write the equation of a line that has a slope of 3 and passes through the point (1,2) in slope intercept form

Answers

Answer 1

Answer:

The equation is y = 3x - 1

Step by Step Explanation:

Ok, so your first step in solving this would be substituting m in the equation with the slope, since m represents the slope. So then you would have y = 3x + b. Now, to find b, you would have to substitue the point (1,2) into the equation. You would replace 2 with y since that's the y coordinate, and 1 with x since that's the x coordinate. Then you have 2 = (3*1) + b. Now, you solve for this. You get 2 = 3 + b. Isolating the variable b, you have b = -1. So, the result is y = 3x - 1. That's your answer


Related Questions

What is the best estimate of the measure of the angle shown?

Answers

*answer was incorrect please see below*                                                                                                    

141°
as the angle is obviously larger than 90°, but not large enough to be 171° as if it were so it would be closer to a straight line (since 171° is closer to 180°) hence, the answer is 141° as it is the only option in between.

If the sinø=7/12, what is cosø?

Answers

Answer:

If the sinø=7/12, cosø is [tex]\frac{\sqrt{95} }{12}[/tex]

Step-by-step explanation:

We are given sinФ = 7/12

We need to find cosФ

The basic trigonometric functions of right triangle are:

[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]

[tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex]

We need values of adjacent and hypotenuse to find cosФ

Using Pythagoras theorem we can find the value of adjacent

[tex](Hypotenuse)^2= (Opposite)^2+(Adjacent)^2[/tex]

We have Hypotenuse= 12 and Opposite = 7 (because [tex]sin\theta=\frac{opposite}{hypotenuse}[/tex] and we are given [tex]sin\theta=\frac{7}{12}[/tex]

Inserting values and finding adjacent:

[tex](Hypotenuse)^2= (Opposite)^2+(Adjacent)^2\\(12)^2=(7)^2+(Adjacent)^2\\144=49+(Adjacent)^2\\144-49=(Adjacent)^2\\95=(Adjacent)^2\\\sqrt{(Adjacent)^2} =\sqrt{95}\\Adjacent=\sqrt{95}[/tex]

So, value of Adjacent is [tex]\sqrt{95}[/tex]

Now finding cosФ

[tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex]

Adjacent = [tex]\sqrt{95}[/tex], hypotenuse = 12

[tex]cos\theta=\frac{\sqrt{95} }{12}[/tex]

So, If the sinø=7/12, cosø is [tex]\frac{\sqrt{95} }{12}[/tex]

5. How many solutions does the equation
7x + 3x – 8= 2(5x – 4) have? Explain.

Answers

Answer:

Your answer is: Infinitely Many

Any value of  x  makes the equation true.  Also, they are all real numbers.

Step-by-step explanation:

If you are solving to find all Complex Number Solutions: ↓

Solve the equation to find all of the complex solutions and that means that equation will be always true.

Hope this helped : )

What is 900000+18765439??

Answers

Answer:

Step-by-step explanation:

   900000

+18765439

=27765439

Answer is 27765439

PLEASE HELP W MATHHHH

Answers

Answer:

(15m^2 + 5)

Step-by-step explanation:

(m2 - 3m + 19 ) + (2m2 + m) + (4m2 - 7) + (2m2 + m) + (4m2 - 7) + (2m2 + m)

15m2 + 0m + 5

=> 15m^2 + 5

Answer:

try adding all the sides up

Step-by-step explanation:

P(-2, -3) and Q(2, 7)

Answers

Answer:

The slope is 10/4

Step-by-step explanation:

HELP PLEASE Can you please give an explication when you answer

The temperature at 4:00 am was -3°C, and the temperature rose 9°C during the morning. What was the temperature by noon?
A. -6°C
B. -12°C
C. 6°C
D. 12°C

Answers

Answer:

C.   6°C

Step-by-step explanation:

-3°C + 9°C = 6°C

(-1)(-11) please solve!!

Answers

Answer:

A positive 11

Step-by-step explanation:

11 is your answer

It will really help if you answer atleast 2 of them

Answers

2. 8 x 43 = 344

8 x 43 = 8 (40 + 3)

8 x 43 = 320 + 24

3. 6 x 532 = 3192

6 x 532 = 6 (500 + 30 + 2)

6 x 532 = 3000 + 180 + 12

4. 5 x 923 = 4615

5 x 923 = 5 (900 + 20 + 3)

5 x 923 = 4500 + 100 + 15

I hope this helps :)

Help me solve these please​

Answers

Free points thank you :)

Solve for y.
14-y= b

Answers

14 - y = b
14 = b + y
14 - b = y

I hope this helps!

