Determine the equation of the line that passes through the given points. (If you have a graphing calculator, you can use the table feature to confirm that the coordinates of both points satisfy your equation.)
(3.5, 8.2) and (2, 7.3)
a.
y = negative 0.6 x minus 6.1
b.
y = 0.6 x minus 6.1
c.
y = negative 0.6 x + 6.1
d.
y = 0.6 x + 6.1

Answers

Answer 1

Answer:one way is to simply use slope intercept form or point slope form

point slope: y-y1=m(x-x1) where m=slope and you are given a point (x1,y1)

slope intercept: y=mx+b where m=slope and b=yintercept

slope=(y2-y1)/(x2-x1) when given points (x1,y1) and (x2,y2)

we are given

(3.5,8.2) and (2,7.3)

slope=(7.3-8.2)/(2-3.5)=-0.9/-1.5=0.6

slope=0.6 or 6/10

point slope

use any point

y-y1=m(x-x1)

y-7.3=0.6(x-2) or

y-8.2=0.6(x-3.5)

slope intercept wouold be point slope but solve for y by distributing m and adding y1 to both sides

take first one

y-7.3=0.6(x-2)

y-7.3=0.6x-1.2

add 7.3 both sides

y=0.6x+6.1

equation is

POINT SLOPE FORM:

y-7.3=0.6(x-2) or

y-8.2=0.6(x-3.5)

SLOPE INTERCEPT FORM:

y=0.6x-6.1

Step-by-step explanation:


Related Questions

what is the common denominator of 6/7 and 3/8(please help i'm failing math)

Answers

Answer:

56

Step-by-step explanation:

I need 30 please thank you

Answers

Answer:

ok good morning

have a nice day

Step-by-step explanation:

#toxicsquad

Answer:

i think its 7, but you should probably check that...

To earn an a in mr.whites math class students must score a total of at at least 135 points on three test. On the first two test , kaylees scores were 47 and 48 . What is the minimum score she must get on the third test to earn an a

Answers

Answer:

Set an equation x+47+48= 136

solve for x

x+95=136

x= 40

so they need to score a 40

Please help me! my teacher didn't teach me this!!

Answers

Answer:

skew

skew

parallel

parallel

Step-by-step explanation:

First see the below figure to understand parallel and skew lines

As you can see parallel lines lie on the same plane

skew lines lie on different plane and do not intersect

1)AB and GF

AB lies on ABCD plane

GF lies on EFGH plane

and they will never meet / intersect

so skew

2)DH and BF

DH lies on ADHE plane

BF lies on BCGF plane

they seem parallel but they are on different plane, so skew

3)EF and HG

EF and HG both lie on the same plane EFGH

and they both are parallel

4)for this see the second picture

both these planes are parallel

Hope this helps!

any of these please i don't get this

Answers

Answer:

  33. $5.75

  34. 15 ft

  35. 8

  36. 32

Step-by-step explanation:

These questions pretty much cover the sorts of things you're supposed to learn in an Algebra course. If you don't get any of it, you may have a problem with follow-on courses.

__

33.

You are expected to understand this question gives you two relations in two unknowns. The first step is to assign a variable to each of the unknowns. We can use ...

x = cost of a milk shakey = cost of a sundae

The given relations have to do with the prices of different quantities of these:

  2x +3y = 26.25 . . . . . . cost of 2 shakes and 3 sundaes

  4x +2y = 29.50 . . . . . . cost of 4 shakes and 2 sundaes

These two equations in two unknowns can be solved several ways. Here, it is convenient to use the method of "elimination", because the coefficients of x are related by a small integer. Subtracting the second equation from 2 times the first eliminates the x-variable (hence the name of the method).

  2(2x +3y) -(4x +2y) = 2(26.25) -(29.50)

  4y = 23.00 . . . . . . simplify

  y = 5.75 . . . . . . . . . divide both sides by 4

The cost of an ice cream sundae is $5.75.

We can substitute this value into either equation and solve for x. We would find the cost of a shake to be x=4.50. However, the question only asks for the price of a sundae.

__

34.

There are formulas for the perimeter, area, and volume of various geometric figures of a generally circular or rectangular shape. You might find it convenient to memorize them. Here, you need the formulas for the volume of a cylinder and of a cone. You also need to know that the diameter of a circle is 2 times the radius of the circle, since most of the circle-related formulas are in terms of the radius.

Volume of a cone of radius r and height h: V = 1/3πr²h

Volume of a cylinder of radius r and height h: V = πr²h

It can be convenient to remember that a cone has 1/3 the volume of a cylinder the same height.

The relation of interest here is the volume of the silo is the sum of the volumes of the bottom cylinder and the top cone.

