Put the following equation of a line into slope-intercept form, simplifying all
fractions.
3x + 6y = -42

Answers

Answer 1

Answer:

y = -1/2x -7

Step-by-step explanation:

3x + 6y = -42

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

Subtract 3x from each side

3x-3x+6y = -3x-42

6y = -3x-42

Divide each side by 6

6y/6 = -3x/6 - 42/6

y = -1/2x -7


Related Questions

Find z such that 4.8% of the standard normal curve lies to the left of z. (Round your answer to two decimal places)

Answers

Answer:

The correct answer will be "-1.66".

Step-by-step explanation:

Let z₀ be,

[tex]P(z<z_0)=4.8 \ percent[/tex]

                [tex]=0.048[/tex]

⇒ [tex]\Phi (z_0)=0.048[/tex]

Now,

⇒ [tex]\Phi (-1.6646)=0.048[/tex]

   [tex]z_0=-1.6646[/tex]

       [tex]\simeq -1.66[/tex]

Thus the above is the right answer.

Let sin A = -5/13 with 270 degrees < A < 360 degrees and cos B = -15/17 with 90 degrees < B < 180 degrees find sin (A+B)

Answers

Answer:

Step-by-step explanation:

SAT scores are normally distributed with a mean of 1,500 and a standard deviation of 300. An administrator at a college is interested in estimating the average SAT score of first-year students. If the administrator would like to limit the margin of error of the 82% confidence interval to 25 points, how many students should the administrator sample

Answers

Answer:

The appropriate solution is "259".

Step-by-step explanation:

According to the question,

[tex]\sigma = 300[/tex]

[tex]M.E=25[/tex]

At 82% CI,

[tex]\alpha = 0.18[/tex]

Critical value,

[tex]Z_c=1.341[/tex]

Now,

The sample size will be:

⇒ [tex]n=(Z_c\times \frac{\sigma}{E} )^2[/tex]

By substituting the values, we get

      [tex]=(1.341\times \frac{300}{25} )^2[/tex]

      [tex]=(1.341\times 12)^2[/tex]

      [tex]=259[/tex]

6/5 times 17/18 in lowest terms

Answers

Answer:

17/15

Step-by-step explanation:

6/5 * 17/18

1/5 * 17/3

17/15

We need to multiply 6/5*17/18. 6 x 17 is 102, 5 x 18 is 90. 102/90 can both be divided by 6. This gives us 17/15. 17/15 as a mixed number is 1 2/15.

...............................................................

Answers

You got a question...or..?

a rectangle has an area of 186m2
one of the sides is 3m in length
work out the perimeter of the rectangle
seriously need help

Answers

Step-by-step explanation:

here is the ans

the perimeter= 130m

hope so this might help you

Write an equation of the line through each pair of points in slope-intercept form.
a(– 3,–2) and (–3,4)

b(3,2)and (–4,–5)



Answer and I will give you brainiliest ​

Answers

Answer:

see below

Step-by-step explanation:

a) (– 3, –2) and (–3, 4)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(4 - (-2) / (-3 - (-3))

Simplify the parentheses.

= (4 + 2) / (-3 + 3)

Simplify the fraction.

(6) / (0)

= undefined

If your slope is undefined, it is a vertical line. The equation of a vertical line is x = #.

In this case, the x-coordinate for both points is -3.

Therefore, your equation is x = -3.

b) (3, 2) and (–4, –5)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-5 - 2) / (-4 - 3)

Simplify the parentheses.

= (-7) / (-7)

Simplify the fraction.

-7/-7

= 1

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = 1x + b or y = x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the first point (3, 2). Plug in the x and y values into the x and y of the standard equation.

2 = 1(3) + b

To find b, multiply the slope and the input of x(3)

2 = 3 + b

Now, subtract 3 from both sides to isolate b.

-1 = b

Plug this into your standard equation.

y = x - 1

This is your equation.

Check this by plugging in the other point you have not checked yet (-4, -5).

y = 1x - 1

-5 = 1(-4) - 1

-5 = -4 - 1

-5 = -5

Your equation is correct.

Hope this helps!

Certify Completion Icon Tries remaining:2 A town recently dismissed 10 employees in order to meet their new budget reductions. The town had 7 employees over 50 years of age and 18 under 50. If the dismissed employees were selected at random, what is the probability that exactly 5 employees were over 50

Answers

Answer:

0.055 = 5.5% probability that exactly 5 employees were over 50.

Step-by-step explanation:

The employees are removed from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

7 + 18 = 25 employees, which means that [tex]N = 25[/tex]

7 over 50, which means that [tex]k = 7[/tex]

10 dismissed, which means that [tex]n = 10[/tex]

What is the probability that exactly 5 employees were over 50?

