Write the equation of a line that is parallel to Y =3x-2 that passes through (4,1)

Answers

Answer 1

Answer:

The equation of the line is y = 3x - 11.

Step-by-step explanation:

We are given the equation of a line:

[tex]\bullet \ \ \ y = 3x -2[/tex]

We are also given a point at which the line passes through.

[tex]\bullet \ \ \ (4, 1)[/tex]

With parallel lines, it is important to note:

Parallel lines have the same slope.Parallel lines must have a different y-intercept.

We can use the point-slope equation to find the equation of the line:

[tex]\displaystyle y-y_1 =m(x-x_1)\\\\y - 1 = 3(x - 4)\\\\y - 1 = 3x - 12\\\\y - 1 + 1 = 3x - 12 + 1\\\\y = 3x - 11[/tex]

Therefore, the line that is parallel to y = 3x - 2 and passes through the point (4, 1) is y = 3x - 11.


Related Questions

HELP THIS IS DUE IN ONE HOUR I NEED A GOOD ANSWER! Each sales associate at an electronics store has a choice of the two salary options shown below.
• $115 per week plus 9.5% commission on the associate’s total sales
• $450 per week with no commission


a. The average of the total sales amount for each associate last year was $125,000. Based on this average, which salary option would result in a higher salary?









b. What is the difference between the two salary options?

Answers

Answer:

A) The best option would be a fixed weekly salary of $ 450.

B) The difference between the two options is $ 106.64.

Step-by-step explanation:

A) To determine which option would result in a better salary, knowing that on the one hand you can have a fixed salary of $ 450 per week without commission, while on the other you can have a salary of $ 115 per week plus a commission of 9.5% on the total sales of Each associate, knowing that the average annual sales of each associate in the last year was $ 125,000 and that each year has 52 weeks, the following calculation must be made:

125,000 / 52 = Average sales per week

2,403.84 = Average sales per week

2,403.84 x 0.095 = Weekly commission

228.36 = Weekly commission

228.36 + 115 = Weekly salary

343.36 = Weekly salary

Therefore, the best option would be a fixed weekly salary of $ 450.

B) The difference between both options arises from the subtraction between each amount received by the worker, that is:

450 - 343.36 = X

106.64 = X

Therefore, the difference between the two options is $ 106.64.

a graph represents a relation that is also a function if only and if every ___ intersects the graph ___ once

Answers

Answer:

A graph represents a relation that is also a function if only and if every vertical line intersects the graph at most once.

Step-by-step explanation:

The vertical line test should be used to get an idea about the nature of a graph whether it represents a function or not. A vertical line must not intersect the graph multiple times as it would violate the definition of a function.

If a vertical line intersects the graph multiple times, it means the graph is having the same repeated inputs, which is against the definition of a function. A function can not have repeated input values.

Thus, we conclude that a graph represents a relation that is also a function if only and if every vertical line intersects the graph at most once.

Please Help!!! :( I don't understand

Answers

Answer:

0.425

Step-by-step explanation:

40x2.5=100

17x2.5=42.5

So the fraction is 42.5/100 which is 0.425

LOOK AT PICTURE, WHOEVER HAS CORRECT ANSWER, I WILL MARK BRAINIEST :)

Answers

Answer:

B. 32

Step-by-step explanation:

instead of X in the equation put 3, you will get the answer as 32.

hope it helps!

Answer:

B. 32

Step-by-step explanation:

[tex]f(x) = \frac{1}{2} \bigg( {4} \bigg)^{x} \\ \\ plug \: x = 3 \\ \\ f(3) = \frac{1}{2} \bigg( {4} \bigg)^{3} \\ \\ f(3) = \frac{1}{2} \times 64 \\ \\ f(3) = 32[/tex]

an art teacher has a total of 7/8 pounds of clay .the teacher puts 1/16 of clay at each station .how many stations would there be .

Answers

Answer:

i think there would be 14  stations

Step-by-step explanation:

sorry f i am wrong

i did 7/8/ 1/16

7/8 * 16/1 =14

Answer:

14

Step-by-step explanation:

7/8 divided by 1/16 becomes 7/8 multiplied by 1/16, which equals 14

Which of the following is an equivalent expression to 2x+2x+3y+y


A.4x + 2y
B.4xy
C.x+y
D.4x + 4y

Answers

Answer:

D. 4x + 4y

Step-by-step explanation:

2x + 2x = 4x

3y + y = 4y

So, 4x + 4y is the answer!

The crisis in the housing market during the most recent economic recession led to lower vacancy rates in the apartment industry. This, in turn, has resulted in an increase in monthly rents for apartments. Suppose a random sample of 40 apartments had an average rent of $1,090. Assume the standard deviation for the population of apartment rents is $260. Determine the 98% confidence interval for this sample.

