What is the slope of the line?

3(y- 1) = 2x + 2


Answers

Answer 1

Answer:

2/3

Step-by-step explanation:

1. The easiest way to find the slope of the line is by converting this equation into slope-intercept form (y = mx + b).

y = y-coordinatem = slopex = x-coordinateb = y-intercept

2. (Solving)

Step 1: Simplify both sides of the equation.

[tex](3)(y) + (3)(-1) = 2x + 2[/tex] [tex]3y - 3 = 2x + 2[/tex]

Step 2: Add 3 to both sides.

[tex]3y - 3 + 3 = 2x + 2 + 3[/tex] [tex]3y = 2x + 5[/tex]

Step 3: Divide both sides by 3.

[tex]\frac{3y}{3} = \frac{2x+5}{3}[/tex] [tex]y = \frac{2}{3}x + \frac{5}{3}[/tex]

3. Since 2/3 is in place of m, the slope, the slope of the line is 2/3.


Related Questions

please help me
17.97 = n/3 − –14

Answers

Answer:

n=11.91

Step-by-step explanation:

Please explained that answer!

Answers

Answer:

f(x)= -1/2x+1

Step-by-step explanation:

The slope is negative because the graph goes up then to the left, making it negative. The slope is also 1 half because the slope is measured by rise over run. It rises once, then goes to the left twice. 1/2. It's also plus 1 because the graph cross the y-intercept at positive 1.

5trig review please help me

Answers

Answer:

Is A

Step-by-step explanation:

Answer:

4).3√42ft

5).√3 yd

.....................

help me pls help please???

Answers

Answer:

3 – x

Step-by-step explanation:

A number in this case we will as x. And 3 less than x is -

3 – x

x - 3

Hope i helped ya!




The corporate team-building event will cost $16 if it has 4 attendees. If there are

5 attendees, how much will the corporate team-building event cost? Solve using

unit rates.

Answers

Answer:  $20

Step-by-step explanation:

We will assume that there is a per-person cost:

$16/4 attendees = $4/attendee

($4/attendee)*5 attendees = $20

i= $100.10
p= $1100
r= 10.0%
t= ? years

Answers

Step-by-step explanation:

1 year

thabkyou for brainly

PLS HELP QUESTION 8 ASAP ILL GIVE BRAINLIEST

Answers

Answer:

Ryan sold 12 cell phones

Step-by-step explanation:

2000+15x12

What is the equation of the line in point slope form given a slope of -12 and a point of (-4,
-5)?

Answers

Answer:

The equation of a line in point-slope form is y-Y1=m(x-X1). ”m” is the slope and (X1,Y1) is a point.

So, the equation in point-slope form is y+5=12(x+4).

:)

the answer to life the universe and everything

Answers

Answer:

42

Step-by-step explanation:

Heres the signifigance,

"The number 42 is, in The Hitchhiker's Guide to the Galaxy by Douglas Adams, the "Answer to the Ultimate Question of Life, the Universe, and Everything," calculated by an enormous supercomputer named Deep Thought over a period of 7.5 million years."

Hope this Helps

Answer:

42

Step-by-step explanation:

"The number 42 is, in The Hitchhiker's Guide to the Galaxy by Douglas Adams, the "Answer to the Ultimate Question of Life, the Universe, and Everything," calculated by an enormous supercomputer named Deep Thought over a period of 7.5 million years. "

Source: wikipedia

Divide. Give the quotient and remainder. 47 ÷ 5​

Answers

Answer:

9 Remainder 2 which is also 9.4

Step-by-step explanation:

The closest to a full number would be 9. So do 9*5 to get 45. With a remainder of 2.

Brainliest maybe? I need one more and I level up in rankings.

Answer:

9 remainder 2.

Step-by-step explanation:

5 * 9 = 45

47 - 45 = 2.

I'll give Brainliest and 45 points: A box of cooked whole wheat spaghetti contains 8 servings and has 28 grams of fiber.
How much fiber per serving does the spaghetti have?

Answers

Answer:

3.5 grams

Step-by-step explanation:

8/8=1, 28/8=3.5

3.5 grams per serving

3.5 and/or 3/5 grams of fiber.


28 / 8 = 3.5
(Divided by)

Distributing the - sign outside the parentheses -(6y-9.6z+3)

Answers

Answer:−6y+9.6z−3

Step-by-step explanation:−(6y−9.6z+3)

−6y+9.6z−3

Write the slope-intercept form of the equation of the line described.
Through: (5, 4), parallel to y = x-5

Answers

Answer:  y = x - 1

Step-by-step explanation:

Find the slope of the parallel line

When two lines are parallel, they have the same slope.

