What is y= -1/3x-9 written in standard form

Answers

Answer 1

Simplify 1/3x to x/3

y = -x/3 - 9

Add 9 to both sides

y + 9 = -x/3

Multiply both sides by 3

(y + 9) * = -x

Regroup terms

3(y + 9) = -x

Using the formula, rewrite in standard form

Answer: x + 3y = -27

Answer 2
Final answer:

To convert the equation y = -1/3x - 9 to standard form, you need to eliminate the fraction and rearrange the equation. Multiply both sides of the equation by 3 to get 3y = -x - 27. Rearrange the equation to get x + 3y = -27, which is the standard form.

Explanation:

The equation y = -1/3x - 9 can be written in standard form as Ax + By = C, where A, B, and C are constants. To write the equation in standard form, we need to eliminate the fraction by multiplying both sides of the equation by 3. This gives us 3y = -x - 27. Rearranging the equation, we get x + 3y = -27, which is the standard form.

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Related Questions

The population of Miguel’s hometown is 23,718 what is 23,718 rounded to the nearest ten thousand?

Answers

23,718 rounded to the nearest ten thousand is 24,000.

The digit in the ten-thousands place is 3, and because the digit to the right of that digit is higher than 5, the number will be rounded up to 4.

How to find the distance between these points?

Answers

2/5 (rise/run) is the distance. You move up by 2 and 5 to the right

You can use the distance formula it is: the square root of (x2-x1)^2 + (y2-y1)^2


(1+4)^2 + (8-6)^2

(5)^2 + (2)^2

25+4

29

Take the square root of 29 which is about 5.4

The distance is about 5.4

can you solve the equation 2/3(4x-5)=8 by using the division property of equality? explain

Answers

Answer:

Yes, you can use the division property of equality in this equation.

Step-by-step explanation:

This is because we have a variable (x) that is being MULTIPLIED (by 4). The opposite of multiplication is division. Since this is an equation that needs properties of equality to solve the variable, division would be a property of equality being used.

how can we determine a slope?

Answers

slope formula: y2-y1/x2-x1

multiply 4 by p, then double the result

Answers

i think its 2(4p) or 8p

I think it would be 2(4*p)

How do I solve this?

Answers

times it my 2 and a half

The temperature dropped 30°F in a 6 hour period. What was the mean hourly temperature drop?

Answers

Final answer:

The mean hourly temperature drop is 5°F per hour, calculated by dividing the total temperature drop of 30°F by the total time of 6 hours.

Explanation:

If the temperature dropped 30°F over a period of 6 hours, the mean hourly temperature drop is calculated by dividing the total temperature drop by the total time.

This calculation provides the average rate of temperature change per hour.

To find the mean hourly temperature drop, you use the following steps:

Determine the total temperature change: 30°F.Determine the total time of the change: 6 hours.Divide the total temperature drop by the total time to find the mean hourly drop: Mean Hourly Drop = Total Temperature Drop ÷ Total Time.Perform the calculation: Mean Hourly Drop = 30°F ÷ 6 hours = 5°F per hour.

Therefore, the mean hourly temperature drop is 5°F per hour.

Final answer:

The mean hourly temperature drop when the temperature decreased by 30°F over a 6-hour period is 5°F per hour.

Explanation:

The question asks to determine the mean hourly temperature drop when the temperature decreased by 30°F over a 6-hour period. To find the mean hourly drop, you simply divide the total temperature drop by the total number of hours.

To calculate: Mean hourly drop = Total temperature drop ÷ Number of hours

So in this case, it would be: Mean hourly drop = 30°F ÷ 6 hours = 5°F per hour

Therefore, the mean hourly temperature drop was 5°F.

What is the mean for the following set of data? 12, 10, 11, 13, 14 10 12 13 14

Answers

The mean is calculated by adding all the data values together, and then dividing the sum by the number of data values.

12+10+11+13+14+10+12+13+14=109

109÷9≈12.1

The mean of the data set is about 12.1.

The mean of the data set will be 12.11.

What is Mean?

The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean.

The data set is given below.

12, 10, 11, 13, 14 10 12 13 14

Then the mean of the data set will be

Mean = (12 + 10 + 11 + 13 + 14 + 10 + 12 + 13 + 14) / 9

Mean = 109/9

Mean = 12.11

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When asked to factor the trinomial 4x^2+20x+25, a student gives the answer (2x-5)(2x-5). What is one thing wrong with this answer?

Answers

when factored out you would get 4x^2-20x+25 you don’t want a -20x you want a +20x so you would want (2x+5)(2x+5) instead

The minus signs should be plus signs

The orange-and-purple-striped sweaters at a store were not selling, so the store put them on sale for half of the original price. The sweaters still did not sell, so the store reduced the price by an additional $10. The sweaters are now priced at $7.50. Write and solve an equation to find the original price of the sweaters. Explain each step of your solution.