The value of y in the expression 14 - y = b is y = 14 + b.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, An expression 14 - y = b, Now solving for 'y' is the same as finding the value of y so we'll separate y on the LHS and all the other terms on RHS.

Therefore,

14 - y = b.

- y = b - 14.

- ( - y) = - (b - 14).

y = 14 + b.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ2

Need help If correct will give brainiest

In a​ film, an actor played an elderly uncle character is criticized for marrying a woman when he is 3 times her age. He wittily​ replies, "Ah, but in 22 years time I shall only be twice her​ age." How old are the uncle and the​ woman?

Answers

Answer:

her 22 him 66

22 years later her 44 and him88

Step-by-step explanation:

she hase to be 18 or older, but 22 works

so 22 x 3 = 66 he is 3 x older

him 66 +22=88 ,her 22+22= 44 x2 =88

At a model rocket competition, Mrs. Jennings launches a rocket is launched upward
from the ground with an initial velocity of 138 feet per second.
The formula for vertical motion is
h(t) = 0.5at? + vt +s, where the gravitational constant, a, is -32 feet per second squared, v
is the initial velocity, and s is the initial height. Time t is measured in seconds, velocity
v is measured in feet per second, and heights h and s are measured in feet.
Write the function that describes the height, h in feet, of the rocket l seconds into
launch

Answers

Answer:

The function that describes the height, h in feet, of the rocket, t seconds into launch is h = -16·t² + 138·t

Step-by-step explanation:

The given parameters are;

The initial velocity of the rocket, v = 138 feet per second

The vertical motion formula = h(t) = 0.5·a·t² + v·t + s

The gravitational constant, a = -32 ft./s²

s = The initial height of the rocket

Therefore, he have;

The height of the rocket, t seconds seconds into launch is given as follows;

Height = h = h(t) - s = 0.5·a·t² + v·t

Substituting the known values gives;

h(t) - s = 0.5 × (-32) × t² + 138 × t = -16·t² + 138·t

h = -16·t² + 138·t

The function that describes the height, h in feet, of the rocket, t seconds into launch is h = -16·t² + 138·t.

pleaseee help me answer this

Answers

Vertical is a straight like like this
I
And that line is the y axis while this line
_
Is x axis

Vote you brainiest please help me

Answers

Answer:whole

Step-by-step explanation:

a whole number and a fraction make a mixed number.

Which ordered pair is a solution of the equation?

5x−2y=18

Answers

Answer:

Step-by-step explanation:

5x−2y=18

5(0)−2y=18

-2y=18

y=-9

5x−2(0)=18

5x+0=18

5x=18

x=18/5

Diamonds have a density of 3.5 g/cm3. How big is a diamond that has a mass of 0.10 g?

Answers

Answer:x = 0.028571 cm3

Step-by-step explanation:

I the density is constant and a mass of 3.5 g takes up 1 cubic centimeter, how much volume will a mass of 0.20 g take (in cubit centimeters)?

So, let x be the volume in cubit centimeters.

   the mass is to the volume is as the mass is to the volume

        3.5g /(1 cm3)  =  0,1g / (x cm3)

Cross-multiply to get:

       3.5x = 0.1

         x = 0.1 / 3.5                (divide both sides by 3.5)

         x = 0.028571 cm3      (you probably should round this, but diamonds are expensive !)

Which equation represents the line that passes through points B and C on the graph?


A. Y=2x-6

B. Y=2x+10

C. Y=2x-6

D. Y=2x+10

Answers

y= -2x-6 would be the answer but make sure the 2 is negative

Ryan conducted a 6 day study observing the effects of an organic plant food on the growth of his sprouting bean plant. He tracked these two pieces of info:

1. The amount of plant food remaining in the container after each days study.

2. The height of the plant over time.

Ryan found that the amount of plant food remaining decreased an equal amount each day. He used the entire 72 millimeters by the end of his study. Question

Determine the domain and the range for this relationship.


0≤y ≤6


0 ≤x ≤72


{0, 12, 24, 36, 48, 60, 72}


0 ≤x ≤6


{0,1,2,3,4,5,6}


{0,6,12,18,24,30}


0 ≤y ≤72

Answers

Answer:

Domain: [tex]0\leq x\leq 6[/tex]

Range: [tex]\{0, 12, 24, 36, 48, 60, 72\}[/tex]

Step-by-step explanation:

Let [tex]y[/tex] or [tex]f(x)[/tex] be equal to the amount of plant food that remains after each day.

[tex]x[/tex] be the number of days that have passed.