This is P(X = 5). So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 5) = h(5,25,10,7) = \frac{C_{7,5}*C_{18,5}}{C_{25,10}} = 0.055[/tex]

0.055 = 5.5% probability that exactly 5 employees were over 50.

Can someone please help me with this.

Answers

f(a)= -3a+2b

Hope this helps!

write the equation of a line of a line passing through the points (3,1) and (6,3).​

Answers

Answer:

i think its 2 1

Step-by-step explanation:

Answer:

y =2/3x-1

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

   = ( 3-1)/ (6-3)

   = 2/3

The slope intercept form of a line is

y = mx+b  where m is the slope and b is the y intercept

y = 2/3x +b

Using a point

3 = 2/3(6)+b

3 = 4+b

3-4 =b

-1=b

y =2/3x-1

Denver's elevation is 5280 feet above sea level. Death Valley is -282 feet. Is Death Valley located above sea level or below sea level???
(plz answer, due date is semtemper)

Answers

9514 1404 393

Answer:

  below

Step-by-step explanation:

When signed numbers are used to represent elevation with respect to sea level, positive signs are used for values above sea level, and negative signs are used for values below sea level. The given elevation of Death Valley indicates it is 282 feet below sea level.

x=cos(2t), y=sin(2t) find a rectangular coordinate equation for the curve by eliminating the parameter​

Answers

Answer:

x^2+y^2=1

Step-by-step explanation:

Since cos^2(x)+sin^2(x)=1, x^2+y^2=1

Determine the volume of a sphere with a diameter of 5 inches.Use 3.14 for Pi, and round your answer to the nearest inch.

Answers

Answer:

[tex]{ \bf{formular : \: { \tt{volume = \frac{4}{3} \pi {r}^{3} }}}} \\ { \tt{volume = \frac{4}{3} \times 3.14 \times {( \frac{5}{2}) }^{3} }} \\ { \tt{volume = 65.4 \: cubic \: inches}}[/tex]

Answer:

65

Step-by-step explanation:

formula =   4/3 * 3.14* r^3

               = 4/3 * 3.14 * 2.5^3 (radius is half of the diameter)

                    = 65.44985

                     rounded to 65

Match each shape to the number of lines of reflection that will reflect the shape onto itself. Drag the items on the left to the correct location on the right.

Answers

Answer:

rectangle- 2 lines of reflection

trapezoid- 0 lines of reflection

regular pentagon- 5 lines of reflection

square- 4 lines of reflection

Step-by-step explanation:

Please Help! What's the rule that represents the sequence 13, 27, 41, 55, ...?

Answers

the answer is B. an = 13 + 14(n-1)

Answer:

B

Step-by-step explanation:

an = a+(n-1)d

an=13+(n-1)14

d=14

Find the length of the missing side. triangle with an 8 inch side and 12 inch side with a right angle 8.9 in. 104 in. 4 in 14.4 in

Answers

Given:

In a triangle, length of one side is 8 inches and length of another side is 12 inches, and an angle is a right angle.

To find:

The length of the missing side.

Solution:

In a right angle triangle,

[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]

Suppose the measures of sides adjacent to the right angle are 8 inches and 12 inches.  

Substituting Perpendicular = 8 inches and Base = 12 inches, we get

[tex]Hypotenuse^2=8^2+12^2[/tex]

[tex]Hypotenuse^2=64+144[/tex]

[tex]Hypotenuse^2=208[/tex]

Taking square root on both sides, we get

[tex]Hypotenuse=\sqrt{208}[/tex]

[tex]Hypotenuse=14.422205[/tex]

[tex]Hypotenuse\approx 14.4[/tex]

The length of the missing side is 14.4 inches. Therefore, the correct option is D.

Which of the following phrases should not be expressed using a negative number?

Answers

Answer:

its 1900 Bc. Because BC stand for before chirst

Step-by-step explanation:

7(x-9y) need an answer

Answers

Answer:

7x - 63y

Step-by-step explanation:

Given

7(x - 9y) ← multiply each term in the parenthesis by 7

= 7x - 63y

pleaseee i need help!

2 questions in one pleasee 90 points!

Answers

Answer:

A the answer is A if you look at it .

Answer:

The first one is B) point D

The second one is D) (0,0)

Hope this helps!

btw, coordinates are in (x,y) form, so the other answer above me is wrong.

Refer to the values described below, then identify which of the following is most appropriate: discrete random variable, a. Responses to the survey question "How many pets do you have?" b. Exact heights of the next 100 babies born in a region c. Responses to the survey question "What is your eye color?" d. Exact foot length of humans e. Number of people in families a. Since the outcomes are b. Since the outcomes are countable, this is this is a discrete random variable. random variable.

Answers

Answer:

Exact heights of the next 100 babies born in a region.

