and 17 are 10, 11, 12, 13, 14, 15, 16.

Answer: 10, 11, 12, 13, 14, 15, 16

on a piece of paper, graph y<-3/4x+2. Then determine which answer choice matches the graph you drew.

Answers

Answer:

  D.  Graph D

Step-by-step explanation:

The  "y <" tells you two things: (1) shading will be below the line, where y-values are less than those on the line, and (2) the line will be dashed, because the "equal to" case is not included.

Only one graph has a dashed line with shading below: Graph D.

Is this a pentagon or what?? Umm sorry I forgot I’ll giv ya brainliest to the first on ...I know I can search on the internet but I just want to ask Brainly so yah....

Answers

Answer:

see below

Step-by-step explanation:

This has only 4 sides and a pentagon has 5 sides

This is a quadrilateral ( 4 sided)

This is a special 4 sided figure called a trapezoid

Answer:

Step-by-step explanation:

pentagon= 5 sides

Quadrilateral=4 sides

parallelogram=4 sides

Rhombus=4 sides

square=4 sides

Rectangle=4 sides

Trapezoid=4 sides

all these of 4 sides come under Quadrilateral.

Find the slope of the line through points (2,-4) and (2,7)

Answers

Answer:

Undefined

Step-by-step explanation:

Use rise/run, (y2 - y1) / (x2 - x1)

Plug in the values:

(7 + 4) / ( 2 - 2)

11/0

= undefined, since you cannot divide by zero

The slope is undefined

I’m a constant function. There are two possible ways to write me; one way being slope-intercept form and the other being constant form
(I don’t really understand what this question is asking)

Answers

Answer:

constant function has the same output no matter what are the inputs and it is written in the form : y=b where b is a constant  that does not change. the slope of this function always equal to zero.

slope intercept form : y=mx+b ( where m=0)

constant form : y=b ( y equal a constant that does not change)

A research company wants to test the claim that a new multi vitamin helps improve short term memory state the objective of the experiment suggest a population determine the experimental and control groups and describe a simple procedure

Answers

Answer:

To test the effects of the multi-vitamin, we must test it on people with short-term memory loss. So the population should be people with short-term memory loss. The independent variable is the multi-vitamin and the dependent variable is the short term memory state of the people being tested. A control group can consist of people with short-term memory loss NOT being treated by the multi-vitamin.

If you would like more help on math or other subjects for FREE, check out growthinyouth.org.

Two hoses are filling a pool the first hose fills at a rate of x gallons per minute the second hose fills at a rate of 15 gallons per minute less than the first hose.

Answers

The correct answer would be B!

6. Which of the following function pairs are inverses?

Answers

Answer: f(x) = 2x - 3 and f(x) = -4x
Answer :

f(x) = 2x + 3 and g(x) = [tex]\dfrac{x+3}{2}[/tex] ✔

This function pairs are Inverse.

please help// geometry question.... “the distance from” is cut off from the picture

Answers

Answer:332

Step-by-step explanation:

Which number is irrational, and integer, and a real number A) -4/2 B) there is no such number

Answers

Answer:

Step-by-step explanation:

real number can be irrational or integer.

otherwise there is no number which can be irrational,integer and real (all together)

Answer: The answer is B) there is no such number.

Step-by-step explanation:

So we have to find which number is irrational, and integer, and a real number. Let's examine the problem closely:

- irrational means not rational and cannot be represented by a simple fraction (like pi )

- an integer means a number that can be written without a fractional component ( -1, 2, 0, -10000 )

- and a real number means that it is not imaginary ( like 2i, [tex]\sqrt{-1}[/tex] )

And our choices here are:

-  -4/2

-  there is no such number

Let's take a look at -4/2. This number is a fraction, but it can be simplified down to -2/1, which is an integer. -2 is a real number, not an imaginary number. But, -2 is not irrational, because as it just was shown here, it CAN be represented by a fraction. So, since only two out of the three criteria are true, then we have to consider choice B.

View Lab
Which of the following functions is most likely to have the smallest value for y if x is large? (Assume k is positive.)
a direct variation function with a small value fork
a direct variation function with a large value fork
an inverse variation function with a small value fork
an inverse variation function with a large value fork
Nexi
Subm
Save and Exit
Mark this and retum

Answers

Answer:

  an inverse variation function with a small value for k

Step-by-step explanation:

The attached graph shows the cases described. The function with the smallest function value for large x is ...

  an inverse variation function with a small value for k

___

On the graph, it is the green curve. The inverse variation functions both continue to decrease for large x, but the function with the smaller k value has a smaller function value.

Answer:an inverse variation function with a small value for k

Step-by-step explanation:Because i took the test

Write a ratio for the following description: Kaleel made three times as many baskets as John during basketball practice. Type your answer in the format: 3:4 with no spaces.

Answers

Answer:

3:1

Step-by-step explanation:

hey there,

< We know Kaleel made 3x as many baskets as John.

We're going to make our ratio Kaleel:John.

The answer would be 3:1 because every time John makes 1 basket, Kaleel makes 3 baskets. If John made 2, then Kaleel would make 6, etc...