Total amount of plant food used is 72 mm.

Number of days the experiment goes on is 6 days.

Plant food used each day is [tex]\dfrac{72}{6}=12\ \text{mm}[/tex].

So, the function will be

[tex]y=f(x)=72-12x[/tex]

at

[tex]x=0,y=72[/tex]

[tex]x=1,y=72-12\times 1=60[/tex]

[tex]x=2,y=72-12\times 2=48[/tex]

[tex]x=3,72-12\times 3=36[/tex]

[tex]x=4,72-12\times 4=24[/tex]

[tex]x=5,72-12\times 5=12[/tex]

[tex]x=6,72-12\times 6=0[/tex]

Value of [tex]x[/tex] is the domain which is [tex]0\leq x\leq 6[/tex].

Value of [tex]y=f(x)[/tex] is the range which is [tex]\{0, 12, 24, 36, 48, 60, 72\}[/tex].

Find the missing term ___,48,12,3

Answers

3*4 is 12, 12*4 is 48, 48*4 is 192, so the answer is 192

Answer:

192

Step-by-step explanation:

It’s the answer

These ordered pairs represent a function:(0,2), (1,-1), (2,-4), (3,-7). Write a function rule (equation) to represent this function.
Answer choices
a.y=-3x+2
b.y=x+2
c.y=3x-7
d.y=3x+2

Answers

Answer:

A

Step-by-step explanation:

I included the steps in the picture I attached. lmk if you need me to explain more

You are deciding whether to buy a car for ​$ or to accept a lease agreement. The lease entails a ​$ fee plus monthly payments of ​$ for months. Under the lease​ agreement, you are responsible for service on the car and insurance. At the end of the​ lease, you may purchase the car for ​$. Complete parts a through c below.

Answers

Answer:

a. The correct option is C. No, because you will probably have to pay for service and insurance with either plan.

b. The correct option is A.Yes, the total cost of the car at the end of the lease is $47,400.

c. The correct option is D. Not all of the money is needed up front and you have years to decide if you want to buy the car.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore given as follows:

You are deciding whether to buy a car for $21,000 or to accept a lease agreement. The lease entails a $800 fee plus monthly payments of $250 for 48 months. Under the lease agreement, you are responsible for service on the car and insurance. At the end of the lease, you may purchase the car for $9000. Complete parts a through c below.

a. Should the cost of service and insurance determine which option you choose?

A. Yes, because you probably don't have to pay for services when you buy the car.

B. No, because it is cheaper to lease the car than to buy it.

C. No, because you will probably have to pay for service and insurance with either plan.

D. Yes, because you get a discount on your insurance when you lease the car.

b. Does the total cost of purchasing the car at the end of the lease agreement exceed the cost of purchasing the car at the outset?

A.Yes, the total cost of the car at the end of the lease is $___ (fill in the blank)

B. No, the total cost of the car at the end of the lease is $___(fill in the blank)

c. What are some possible advantages of leasing the car?

A. You can sell the car whenever you want and you can make money on the car when you sell it.

B. The insurance costs less and you get a service discount.

C. You can give the car back whenever you want and you can get a new car whenever you want.

D. Not all of the money is needed up front and you have years to decide if you want to buy the car.

The explanation of the answer is now provided as follows:

a. Should the cost of service and insurance determine which option you choose?

No matter the option, wither buy or lease, that is chosen, the car will still have to be serviced and the insurance cost will have to be paid for. Therefore, the cost of service and insurance should not determine which option to choose.

Therefore, the correct option is C. No, because you will probably have to pay for service and insurance with either plan.

b. Does the total cost of purchasing the car at the end of the lease agreement exceed the cost of purchasing the car at the outset?

From part a above, it is stated that the cost of service and insurance should not determine which option to choose.  Therefore, the cost of service and insurance should not be included in calculating the total cost of purchasing the car at the end of the lease agreement.

This implies the only relevant costs to use in calculating the total cost of purchasing the car at the end of the lease agreement are the $800 monthly fee and the $9,000 cost of purchase at the end of the lease.

Therefore, the total cost of purchasing the car at the end of the lease agreement can be calculated as follows:

Total lease cost = (Monthly fee * Number of months) + Cost of Purchase = ($800 * 48) + $9,000 = $38,400 + $9,000 = $47,400

Therefore, the correct option is A.Yes, the total cost of the car at the end of the lease is $47,400.

c. What are some possible advantages of leasing the car?

Under a lease agreement, there is no need to pay all the money required to buy an item at once. The leasing of an item also enables one to examine the item in details to decide whether to buy it or not at the end of the lease agreement.

