What is the equation of a line that passes through the point (4, 2) and is perpendicular to the line whose equation is y= x/3−1 ?

Answers

Answer 1
Perpendicular lines have slopes that are opposite and reciprocal. Therefore, the line we are looking for has a -3 slope.
y= -3x+b

Now, we can substitute in the point given to find the intercept.
2= -3(4)+b
2= -12+b
b=14

Finally, put in everything we've found to finish the equation.
y= -3x+14

Related Questions

A subway ride for a student costs $1.25. A monthly pass costs $35.Write an inequality that represents the number of times, x , you must ride the subway for the monthly pass to be a better deal.

Answers

35$ : 1,25$ = 28 Trips


From 29 Trips you have a better deal.

Answer:

1.25x>35

Step-by-step explanation:

If x is the number of times you must ride the subway and the monthly pass is $35, we must determine the expression where the cost per ride is greater than $35. Therefore:

1.25x>35

We can solve x to determine the number of rides you must ride for the monthly pass to be a better deal.

x>35/1.25

x>28

The student must take more than 28 rides for the mothly pass to be a better deal.

John and 3 friends are going out for pizza for lunch. They split one pizza and 4 large drinks. The pizza cost $13.00. After using a $6.00 gift certificate, they spend a total of $13.20. Write an equation to model this situation, and find the cost of one large drink. a. 3d + $13.00 – $6.00 = $13.20; $2.07 b. 4d + $13.00 – $6.00 = $13.20; $1.55 c. 4d – $13.00 + $6.00 = $13.20; $6.73 d. 4d + $13.00 – $6.00 = $13.20; $1.60

Answers

The large drink will cost 1.55. 

 4d +13.00 -6.00 = 13.20

4d = 7.00 = 13.20

4d = 6.20

d - 6.20/4 =1.55


 answer is B

What is 16% of 43 minutes

Answers

6.88 i hope this helps u

Answer:

16% of 43 minutes are 6.8 minutes.

Step-by-step explanation:

To know the percentage of a quantity first you should divide the percentage by a hundred, then you should multiply the quantities, as follows.

1. Calculate the percentage:

[tex]\frac{16}{100}=0.16[/tex]

2. Multiply the percentage by the quantity:

[tex]0.16*43=6.88[/tex]

Therefore 16% of 43 minutes are 6.8 minutes.

In the diagram below, ∠Q is bisected.



Find the perimeter of ΔPQS.

Answers

In any triangle, when the bisector of a given angle intercept the opposite side in S, we have the following proportionality: (am taking your triangle)

QP/QR = SP/SR

To be able to calculate the perimeter we need to know SP, which can be extracted from the formula QP/QR = SP/SR

QP/QR = SP/SR → 36/15 =SP/11  ; SP = (11x36)/15 = 26.4

And the perimeter is : 36+15+ (11+26.4) = 77.4 units
 

Why are black people always watched so closely at a liquor store?

Answers

Because the people that watch are stuuuuuuppppiiiiiiiddddd. Stereotypes are the worst.
Racial profiling. 
A lot of people assume that because of the forced situations blacks have been in the past, that they're all bad people. Which is not always true. Although black people can still steal(like any other capable human being), so can white people. And hispanics, and middle easterns. But based on the history of America, specifically, black people have been the most common to shoplift or vandalize. But that was in the past, anyone today can easily steal a bottle of beer or a pack of gum from any store just like everyone else. I think the issue is that most priveledged people haven't let go of the past. Or at least what the media filtered as the past.




Hope this helps. :)

The price of grapes at the grocery store is $1.44 per pound. There are approximately 0.45 kilograms in a pound. To the nearest cent, what is the price of grapes in dollars per kilogram?