                ⇒  if the slope of this line = 1

                     then the slope of the parallel line (m) = 1

Determine the equation

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:  (5, 4)  

                              ⇒  y - 4 = 1 (x - 5)                                

                                ∴  y - 4  = x - 5

We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:

                     since    y - 4 = x - 5

                                 y = x - 1

To test my answer, I drew a Desmos Graph with the information provided in the question and my answer.                        

Please help I’ll give brainily

Answers

Answer:

C

Step-by-step explanation:

Equations of lines that are perpendicular have gradients that are negative reciprocals of each other. This means that the gradient of one of the lines is negative 1 times the fraction flipped.

With the equations presented in the form y = mx + c, the gradient is m. This means you need to look for the values of m where one is the negative reciprocal of the other.

In C, the first gradient is 6/11. The reciprocal (flipped) is 11/6. Make this negative and you get -11/6, which is the gradient of the second equation, so these lines are perpendicular.

Write the expression as a power and evaluate it. 8*2^7

Answers

Answer:

1024

Step-by-step explanation:

The expression can be written as [tex]8 * 2^7[/tex]

What is power?

An algebraic expression known as a polynomial requires that all of its exponents be whole numbers. Any polynomial must have variable exponents that are non-negative integers. Although a polynomial contains variables and constants, we are unable to divide a polynomial by a variable.

Example: The standard form of the polynomial 5 + 2x + x² is expressed.

We shall first determine the polynomial's degree before expressing it in standard form.

The degree of the provided polynomial is two. Write the phrase containing the polynomial's degree.

Given:

8*2^7

The above expression can be written as

[tex]=8 * 2^7[/tex]

= 8 x 128

= 1024.

Hence, the expression can be written as [tex]8 * 2^7[/tex]

Learn more about power here:

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helpppppppppppppppppppp

Answers

Answer:

2nd option

Step-by-step explanation:

given a quadratic in standard form

y = ax² + bx + c

• If a > 0 then minimum vertex

• If a < 0 then maximum vertex

Here a = - 1 < 0 then maximum

The maximum value is the value of the y- coordinate of the vertex

The x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

Here a = - 1 and b = 3 , then

x = - [tex]\frac{3}{-2}[/tex] = [tex]\frac{3}{2}[/tex]

Substitute this value into the equation for corresponding y- value

y = - ([tex]\frac{3}{2}[/tex] )² + 3([tex]\frac{3}{2}[/tex] ) - 1 = - [tex]\frac{9}{4}[/tex] + [tex]\frac{9}{2}[/tex] - 1 = - [tex]\frac{9}{4}[/tex] + [tex]\frac{18}{4}[/tex] - [tex]\frac{4}{4}[/tex] = [tex]\frac{5}{4}[/tex]

Then maximum value of [tex]\frac{5}{4}[/tex]

which pair of terms are not like terms?
A. 4a and 7a
B. 3p^2q and -p^2q
C. 2mn and mn^2
D. -x and 3x

Answers

Answer:

C.

Step-by-step explanation:

Like terms must have exactly the same variables and exactly the same exponents.

In C., you have mn and mn^2. That makes the variable parts not the same, so they are not like terms.

Answer: C.

approximate the number ∛-12 to the nearest a) integer and b) tenth

Answers

Answer:

Below in bold.

Step-by-step explanation:

∛-12

The nearest cube  to -12 is -8    ( -27 is the next after -12)

a) The answer is -2.

b) we can do this by trial and improvement

It must be between -2 and -3, closer to -2 than 3 so first we guess -2.1

(-2.1)^3 = -9.261

(-2.2)^3 = -10.648

(-2.3)^3 = `2.167  - very close

Answer is -2.3 .

Guven O centre of the circle, find x

I just want to check my answers. my answer is x= 24.5⁰
If it is wrong is tell me in the comments.
and if you know the right answer, please answer the question with full explanations.
thanks.

Answers

Answer:

x= 21 is correct answer because x and 21° are opposite angles and opposite angles are congruent

Answer:

21 degrees

Step-by-step explanation:

Angle subtended by the arc is half the angle at the centre of the circle(98 degrees).