  V = π(20 ft)²(60 ft) + 1/3(20 ft)²(x ft) = 26000π ft³

  V = 24000π ft³ +(400/3)x·π ft³ = 26000π ft³ . . . . simplify a bit

  400/3·x = 2000 . . . . . . . divide by π ft³, and subtract 24000

  x = 2000(3/400) = 15 . . . . multiply by 3/400

The height of the top portion is 15 feet.

__

35.

This has to do with understanding the meaning of a table and of an expression relating table values. The expression f(a) = g(b) means you're looking for table entries such that the number in the f(x) column is equal to the number in the g(x) column.

We find the only common function value to be -1, so f(-6) = -1 = g(1). Comparing this to f(a) = g(b), we see that a=-6.

The question asks for |g(a)|. The table tells us g(-6) = -8. Its absolute value will be the value without the negative sign:

  |g(-6)| = |-8| = 8 = |g(a)|

__

36.

This is a polynomial division problem. It tells you the quotient of the quadratic, divided by (ax +2), is (3x -4) with a remainder of 66. We're concerned with the leading coefficient of the divisor, 'a'.

Polynomial long division is much simpler than numerical long division, because each quotient term is the leading dividend term divided by the leading divisor term. Here, that means ...

  96x²/(ax) = 3x

Multiplying by ax gives ...

  96x² = 3ax²

Dividing by 3x², we see that ...

  (96x²)/(3x²) = (3ax²)/(3x²)

  96/3 = a = 32

The value of 'a' is 32.

what is the equation in slope intercept form of the line that has a slope of -7 and y intercept of 3/11

Answers

Answer:

y = -7x + 3/11

Step-by-step explanation:

Which describes the slope of the line that passes through the points (2, 5) and (– 4, 5)?

Answers

Answer:

m is the slope of line and x1, y1= 2,5 , and x2, y2= -4, 5

m = 5-2/-4-5 = -1/3

Step-by-step explanation:

A shop sells orange juice in the following ways:

500 ml bottle for £1.25
1.5 litre carton for £2.35 each or 2 cartons for £3.50
2 litre carton for £3.25

What's the cheapest way of buying exactly 8 litres with no extra?
Find the amount of each type of bottle or carton you need and the total cost of buying 8 litres

Answers

Answer:

1.

1.5 litre carton for $2.35 is the cheapest way since it's the cheapest out of all the other options.

2.

a. 1.25 / 0.5 = $2.50 per L

2.35 / 1.5 = $1.57 per L

3.25 / 2 = $1.63 per L

b. 2.50 x 8 = $20.00 per 8 L

1.57 x 8 = $12.56 per 8 L

1.63 x 8 = $13.04 per 8 L

Step-by-step explanation:

find unit rate (cost / quantity)

(sinx + cosx)(1 − sinx cosx) ≡ sin3x + cos3x

Answers

Step-by-step explanation:

We will use the LHS to find the RHS.

Step 1: Expand the LHS by multiplying through the brackets and simplify

(sinx + cosx)(1 − sinx cosx) ≡  sinx + cosx - (sinx + cosx (sinx cosx))

                                             ≡  sinx + cosx - sin²x cosx - sinx cos²x

Step 2: Use the identity sin²x + cos²x = 1, to rewrite the equation

                                           ≡ sinx + cosx - cosx (1 - cos²x) - sinx (1 - sin²x)

Step 3: Simplify the equation by adding like terms

                                           ≡ sinx + cosx - cosx + cos³x - sinx + sin³x

                                           ≡ sin³x + cos³x                 [QED]

Reminder:

1 - cos²x = sin²x  1 - sin²x = cos²x (cosx)(cosx) = cos²x

Rewrite 4/6 and 1/3 as a unite rate

Answers

Answer: B

Step-by-step explanation: Hope this helps :)

Owen invested $81,000 in an account paying an interest rate of 3\tfrac{7}{8}3 8 7 ​ % compounded continuously. Zoe invested $81,000 in an account paying an interest rate of 3\tfrac{1}{4}3 4 1 ​ % compounded monthly. After 9 years, how much more money would Owen have in his account than Zoe, to the nearest dollar?

Answers

Answer: $6322

114800.8806 - 108478.6929

= 6322.1877

Rounded to the nearest dollar = $6322

Answer:6761

Step-by-step explanation:

Hello I need plzzzz help

Answers

Answer:

The number of hours Jenny babysits

Step-by-step explanation:

Since we know that the 10 is the fixed fee for the babysitting services and 5 represents the amount charged per hour, it is safe to say x represents the number of hours Jenny babysits.

Ex.: Let us say she baby sits for 3 hours. 3 would take the place of the x

   5(3)+10. This means Jenny will charge the person she babysat for a total of  

   $15 just for the hours alone.

