what is the gradient of a line with an equation of 3x-2y-6=0​

Answers

Answer 1

Answer:

Slope m = 3/2

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define Equation

3x - 2y - 6 = 0

Step 2: Rewrite

Find slope-intercept form

Subtract 3x on both sides:                    -2y - 6 = -3xAdd 6 on both sides:                             -2y = -3x + 6Divide -2 on both sides:                         y = 3/2x - 3

Step 3: Break Function

Identify Parts.

Slope m = 3/2

y-intercept b = -3


Related Questions

A cereal company is putting 1 11 of 4 44 prizes in each box of cereal. The prizes are evenly distributed so the probability of winning any given prize is always 1 / 4 1/41, slash, 4.

Answers

Answer:

0.75

Step-by-step explanation:

The complete question is attached below.

The dots on the numbers of the dot plot represent the number of boxes it took Vera to get all the prizes.

Therefore, the probability of getting all the prizes in 9 or fewer boxes is the sum of the number of times it took her to get 4 prizes in 9 boxes or fewer.

Hence:

P(x ≤ 9) = P(x = 4) + P(x = 5) + P(x = 6) + P(x = 7) + P(x = 8) + P(x =9)

P(x ≤ 9) = (4 / 36) + (6 / 36) + (3 / 36) + (4 / 36) + (4 / 36) + (6 / 36)

P(x ≤ 9) = 27 / 36

P(x ≤ 9) = 3 / 4 = 0.75

Find the slope of the line that passes through the pair of points ? (5, 6), (7, –2)

Answers

Answer:

[tex]m=-4[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (5, 6)

Point (7, -2)

Step 2: Find slope m

Substitute [SF]:                    [tex]m=\frac{-2-6}{7-5}[/tex]Subtract:                              [tex]m=\frac{-8}{2}[/tex]Divide:                                 [tex]m=-4[/tex]

what is the pruduct of -6 and 7

Answers

Answer:

-42

Step-by-step explanation:

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Bob and Cheryl are taking a road trip that is 181.60 miles. Bob drove
3
4
of the total distance.

How many miles did Bob drive?

Answers

If he drove 3/4 of the trip than he drove 136.2 miles of the trip

What is an equation of the line that passes through the point (-2,-3)(−2,−3) and is parallel to the line 5x+2y=14

Answers

Answer:

y=5/2x+2

Step-by-step explanation:

rearrage equation: y=5/2x-7

new slope is same: y=5/2x+b

substitue point (-2,-3):

-3=5/2(-2)+b

-3=-5+b

-3+5=b

2=b

LAST QUESTION ON UNIT TEST!!! PLEASE HELP!!!


A supermarket display consists of boxes of soda. The bottom row has 38 boxes. Each row has four fewer boxes than the row below it. The display has eight rows.

a) Write and use the function to determine how many boxes are in the top row. Show your work.

b) Use the appropriate formula to determine the number of boxes in the entire display. Show your work.

Answers

Answer: A=(38*x)-(x*4) (x equals rows)

So the top row consists of 272 boxes of soda.

Select the Function that match’s the Graph #2!!!

Answers

Answer:

2

Step-by-step explanation:

25 POINTS AND BRAINLY(dont answer if u don't know it)
Geologists have taken a collection of samples of a substance from a proposed mining site and must identify the substance. Each sample is roughly cylindrical, and the volume of each sample as a function of cylinder height (in centimeters) is V(h) = 1/4 πh^3. The mass (in grams) of each sample in terms of height can be modeled by M(h) = 1/4 h^3 − h2 + 5h. Write an expression that represents the density of the samples.
(Hint: D = M/V)

D(h) = __________

Answers

The expression that represents the density is D = h^2 - 4h + 20/pi h^2

write in simplest form 1/3 times 1 1/3

Answers

Answer:

3 2/3

Step-by-step explanation:

Use a calculator please

dog water kid o earnings no pr literally free so free

Answers

Answer:

huh??? I'm confused lol

Answer:

what do u mean???

Step-by-step explanation:

select the correct answer. Each statement describes a transformation of the graph of
[tex]f(x) = \sqrt[ 3]{x} [/tex]

Answers

Answer:

The correct answer is d.

Step-by-step explanation:

Let's solve each answer and see which one matches.

Note that in each case, you simply add or subtract from x inside the radical to move left or right respectively.  Similarly, just add or subtract to the full expression to move up or down respectively. Doing so we get:

a) [tex]f(x) = \sqrt[3]{x + 7} + 3[/tex]

b)[tex]f(x) = \sqrt[3]{x - 3} - 7[/tex]

c)[tex]f(x) = \sqrt[3]{x - 3} + 7[/tex]

d)[tex]f(x) = \sqrt[3]{x - 7} + 3[/tex]

So d is the correct answer.

look at the photo answer the question on separate paper make sure you are correct

WHOEVER ANSWERS FIRST CORRECTLY GETS BRAINIEST AND GETS 30 POINTS!!

