-
y=2/3x + 2 and passes through the point (12, 6).
Find an equation perpendicular to the line
A. y=-3/2x + 21
B. y=-3/2x +24
C. y= 2/3x + 14
D. y= 2/3x + 8

Answers

Answer 1

Answer:

B. y = -3/2x + 24

Step-by-step explanation:

The perpendicular slope is -3/2x to find the y-intercept use the point given

Plug in

6 = -3/2(12) + b (b = y-intercept)

6 = -18 + b (add 18 on both sides)

24 = b (so)

y = -3/2x + 24


Related Questions

A stack of books is 62 inches high. How high is it in feet and inches?

Answers

Answer:

5 feet and .16667 inches

Step-by-step explanation:

if you where to simplify the inches it would be 2 inches because the 6 next to the 1 is greater then five making the 1 a 2

find the domain of 5x-2

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(negative infinity, positive infinity)

¿Cuál es la desigualdad de 3 x - 4> 4-4-3 x

Answers

3 x - 4> 4-4-3
3x-4>-3
suma 4 a ambos lados:
3x>1
dividir 3 en ambos lados:
x>1/3

What is 5 8/100
as a decimal?
O
A. 5.008
0
B. 5.08
O
C. 5.8
0 D. 58

Answers

Answer:

5.08

Step-by-step explanation:

5   8/100

Since there are 2 zero's in 100, we need two numbers in the top

Replace 8 with 08 which is the same number

5  08/100

Now write as a decimal

5.08

Answer:

B. 5.08

Step-by-step explanation:

[tex]5\frac{8}{100} = \frac{508}{100}[/tex]  508 ÷ 100 = 5.08

I hope this helps!

Solve 27* 9

I will give 100 points!!!!!!

Answers

27 times 9 is 243 if that was your question

27* 9 = 243 there your welcome and bless you

What is the probability that you will get heads no more than once out of 3 flips? P(0 successes) + P(1 success)=

Answers

Answer:

The answer is .5

Step-by-step explanation:

Answer:

The correct answer is 0.5

Step-by-step explanation:

You have to do 0.125 (0 successes) plus 0.375 (1 success). This is equal to 1/2

This is correct on edge.

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Answers

Answer:

3(x-2)+6=6x-9

[tex]3x - 6 +6 =6 x - 9 \\ 3x - 6x = - 9 \\ - 3x = - 9 \\ x = - 9 \div - 3 = 3[/tex]

2. How far does light travel in water in 5.0 X
102 seconds, if the speed of light in water is 3
108 m/s?

Answers

It travels 3637474848362.626 miles a second.

16,1,0,1,16 input x and output y -2,-1,0,1,2

Answers

Answer:

what is the question?

Step-by-step explanation:

q(x)= -2x+1
r (x)=x²+2
Find the value of r r(q (2)).

Answers

Answer:

r(q(2)) = 11

Step-by-step explanation:

given r(x) = x^2 + 2, and q(x) = -2x + 1.

Here is the equation to the composite function:

r(q(x)) = (-2x+1)^2 + 2 = 4x^2-4x+3 .

Then just substitute the input and solve:

r(q(2)) = 4(2)^2- 4(2) + 3 = 16 - 8 + 3 = 16 - 5 = 11

______________________________

Or if you don't like this, first find the answer to q(2) = -2(2) + 1 = -3

Then substitute this value into the second equation r(x).

r(x) → r(-3) = (-3)^2 + 2 = 9 + 2 = 11

I mark as brainliest ​

Answers

Answer:

32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

:)

55 points and Brainliest!

Answers

I believe it's a 45 degree angle

Answer:

Um

Step-by-step explanation:

Laura red 312 page book in 13 hours if she read the same number of pages each hour how many pages did she read i

Answers

Answer:

24 pg per hour

Step-by-step explanation:

Divide 312 by 13, and the result will be 24. Hope it helps!

Answer:

24

Step-by-step explanation:

help ASAP plz and Thankyou

Answers

Answer: B

Step-by-step explanation:

The average cost of a compact car at a certain dealership over the last 10 years has ranged from $15,000 to $24,500. Suppose you were going to plot these points on a coordinate grid. (a) What is a good scale [range] would be good to use for the y-axis to make a nicely sized graph? Explain your reasoning. (b) What is a good interval [step size] would be good to use for the y-axis to make a nicely sized graph? Explain your reasoning. (c) What is a good scale [range] would be good to use for the x-axis to make a nicely sized graph? Explain your reasoning. (d) What is a good interval [step size] would be good to use for the x-axis to make a nicely sized graph? Explain your reasoning. Note: The step size the distance between the marks on the graph, and the range is the maximum and minimum values (ex: -10 to 10).

