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A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx + b.

A line is drawn on the coordinate plane that passes through the point (3,-6) and has a slope of 4. The y-intercept of the line is

Answers

Answer 1

Answer:

y-intercept is -18

Step-by-step explanation:

The total y=mx+b equation is y=4x-18, you can check in a calculator. I checked on a graphing calculator, and solved it via graphing on a piece of paper.

Answer 2

A line is drawn on the coordinate plane that passes through the point (3,-6) and has a slope of 4. The y-intercept of the line is -18.

What is a slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

Given:

A line that passes through the point (x, y), with a y-intercept of b and a slope of m, can be represented by the equation,

y = mx + b.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

m = 4 (given)

So, the equation of the line is,

y - y₁ = m(x - x₁)    equation 1

And here

x₁ = 3 and y₁ = -6.

Substituting the values to the equation 1,

y - (-6) = 4 (x - 3)  

y+6 = 4x -12

y = 4x -18.

Comparing with the slope-intercept form,

we get y-intercept b = -18

Therefore, the equation is y = 4x -18 and y -intercept of the equation is -18

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Related Questions

Show that the point (3, 7) lies on the line y = 2x + 1

Answers

Just plug in the point
x = 3 and y = 7
Y = 2(3) + 1
Y = 6 + 1
Y = 7
That’s how to prove it

At a store, a televisionset has a marked price of $25,000. However there is a vat of 17.5% paid on all purchases. How many will the customer pay in total for the tv set

Answers

Answer:

$29,375

Step-by-step explanation:

Find 17.5% of 25,000 and add it to 25,000 to get the total.

25,000x17.5% = 4,375

25,000 + 4,375 =

29,375.

What is the value of 5c + 2, if c= 6

Answers

To evaluate the expression, we will need to plug in a 6 everywhere there is a c.

5c + 2

5(6) + 2

30 + 2

32

Hope this helps!! :)

Determine the value of x in the figure​

Answers

180-140=40 (complementary angle)
2z=40
Z=40/2
Z=20
Solution:The sum of all the angles which stand on a straight line is 180°.Therefore, 2z + 140° = 180°or, 2z = 180° - 140°or, 2z = 40°or, z = 40° ÷ 2or, z = 20°Answer:

z = 20°

Hope it helps! Please do comment if you have any query.

Thank you

I don't have a lot of time this is about to be overdue
What are the terms in the expression 2d + 7 + 5f?

2, 7, and 5

d and f

2 and 5

2d, 7, and 5f

Answers

Answer:

• d and f

Step-by-step explanation:

• take an example of;

ax + by + 1

a and b are coefficientsx and y are terms1 is a constant

[tex].[/tex]

Your business is looking into three contracting firms. Based on previous research, there is a
75% chance that company 1 will earn you $40,000. There is a 45% chance that company 2
will earn you $60,000. Company 3 has a 30%chance of earning you $80,000. It costs $20,000 to draw up legal paperwork for each company. How much profit or loss would you expect
after this deal is done if you sign with all 3 companies?
$21,000 profit
$21,000 loss
$81,000 profit
$81,000 loss

Answers

Answer:21,000 profit

Step-by-step explanation:

pls help me ASAP

ty ​

Answers

Step-by-step explanation:

D = b² - 4ac

#1

D = 10² - 4 · 3 · 2

D = 100 - 24

D = 76

#2

D = (-5)² - 4 · 1 · (-4)

D = 25 - (-16)

D = 26 + 16

D = 42

#3

D = 7² - 4 · 1 · (-8)

D = 49 - (-32)

D = 49 + 32

D = 81

#4

D = 0² - 4 · 1 · (-9)

D = 0 - (-36)

D = 36

#5

D = (-6)² - 4 · 5 · 10

D = 36 - 200

D = - 164

Find the pattern and state the next number.
1 1/2, 2/3, -1/6, -1, ???
help is highly appreciated :D

Answers

Answer:  ⁻¹¹/₆  =  - 1 ⁵/₆  

Step-by-step explanation:

If we rewrite each term of the sequence to a common denominator then it makes it easier to see the pattern:

       ³/₂ , ²/₃ , ⁻¹/₆, -1 , ___

      ⁹/₆ , ⁴/₆ , ⁻¹/₆ , ⁻⁶/₆ , ___

 

This makes the pattern Xₙ = ⁹/₆ - ⁵⁽ⁿ⁻¹⁾/₆

∴ the missing term is ⁻¹¹/₆

Find two consecutive integers such that the second is 13 less than twice the first.​

Answers

Answer:14,15

Step-by-step explanation:

X first x+1 second

X+1=2x-13

-×+1.=-×-13

1=×-13

+13=×+13

14=×

solve for x.