Step-by-step explanation:

A discrete random variable involves two key factors ; discrete and randomness ; Hence, a discrete random variable should have a finite or countable Number of outputs or values. It should also stem from a random procedure. Here, the height of the next hundred babies is a random procedure as the next 100 babies in the region are unknown until Given birth too and as such all pregnant women have the chance of having their babies among. Since, we are dealing with exact height values which are countable (100), then we this is a discrete random variable.

Under which transformation can the image be a different size than the original
figure?
A. translation
B. rotation
C. dilation
D. reflection

Answers

C. Dilation.

Dilation can resize the image.

Translation will shift the imagine's position but won't change its actual size.

Rotation will mangle with image's orientation but also won't change its size.

Reflection is just a type of rotation which as established, also won't change its size.

Hope this helps.

I need to know the answer and the work it asks for

Answers

Answer:

b 25x6 = 150

25 decreases every month so

150 decreses every 6 month

800-150

650 are the bees remaining after 6 month

(c³d)a(cd⁷)a
Simplify

Answers

Answer:

= c^4 d^8 a^2

Step-by-step explanation:

Apply exponent rule: aa= a^2

= c^3 da^2 cd^7

= c^4 da^2 d^7

= c^4 d^8 a^2

Find the area of the triangle which the line 2x – 3y +6=0 forms with the coordinate axis.

Answers

2x-3y+6=0 has an x intercept of 2 and a y intercept of -3.

That means the 2 sides of the right triangle are 2 and -3

Area of triangle= 1/2×base×height

                         = 1/2×-3×2

                         =-3

∴ Area of the triangle=-3

The area of the asked triangle is 3 sq units.

What is area?

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given that, a triangle is formed by the line 2x – 3y +6=0 and the coordinate axis.

When we plot the graph of the line, we get, y-intercept = 2 and x-intercept = -3

Hence, the height and base of the triangle will be 2 and 3 respectively.

Area of a triangle = 1/2 (base) (height)

Area = 1/2 (2)(3)

Area = 3

Hence, the area of the asked triangle is 3 sq units.

Learn more about areas, click;

https://brainly.com/question/27683633

#SPJ2

Please help, I’m not sure about this question.

Answers

First set F equal to C and set it up as a system of equations

F=C

C=5/9*(F-32)

now plug F in for C and solve for F

F=5/9*(F-32)
9F/5=F-32
9F/5-F=-32
4F/5=-32
F/5=-8
F=-40

F(x) = 4x^3 + 7x^2-2x-1

G(x) = 4x-2

Find (f-g)(x)

Answers

(F-g)(x)=4x^3+7x^2-6x+1

How many millitiers are in 4.55 liters?

Answers

Answer:

v nnv vb n

Step-by-step explanation:

b ng chfxhc.jx.gc,fhxfgfdkhgvn gghcjfuoctykfd mmyegfiuegfypgerukf khergfuoegrfyurgfirge jgreuyofrgiregvoifgr riygfepiygfreu;k frugfyrfbhrevf rrgfbreuobghfre rgeuherhbgerui freurehuregh ruogysfhurgiugwhlerghre rgiuyrge97grukbgr ker ruipuhrgeugregariyarga ;rskfglfsglgsfuifgryrgljs kjger;ugiergs hope this was helpful good luck!

How many millitiers are in 4.55 liters?

Paul baked 208 brown loaves. If the ratio of white loaves to brown loaves is 3:2, how many loaves did he bake in total?
Paul baked 520
loaves.
The owner of a restaurant is placing an order for bread.
On Friday there were 300 customers in the restaurant and 100 bread rolls were served.
On Saturday he is expecting 540 customers.
What would be a good estimate of how many bread rolls should he order? I
Os 2021
A Exit
Back
✓ Mark Question
172.000
13 :
O atv
N
MacBook Air

Answers

Answer:

A. Total=520 loaves

B. Estimate= 180 rolls

Step-by-step explanation:

Sudhanshu is solving a system representing a race between two remote control cars. The variable x is defined as time in seconds, and y is the distance in meters from the starting line.

Red car: y = 3 x + 5. Blue car: y = 4 x.

How many solutions should Sudhanshu find?
zero
one
two
infinite

Answers

Answer:

One

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Solving systems of equations

Step-by-step explanation:

Step 1: Define

Identify systems

y = 3x + 5

y = 4x

Step 2: Solve

If we compare the 2 lines, we can see that they both have a different slope. If they had the same slope but different y-intercepts, then they would be parallel and have no solution. We can also see that the 2 lines aren't the same. If they were, then they would have infinite solutions.

∴ the systems should have only one solution.

