hich equations are equivalent to y = two-thirds x minus 4 when written in slope-intercept form? Check all that apply. 3 x minus 2 y = 4 2 x minus 3 y = 12 Negative 4 (2 x minus 3 y) = negative 4 (12) 2 (x + 6) = 3 y 2 x minus 3 y = 4

Answers

Answer 1

Answer:

[tex]2x - 3y = 12[/tex]

[tex]-4(2x - 3y) = -4(12)[/tex]

Step-by-step explanation:

Given

[tex]y = \frac{2}{3}x - 4[/tex]

Required

Equivalents of the given equation;

We start by multiply both sides of the equation by 3

[tex]3* y = 3(\frac{2}{3}x - 4)[/tex]

[tex]3y = 3 * \frac{2}{3}x - 3 * 4[/tex]

[tex]3y = 2x - 12[/tex] ---- Equation 1

Subtract 3y from both sides

[tex]-3y + 3y = 2x - 12 - 3y[/tex]

[tex]0 = 2x - 12 - 3y[/tex]

Add 12 to both sides

[tex]12 + 0 = 2x - 12 - 3y + 12[/tex]

[tex]12 = 2x - 3y[/tex]

Rearrange:

[tex]2x - 3y = 12[/tex] ---- This is equivalent to the given equation;

Multiply both sides of the above equation by -4

[tex]2x - 3y = 12[/tex]

[tex]-4(2x - 3y) = -4(12)[/tex]  ---- This is also equivalent to the given equation;

From the list of given options, only these two are equivalent to [tex]y = \frac{2}{3}x - 4[/tex]

Answer 2

Answer:

Answer:

Step-by-step explanation:

Given

Required

Equivalents of the given equation;

We start by multiply both sides of the equation by 3

---- Equation 1

Subtract 3y from both sides

Add 12 to both sides

Rearrange:

---- This is equivalent to the given equation;

Multiply both sides of the above equation by -4

 ---- This is also equivalent to the given equation;

From the list of given options, only these two are equivalent to

Step-by-step explanation:


Related Questions

Find last​ year's salary​ if, after a 4 % pay​ raise, this​ year's salary is $ 33,280.

Answers

Answer:

32000

Step-by-step explanation:

1.04x=33280

32000

If the radius of a cone is 3 cm and a height of the Cone is 8 cm what is the surface area

Answers

Answer:

24

Step-by-step explanation:

if the radius is 3 cm and the height is 8 cm we would multiply3 x 8 = 24so the answer is 24

Which of the following is the graph of y= -x-3?

Answers

Answer:

Step-by-step explanation:

Scott found the area of the shape to
be 30 square units. If he used a unit
square with longer sides, would his
area measurement be greater than
30 square units or less than 30 square
units? Explain.​

Answers

Answer:

So if we do this to the area of Scott's shape, the result will be less than 30 squares units.

Step-by-step explanation:

If a shape has "x" square units, it means that we can fit that number of squares with side length of one unit in that given shape. For the case where we change the unit, we are changing the length of the square's sides, if the new one has greater sides, then it means that the square is bigger, therefore for the same shape we will be able to fit less squares. So if we do this to the area of Scott's shape, the result will be less than 30 squares units.

The table below represents a proportional relationship. The unit rate of the relationship is

Answers

Answer:

the unit rate is 3

QUESTION 3 (3 points)
Convert the following quadratic into standard form. Show all work.
f(x) = 3(x - 5)² - 40​

Answers

Answer:

3x^2- 30x+35=f(x)

Step-by-step explanation:

3(x^2+25-10x)-40

3x^2+75-30x-40

3x^2- 30x+35=f(x)

A 39 foot ladder is resting against a wall that is 36 feet high. What is
the distance between the base of the ladder and the bottom of the wall?
5 feet

10 feet

15 feet

Answers

Answer:

11

Step-by-step explanation:

In a school there are 300 students 90 of them are male students. Find out the percentage of female students.​

Answers

Answer:

70%

Step-by-step explanation:

Total students = 300

Male students = 90

Female students = 300 - 90 = 210

Percentage of female students

[tex] = \frac{210}{300} \times 100 \\ \\ = \frac{210}{3} \\ \\ = 70\%[/tex]

Answer:

70%

Key Points:

Total Students: 300Male Students: 90

Unknowns:

Male Student PercentageFemale Student CountFemale Student Percentage

We are given the overall amount of students as well as the male students. Using these, we can determine how many females are in the school.