Answers

Answer:

7) 480 m³

8) 84 ft³

Step-by-step explanation:

7) 8 x 6 x 4 = 192

12 x 6x 4 = 288

192 + 288 = 480

8) 6 x 4 x 2 = 48

6 x 3 x 2 = 36

36 + 48 = 84

Please help me!!!!!!

Answers

Answer:

Step-by-step explanation:

For A you can use angles in a triangle adding to 180 degrees.

For a you can use the sine rule.

From there you can use Pythagoras to work out c.

Hope this helps :)

Hope this helps. But for a it’s basically the shapes and sizes as the others consume

f(x) = 2x^2 – 7x – 6
Find f(6)

Answers

Answer:

f(6)=24

Step-by-step explanation:

[tex]f(x) = 2x^2 - 7x - 6\\f(6) = 2(6)^2 - 7(6) - 6=2*36-42-6=24[/tex]

Answer:

f(6) = 24

Step-by-step explanation:

f(x) = 2x² – 7x – 6: f(6)

f(6) = 2(6)² - 7(6) - 6

= 2 × 36 - 42 - 6

= 72 - 48

f(6) = 24

Thus, f(6) = 24

-TheUnknownScientist

a rectangle has a perimeter of 60 the length of the rectangle is 3 less than twice the width

Answers

Answer:

wat did u say

Step-by-step explanation:

Uma piscina possui 5 m de comprimento, 3 m de largura e 2,5 m de profundidade. Calcule: a) A quantidade de azulejo necessária para forrar a piscina b) A quantidade de água que cabe nessa piscina. c) seu volume em m3

Answers

Answer:

a) 70 azulejos

b) 37500 litros

c) 37.5m³

Step-by-step explanation:

A piscina tem 5 m de comprimento, 3 m de largura e 2,5 m de profundidade.

Comprimento = 5m

Largura = 3m

Profundidade (altura) = 2,5 m

Calcular:

a) A quantidade de ladrilhos necessária para cobrir a piscina

Isso é calculado como a área de superfície da votação

A = 2 (wl + hl + hw)

A = 2 × (3 × 5 + 2.5 × 5 +2.5 × 3)

A = 70 m²

Observe que:

1 m² = 1 azulejo

70 m² = 70 azulejos

b) A quantidade de água que pode caber na piscina.

1 m³ = 1000 litres

O volume de uma piscina = Comprimento × Largura × Altura

= 5m × 3m × 2.5m

= 37.5m³

1 m³ = 1000 litros

37.5m³ =

37.5 × 1000 litros

= 37500 litros

c) seu volume em m³

O volume de uma piscina = Comprimento × Largura × Altura

= 5m × 3m × 2.5m

= 37.5m³

HELP NEEDED ASAP ............ Please get me the right answer otherwise i am gonna get 76 instead of 80 ! Giving 20 points

Answers

Answer:

2nd and 4th options are correct

Step-by-step explanation:

Here, let’s work with the number of tablespoon of lemon juice

From the question ;

2 servings = 1/2 tea spoon

So 4 servings = 2 * 1/2 = 1 tea spoon

Let us convert this to table spoon

3 teaspoon = 1 table spoon

1 teaspoon = x table spoon

3 * x = 1

x = 1/3 tablespoon

As we can see, this is not any part of the options

Let us check for 6 servings

6 servings = 3 * 1/2 = 1.5 tea spoon

From the question;

3 tsp = 1 tbsp

1.5 tsp = x tbsp

x * 3 = 1.5

x = 1.5/3

x = 1/2 tbsp

As we can see, second option is correct

second part

we are working with vinegar

For 2 servings = 2 tbsp of vinegar

4 servings = 2 * 2 = 4 tbsp of vinegar

From the question

2 tbsp = 1/8 cup

4 tbsp = x cup

x = (4 * 1/8)/2 = 1/2/2 = 1/4 cup

For 6 servings

= 3 * 2 = 6 tbsp

From the question;

2 tbsp = 1/8 cup

6 tbsp = x cup

2 * x = 6 * 1/8

x = 6 * 1/8 * 1/2

x = 3/8 cups of vinegar

So therefore, options 4 and 2 are correct

f(x) = x + 2x + 12
for the following function, select the x-intercepts and y-intercept

Answers

Answer:

Y intercept is 12 x intercept is -4

Step-by-step explanation:

a birthday cake at the bakery was $30 originally. During a sale, a discount of 28% was given. A further 15% discount was given to those customers who ordered a month earlier. How much would a customer who orders a month earlier need to pay for the birthday cake during the sale?​

Answers

Answer:

$18.36

Step-by-step explanation:

In this question, we have to find the cost of the cake for the customer who orders a month early.