Sorry, I can't explain this very well! >

Hope this helped. Feel free to ask anything else.

Which decimal is equivalent to 4/15 A 0.26 B 0.2626 C 0.26 D 0.26

Answers

Answer:

0.266666....

Step-by-step explanation:

see the calculator

lol

Answer:

b

Step-by-step explanation:

read the comment

Please HELP ASAPPPP uts not -3!!!

Answers

Here you go hopes this helps

Answer:

x= 11

Step-by-step explanation:

(7x -1)° + (9x +5)°= 180° (adj. ∠s on a str. line)

7x -1 +9x +5= 180

16x +4= 180 (simplify)

16x= 180 -4 (-4 on both sides)

16x= 176 (simplify)

x= 176 ÷16

x= 11

The sum of the angles on a straight line is 180°

Please help me please

Answers

Answer:

y = 4  (Answer C)

Step-by-step explanation:

We want to find side y.  The sine function relates the 30 degree angle, the hypotenuse 8 and the opposite side y:

                                          y

sin 30 degrees = 1/2 = -----------

                                           8

so y = 4  (Answer C)

How can i write all the names that apply √36 NEED IT ASAP

Answers

Answer:

square of 36 is 6

or maybe 6²

Find the midpoint of CD when
C (-2, -1) and D (4, 3).

Answers

Answer: (1, 1)

Step-by-step explanation:

Midpoint formula: [tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2} )[/tex]

(x1, x2)=(-2, 4)

(y1, y2)=(-1, 3)

-----------------------------------------

 [tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2} )[/tex]

=[tex](\frac{-2+4}{2} ,\frac{-1+3}{2} )[/tex]

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

=[tex](1, 1)[/tex]

Hope this helps!! :)

Please let me know if you have any question or need further explanation

Solve the equation 6x + 2x - 5= 19 x=? Simplify your answer

Answers

Answer:

x = 3

Step-by-step explanation:

6x + 2x - 5= 19  

8X -5 = 19

8x = 24

x = 3

3x-30 =1.5 plz help me

Answers

Answer:

x = 10.5

Step-by-step explanation:

3x - 30 = 1.5

3x = 31.5

x = 10.5

Simplify 3√-1000 and 3√g6h30

Answers

Answer:

[tex] \sqrt[ ]{1000} [/tex]

Step-by-step explanation:

[tex]3 \sqrt{ - 1000} = 3 \sqrt{1000i {}^{2} } \\ = 3 \times 10i \\ = 30i \\ (in \: complex \: form \: i {}^{2} = - 1)[/tex]

Answer:

1st one = -10

2nd one = g2h10

Step-by-step explanation:

Edge2020!!

u= ab/k, for a
Solve form A

Answers

Answer:

a = uk/b

Step-by-step explanation:

u = ab/k

uk = ab

a = uk/b

Simplify: (3n2 +9+5n4 – 3n)+(-9n* - 7 -5n?)

Answers

Answer:

3n^2+9+5n^4+55n

Step-by-step explanation:

Steps

$\left(3n^2+9+5n^4-3n\right)+\left(-9n\left(-7\right)-5n\right)$

$\mathrm{Remove\:parentheses}:\quad\left(a\right)=a,\:-\left(-a\right)=a$

$=3n^2+9+5n^4-3n+9n\cdot\:7-5n$

$\mathrm{Add\:similar\:elements:}\:-3n-5n=-8n$

$=3n^2+9+5n^4-8n+9\cdot\:7n$

$\mathrm{Multiply\:the\:numbers:}\:9\cdot\:7=63$

$=3n^2+9+5n^4-8n+63n$

$\mathrm{Add\:similar\:elements:}\:-8n+63n=55n$

$=3n^2+9+5n^4+55n$

Helpp me out pls!!!!!!!!!

Answers

Answer:

a. Maurice walked farther.

b. 0.62 m

Step-by-step explanation:

Maurice

4.1 × 1.8 = 7.38 miles

Junnie

2.5 × 3.2 = 8 miles

This shows that Junnie walked more than Maurice.

8 - 7.38 = 0.62

Junnie walked 0.62 m more than Maurice

Samantha is wall papering her bedroom and wants to make sure that she bought enough wall paper. Each wall in her room measures 10 feet by 11 feet. How many rolls of wall paper will Samantha need if each roll covers a total of 25 square feet.

Answers

Answer:

17.60

Step-by-step explanation:

Look at the room carefully, the length of the room is 11 feet

And the height = 10 feet

The area of the 4 walls of the room = 4( 11×10) = 440 sq ft

Area covered by each roll = 25 sq ft

= 440/25 = 17.60 rolls

Therefore we require 17.60 rolls to cover a rectangular room on all four sides.

construct a rhombus having length of diagonals 6 cm and 8 cm​

Answers

Steps of construction:
a)Draw AC = 8cm.
b)Draw perpendicular bisector XY of AC meeting AC at O.
c)From O cut off OD = ×6 cm = 3 cm along OX and OB = ×6 cm =3 cm along OY.
d)Join AB, BC, CD, and DA.
ABCD is the required rhombus
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