Answers

1 lb / 0.45 = 2.22

 so approximately 2.22 kilograms per pound

 divide price per pound by kilometers per pound

1.44 / 2.22 = 0.648

 round to 0.65, so it costs $0.65 per kilogram

Answer:

1 lb / 0.45 = 2.22

so approximately 2.22 kilograms per pound

divide price per pound by kilometers per pound

1.44 / 2.22 = 0.648

round to 0.65, so it costs $0.65 per kilogram

Step-by-step explanation:

got it right on the quiz

Isabella competed in a triathlon. She completed the swimming event in 12.9 minutes, the biking event in 13.05 minutes, and the running event in 23.125 minutes. What was Isabella’s total time in the triathlon?

Answers

HEY THERE!!!!!!!!!

Add up (12.9 + 13.05 + 23.125)


12.9 + 13.05 + 23.125
     25.95 

25.95 + 23.125
    49.075

Answer:
49.075 minutes


HOPE I HELPED!!!!!!!!!!!!!!!!!!!! 

P.S. If you need anymore help do not hesitate to ask!!!!!

Answer:

49.075 minutes

Step-by-step explanation:

Your welcome :]

What is f(–3) if f(x) = |2x – 1| – 5?

Answers

To answer this question, plug -3 in for X : (Remember that the | symbol means absolute value)
f(-3) = |2x - 1| - 5
f(-3) = |-6 - 1| -5
f(-3) = |-7| - 5
f(-3) = 7 - 5             Absolute value of -7 = 7
f(-3) = 2
if f(x) = |2x – 1| – 5
f(-3)  = |2(-3) – 1| – 5
f(-3)  = |-6 - 1| - 5
f(-3)  = |-7| - 5
f(-3)  = 7 -5
f(-3)  = 2

What is 7 feet converted to miles?

Answers

Answer:

Step-by-step explanation:

Use the factor-label method you learned in chemistry (also known as dimensional analysis), keeping in mind 2 things:

the label you want needs to be on the top of the equivalent ratio, and

that there are 5280 feet in 1 mile.  Having said that:

[tex]7feet*\frac{1mile}{5280 feet}=[/tex]

The math tells us to divide 7 by 5280.  That means that

7 feet = .0013257576 miles, to however many decimal places you need.  That 7575 is repeating, btw.

If h(x)= 5 for the function h(x)= 2x+1, what is the value of x?

Answers

The value of x is equal to 2. 2 times 2 will give you four. if you add one to the product, you get 5

if a = 0.6(the 6 repeating) and b= 0.75, then a·b= (blank) and a/b=(blank)

Answers

0.6666 (repeating) x 0.75 = 0.5

0.6666 (repeating) / 0.75 = 0.8888888 (repeating)

Solve 2a − 5d = 30 for d

Answers

2a - 5d = 30....subtract 2a from both sides
-5d = -2a + 30....divide both sides by -5
d = (-2a + 30) / -5 or d = 2/5a - 6

Which statements describe acceleration? Check all that apply.
Negative acceleration occurs when an object slows down in the positive direction.
Negative acceleration occurs when an object slows down in the negative direction.
Negative acceleration occurs when an object speeds up in the negative direction.
Positive acceleration occurs when an object speeds up in the positive direction.
Positive acceleration occurs when an object speeds up in the negative direction.
Positive acceleration occurs when an object slows down in the negative direction.

Answers

Final answer:

Acceleration determines whether an object speeds up or slows down, which can be positive or negative based on the direction of motion and the chosen coordinate system. Negative acceleration occurs when an object slows down while moving in the positive direction or speeds up while moving in the negative direction. Positive acceleration occurs when an object speeds up in the positive direction or slows down in the negative direction.

Explanation:

Acceleration is the rate of change in velocity, and it can be characterized as positive or negative depending on its direction relative to a chosen coordinate system. Understanding acceleration involves recognizing how it affects an object's speed in relation to its direction of motion. Let's clarify which statements describe acceleration correctly.

Negative acceleration occurs when an object speeds up in the negative direction or when an object slows down in the positive direction.Positive acceleration occurs when an object speeds up in the positive direction.

It is important to distinguish between speeding up, slowing down, and the sign of acceleration. For example, if we assume rightward motion is positive:

An object moving to the right (positive direction) and slowing down has negative acceleration.An object moving to the left (negative direction) and speeding up also has negative acceleration.Contrarily, an object moving to the left and slowing down has positive acceleration.