Based on the explanation above, the correct option is D. Not all of the money is needed up front and you have years to decide if you want to buy the car.

A manufacturer has invested $120,000 in a new product and wants to set a price to earn a $80,000 profit. The variable cost per unit is $20 and the company sells the units at $100.

Answers

Answer: 500

Step-by-step explanation:

The remainder of the question is:

How many units does the company need to sell to reach the target profit?

The required sales to break even will be calculated as:

= (Fixed cost + Required profit) / ( Price per unit - Variable cost)

= (120000 - 80000) / (100 - 20)

= 40000/80

= 500

The company needs to sell 500 units.

1.Find the area of a trapezium with parallel sides of
length 15 cm & 7 cm. The perpendicular distance
between the parallel sides is 6.8 cm.

Answers

Answer:

The area of the trapezium is [tex]74.8\ cm^2[/tex]

Step-by-step explanation:

Area of a trapezium:

[tex]\displaystyle A=\frac{b1+b2}{2}h[/tex]

This formula is valid if b1 and b2 are parallel and h is perpendicular to both.

Since the trapezium given in the problem satisfies those conditions, we use the formula with:

b1=15 cm

b2=7 cm

h=6.8 cm

[tex]\displaystyle A=\frac{15+7}{2}\cdot 6.8[/tex]

[tex]A=74.8\ cm^2[/tex]

The area of the trapezium is [tex]74.8\ cm^2[/tex]

g(x)=17-2/3x;g(6)

please help me i only have 5 mins left

Answers

Answer:

13

Step-by-step explanation:

17 - 2/3(6)

17 - 4

13

sub in 6 for x to find g(6) instead of g(x)

Help me ASAP for this question.

Answers

The answers is 6 and 8

Answer:

<6 and <8

<1 and <7

Step-by-step explanation:

Supplementary are angles that add up to 180 degrees. (A straight line)

NEED HELP ASAP

A rectangle is labeled truck. A vector that goes down and to the right is labeled 7,500 pounds and the terminal point is labeled tow truck 2. A vector that goes up and to the right is labeled 10,000 pounds and the terminal point is labeled tow truck 1. The angle between the vectors is 110 degrees. The angle between tow truck 2 and the x-axis is 60 degrees.

A pair of tow trucks are pulling on a trailer that is stuck in mud. The first truck pulls with a force of 10,000 pounds at a 110° angle from the second truck, which is pulling with a force of 7,500 pounds. What is the magnitude of the resultant force?

9,821 pounds
10,244 pounds
14,405 pounds
24,226 pounds

Answers

Answer:

10,244 pounds

Step-by-step explanation:

|R|= √(7,500+10,000cos110)²+(10,000sin110)²

|R|= about 10,244 pounds

thats how i did it :I

Answer:

B

Step-by-step explanation:

Edge 2021

Four friend do yard work for their neighbors over the weekend earning $15, &20, and $40, respectively. They decide to split their earnings equally among themselves. In total how much will the friend who earned $40 give to the others?

Answers

Answer:

$10 each

Step-by-step explanation:

There are four friends

Friend 1 = $15

Friend 2 = $20

Friend 3 = $40

Friend 4 = unknown

NOTE;

You didn't provide the earnings of the fourth friend is not given BUT the question can be solved without knowing the earnings of the fourth friend

The four friends decide to split their earnings equally among themselves

how much will the friend who earned $40 give to the others?

Amount given to others = $40 / 4

= $10

The friend who earned $40 will give $10 each to the others

what is the equation of a line in slope intercept form that is perpendicular to y=2x+2 and passes through the point (8,-4)

Answers

Answer:

The equation of the line that is perpendicular to y = 2x + 2 is

y = -1/2x

Step-by-step explanation:

The original equation is y = 2x + 2; it's slope is 2

Any line perpendicular to this equation would have to have a slope that is the negative reciprocal of the original slope.

Example:

y = 2x + 2 so,

the perpendicular line's slope must be -1/2

Write a new equation with the new slope:

y = -1/2x + b

We know that this line passes through (8, -4)

Plug these coordinates in the equation to find b, the y-intercept

-4 = -1/2 (8) + b

-4 = -4 + b

0 = b

b = 0

We do not have to write y = -1/2x + 0

So, our final answer is "y = -1/2x  is perpendicular to y = 2x+2"

what is the restriction in the determining if the given equation is a polynomial?

Answers

Answer:

Polynomials are formed from sums of power functions – with one restriction. The restriction is that the powers must be non-negative integers – simple numbers like 0, 1, 2, 3, etc.

Step-by-step explanation:

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