Answers

Answer:

this is what i did i apologize if i’m late and u no longer need the answer or if i’m wrong

Step-by-step explanation:

identify the first term of the algebraic expression. Indicate whether the term is a variable or a constant term.
5y + 8b

Answers

Answer:

Someone text me on sc queenalyssa_05

Step-by-step explanation:

Answer:5

Step-by-step explanation:

The following table shows the cost of 444 party favor packs. For example, the Slinky costs \$9$9dollar sign, 9 for a pack of 555.
Toy pack Cost (dollars) Quantity
Slinky 999 555
Wind-up robot 161616 888
Yo-yo 151515 666
Emoji beach ball 333 222
Which toy pack has a cost of \$2.50$2.50dollar sign, 2, point, 50 per toy

Answers

Answer:

yoyo

Step-by-step explanation:

Answer: the answer is yo-yo

Step-by-step explanation:

because they say the 6-yo-yo cost 15 dollars. So if you take 6 and multiply it by 2.5 it gives you 15 dollars. Hope this helps

i need an answer help !

Answers

C section part is correct

the range of absolute value
of sinx​

Answers

9514 1404 393

Answer:

  [0, 1]

Step-by-step explanation:

The sine function can take on any value between -1 and 1. Then the absolute value of the sine function will have a range from 0 to 1, inclusive.

In interval form, the range of sin(x) is [0, 1].

lincoln middle school has a total of $200 to spend on notebooks and tablets

Answers

Answer:

Oh um ok. Is there supposed to be like a 2nd part to this??

Step-by-step explanation:

The maximum heart rate is the highest heart rate achieved during maximal exercise. In general, you get the most benefits and reduce the risks when you exercise within your target heart rate zone. Usually this is when your exercise heart rate (pulse) is about 80 percent of your maximum heart rate. The formula M = 0.8 ( 220 − A ) M = 0.8 ( 220 - A ) , gives the recommended maximum heart rate, M M , in beats per minute, for a person who is A A years of age. Determine the age of a person whose target heart rate is 128 beats per minute. The recommended maximum heart rate is 128 beats per minute for a person who is years old.

Answers

Answer:

160 years

Step-by-step explanation:

The formula for the heart rate is given by :

M=0.8 (220−A) ...(1)

M is the maximum heart rate in beats per minute and A is the age in years

Put M = 128 beats per minute in the above formula.

128=0.8(220-A)

160=220-A

A=220-160

A = 160 years

So, the age of person is 160 years if heart rate is 128 beats per munute

Answer:

B

Step-by-step explanation:

Plz give brainliest

A furniture manufacturer makes two types of furniture: chairs and sofas. The production of the sofas and chairs requires three operations: carpentry, finishing, and upholstery. Manufacturing a chair requires 3 hours of carpentry, 9 hours of finishing, and 2 hours of upholstery. Manufacturing a sofa requires 2 hours of carpentry, 4 hours of finishing, and 10 hours of upholstery. The factory has allocated at most 66 labor hours for carpentry, 180 labor hours for finishing, and 200 labor hours for upholstery. The prfit per chair is $90 and the profit per sofa is $75. The manufacturer wants to know how many chairs and how many sofas should be produced each day to maximize the profit.
Formulate a linear programming (LP)problem you would use to find a solution.

Answers

Answer:

Chair  x₁ = 10

Sofa   x₂ = 18

z(max)  = 2250 $

Step-by-step explanation:

Information:

Operation-Profit             Carpentry         Finishing      Upholstery     Profit

                                           hours                 hours              hours             $

Chair (x₁)                                3                        9                      2                90

Sofa  (x₂)                                 2                        4                     10               75

Objective Function z:

z =  90*x₁ + 75*x₂

Constrains:

1.-66 hours of carpentry available

3*x₁ + 2*x₂ ≤ 66

2.- 180  hours of finishing available

9*x₁  +  4*x₂ ≤  180

3.- 200 hours of upholstery

2*x₁  +  10*x₂  ≤ 200

Model:

z = 90*x₁ + 75*x₂    to maximize

Subject to:

3*x₁ + 2*x₂ ≤ 66

9*x₁  +  4*x₂ ≤  180

2*x₁  + 10*x₂  ≤ 200

x₁ >= 0  x₂ >= 0

From simplex method solver we get the answer

x₁ = 10         x₂  = 18       z = 2250

The linear programming model is:

Maximize [tex]\mathbf{Z = 90x + 75y}[/tex]Subject to [tex]\mathbf{3x + 2y \le 66}[/tex], [tex]\mathbf{9x + 4y \le 180}[/tex], [tex]\mathbf{2x + 10y \le 200}[/tex], [tex]\mathbf{x,y \ge 0}[/tex]

Represent sofa with y and chairs with x.

