Put the following equation of a line into slope-intercept form, simplifying all
fractions.
3x – 9y = -72

Put The Following Equation Of A Line Into Slope-intercept Form, Simplifying Allfractions.3x 9y = -72

Answers

Answer 1
24+-3y is the correct answer
Answer 2

the slope-intercept form of the given equation is y = x/3 + 8.

What is the slope?

The increase divided by the run, or the ratio of the rise to the run is known as the line's slope. The coordinate plane describes the slope of the line.

The slope-intercept form of a line is Y = m*X +C.

Given an equation 3x-9y = -72, which we will try to make in the slope-intercept form by using simplification.

3x-9y = -72

9y = 3x + 72

y = 1/3 * x + 8

Therefore y = x/3 + 8 is the slope-intercept form of the given equation.  where its slope is 1/3.

Learn more about slope here:

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Related Questions

what is the answer of solve the following equations and verify your answer ​ ​

Answers

Answer:

Solution !!

[tex] \implies{\sf{ \dfrac{p + 7}{p - 6} = \dfrac{1}{3}}}[/tex]

By cross multiplication :

[tex] \implies{\sf{ {3(p + 7)} = 1{(p - 6)} }}[/tex]

[tex]\implies{\sf{3p + 27 = p - 6 }}[/tex]

[tex]\implies{\sf{3p - p = - 6 - 21}}[/tex]

[tex]\implies{\sf{2p = - 27}}[/tex]

[tex]\implies{\sf{\underline{\underline{\red{p = \dfrac{ - 27}{2}}}}}}[/tex]

Hence, the value of p is -27/2

[tex]\begin{gathered}\end{gathered}[/tex]

Verification !!

[tex] \implies{\sf{ \dfrac{p + 7}{p - 6} = \dfrac{1}{3}}}[/tex]

Substituting the value of (p = -27/2)

[tex] \implies{\sf{ \dfrac{ \dfrac{ - 27}{2} + 7}{ \dfrac{ - 27}{2} - 6} = \dfrac{1}{3}}}[/tex]

[tex] \implies{\sf{ \dfrac{ \dfrac{ - 27 + 14}{2}}{ \dfrac{ - 27 - 12}{2} } = \dfrac{1}{3}}}[/tex]

[tex] \implies{\sf{ \dfrac{ \dfrac{ - 13}{2}}{ \dfrac{ - 39}{2} } = \dfrac{1}{3}}}[/tex]

[tex] \implies{\sf{ \dfrac{ - 13}{2} \times \dfrac{2}{ - 39} = \dfrac{1}{3}}}[/tex]

[tex] \implies{\sf{ \dfrac{ - 13}{\cancel{2}} \times \dfrac{\cancel{2}}{ - 39} = \dfrac{1}{3}}}[/tex]

[tex] \implies{\sf{ \dfrac{ - 13}{ - 39} = \dfrac{1}{3}}}[/tex]

[tex] \implies{\sf{ \cancel{\dfrac{ - 13}{ - 39}} = \dfrac{1}{3}}}[/tex]

[tex] \implies{\sf{ \dfrac{1}{3} = \dfrac{1}{3}}}[/tex]

[tex]\implies{\sf{\underline{\underline{\red{LHS = RHS}}}}}[/tex]

Hence Verified!

[tex]\underline{\rule{220pt}{3pt}}[/tex]

8 to the 2 power-28/4+2?

Answers

Answer:

59

Step-by-step explanation:

hope it helps brainliest pls

The mother is really tall (T) and the allele for this particular trait is dominant to the short (t) gene. The fathers phenotype is short (t). What will the genotype and phenotype percentages be for the the F1 generation? (hint: there may be more than one possible answer).

Answers

If tall is completely dominant over short, then the mother's genotype is either TT or Tt. The father is short so his genotype is tt.

Crossing TT with tt produces only heterzygous offspring with genotype Tt. Then the genotypic and phenotypic ratios are 0 TT : 1 Tt : 0 tt and 1 tall : 0 short, respectively. As percentages, these would

• geno:   0% TT : 100% Tt : 0% tt

• pheno:   100% tall : 0% short

Crossing Tt with tt on the other hand produces offspring with genotype either Tt or tt with equal probability, so that the geno and pheno ratios are 0 TT : 1 Tt : 1 tt and 1 tall : 1 short. As percentages,

• geno:    0% TT : 50% Tt : 50% tt

• pheno:   50% tall : 50% short

derivative for the function of t3+k/t=​

Answers

Answer:

Step-by-step explanation:

I will ASSUME you want the derivative with respect to "t" of the equation

f(t) = t³ + kt⁻¹

f'(t) = 3t² - kt⁻²          which can also be     3t² - k/t²

What is 18x77 with algorithm

Answers

Answer:

1386

Step-by-step explanation:

First multiply 8 and 77 to get 616

Then multiply 10 and 77 to get 770

Finally, add them all together to get 1386

Answer:

the answer is 1,386. ......

please help ill mark brainliestl​

Answers

Answer:

A) Yes...ABC and GFC are similar using AA.