300 overall students - 90 male students = ____ female students

Simplify.

Given our above equation, we now know that there are 210 female students at the school.

In order to find the percentage of females at the school, we must divide the female students by the overall size of the school.

[tex]\frac{210}{300} = ?[/tex]

Our next step is to grab a calculator and input 210 ÷ 300. You can alternatively use the long division method but a calculator would work best. After calculating, your answer should come out to be 0.7

Now, you need to multiply it by 100 so that you can create a percentage.

0.7 × 100 = 70%

Therefore, 70% of the students are female.

Checking our work:

A great way to ensure that your answer is correct is by checking your work. We can do this by finding the percentage of male students and adding it to the percentage of female students.

If 70% is the correct percentage for female students, the male and female percentages should add up to 100%

Finding the male percentage:

Similar to how we found the percentage of females at the school, we must  divide the male students by the overall size of the school. Reminder: there are 300 students and 90 of them are male.

[tex]\frac{90}{300} = ?[/tex]

Again, you should pull out your calculator and input 90 ÷ 300. This should give you 0.3

Next, multiply your answer by 100 to get our percentage.

0.3 × 100 = 30%

Knowns:

Female Percentage: 70%Male Percentage: 30%

Add the female percentage with the male percentage: 70% + 30% = 100%

As predicted, our answer was 100%. Therefore, 70% of the students are female.

Learn more about solving for percentages by reviewing these answers!

⊕ https://brainly.com/question/26352729

⊕ https://brainly.com/question/25827141

⊕ https://brainly.com/question/28144590

What is the value of the rational expression below when xis equal to 3?
17 + x/x+2
A. 4
B. 3.4
C. 10
O D. 8.5

Answers

The answer is A
Step by step
4.3454

Answer: A

Step-by-step explanation:


HELP ME PLEASEEEEEEEEE

Answers

Answer:

x=24

Step-by-step explanation:

Hope this helps

Answer:

24°

Step-by-step explanation:

Take 2 lol

Once again, AOC is a straight angle, meaning it's 180°.

All you have to do is 180° - 156° and you'll get 24°, your answer.

Please help me solve this puzzle.

Answers

Step-by-step explanation:

marmiad=10

trident=6

pearls =4

10+6×4

=16×4

=64

hey!!

Answer:34

Step by step explanation:

4+4+4=12

4+4+10=18

6+10+10=26

10+6*4=34

hope it helps..

- B is the midpoint of line segment AC. If AB = 3x - 8 and BC = x + 12, find the value of x.

Answers

Answer:

x = 10

Step-by-step explanation:

Since B is the midpoint of segment AC, then AB = BC.

AB = BC

3x - 8 = x + 12

2x - 8 = 12

2x = 20

x = 10

As per the given information, the value of x is 10. For understanding, check the calculations provided below.

Midpoint

A midpoint is a point that divides a line into two parts equally.

In the given diagram,

B is the midpoint of line segment AC. Midpoint B divides the line segment AC equally.

When a midpoint B divides equally then AB = BC

Given that,

AB = 3x-8 and BC = x+12

B is the midpoint of line segment AC.

So,

AB = BC

Substitute the expression and solve for x

AB = BC

3x-8=x+12

Subtract x,

⇒ 3x-x-8 = x-x+12

⇒ 2x-8=12

Add 8

⇒ 2x = 12+8

⇒ 2x = 20

divide by 2

∵ x = 10

Thus, the value of x is 10.

Learn more information about 'Midpoint' here:

brainly.com/question/4747771

what is the measure of DAB

Answers

Answer: 126

Explanation:
61+65=126
180-126=54
180-54=126
Therefore DAB=126

It's known as exterior angle theorem...The sum of angleB + angle C is equal to angle DAB....

That means 65+61 = 126...

Angle DAB =126

1. Trevor's fitness trainer recommends that Trevor drink 8 fluid ounces
of water 8 times a day. Trevor has a water bottle that holds 1 1/4 pints
of water when filled. Today, he has filled the water bottle three times
and drank all of the water each time. Trevor claims that he drank the
total amount of water recommended by his fitness trainer. Explain
why Trevor's claim is not true. (Remember 8 ounces = 1 cup; 2 cups
1 pint)
=

Answers

Answer: Trevor drinks 3 3/4 pints against his coach's 4 pints

Step-by-step explanation:

8 ounces per day x 8 times = 64 ounces = 8 cups = 4 pints

Water bottle holds 1 1/4 pints x 3 = 3 3/4 pints.