The given parameters are:

Carpentry:

[tex]\mathbf{Chair =3\ hours}[/tex]

[tex]\mathbf{Sofa =2\ hours}[/tex]

[tex]\mathbf{Available = 66\ hours}[/tex]

So, we have:

[tex]\mathbf{3x + 2y \le 66}[/tex]

Finishing

[tex]\mathbf{Chair =9\ hours}[/tex]

[tex]\mathbf{Sofa =4\ hours}[/tex]

[tex]\mathbf{Available = 180\ hours}[/tex]

So, we have:

[tex]\mathbf{9x + 4y \le 180}[/tex]

Upholstery

[tex]\mathbf{Chair =2\ hours}[/tex]

[tex]\mathbf{Sofa =10\ hours}[/tex]

[tex]\mathbf{Available = 200\ hours}[/tex]

So, we have:

[tex]\mathbf{2x + 10y \le 200}[/tex]

The profit is given as: $90 per chair, and $75 per sofa.

So, the objective function is:

[tex]\mathbf{Z = 90x + 75y}[/tex]

Hence, the linear programming model is:

Maximize [tex]\mathbf{Z = 90x + 75y}[/tex]

Subject to

[tex]\mathbf{3x + 2y \le 66}[/tex]

[tex]\mathbf{9x + 4y \le 180}[/tex]

[tex]\mathbf{2x + 10y \le 200}[/tex]

[tex]\mathbf{x,y \ge 0}[/tex]

Read more about linear programming model at:

https://brainly.com/question/13720072

A furniture company is producing three types of furniture. Product A requires 7 board feet of wood and 4 lbs of wicker. Product B requires 5 board feet of wood and 5 lbs of wicker. Product C requires 4 board feet of wood and 3 lbs of wicker. There are 3000 board feet of wood available for product and 1400 lbs of wicker. Product A earns a profit margin of $35 a unit, Product B earns a profit margin of $42 a unit, and Product C earns a profit margin of $20 a unit. Formulate the problem as a linear program.

Answers

Step-by-step explanation:

this is a linear programming problem, and we are expected to draw up the linear program for the solution of the problem.

The objective function is

Maximize

35A+42B+20C=P    

subject to constraints(board and wicker)

The constraints are

  board

7A+5B+4C=3000

 wicker

4A+5B+3C=1400

A>0, B>0, C>0

Jean's bedroom is 13 feet by 11 feet. She has chosen a carpet which costs $29.65 per square yard. This includes installation.

Determine her cost to carpet her room.

Answers

Answer:

The answer is 4239.95

Step-by-step explanation:

First, you would have to do 13x11.

Which will come out to be 143.

Then do 143 times 29.65 to get your answer.

The answer is 4239.95.

Jean's cost to carpet her room is $470.33.

What is the area of the rectangle?

The area of a rectangle is defined as the product of the length and width.

The area of a rectangle = L × W

Where W is the width of the rectangle and L is the length of the rectangle

First, we have to convert the dimensions of the room from feet to yards:

Length in yards = 13 feet / 3 feet per yard = 4.33 yards

Width in yards = 11 feet / 3 feet per yard = 3.67 yards

The area of the room is:

Area = length x width

Area = 4.33 yards x 3.67 yards

Area = 15.86 square yards

The cost per square yard is $29.65, so the total cost is:

Total cost = area x cost per square yard

Total cost = 15.86 square yards x $29.65/square yard = $470.33

Therefore, Jean's cost to carpet her room is $470.33.

Learn more about the area of the rectangle here:

brainly.com/question/20693059

#SPJ2

What is the domain of the function in this table?

X | Y
1 | 2
2 | 4
3 | 3
4 | 2

CHIOCES:
A. (1, 2), (2, 4), (3, 3), 4,2)
B. {1,2,3,4}
C. (1,2)
D. {2,3,4}


PLEASE HELP URGENT

Answers

Answer: B. {1, 2, 3, 4}

Step-by-step explanation:

The domain is the set of input values (in other words, x values)

Approximately how many litres is 70 fluid ounces?

Use the conversion 20 fluid ounces = 1 pint and 134
pints = 1 litre

Answers

It’s 2.07 could I get a brainliest plz and thank you

A giant garter snake is at least 64 inches long. If 1 inch is equal to
2.5 cm, how long is the Giant garter snake in cm?

Answers

Answer:

The snake would equal 160cm.

Step-by-step explanation:

Correct me if im wrong plz

If f(x) = (1\7)(7x), what is f(3)?

Answers

Answer:

3

All the steps are in the picture below.

The length of a rectangle is 10 meters more than the width. If 3 meters is added to both the length and the width, the new area will be 299 square meters. Find the length and width of the original rectangle.
HELP HELP HELP HELP

Answers

Answer:

L = 20

W = 10

Step-by-step explanation:

L = (w + 10)

NL = (w + 13)

Divide 299 by 13:

299 ÷ 13 = 23

So, 23 x 13 = 299

L = 23

W = 13

Subtract 3 from both to get the original length and width

HELP!!!!!!!! I LOVE YOU AND ILL EVEN GIVE BRAIN

Answers

Answer It’s the last choice
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