- 6 ≥ 10 - 8 x

Answers

Answer:

[tex]x \geqslant 2 \: \: \: \: or \: \: \: \: 2 \leqslant x \\ [/tex]

Step-by-step explanation:

[tex] - 6 \geqslant 10 - 8x \\ - 6 - 10 \geqslant - 8x \\ - 16x \geqslant - 8x \\ \frac{ - 16}{ - 8} \leqslant x \\ 2 \leqslant x[/tex]

Answer:

x ≥ 2

Step-by-step explanation:

-6 ≥ 10 - 8x

=> 8x - 6 ≥

=> 8x ≥ 10 + 6

=> 8x ≥ 16

=> x ≥ 16/8

=> x ≥ 2

A construction worker has a rope that is 6 ft long. he needs to cut it into pieces that are 2/3 ft long. how many such pieces can he cut without having any rope leftover?

multiply and simplify.​

Answers

Answer: 9 pieces of rope.

-2 1/2 ÷6=
-5 5/8 ÷ 5=
-2 1/8 ÷ 1/4=
1 5/8 ÷ -1 3/5=
-4 1/3 ÷ -2 3/5=​

Answers

1) -1.75
2) -1.375
3) -10.5
4) -75/104
5) 205/69

Answer:

-2 1/2 ÷ 6 = -0.41

-5 5/8 ÷ 5 = -1.12

-2 1/8 ÷ -1/4 = -8.5

1 5/8 ÷ -1 3/5 = -1.01

-4 1/3 ÷ -2 3/5 = 1.66

,  Hope this helps :)

Have a great day!!

i need help is my answer is correct or not yallll ...

Answers

Answer:

YES you are

Step-by-step explanation:

3/4 − 2/5 in a fraction

Answers

Answer:

0.35

Step-by-step:

[tex] \frac{3}{4} - \frac{2}{5} = \frac{3 \times 5}{4 \times 5} - \frac{2 \times 4}{5 \times 4} = \frac{15}{20} - \frac{8}{20} = \frac{15 - 8}{20} = \frac{7}{20} = 0.35[/tex]

I’m the figure below, g II j. Find the values of z and x.

Answers

Answer:

84°+z°=180°[co exterior angles]

z°=180°-84°

z°=96°

84°=(3x+6)° [alternate exterior angles]

84 - 6=3x

78/3=x

26=x

halp meeeeeeeeeeeeeeeeee

Answers

Answer:

N=12

Step-by-step explanation:

Which of the following lists of values contain rational numbers only?

Group of answer choices

90, -1.375 , π


−81−−−√,7√7√,4.16


28−−√,0,313


639,116−−√,50−−√

Answers

Answer:

90, -1.375 , π

Step-by-step explanation:

State the minimum monthly income and hourly wage per worker needed to cover monthly
expenses for the family you used in part a. Then, explain how to calculate the hourly wage
based on the monthly income and state the hourly wage. Assume that each full-time worker
works four 40-hour work weeks per month, and each part-time worker works two 40-hour
weeks per month. (10 points)

Answers

Answer:

https://brainly.com/question/14113265

Step-by-step explanation:

Seventy-five percent of consumers prefer to purchase electronics online. You randomly select 8 consumers. Find the probability that the number of consumers who prefer to

purchase electronics online is (a) exactly five, (b) more than five, and (c) at most five.

(a) Find the probability that the number that prefer to purchase electronics online is exactly five.

P(5)=

(Round to three decimal places as needed.)

Answers

Using the binomial probability relation, the probability of the following events are :

P(x = 5) = 0.2076P(x > 5) = 0.6785P(x ≤ 5) = 0.3215

Using the relation :

P(x = x) = nCx * p^x * q^(n-x)

Probability of success, p = 0.75q = 1 - p = 1 - 0.75 = 0.25Number of trials, n = 8

Probability of exactly 5 :

P(x = 5) = 8C5 × 0.75^5 × 0.25^3

P(x = 5) = 0.2076

2.) Probability of selecting more than 5 :

P(x > 5) = p(6) + p(7) + p(8)

Using a binomial probability calculator :

P(x > 5) = 0.6785

3.)