Answer:

B

Step-by-step explanation:

A university professor asked his class of 42 students when they had studied for his class the previous weekend. There responses were. please answer part a, b and c

Answers

ANSWERS:

a) 16 students

b) 25 students

c) 2 students

STEP BY STEP:

There are 42 students in total. This question can be solved by "Principal of Inclusion and Exclusion"

Question a)

The students that studied on Sunday in total with overlaps is 30. To figure out the students that ONLY studied on Sunday you need to first minus the overlaps in the combos:

the combos:

3, 10, 6, 2

Since the last combo included all of the other dates, we need to minus it:

1, 8, 4, 2

Now we can use the total of Sunday and minus the combos that includes Sunday:

30 - (4 + 2 + 8)  = 16 students

Question b)

To figure out all the students that only studied on ONE day, not 2 not 3, just one day. We need to figure out the students that studied for Saturday and Friday using the same method before for figuring out Sunday:

Friday: 9 - 4 - 1 -2 = 2 students

Saturday: 18 - 1 - 2- 8 = 7 students

and now add them all together: 2 + 7 + 16 = 25 students

That is the total number of students that studied on one day.

Question c)

Now for the numbers of students that didn't study... We can just use the total to minus everything else!

42 - (25 + 1 + 4 + 8 + 2) = 2 students!!!

And thats all done!  If you still don't get it, please ask!

Other Questions
mention any five strategies related to Road taken by the 13th five year plan. As new firms enter a competitive price-searcher market, profits of existing firms Group of answer choices rise and product diversity in the market increases. rise and product diversity in the market decreases. decline and product diversity in the market increases. decline and product diversity in the market decreases. 18. The maintenance department ordered $3,450 worth of supplies from a valve and fitting supplier. Thesupplier will allow a 15% discount because of the large order. How much will the maintenance departmenthave to pay for the supplies?A. $2,932.50B. $3,398.25C. $3,406.45D. $2,954.50 5. Rectangle ABCD is graphed in the coordinate plane. The following are vertices of the rectangle: A(-1,-6), B(-1,-7), C(1,7), and D(1,-6). Given these coordinates, what is the length of side AB in this triangle? On the lines below, provide the length of the side as well as your reasoning for how you arrived at your answer. At the end of the previous year, a customer owed Days Company $400. On February 1 of the current year, the customer paid $600 total, which included the $400 owed plus $200 owed through February 1st. The journal entry on February 1 is? (Check all that apply.) What volume of each solution contains 0.14 mol of KCl? Express your answer using two significant figures.1.8 M KCl what gender of offspring are most often affected by sextinked inheritance?-What gender-are-usmally-carriers-of the trait?-males, males -males, females -females, females -females, males O O Imagine that you wanted to write a program that asks the user to enter in 5 grade values. The user may or may not enter valid grades, and you want to ensure that you obtain 5 valid values from the user. Which nested loop structure would you use?A. A "for" loop inside of a "while" loopB. A "while" loop inside of a "for" loopC. None of the aboveD. Either a or b would work What two dynasties were able to unite india ? 1) 1. What is the central idea of the article?A People have a large influence over others when they are in a group.B One can avoid a group's influence by staying aware of who they are.C People lose a sense of who they are as individuals when they are in a group.D One can look to group behavior for the cause of some of the worst atrocities in history. Simplify Square root (150n^2) Each of Professor A and Professor B at UTD has a private secretary, who can type four letters per hour. The letters are generated at a rate of three per hour by each of the two professors, who have been wondering if they would benefit from pooling the two secretaries. Perform a queuing analysis. What is the average waiting time of a letter in the system. 3000 dollars is invested in a bank account at an interest rate of 7 percent per year, compounded continuously. Meanwhile, 20000 dollars is invested in a bank account at an interest rate of 5 percent compounded annually.To the nearest year, when will the two accounts have the same balance? 40) what is the area of a rectangular porch measuring 8 ft x 12/f45) Create a stem and leaf plot to represent this set of data.30, 62, 32, 63, 43, 77, 48, 78, 49, 82, 51, 84, 60,please make sure to answer both questions 30 points PLEASE HELP!!!!Find the volume of the pyramid.76.34 ft3458.06 ft3916.11 ft3305.37 ft3 Simplify the expression.7(5 +t) - 4(t + 4)7(5 + t) - 4(t + 4) = [ The inequalities x < -5 and -X > -5 are the same.TrueFalse Which of the following best captures Kants Formula of Humanity as End?a) I ought never to act in such a way that I could not also will that my maxim should become a universal law.b) Act in such a way that you treat humanity, whether in your own person or in any other person, only as an end, never as a means.c) Never make an exception for yourself.d) Act only on that maxim by which you can at the same time will that it should become a universal law.e) Act in such a way that you treat humanity, whether in your own person or in any other person, always at the same time as an end, never merely as means. 2. Which of the following statements is not accurate regarding extrinsic motivation?A. A personal trainer is not considered an example of extrinsic motivation since you are paying for her services.B. Attending a fitness class with your friends is a form of extrinsic motivation,C. Extrinsic motivation can help someone lacking confidence in their ability to complete a workout.D. Extrinsic motivation can help a person overcome a personal lack of motivation.