Summarizing these principles:

Negative acceleration occurs when an object slows down in the positive direction.Negative acceleration occurs when an object speeds up in the negative direction.Positive acceleration occurs when an object speeds up in the positive direction.Additionally, positive acceleration occurs when an object slows down in the negative direction.

This understanding can help distinguish between deceleration, which always indicates slowing down, and negative acceleration, which may increase speed if the velocity is also negative.

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Y= f(x) 16x find f(x) when x= 1/2

Answers

Final answer:

The value of f(x) when x = 1/2 is 8.

Explanation:

To find the value of f(x) when x = 1/2, we need to substitute x = 1/2 into the equation y = f(x) = 16x.

Substituting x = 1/2, we get y = f(1/2) = 16(1/2) = 8.

Therefore, f(1/2) = 8.

The quotient of a number and 4​, minus 1​, equals 5/4. find the number

Answers

Hope this helps
(x/4) - 3 = 5/4 

x/4 - 12/4 = 5/4 

x - 12 = 5 

x = 17

Final answer:

The equation (x / 4) - 1 = 5/4 is solved by isolating x and simplifying, which reveals that the number sought is 9.

Explanation:

To solve the equation where the quotient of a number and 4, minus 1, equals 5/4, we can set up the following algebraic expression:

Let x = the number we want to find.

Now, we translate the problem into an equation:

(x / 4) - 1 = 5/4

To find the value of x, follow these steps:

Add 1 to both sides of the equation to get the fraction by itself:
(x / 4) - 1 + 1 = 5/4 + 1

Simplify both sides:
(x / 4) = 5/4 + 4/4

Add the fractions on the right side:
(x / 4) = 9/4

Multiply both sides of the equation by 4 to solve for x:
4 * (x / 4) = 4 * (9/4)

Simplify both sides:
x = 9

Therefore, the number we are looking for is 9.

Sequence 13, 39, 65, 91,

Answers

hum, multiply by 3? nope
hmmm, add 26? yep

the sequence is
[tex]a_n=a_{n-1}+26[/tex]  when [tex]a_1=13[/tex]
or
[tex]a_n=13+26(n-1)[/tex] or [tex]a_n=26n-13[/tex]

Find the special product (5s-3)^(2)

A. 10s2 - 9
B. 25s2 -30s - 9
C. 25s2 - 9
D. 25s - 9 30x + 9

Answers

Use the formula: (a - b)^2 = a^2 - 2ab + b^2.

=> (5s - 3)^2 = (5s)^2 - 2(5s)(3) + (3)^2 = 25s^2 - 30s +9

The list of options is mistyped, so you must use the right list of choices and find which is 25s^2 - 30s + 9.

Answer: 25s^2 - 30s + 9

The Opera House sells an average of 1,700 tickets per night when the price of each ticket is $25. An employee of the Opera House noticed that with every one-dollar decrease in the cost of each ticket, the number of tickets sold increased by 200 tickets. Write an equation that could be used to determine the number of one-dollar decreases, x, that would yield a revenue of $55,000.

Answers

Final answer:

To determine the number of one-dollar decreases that would yield a revenue of $55,000, set up the equation (1,700 + 200y) * (25 - x) = 55,000 and solve for x.

Explanation:

To determine the number of one-dollar decreases, x, that would yield a revenue of $55,000, we can set up an equation based on the given information.

Let y be the number of one-dollar decreases and (1,700 + 200y) be the number of tickets sold. The revenue can be calculated by multiplying the number of tickets sold by the price of each ticket. So in this case, the equation can be written as:

(1,700 + 200y) * (25 - x) = 55,000

Now we can solve this equation to find the value of x.

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What is the measure of ∠ABC?



Enter your answer in the box.

Answers

ABC=95 I am not very good at these but I tried

The measure of the angle ∠ABC will be 95 degrees.

What is a quadrilateral?