Hope this helps! :)

Answer:

x represent the number of hours Jenny Babysits

Step-by-step explanation:

since she charges $5 per hour, then X is always how many hours

What is the value of the rational expression when x = –3?

-1/12
0
1/6
undefined

Answers

this is the grah of x=-3

Option D is correct, the value of the rational expression when x = –3 is undefined.

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is x/x²-9

x divided by x square minus nine.

Now let us find the value of the expression when x is minus three,

Plug in x as -3 in the above expression.

-3/(-3)²-9

-3/9-9

-3/0

Anything divided by zero then the value is undefined.

Hence, Option D is correct, the value of the rational expression when x = –3 is undefined.

To learn more on Expressions click:

https://brainly.com/question/14083225

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What is the value of the rational expression x/x2-9 when x = –3?

A. -1/12

B. 0

C. 1/6

D. Undefined

Х
у
-2
3
2
-9
6
-21
10
-33

Answers

Answer:

y = - 3x - 3

Step-by-step explanation:

Given table:

x | -2, 2, 6, 10    y | 3, -9, -21, -33

Use two pairs of points to work out the equation of the line y = mx + b:

(-2, 3) and (2, - 9)

Find the slope:

m = (-9 - 3)/(2 - (-2)) = - 12/4 = - 3

Use one pair to find the y-intercept:

3 = - 3*(-2) + b3 = 6 + bb = 3 - 6b = - 3

The line is:

y = - 3x - 3
☆Answer : (-2, 3) and (2, -9)

m = (-9 - 3)/(2 + 2) = -12/4 = -3 ==> (x)

3 = (-3)•(-2) + b

3 = 3•2 + b

3 = 6 + b

b = -3 ==> (a)

Soo :

y = -3x - 3

Determine the number of solutions you will have for the system: 1/3x+y=2 and 3y=6-x





One solution.


No solutions.


Infinite solutions.


Impossible to determine.

Answers

Answer:

infinity solution

solution:

-x-3y=-6

x+3y=6

-3 and -5 what is less, greater than , and or equal

Answers

Answer:

-3 is less and -5 is greater

Step-by-step explanation:

Answer:

less than

Step-by-step explanation:

because -5 would be less than -3 because it is bigger

PLEASE HELP ASAP
A shop sells a washing machine for £236.25, making a profit of 5%. At what wholesale price did the shop buy the washing machine?
Original price = £

Answers

Answer:

  £225

Step-by-step explanation:

The relationship between the cost price (cp) and the selling price (sp) is ...

  cp + 5% × cp = sp

  cp(1.05) = sp . . . . . . collect terms

  cp = sp/1.05 . . . . . . divide by 1.05

  cp = £236.25/1.05 = £225

The original wholesale price was £225.

the diameter of a circle is 8 centimeters

Answers

The radius is 4 is correct

There are 16 mangoes in a basket.They are ONLY Julie and east indian.If you take out a Julie and replace it with an east indian ,there will be an equal number of Julie and east indian mangoes.If you take you three east indian mangoes and replace them with Julie,the number of Julie will be three fi me the number of east Indians? At present there are how many east indian and Julie mangoes in the basket?​

Answers

Answer:

11 Julie's and 5 East Indians

If the sum of two consecutive
even integers is - 18, find the
integers.

Answers

-10 and -8????

I believe because -10 + -8 = -18 and they are both consecutive

simplify, (xy+yz)² - 2x²y²z² and find the value when x=-1, y=2 and z=1

plz answer this fast plz u will give you brainly plz help me fast only 5min left to answer​

Answers

Simplify:

We have

(xy + yz)² - 2x²y²z

If,

x = -1, y = 2 and z = 1

Putting value:

(xy + yz)² - 2x²y²z

➡ (-1×2 + 2×1)² - 2×-1²×2²×1

➡ (-2 + 2)² - 2×1×4×1

➡ (0)² - 8

➡ 0 - 8 = -8,answer

What is the slope of the line with equation 2x−5y=52?

Answers

Answer:

m = 2/5

Step-by-step explanation:

2x - 5y = 52

-5y = -2x + 52

y = 2/5x - 52/5

The slope of the line with equation 2x−5y=52 is 2/5.

The given equation of line is 2x−5y=52.

What is the slope of a equation?

The slope formula is used to calculate the inclination or steepness of a line. It finds application in determining the slope of any line by finding the ratio of the change in the y-axis to the change in the x-axis.

The given equation 2x−5y=52 can be rewritten as

2x-52=5y

⇒ y = 2x/5-52/5

Now, compare y = 2x/5-52/5 with the standard form of an equation y=mx+c

So, m=2/5

Therefore, the slope of the line with equation 2x−5y=52 is 2/5.