Answers

Answer:

(994.37, 1185.62)

Step-by-step explanation:

Given that :

Mean (m) = 1090

Standard deviation (s) = 260

Samole size (n) = 40

α = 98%

Using the relation :

Confidence interval = mean ± Error

Error = Zcritical * (standard deviation / sqrt (n))

Zcritical at 98% = 2.326

Error = 2.326 * (260 / sqrt(40))

Error = 95.620951

Hence,

Confidence interval :

Lower boundary = 1090 - 95.620951 = 994.379049

Upper boundary = 1090 + 95.620951 = 1185.620951

(994.37, 1185.62)

Help ASAP
The value of y varies directly with x. When y= 80, x= 2. What is the value of y when x is 2?
100
O 64
O 156
O 400

Answers

Answer:

I just know something that answer is 156

What are the like terms in: 4x+7-2x? I will give brainliest

Answers

Answer:

4x and -2x

Step-by-step explanation:

Answer:

The like terms are 4x and 2x.

Step-by-step explanation:

4x and 2x have x as their variable.

Please help me thank you I appreciate it

Answers

Answer:

srt is 33

srq is 66

trq is 33

Answer:

∠SRT = 33°

Step-by-step explanation:

To track what angle they're talking about, connect the letters listed for each angle like connect the dots.

∠QRT is 33°

RT bisects ∠SRQ, meaning it's in the middle of it.

So half of ∠SRQ is 33°, meaning the full angle is double that: 66°

That also means that the other half of the angle is equal to the first half. ∠SRT=33°

PLEASE HELP MY BRAIN IS SQUASHED!!!!

Answers

Answer:

That’s sad. Option c

Step-by-step explanation:

A runner burns 100 Calories for every 15 minutes spent running. How many hours of running would it take for a runner to burn 600 Calories?

Answers

100 calories every 15 minutes
600/100 = 6
6 * 15
90 minutes
Hour and a half
It would take 90 minutes or 1 hour and 30 minutes to burn 600 calories.

600 divided by 100 equals 6. Multiply 6 and 15 and you’ll get 90. So the answer is 90 minutes (1 hour and 30 minutes)

Hope this helped :)


Solve the equation and check your solution.
3x − 6 = 4(2 − 3x) − 8x

Answers

Answer:

x = 14/23

Step-by-step explanation:

3x − 6 = 4(2 − 3x) − 8x

3x − 6 = 8-12x − 8x

3x=14-20x

23x=14

x= 14/23

3(14/23)-6=4(2 − 3(14/23) − 8(14/23)

And solve hope this helps. Remember to isolate the variable when finding x for next time.

The solution to the given equation is x = 14/23.

To solve the equation 3x - 6 = 4(2 - 3x) - 8x, we will simplify and solve for x:

First, let's distribute 4 to the terms inside the parentheses on the right side of the equation:

3x - 6 = 8 - 12x - 8x

Next, let's combine like terms on the right side of the equation:

3x - 6 = -20x + 8

Now, let's bring all the x terms to one side of the equation by adding 20x to both sides:

3x + 20x - 6 = -20x + 20x + 8

This simplifies to:

23x - 6 = 8

Next, let's isolate the x term by adding 6 to both sides:

23x - 6 + 6 = 8 + 6

This simplifies to:

23x = 14

Finally, divide both sides by 23 to solve for x:

x = 14/23

So, the solution to the equation is x = 14/23.

To check the solution, substitute x = 14/23 back into the original equation:

3(14/23) - 6 = 4(2 - 3(14/23)) - 8(14/23)

This simplifies to:

42/23 - 6 = 8/23 - 12(14/23) - 112/23

-132/23 = -132/23

Both sides of the equation are equal, confirming that x = 14/23 is the correct solution.

Learn more about the solution to the equation here:

brainly.com/question/15272274

#SPJ6

PLEASE HELP WILL GIVE BRAINLY!!

In a sequence of numbers, a5 = -9, a6 = -14, a7 = -19, a8 = -24 and a9 = -29. Based on this information, which equation is used to find nth term in the sequenc

Answers

a6 =-14 is the answer. I really need the Brainly

List the multiples of 4 and 7 and identify the LCM. ​

Answers

Answer:

Step-by-step explanation:

4: 4 8 12 16 20 24 28 32 36 40 44 48 52 56

7: 7 14 21 28 35 42 49

lcm is 28

hope this helps <3

Find a · b.
a = 5i + 4j − k, b = −4i + 9k

Answers

Answer

a · b= the square root of b(5i + 4j - k) divided by b

For every 4 stickers it costs 2$ so if I get 50 stickers how much money would I have spent?

Answers

Answer:

25$

Step-by-step explanation:

If 4 stickers cost 2$, then each sticker would cost .50$

50(.5)=25

You would have spent 25$

Answer:

$25

Step-by-step explanation:

For every 2 sticks it's $1, so you divide 50 by 2 and get 25, so it's $25..... I think

I hope this helps!!!

Apollo Spas services 156 hot tubs. If each hot tub needs 105 mL of muriatic acid, how many liters of acid are needed for all of the hot tubs?