What is the solution to this inequality?
X-8 > -3
A. x < 5
B. X> 5
C. X4-11
D. X> -11

Answers

Answer:

B

Step-by-step explanation:

[tex]x - 8 > - 3 \\ x > 5[/tex]

A company manufactures plastic bags. If each month it sells 518 plastic bags for ​$0.05 per bag, how much money could the company make in a year?
Will give brainlessly if correct

Answers

Answer:

$310.8 khoydoydydyiivkfi

list the side of the triangle in order from shortest to longest.

Answers

Answer:

shortest to longest -

B-77

A-59

C-44

Step-by-step explanation:

To put the sides in order of longest to shortest, first find the largest angle -- the longest side is opposite this angle. Then, find the second largest angle and the side opposite from it to find the next largest angle, and finally, the shortest side will be opposite the smallest angle.

I HOPE THIS IS CORRECT!! SORRY IF NOT!!

Given: F(x)= 2x - 1; G(x)= 3x + 2; H(x)= x^2
Find F(x) + G(x) + H(x)

Answers

Answer:

4

Step-by-step explanation:

Answer: 6x^2+1

(very sorry if this is wrong lol)

Step-by-step explanation:

Substitute all the given numbers into the equation, by doing so this should give you 2x-1+3x+2+x^2.

Since we have a group of x’s add them together, which would make 6x^2, this leaves our -1 and +2 add these these two numbers together to make plus one and finally you will have 6x^2+1

PLEASE HELP QUICK!! the cost of one litre of fuel in May 2015 was $0.88. this was a decrease of 20% on the cost in may 2014. calculate the cost of one litre of fuel in may 2014​

Answers

Answer:

$1.1

Step-by-step explanation:

[tex] \frac{100}{price \: before \: \: decrease \: (x)} \: = \frac{100 - 20}{0.88} [/tex]

[tex] \frac{100}{x} = \frac{80}{0.88} [/tex]

Cross multiply

80x = 88

X = 88/80

X = 1.1

the cost of one liter of fuel in May 2014 was $1.10.

Let's denote the cost of one liter of fuel in May 2014 as "x" dollars.

According to the information given, the cost of one liter of fuel in May 2015 was a decrease of 20% on the cost in May 2014. This means that the cost in May 2015 was 80% of the cost in May 2014.

Mathematically, we can express this as:

Cost in May 2015 = (100% - 20%) * Cost in May 2014

0.88 = 0.8 * x

Now, let's solve for "x" (the cost in May 2014):

x = 0.88 / 0.8

x = 1.10

So, the cost of one liter of fuel in May 2014 was $1.10.

Learn more about cost here

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Dr Michael prescribes 300mg a day of medicine to a patient. Each pill has 15mg of medicine. How many pills will the patient need for

Answers

Answer:

20

Step-by-step explanation:

15 x 10 = 150. 150 x 2 = 300. 300mg = 20 pills.

proves that the sum of
5 consecutive natural numbers is divisible by 5 ​

Answers

Answer:

n = 5m + 10 = 5(m + 2), since m + 2 is an integer, then the n is divisible by 5.

Step-by-step explanation:

Answer:

Natural numbers are simply positive integers.  For now, refer to the middle number (the third number), as x.  Thus, the numbers are: x - 2, x - 1, x, x + 1, and x + 2.  Simply add all these numbers to get 5x, a number that is divisible by 5.  As such, you can conclude that any 5 consecutive numbers are divisible by 5, and the quotient would be the third, or middle number.

Hope it helps :) and let me know if you want me to elaborate.

i have no clue how to do this n it’s in f tmrw pls help lol

Answers

Area = w × h

w = width

h = height

Jamie is looking for the rate and unit rate of the following ratio below.


12 napkins costs 20 cents
What is the rate AND unit rate of this ratio?

Answers

Answer: in explanation

Step-by-step explanation:

Rate is simplest form, so 3 napkins for 5 cents.

Unit rate is for 1 x value, so 1 napkin for 0,6 cents.

Lucy spent $3.19 on a sparkly headband and $2.67 on a shiny bracelet. How much more did Lucy spend on the sparkly headband?

Answers

Answer:

$0.52

Step-by-step explanation:

3.19 (headband) - 2.67 (bracelet) = 0.52

Lucy spent 52 cents more on the sparkly headband than the shiny bracelet.

To find the answer, you would subtract the amount of the sparkly headband with the amount of the shiny bracelet, which would leave you with a sum of 0.52 cents.

3.19-$2.67=0.52

What's the answer ??

Answers

Answer:if one part is bigger than the other then its bigger

this should help

Answer:

(8 × 3) + (8×2)

Step-by-step explanation:

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