To learn more about the slope of an equation visit:

https://brainly.com/question/13496015.

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Find two integers whose sum is -3 and product is -18

Answers

Answer: -6, 3

[] Our two integers will be x and y

        With this in mind,

                 x + y = -3

                 x * y = -18

[] Let's think about the factors of -18

        Then we will think about which ones could add up to 3

                 1 & 18, 2 & 9, 3 & 6 are factors of 18 (one being negative results in -18)

                 Well 1 and 18 cannot make 3, same for 2 and 9, that leaves us with 3 and 6.

[] Last, we will test

        You can see our test shows this solution works!

                 -6 + 3 = -3

                 -6 * 3 = -18

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Part 2
Directions: Use the information in the charts to answer the questions.
Type of Fruit Cost
Estimated
Cost
apple
$1.75/pound
orange
$2.35/pound
banana
$1.50/pound

Answers

Answer:

i think you need to add all that up

Step-by-step explanation:

Which sequence is geometric?
Group of answer choices

-2, 1, 6, 13...

-1, 2, 7, 14

-4, 20, -100, 500...

-7, 7, 21, 35...

Answers

Hi there! :)

A geometric sequence is a sequence where we use multiplication or division to get to the next term.

We use multiplication in the third sequence (we multiply by -5)

So the answer is Option C

Hope it helps

~Just a gloomy teen who misses her best friend

#CarryOnLearning

[tex]SilentNature[/tex]

6 * 2 /( -1)4* 5-(8+3)

Answers

Answer:

-251

Step-by-step explanation:

Following BEDMAS/PEMDAS

6*2/(-1)4*5-(8+3); first simplify the brackets/parenthesis

= 6*2/(-1)4*5-11; now do divisons and multiplications going from left to right

= 12/(-1)4*5-11 = -12*4*5-11 = -48*5-11 = -240-11

= -251

i started some of it but i’m really confused with the rest. does anyone know how to do this?

Answers

Answer:

see below

Step-by-step explanation:

You're doing well!  The parts of the table you've done are correct.

For x = 1, you switch to the second part of the function rule (because that part says to use it if [tex]x \ge 1[/tex].

x =1 :   6 - 2(1) = 4   (1, 4)

x = 2:  6 - 2(2) = 2   (2, 2)

x = 3:  6 - 2(3) = 0   (3, 0)

x = 4:  6 - 2(4) = -2  (4, -2)

Each of the parts of the function rule graph as pieces of straight lines.  The first part will be a straight line through points (-4, 1), (-3, 0), (-2, 1), (0, 3) but that part of the graph stops at point (1, 4).  Point (1, 4) is on BOTH parts of the graph, so the two lines connect at that point.

Answer:

Step-by-step explanation:

Orion buys 3 books for a total of 25.50. He pays $8 plus sales tax for each book. He wants to know how much the sales tax is for one book.
Let "t" equal the sales tax Orion pays for each book. Write an equation that represents this situation.

Answers

The equation that represents this situation is 8 + 3t = 25.50.

How to calculate the value?

Let the sales tax for each book be represented as t.

Since Orion buys 3 books for a total of 25.50 and he pays $8 plus sales tax for each book. This will be illustrated as:

Cost of book + Tax = Total amount

8 + (3 × t) = 25.50

8 + 3t = 25.50

Collect like terms

3t = 25.50 - 8.

3t = 17.50

Divide

t = 17.50 / 3

t = 5.83

The sales tax is $5.83.

Learn more about equations on:

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1. A linear function can be represented by the equation y = 7x - 4. Identify the slope and y-intercept.
y-intercept:
Slope:

Answers

Hello!

Remember y=mx+b.

m is the slope and b is the y intercept.

So

the slope is 7 and the y intercept is 4.

Hope this helps!

~Just a felicitous teen

#CarryOnLearning

[tex]SIlentNature[/tex]

Answer:

slope: 7

y-intercept:4

Step-by-step explanation:

An Earth worm Moves at a
distance of 45cm in 90 secondo
find the speed of the earth
worm

(I need to know how to lay it out as well)

Answers

Answer:

if the units is in m/s

Step-by-step explanation:

first work out using this triangle.

distance= speed x by time

so if we're trying to find out the speed we reaarange the triangle to :

   distance

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

speed x   time

so speed = distance divided by time

distance = 45cm

divided by time = 90 seconds

But the units are cm and should be metres per second

change 45cm to m

that is 45cm = 45/ 100 = 0.45

0.45/ 90= 0.005cm

answer = 0.005 metres per second( m/s)

plz say thanks + rate !

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