A quadrilateral is a shape made up of four sides having the sum of the angles 360 degrees. The given shape is like a parallelogram in which two sides are equal and at the same angles.

Given that angle A in the quadrilateral is 85 degrees. The value of the angle B will be calculated as:-

∠A + ∠B +∠C + ∠D = 360

85 + ∠B + 85 + ∠B = 360        ∠B = ∠D

170 + 2∠B = 360

2∠B = 360 - 170

2∠B = 190

∠B = 190 / 2

∠B = 95

Therefore, the measure of the angle ∠ABC will be 95 degrees.

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Deshawn multiplies 236 by 9. Which are the three partial products he could add to find the final product?

Answers

Let's multiply
6 × 38 in parts,
writing the
numbers under
each other.3  8
×     6

4  8 First multiply
6 × 8.3  8
×     6

4  8
1  8  0
Then multiply 6 × 30 and
write the result under the 48.
Remember, the "3" is in the
tens place in the number 38
so it actually means 30.3  8
×    6

4  8
+ 1  8  0

2  2  8Lastly, add.

Write the ratio of dogs to cats in simplest form. 12 dogs, 16 cats

Answers

12 dogs, 16 cats = 3 : 4.

Evaluate the numerical expression. 4.2 − 3.5 ÷ 0.7 + 2.4 A) −3.2 B) 1.6 C) 11.6 D) 3.4

Answers

4.2 − 3.5 ÷ 0.7 + 2.4
= 4.2 − 5 + 2.4
= -1.6

answer
- 1.6

4.2 -3.5/0.7+2.4

 order of operations, do division first

-3.5/0.7 = -5

now you have:

4.2-5 +2.4

 now just add/subtract from left to right

4.2-5 = -0.8 + 2.4 = 1.6

Answer is B

What number can you add to √7 to get a rational number?



−7√

7√

7

0

Answers

The only number you can add to √7 to get a rational number is a-√7 where a is any rational number.
So if a=0 the answer is -√7, option answer 1.

If you need how many days between two dates what function should be used

Answers

You have to do this piecemeal so there isn’t a single formula. The best way is to convert each date using a common frame of reference. Dates before October 1582 used a different calendar. Also the distance between leap years varies. It’s normally 4 years but it can be 8 years. For example, 2100 is not a leap year but 2096 and 2104 are both leap years. Similarly 1896 and 1904 but not 1900. Before October 1582 leap years occurred exactly 4 years apart.
Your next problem is to work out the day number from the beginning of the year. On average there are between 30.4 and 30.5 days in a month, but this is only an approximation because the length of each month varies. So to aid in the calculation you need a table which gives you the day number for every date in the year, and the table is different for leap years.
So, you start by subtracting the years and counting how many leap years there are between. You consult the day number table for working out how many days there are from the beginning of the year.
Another way is to have a smaller table with just the months, so in a non-leap year Jan 1 would be 1, Feb 1 would be 32, Mar 1 would be 60, Apr 1 would be 91, and so on. Then we have to add in the day date. Mar 20 would be 19 days after Mar 1 so would have a day number of 79, not 80. Some diaries and calendars include the day number.
You can speed up the calculation by using one day number table or calculation and then adding in a day for each leap year between two dates. I hope this helps.
Final answer:

To calculate the number of days between two dates, subtract the start date from the end date and add 1.

Explanation:

To find the number of days between two dates, you can use the formula:

Number of days = (End date) - (Start date) + 1

For example, if the start date is July 10, 2022, and the end date is July 15, 2022, the number of days between them would be:

Number of days = (15) - (10) + 1 = 6

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((WILL MARK BRAINLIEST))

what is the equation of this graphed line (in slope intercept form)

thank you!

Answers

slope =

7- - 2 =9

8-0 = 8

slope = -9/8

y intercept = 7

equation: y=-9/8x+7

WILL MARK BRAINLIEST ANSWER
2x^2+20x=-38
show work

Answers

2x^2+20x = -38

2x^2 + 20x + 38 = 0

Divide both sides by 2.

x^2 + 10x + 19 = 0

The quadratic formula works very well here.