We know that the original price of the cake is $30.

We also know that there was a 28% discount and a 15% discount added to the purchase.

Remember, You don't add discount percentages together, you discount the prices separately.

Solve:

First, apply the 28% discount.

30 · 0.28 = 8.40

30 - 8.40 = 21.60

Now apply the 15% discount to the new price.

21.60 · 0.15 = 3.24

21.60 - 3.24 = $18.36

They needed to pay $18.36 for the cake.

Simplify 4x-3x(-3x+15)

Answers

You gotta start doing it yourself and not relying on others lol

A train traveled at a speed of 60 miles per hour for 5 hours. How far did the train travel?
O 12 miles
O 30 miles
O 120 miles
O 300 miles

Answers

Answer:

d

Step-by-step explanation:

The train traveled for a distance of 300 miles

What is Speed?

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the speed of the train be S = 60 miles per hour

The time taken by the train to reach the destination = 5 hours

So ,

The distance traveled by the train = Speed of the train x Time taken

                                                         = 60 x 5

                                                         = 300 miles

Therefore , the distance traveled by the train is 300 miles

Hence , The train traveled for a distance of 300 miles

To learn more about speed click :

https://brainly.com/question/19930939

#SPJ6

Jim keeps track of his driving so that he can take a tax deduction. Jim drove 450 miles last month, in comparison to 261 miles this month. By what percent has his monthly driving decreased?

Answers

Answer:

42% decrease

Step-by-step explanation:

To get the percent increase or decrease, subtract 450 by 261 to get 189. Then divide this by 450 to get 0.42. Multiply this by 100 to get a 42 percent decrease.

James started an apple orchard with the trees he already had and then planted 25 more. Now his orchard contains 44 trees. How many trees did James start out with?

Answers

he had 19 trees to start with. also love the pfp :3

there are 25 gold paper clips and 75 silver paper clips in each box. How many silver paper clips are in 8 boxes. (THIS IS MULTIPLICATION)

Answers

Answer:

600

Step-by-step explanation:

75 x 8 = 600

Answer:

the answer is 600 silver paper clips

Step-by-step explanation:

So the question asks how many SILVER PAPER CLIPS are in 8 boxes. The questions adds 25 GOLD CLIPS just to throw you off. You do not do nothing with it, it just there to mess with your mind. Also it says 75 silver clips in EACH box and there are 8 boxes. So you multiply 75 with 8 and get 600 SILVER PAPER CLIPS

miss watson runs a distance of 200m in 25 seconds work out the average speed of miss watson in metres per second

Answers

Answer:

8 meters per second

Step-by-step explanation:

l

Hi, can someone explain to me what Constant of proportionality is using an example problem because I don't understand it.

Answers

Answer:

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

The current population of humming birds is currently 1,500. The population grows 10% each month. Determine the population of humming birds in:
1 month, 2 months, 6 months, and in 1 year.
If you can do all of these, I will give brainliest :)

Answers

1 month- 1,650, 2 months- 1,815, 6 months- 2,650, 1 year- 4,000

28 is 7 times what number?
please help its for 6th graed

Answers

The answer is 4. 7 x 4 = 28

Calculate the discriminant and determine the type and number of solutions for each quadratic equation. 2x2−28x=−48 discriminant: Number of solutions: Type of Solutions: Rational or irrational:

Answers

Answer:

Discriminant = 100

Number of solutions = 2

Type of solution = Real and Unique

Rational or Irrational: Rational

Step-by-step explanation:

Given the quadratic expression;

[tex]2x^2 - 28x= - 48 \\[/tex]

Rewrite in standard form

[tex]2x^2 - 28x+ 48= 0 \\[/tex]

Divide through by 2;

[tex]x^2 - 14x + 24 = 0[/tex]

From the expression;

a = 1, b = -14 c = 24

Discriminant determines the nature of the root of the quadratic equation;

Discriminant D = b² - 4ac

Substitute the given values;

D = (-14)² - 4(1)(24)

D = 196 - 96

D = 100

Since the discriminant is greater than zero this means that the solution will be real and unique values.

Get the number of solutions;

Using the formula;

x = -b±√D/2a

x = -(-14)±√100/2(1)

x = 14±10/2

x = 14+10/2 and 14-10/2

x = 24/2 and 4/2

x = 12 and 2

Hence the equation has 2 solutions.

The solutions are rational since we can write then as a ratio of two integers

Determine the intercept of the line

Answers

Y intercept: when x = 0
Look on the graph
It would be (0, 0.4)

X intercept: when y = 0
Look on the graph
It would be (0.3, 0)
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