Step-by-step explanation:

HELLP ME PLS QUICK



Oscar and Kim have $22.00 each to spend at a book fair, where all students receive a 30% discount. They both want to purchase a copy of the same book, which normally sells for $28.50 plus 10% sales tax. To check if he has enough to purchase the book, Oscar takes 30% of $28.50 and subtracts that amount from the normal price. He takes 10% of the discounted selling price and adds it back to find the purchase amount. Kim takes 70% of the normal purchase price and then computes 110% of the reduced price. Is Oscar correct? Is Kim correct? Do they have enough money to purchase the book? Explain your answer using complete sentences, and show your work.




HELLLP ME PLS QUICK

Answers

Answer:

Both Oscar and Kim will have enough to purchase the book.

Step-by-step explanation:

Oscar takes 30% of the normal price and subtracts it from the normal price. Out of 100% price he takes 30% so the result is: 100-30%= 70% of the normal price. Oscar's first step has the same result as Kim.

Oscar takes 10% of the discounted price (70%) and adds it back. The price will become 70% + 10%*70%= 77% of original price. Kim multiplies the discounted price with 110%, so the price will be: 70% * 110%= 77%. Both also give the same result.

The final price is 77% of the original, it will be: $28.50* 77%= $21.945

Oscar :

28.50 - 0.30(28.50) = 28.50 - 8.55 = 19.95

0.10(19.95) + 19.95 = 2 + 19.95 = 21.95

Kim :

0.7(28.50) = 19.95

1.10(19.95) = 21.95

Answer:

Both Oscar and Kim got the same amount and they both had enough money to buy the book.

Given that,

Oscar and Kim have money to spend at a book fair = $22

Discount for all the students = 30% = 0.30

They both want to purchase a copy of the same book, which normally sells for $28.50 plus 10% sales tax.

Book normally sells for = $ 28.50 + 10% sales tax

According to the question,

Oscar takes 30% of $28.50 and subtracts that amount from the normal price. He takes 10% of the discounted selling price and adds it back to find the purchase amount.

28.50 - 0.30(28.50) = 28.50 - 8.55 = 19.95

0.10(19.95) + 19.95 = 2 + 19.95 = $21.95

Kim takes 70% = 0.7 of the normal purchase price and then computes 110% = 1.10 of the reduced price.

0.7(28.50) = 19.95

1.10(19.95) = $21.95

Hence, Both Oscar and Kim got the same amount and they both had enough money to buy the book.

Step-by-step explanation:

10. Saul works two part-time jobs. Last week, he worked 14 hours at a shoe store, and 19
hours as a telemarketer. His total pay was $240.30. The week before, he made
$300.00 for 19 hours at the shoe store and 22 hours telemarketing. Find his hourly
wage for each job

Answers

Answer:

shoe store $7.80/hour

telemarketer: $6.90/hour

Step-by-step explanation:

Let s = hourly salary at the shoe store.

Let t = hourly salary as a telemarketer.

14s + 19t = 240.3

19s + 22t = 300

Multiply both sides of the first equation by 19. Multiply both sides of the second equation by -14. Then add them.

         266s + 361t = 4565.7

(+)     -266s - 308t = -4200

----------------------------------------

                       53t = 365.7

t = 6.9

Substitute 6.9 for t in the first equation and solve for s.

14s + 19(6.9) = 240.3

14s + 131.1 = 240.3

14s = 109.2

s = 7.8

Answer:

shoe store $7.80/hour

telemarketer: $6.90/hour

Slove for x : 4x - t = a

Answers

we have:   4x - t = a ⇒ 4x = a + t ⇒ x = [tex]\frac{a+t}{4}[/tex]

ANSWER: x = [tex]\frac{a+t}{4}[/tex]

ok done. Thank to me :>

can someone help me with this i’ll give you 25 points

Answers

Answer:

Um.... Wouldn't angle 1 just be 180-17 which is 163. Angle 3 would be equal to angle 1 so also 163. Angle 4 and angle 2 are equal to 17.