Let a = 1, b = 10 and c = 19

x = [-b +- sqrt{b^2 - 4ac}]/(2a)

Plug those values into the formula to find two answers for x.

One is negative and the other positive.

Good luck.
Move 38 to the left side of the equation by adding it to both sides.
2x ^2 + 20x + 38 = 0
Use the quadratic formula to find the solutions.
−b±√b^2 − 4 (ac)/2a
Substitute a = 2, b = 20, and c = 38 into the quadratic formula and solve for x.
−20±√20 ^2 − 4⋅(2⋅38)/2⋅2
Simplify. x = −5±√6
The result can be shown in both exact and approximate form.
x = −5±√6
x ≈ −2.55051025, −7.44948974

how can you use a number to explain what an integer and rational number are??

Answers

The terms even and odd only apply to integers; 2.5 is neither even nor odd. Zero, on the other hand, is even since it is 2 times some integer: it's 2 times 0. To check whether a number is odd, see whether it's one more than some even number: 7 is odd since it's one more than 6, which is even.

Another way to say this is that zero is even since it can be written in the form 2*n, where n is an integer. Odd numbers can be written in the form 2*n + 1. Again, this lets us talk about whether negative numbers are even and odd: -9 is odd since it's one more than -10,which is even.

which function represents a vertical stretch of an exponential function

Answers

vertical stretch means the graph stretches upward, rising more rapidly than the original, the graph is steeper than the original. 

TDC, Inc's . net profits were $-2000 each month last year . What was TDC's net profits for the year ?

Answers

2000*12 is the answer 

The TDC's net profits for the year were -$24,000 if TDC, Inc's. net profits were $-2000 each month last year option (A) is correct.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

TDC, Inc.'s net profits were $-2000 each month last year.

Let x be the net profit for the year

As we know there are 12 months in 1 year.

So the net profit:

x = $-2000×12

x = -$24,000

Thus, the TDC's net profits for the year were -$24,000 if TDC, Inc. net profits were $-2000 each month last year option (A) is correct.

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The function f(x)= -6x+11 has a range given by {-37,-25,-13,-1}.Select the domain values of the function from the list 1,2,3,4,5,6,7,8. explain how you arrived at your answer

Answers

The range is {-37,-25,-13,-1}. So you need to figure out what four numbers from this list of numbers (1,2,3,4,5,6,7,8), when applied to this
function, ( f(x)=-6x+11 ), equals these numbers that are in the range {-37,-25,-13,-1}.

So you apply each of these numbers (1,2,3,4,5,6,7,8) into the function (f(x)=-6x+11)
one by one.

f(1)=-6(1)+11=5
f(2)=-6(2)+11= -1
f(3)=-6(3)+11= -7
f(4)=-6(4)+11= -13
f(5)=-6(5)+11= -19
f(6)=-6(6)+11= -25
f(7)=-6(7)+11= -31
f(8)=-6(8)+11= -37
As you can see, f(2),f(4),f(6),and f(8) equal the numbers that are in the range {-37,-25,-13,-1}.

The domain of the given function f(x)= -6x+11 for the given range is

{2,4,6,8}

Given :

The function f(x)= -6x+11  

range given by {-37,-25,-13,-1)

Range is the f(x) values . Domain are the x values .

To find out domain , we substitute the values of f(x) that is range and solve for x

First we substitute -37 for f(x) in the given function and solve for x

[tex]f(x)= -6x+11 \\x=-37\\-37=-6x+11\\-37-11=-6x\\-48=-6x\\x=8[/tex]

Now substitute -25 for f(x)

[tex]x=-25\\-25=-6x+11\\-25-11=-6x\\-36=-6x\\x=6\\\\\\x=-13\\-13=-6x+11\\-13-11=-6x\\-24=-6x\\x=4\\\\\\x=-1\\-1=-6x+11\\-1-11=-6x\\-12=-6x\\x=2[/tex]

x values are the domain

Domain is {2,4,6,8}

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