Jordan invested $8,500 in an account paying an interest rate of 4.1% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $13,070?

Answers

Answer:

52 days

Step-by-step explanation:

if compounding daily we can see what 1 year accumulates using the function

360 / interest rate = 360/4.1 = 87.8048780488 = 87.80 per day

We can use inverse of the balance profit to use the exact amount difference to then divide into the date of withdrawal

$13070- 8500 = 4570

4570/ 87.8048780488 = 52.04 = 52 days.

is it possible to make a quadrilateral with any four dots as corners?

Answers

Answer:

Yes it is possible, given with 4 dots, lets say were set anywhere within a page or anywhere upon a circumference of a circle even. We can draw 4 straight lines to meet each corner and call this a quadrilateral.

Step-by-step explanation:

Squares, Rectangles and Rhombuses are all Parallelograms and squares and rectangles are regular quadrilaterals!

So any other 4 sided shape that is quadrilateral could be made.

The picture below shows all branches of quadrilaterals.

Answer:

No

Step-by-step explanation:

No.

For example, if all 4 dots are on a line, then the 4 dots do not make a quadrilateral.

Answer: No

Hi All,

I have some Maths Questions for you all to have a look at.

Please answer - I am giving 20 points!

I will mark Brainliest as well.

Take care,

Jake

Answers

Answer: i hope this is correct take care

Step-by-step explanation:

Identify a transformation of the function f(x) = sqrt(x) by observing the equation of the function g(x) = sqrt(x) + 1

Answers

Answer:

up 1

Step-by-step explanation:

The plus one is on the outside so it is up the number which is one

find the nearest two positive coterminal angles and the nearest two negative coterminal angles for 420°

Answers

Answer:

Positive Coterminal Angles = 60°,780°

Negative Coterminal Angles = -300°, -660°

Step-by-step explanation:

Positive Coterminal Angles:

To find nearest two coterminal angle of 420°:

1) Subtract 360° from 420°:

420°- 360° = 60° (First Positive Coterminal Angle)

2)Add 360° to 420°:

420°+ 360° =780° (Second Positive Coterminal Angle)

Negative Coterminal angles:

To find nearest two negative coterminal angles of 420°. We' lave to take the value below 0.

1) Substract 360° from 420°

420°- 360° = 60°

Which is still a positive value.

2) Again Substract 360° from 60°

60°- 360° = -300° (First Negative Coterminal Angle)

3)Subtract 360° from -300°

-300°- 360° = -660° (Second Negative Coterminal Angle)

Duane recorded the temperature outside his window one morning. On the second day,
the temperature went up 7 degrees. On the third day, the temperature went down 10 degrees.
On the fourth day, the temperature went down 6 degrees, and it was 1°F.
What was the temperature on the first day?

A. 0°F
B. 17°F
C. 10°F
D. 7°F

Answers

Answer:

C

Step-by-step explanation:

[tex]day 2 = +7\\\\day3 = -10\\\\day 4 = -6\\\\FinalDay = 1[/tex]

so [tex]start +7 -10-6 = 1\\ \\start = 10[/tex]

11. An airline charges $20 to check a piece of luggage up to 23 kilograms. For excess weight, it charges $5 more per kilogram. The airline rounds up to the next whole kilogram (a piece of luggage weighing 24.1 kg would be charged as 25 kg). The airline doesn't accept luggage over 32 kg. Which of the graphs below represents this information as a function?

Answers

Answer:

i believe it is b

Step-by-step explanation:

If the bill is $47.96 and you leave a 15% tip, what is the tip amount?​

Answers

Answer:

7.19 is the tip

Step-by-step explanation:

Take the amount of the bill and multiply by the tip percentage

47.96 * 15%

Change to decimal form

47.96 * .15

7.194

Round to 2 decimal places

7.19

Answer: $7.19

Step-by-step explanation:

15/100 = 0.15

We only want the tip, not the total cost:

Do 0.15 * $47.96 to get about $7.19

Which expression best estimates 6 and three-fourths divided by 1 and two-thirds? 7 divided by 2 6 divided by 1 8 divided by 3 3 divided by 2

Answers

Answer:

[tex]4\frac{1}{20}[/tex]

Step-by-step explanation:

[tex]6\frac{3}{4} \div 1\frac{2}{3}[/tex]

[tex]\frac{27}{4} \div \frac{5}{3}[/tex]

[tex]\frac{27}{4} \times \frac{3}{5}[/tex]

[tex]\frac{27 \times 3}{4 \times 5}[/tex]

[tex]=\frac{81}{20}[/tex]

[tex]=4\frac{1}{20}[/tex]

Answer:

7 divided by 2

Step-by-step explanation:

Can someone please help me answer this question?