Step-by-step explanation:

Answer:

angle1 = 163°

angle2 = given in diagram

angle 3 = alternating angle 1, so 163°

angle 4 = alternating angle 2, so 17°

Step-by-step explanation:

noticing that the two lines intercept each other at the centre, making angles going around that interception point add up to 360° (you can use this information to check the answers).

an angle on a straight line is always 180°, so given that angle2 is 17°, you can already do 180 - 17 to get an easy answer to angle 1 and 3.

please help, theres a picture

Answers

Answer:

C 1/-3

Step-by-step explanation:

To find the slope I found two-point of the graph that were easy to point out and used rise over run to determine the slope!

In this case, rise was one because it went from -1 to 0 and run was -3 because it went from 0 to -3

Hope this helps!!

Please tell me if I have messed up!!

I enjoy learning form my mistakes:)

*Also if I am correct could you please mark me brainliest? I am trying to level up!!

The line is on -3 and -1 so I think the answer is -1/3 .

suppose we want to choose 2 colors, without replacement from 3 colors red,bule and green

Answers

Then U Would Choose Blue And Red

hello need help question below​

Answers

What’s the question?

(a²-4) (9-b²) +24ab algebraic factorization​

Answers

Answer: -a2b2 + 9a2 + 24ab + 4b2 - 36

Step-by-step explanation:

A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

AB = BA is the commutative property of multiplication.

- AB + AB equals zero and is therefore eliminated from the expression.

Pharaphrase it if used.

Find the area and the circumference of a circle with radius 4 yd

Answers

First, let's find the area! The formula to find the area of a circle is πr²

πr²

3.14 · 4²

50.24 yds²

Now let's find the circumference. The formula for this is 2πr

2πr

2 · 3.14 · 4

25.12 yds

Hope this helps!

Find the percent increase. Round to the nearest percent. From 95 books to 153 books

Answers

Answer:

62%

Step-by-step explanation:

(The part/ the whole)× 100

(95/153) = 0.62

0.62×100 = 62%

I need help bad. It's about finding angles and I can't really figure it out.

Answers

Answer:  41 degrees

=========================================================

Explanation:

Angle BFE is 117 degrees. The adjacent angle to this (angle BFA) is 180-117 = 63 degrees since the two angles form a straight line, and must add to 180.

Now because BD is parallel to AE, we know that the alternate interior angles BFA and FBD are the same measure. This makes angle FBD to be 63 degrees.

We're told that segment BF bisects angle ABD. That indicates the two smaller pieces (angles ABF and FBD) are the same measure. Both are 63 degrees in this case.

Let x be the measure of angle DBC. This angle will add to angles ABF and FBD to form a 180 degree straight angle

(angleABF) + (angleFBD) + (angleDBC) = 180

(63) + (63) + (x) = 180

x+126 = 180

x = 180-126

x = 54

Angle DBC is 54 degrees.

-----------------------

The last set of steps has us focus on triangle BCD. The three angles of any triangle always add to 180.

B+C+D = 180

54 + 85 + D = 180

139 + D = 180

D = 180-139

D = 41

Angle CDB is 41 degrees, and so is angle CEA as they are corresponding angles. Corresponding angles are congruent when we have parallel lines like this.

Therefore, angle E is 41 degrees.

The diagram is below showing all of the angles we found.

Find radiuses of circles, if OO1=20cm and 3AK=2BK

Answers

Answer:

radius of smaller circle on the left =  8 centimetersradius of larger circle on the right =  12 centimeters

=============================================================

Explanation:

The letter O looks very similar to the number zero, so I'm going to use other letters to avoid confusion. For the smaller circle on the left, it'll have center P. The circle on the right will have center Q. See the diagram below.

Based on that, we can say that PQ = 20 cm.

Let x = length of PK

PK + KQ = PQ

KQ = PQ - PK

KQ = 20 - x

We'll keep this in mind for later. I'll refer to this as "Fact 1" when it does come up later.

------------------------

We're given this equation

3AK=2BK

Let's get the numbers to one side and the letters to the other side like so:

3AK=2BK

3AK/BK = 2

AK/BK = 2/3

We'll use this later as well.  I'll refer to this as "Fact 2" when it does come up later.