Probability at most 5 :

P(x ≤ 5) = p(0) + p(1) + p(2) + p(3) + p(4) + p(5)

Using a binomial probability calculator :

P(x ≤ 5) = 0.3215

Therefore, the probability of selecting at most 5 is 0.3215

Learn more :https://brainly.com/question/12474772

please help me solve for X

Answers

Answer:

-7

Step-by-step explanation:

x+27+90+70=180
x= 180-90-70-27
x= -7

will give correct answer brainliest​

Answers

Answer:

1st one: Reflection

2nd one: Rotation

3rd one: Rotation

4th one: Translation

Step-by-step explanation:

1: These figures are flipping across the y-axis, meaning it's a reflection.

2: This figure rotated 90° clockwise, so it's a rotation.

3: This figure rotated 180° both clockwise and counterclockwise, so it's a rotation.

4: This figure just shifted down and to the right, so it's a translation.

Let f(x)=2(5 ) x−1 . Evaluate f(3) without using a calculator.

Answers

f(x) =2(5)x-1
f(3) =2(5)3-1
f(3) = 30-1
f(3) =29

The value of   f(x)=2(5 ) x−1 is 29.

What are polynomials?

A polynomial expression is an expression that can be built from constants and symbols.Polynomials are algebraic expressions that comprise exponents which can be added, subtracted, or multiplied. Polynomials are of different types.Monomial- Linear equations (A monomial is a polynomial with one term)Binomia l- quadratic equation (A binomial is a polynomial with two, unlike terms).

Calculation:-

For F(3)

⇒f(x) =2*(5)*x-1

⇒f(3) =2*(5)*3-1

⇒f(3) = 30-1

⇒f(3) =29

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The mass of the Earth is 5.9 x 1024 kg. What is the mass of the Earth expressed in standard form

Answers

Answer:

ʕ•ﻌ•ʔʕ•ﻌ•ʔʕ•ﻌ•ʔʕ•ﻌ•ʔʕ•ﻌ•ʔ

Answer:

5.887⋅1024kg

Brainlyest plz

What is 0.01 in standard form

Answers

Answer: 0.01 = 10-2 .

Step-by-step explanation: have a good day!

4x -5 <11
solve for x

Answers

Answer:

x < 4 is the solution.

I hope this helps!

Answer:

The answer is x<4. I hope this helps!

An elevator travels down from the top floor of a skyscraper. The graph below represents its height, in feet, over time in seconds. What does the slope of the line represent?

Answers

Answer:

So Y, which represents height, goes down depending on how far you are in time, which is X.

The slope of the graph represents the elevator's descent speed, calculated as 12 feet per second based on the points (1, 838) and (2, 826).

The Slope of the line in the graph represents the rate of change of height with respect to time, or the speed of the elevator's descent.

In this case, the slope can be calculated using the formula: slope = (change in height) / (change in time). We know that the elevator's height changes from 838 feet at 1 second to 826 feet at 2 seconds,

So, the change in height is : 838 - 826 = 12 feet, and the change in time is 2 - 1 = 1 second.

Therefore, the slope is 12 feet/second, this indicates that the elevator is descending at a speed of 12 feet per second.

Learn more about Slope here

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Write as an equation and solve.

On Monday, Ken spent half of his money on
a new game. The next day he earned
$12 mowing lawns. He now has $32. How much money did Ken have before he
bought the game?

Answers

Answer:

$40

Step-by-step explanation:

2(32-12)=40

hope this helps

X = his money
Y = half of his money
X = 2Y & Y = 1/2X

He earned $12 mowing lawn, and that, added to the other half of his money gives $32

As an equation, 32 = Y + 12
So Y = 32 - 12 if we takeaway 12 from both sides.
Therefore, Y = 20 and since X = 2Y, X = 2 x 20 which gives 40
Ken initially had $40

I know the question has been answered already but I thought I’d provide some extra explanations ((:

Take care ;)

what is 2.4% of 20 rounded to the nearest tenth(as a decimal)

Fake answers will be reported

Answers

Answer:

0.5

Step-by-step explanation:

convert 2.4% to .024 just by moving it two spaces to the left!

(.024)(20) = .48

because your teacher may want it rounded to the nearest tenth, just round one up!

.48 ------> 0.5

comment or message me if you have questions :)

Answer:

0.5

Step-by-step explanation:

What is N plus five squared ?

Answers

Answer:

'n plus 5 squared' is n + 25

Step-by-step explanation:

Note that "five squared" is 5^2, or 25.

Then 'n plus 5 squared' is n + 25.

solve for f(5). f(x)=x^2-2x

Answers

f(5)=5^2-2(5)
f(5)=25-10
f(5)=15
15!

Answer:

Exact form:

x = √2, −√ 2

Demi cal form:

x=1.41421356…, −1.41421356…

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