Answers

Answer:

132.5 inches

Step-by-step explanation:

The area of a triangle is 1/2 base height. the area of a rectangle is base height. Applying those principles gives us two equations: 8.5 x 10 / 2, and 9 x 10

then we have 42.5 and 90. in order to find the entire figure, they must be added so 42.5 plus 90 is 132.5. make sure to add the unit!

Answer:

Step-by-step explanation:

Triangle area

A=h_b*b/2

=8.5*10/2

=42.5in^2

Rectangle area

A=lw

=9*10

=90

Add all together

42.5+90

=132.5in^2

Find the slope of the line that passes through the given points.
(9,1) and (9,5)

Answers

The answer is 4/0 or indefinite.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

The answer is undefined

Hope I helped a little

Choose the product. -6 p3 (3 p2 + 5 p - 1)

Answers

Answer:

-18p^5 - 30p^4 + 6p^3

Please help
will give brainliest (if I can)
If the intercepts of a line are (a, 0) and (0, b), what is the slope of the line?

Answers

Answer:

a−b=aa=1

Step-by-step explanation:

Since the graph of the linear function f has intercepts (a,0) and (0,b), the two points satisfy the function. Therefore, the slope becomes a−b=aa=1, which is positive.

Solve |x+2|=10

A {-8,8}
B {-12,8}
C {-12,12}

Answers

The correct answer is B.


Factor 16 x2 + 24 x + 9.

(16 x + 3)( x + 3)
(4 x + 3)(4 x - 3)
(4 x + 3) 2

Answers

Answer:

Step-by-step explanation:

(4x + 3)(4x+3) is the factor

the third one is the solution

Which of the following functions is graphed below? Please help ASAP

Answers

Answer:

its not very clear can you take a picture again?

Step-by-step explanation:

Other Questions
Help ! Help ! Help ! Fast What is the base of a triangle that has a height of 6 centimeters and an area of 18 centimeters? Use the formula h = StartFraction 2 A Over b EndFraction, where A represents the area of the triangle, h represents the height, and b represents the length of the base. One-third centimeter Two-thirds centimeters 3 Centimeters 6 Centimetersc Probability question, which I am stuck on!The probabilities of landing on 1, on 2, on 4, on 5 or on 6 when rolling a biased dice are shown in the table.*Table In Attachment*The biased dice is rolled 300 times.Estimate the total number of times the dice will land on 3 or on 4.I would like to know what a biased dice is too! What is the money an investor receives above and beyond the money initially invested called? I dont know how to do this can someone help? Multiply and simplifyV8xyz3 . V10x3y2z the perimeter of a regular seven-sided polygon is 11x - 4. If x = 8, what is the length of one side of the polygon? Which sentence is correct? A. The contest received over two hundred essays three were judged to be good enough for publication. B. The contest received over two hundred essays, three were judged to be good enough for publication. C. The contest received over two hundred essays unfortunately only three were judged to be good enough, for publication. D. The contest received over two hundred essays; three were judged to be good enough for publication. Music appreciation what type of music is hush line baby consist of Andrew is working on his homework. One of the questions ask What is the next number is the pattern? 1,1,2,3,5,8.....? What kind of reasoning should Andrew use to find the answer?A. Law of detachment B. Syllogism C. Inductive reasoning D. Seductive reasoning Please help me with this Why did the United States drop two atomic bombs on Japan? Shifts in eye contact, slight head movements, posture changes, and nodding to tell another person when to finish what he or she is saying are all examples of nonverbal behaviors ________. Need help with this programming question plz! A frozen yogurt shop offers a rewards system for frequent customers. The graph below represents how much a rewards customer pays based on the number of ounces of frozen yogurt purchased. What eventually happens to non-market command economies? Prompt: In an essay, you will choose an entrepreneur and argue whether the free enterprise system was necessary for that individual to make an impact on the business world.I'm writing my paper of Jeff Bazos and was wondering if someone could help me layout how to write this paper. Thank you What are plastic bottles made of? Polyethylenehalogensilicon Alkyl groups How can you tell if an expression is a perfect square trinomial? Explain. what does FERA stand for Pls help lol eeeeeeeeee :D :D