------------------------

Next, draw a segment from P to A to form triangle PAK (also shown in the diagram below). Do the same for points Q and B to form triangle QBK.

The segments PA and PK are radii of the smaller circle, so PA = PK which leads to triangle PAK being isosceles. Triangle QBK is also isosceles for similar reasoning.

The angles AKP and QKB are vertical angles, so they are congruent.

The facts mentioned so far boil down to the two triangles being similar triangles (use the angle angle method to prove).

------------------------

Now that we know the triangles are similar, we can use a proportion to solve for x.

PK/KQ = AK/KB

PK/KQ = 2/3  .... use fact 2

x/(20-x) = 2/3 .... use fact 1

3x = 2(20-x) .... cross multiply

3x = 40 - 2x

3x+2x = 40

5x = 40

x = 40/5

x = 8

So,

PK = x = 8KQ = 20-x = 20-8 = 12

The radius of the smaller circle on the left is 8 cm.

The radius of the larger circle on the right is 12 cm.

It takes 82 pounds of seed to completely plant 11 acre field. How many ponds of seed are needed per acre?

Answers

Answer:

7.5lbs

Step-by-step explanation:

82/11 = 7.45454545lbs

Rounded to 7.4lbs

Hope that helps

Answer:

7 5/11

Step-by-step explanation:

you divide 82 and 11 and you get 7.45454545

Helpppppppppp plsssssss

Answers

Answer: You didnt give the 2 equations.

Step-by-step explanation:

Oh yeah what he said

3/4, 4/5, 7/8, 9/11, 5/6
can they be simplified? give your reasons below.​

Answers

They cannot be simplified

Answer:

No, none of these can be simplified

Step-by-step explanation:

Each one of these factions have a prime number in it, so therefore, you cannot simplify any of them. Prime numbers are numbers that only have 2 factors, one and itself. So, you can't simplify any of them.

Here's why:

If you take 3/4, you can't simplify because 3 is prime. 4 is NOT prime, but to reduce, you have to be able to find a GCF, or a greatest common factor.

What percent of 80 is 60

Answers

Answer:

80% of 75 is 60

Step-by-step explanation:

0.80x=60

x=60/0.80

x=75

How do I solve this? 2(-2w-1.2+7x)

Answers

-4w-2.4+14x this is the answer for this

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

Answers

plz write your proper question

Directions: Given the point and slope, write the equation of the line. 3. (1,-7); slope = -1

Answers

Answer:

y=-1x-6

Step-by-step explanation:

Put these fractions in order from least to greatest:

Answers

Answer:

1/4, 3/8, 2/3

Step-by-step explanation:

3/8 is more than 25% (1/4) but is less than 66% (2/3) making the order 1/4 3/8 2/3.

Answer:

The answer is the 3rd option. (1/4, 3/8, 2/3)

Step-by-step explanation:

All u have to do is find a common denominator for all 3 fractions.

The common denominator in this problem would be 24

So lets convert all the fractions with a denominator of 24.

1/4 = 6/24

3/8 = 9/24

2/3 = 16/24

Since we now converted the fractions with a common denominator, we can deduce the order from least to greatest.

6/24, 9/24, then 16/24

In other words, the answer is the 3rd option. (1/4, 2/8, and 2/4)

Hope this helps! :0

૮ ・ﻌ・ა

There is a cookie jar in Julio's kitchen filled with 7 cookies. His mother bakes some more cookies. Now there are 14 cookies. How many cookies did Julio's mother bake.

Answers

Answer:

His mother baked 7 more cookies

If x = (1/2)(16 - 8y), then x =

Answers

Answer:

x = 8 - 4y

Step-by-step explanation:

16/2 = 8

8y/2 = 4y

The value of x of the expression is x = 8 - 4y.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

x = (1/2)(16 - 8y)

Removing the parenthesis.

x = 16/2 - 8y/2

x = 8 - 4y

Thus,

The value of x is 8 - 4y.

Learn more about expressions here:

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Chiara's goal is to save $1 500. Each week she saves 15% of her weekly
income of $674.

Answers

Answer:

it will take about 15 weeks

Step-by-step explanation:

15% of 674 is about 101.

so, 1500 divided by 101 is about 15

hope this helps :)

Using the previous problem, what is the rate at which
the shadow changes when the person is 10 ft from the wall,
if the person is walking away from the wall at a rate of 2 ft/
sec

Answers

Answer:

It grows at a rate  

4/9 ft/second

Step-by-step explanation:

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