Answers

Answer:

16380 mL or 16.380 L

Step-by-step explanation:

1 hot tub requires 105 mL of Acid

156 hot tubs requires 105 * 156 mL of acid = 16380 mL of acid are needed.

16380 / 1000 mL/L = 16.380 Liters.

I need help with this ​

Answers

Answer: 500

Step-by-step explanation: use the equation y=mx+b.

B = cost of the plan per month

X = number of minutes

M = price per minute

The first plan is a flat rate of $25 a month. Whereas the second is $10 plus $0.05 a minute.

Plug in the answers until you get a price that is equal to $25.

Y = 0.05(300) + 10

Y = 25

therefore after 300 minutes the other plan is cheaper

I will mark brainliest and giving 20 points


What is the area of this quadrilateral?
10
OA. 130 square feet
B. 50 square feet
)C. 80 square feet
O D. 30 square feet

Answers

Answer:

C. 80

Step-by-step explanation:

5x10x.5=25

25x2=50

3x10=30

50+30=80

Answer:

C

Step-by-step explanation:

Split the shape into normal shapes such as a rectangle and two triangles

use there formulas for area for each shape

rectangle L x W

10 x 3 = 30

for triangles it’s side a times the base divided by 2

5 x 10 / 2 = 25

so it’s 50 because there is two triangles

add 50 and 30

so it’s 80ft so C

In the diagram ce=12 units and be=5 units based on the given information what is ae?

Answers

Answer:

AE = 12 units

Step-by-step explanation:

ce is the same unit as AE

Answer:

C: 12 units

Step-by-step explanation:

What is the value of 7/3÷5/6

Answers

Answer:

2.8

Step-by-step explanation:

because 7/3 ÷5/6 = 2.8

Someone help me please

Answers

Step-by-step explanation:

i think c is your answer

In 2000, in order to reduce the unemployment rate, France mandated all employers with 20 or more employees to reduce the workweek to 35 hours. Prior to the new law, the unemployment rate in France was 12%. In a random sample of 500 French workers taken a few years after the new law went into effect, 53 workers were found to be unemployed. Using the p-value method, conduct a hypothesis test to determine if the French unemployment rate dropped after the enactment of the 35- hour workweek law. Assume the significance level as 0.05. (7 Points)

Answers

Answer:

We accept H₀ for a CI = 95 % we din´t find differences in the unemployment level

Step-by-step explanation:

p₀  = 12 %     p₀  = 0,12

From sample  p = 53/500     p = 0,106

Test Hypothesis

Null Hypothesis                                      H₀                       p = p₀

Alternative Hypothesis                         Hₐ                       p < p₀

p₀*n  = 0,12*500 = 60

q₀ * n = 0,88 * 500 = 440

Then the binomial distribution can be approximate to a normal distribution

The significance level  α = 0,05     CI = 95 %

We need to develop a one-tail test (to the left ) find p-value and compare it with α.

p(s) = ( p - p₀ ) / √ p*q /n

p(s) = 0,106 - 0,12 / √(0,12)*(0,88)/500

p(s) = - 0,014 / 0,015

p(s) = - 0,93

With this P score we find the area under the bell shape curve

p-value = 0,1762 and compare that area with α = 0,05

Then p-value > 0,05

Therefore we accept H₀

The forces exerted on an object are shown.

A box has an arrow pointing right labeled 6 N and an arrow pointing left labeled F.

If the object moves right, which of the following is a possible value of F?

5 N
6 N
7 N
8 N

Answers

Answer:

So you have a box, with weight Wb and you have a right force of 6N and a left force of Fl

With sum of forces you get that to maintain equilibrium the force Fl must be 6 therfore to maintain moving right the left force must be 5N

Rate positively and give brainlist

Answer:

The answer is 5n

Step-by-step explanation:

Since the force on the right would have to be greater, and the force on the right is 6n, the left force would have to be less. Therefore, the answer is 5n.

What is the elevation of the surf shop?

Answers

Answer: the surf shop was higher and the distance would be 12.8 feet above the ocean surface.

Answer:

The elevation of the surf shop is 12.8

Step-by-step explanation:

I hope this helps

g
What was Ashley's error?
O Ashley should have subtracted 17 to both sides.
Ashley should Inve added 4.5 to both sides.
O Ashley should Jadded 17 to both sides.
O Ashley's work does not have an error.



The answer is B

Answers

Answer:

b

Step-by-step explanation:

Help fast please!!!

6x + 4 = 2x - 12

Answers

6x+4=-12-4
4x=-16
X=-4

14 compact cars at 56% of cars sold that day

Answers

Answer:

4

Step-by-step explanation:

#1) Line j contains points (-3,5) and (6,-1). If line p is PERPENDICULAR to linej,
what is the slope of line p? (Must reduce fraction) *
-3/2
3/2
9/4
- 2/3

Answers

First find slope of line j
(-1-5)/(6+3) = -6/9 = -2/3
Perpendicular = opposite sign and reciprocal slope

Solution: 3/2
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