Answers

7.50 + 10 = 17.50, 17.50 X 2 = 35 Original price is $35 dollars

py+7=6y+qp, y, plus, 7, equals, 6, y, plus, q y=y=y, equals

Answers

Py +7 = 6y + qp

Solve the equation for y

To solve the equation for y we need to get y alone

Py +7 = 6y + qp

Subtract 6y from both sides

Py - 6y +7 = + qp

Subtract 7 from both sides

Py - 6y = + qp - 7

Now factor out y

(P - 6)y = qp - 7

Divide by P - 6 from both sides

[tex]y =\frac{qp - 7}{(P - 6)}[/tex]

Answer:

y=  p−6 /q−7

Step-by-step explanation:

The strategy

Move all y-terms on one side of the equation, and move all constant terms to the other side of the equation.

Using the distributive property, group like terms together on both sides of the equation.

To isolate y, divide both sides by the coefficient of y.

Solving for y

py+7 = 6y+q

py+7 -6y = q

 py-6y= q - 7

y(p-6) = q-7

Solve for u: 7/5u+2=1/2.

Answers

Solve for u by cross multiplying.

Answer: u = [tex]-\frac{15}{14}[/tex]

In Decimal form the answer is: −1.07142857…


Round 8,088 to the nearest thousand

Answers

8,088 rounds to 8,000 to the nearest thousand.
it is 8,000 because it is isn't above 8,500

please help me I don't get this

Answers

No he will be missing 25 cents
It will be no, because he will be missing 25 cents

Ryo accidentally Ordered 240% as many eggs as his restraint needs what fraction of the number of eggs his restraint needs did ryo order

Answers

Let the number of eggs Ryo actually needs be represented by the letter "x".

Then the number of eggs Ryo ordered was [tex]240\%[/tex] of that amount. This can be represented as:

[tex]240\%\times x=\frac{240}{100}x= \frac{12}{5}x[/tex]

Now, to find what fraction of the number of eggs Ryo actually needs in his restaurant, all that we need to do is divide the actual number of eggs, which is "x", by the amount of eggs Ryo actually accidentally ordered which is [tex]\frac{12}{5}x[/tex].

Thus, we get:

Fraction=[tex]\frac{x}{\frac{12}{5}x}= \frac{5}{12}[/tex]

Thus, [tex]\frac{5}{12}[/tex] is the required answer.

Write an equation for each line in slope-intercept form.

Answers

Answer:

Slope Intercept Form is y = mx +b

1. y = x + 8

2. y = 1/2x + -5

3. y = x + 7


Find two equivalent fractions for 2/12

Answers

You can find two equivalent fractions by multiplying or dividing the numerator and denominator by the same number.

For example, if you had 2/3 and you wanted to find an equivalent fraction, you could multiply both the numerator (top number) and denominator (bottom number) by 2.

2/3 * 2/2 = 4/6, so an equivalent fraction of 2/3 is 4/6.

Now to find two equivalent fractions for 2/12: since both the numerator and denominator can be divided evenly by 2, you can divide 2/12 by 2/2.

2/12 / 2/2 = 1/6

1/6 is an equivalent fraction to 2/12.

You can also multiply 2/12 by 2/2 for another equivalent fraction.

2/12 * 2/2 = 4/24, so two equivalent fractions for 2/12 are 1/6 and 4/24.

Two equivalent fractions for 2/12 are 4/24 and 6/36.

To find equivalent fractions for 2/12, we need to multiply both the numerator and denominator by the same non-zero number. This will give us fractions that have different numerators and denominators but represent the same value.

Let's start by finding an equivalent fraction by multiplying both the numerator and denominator by 2:

2/12 x 2/2 = 4/24

The fraction 4/24 is equivalent to 2/12 because both fractions simplify to 1/6 when reduced to their simplest form.

Next, let's find another equivalent fraction by multiplying both the numerator and denominator by 3:

2/12 x 3/3 = 6/36

The fraction 6/36 is also equivalent to 2/12 because both fractions simplify to 1/6 when reduced.

Therefore, two equivalent fractions for 2/12 are 4/24 and 6/36, both of which represent the same value as 2/12, which is 1/6 when simplified.

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four students estimated the width of the door to their classroom .who made the best estimate?a,ted:1foot,b,hank,3 feet,c,ann,10feet,d,maria,15feet

Answers

Ann's and Maria's estimations of 10 feet and 15 feet are much wider and there would be no door with these widths.

Ted's estimation of 1 foot is also not possible as some stout students can't enter into the class.  :D

Hence, Hank's estimation of 3 feet is the best estimate.

Hank made the best estimate of the width of the door at 3 feet, as standard interior doors are usually close to this width.

The question is about estimating the width of a door. Students provided different estimates for the door's width: Ted estimated it to be 1 foot, Hank estimated 3 feet, Ann estimated 10 feet, and Maria estimated 15 feet. To determine who made the best estimate, we can use the contextual knowledge of standard door sizes. Typically, the width of an interior classroom door is closer to 3 feet, which makes Hank's estimate the most reasonable. The estimates provided by Ann and Maria are excessively large for typical doors, and Ted's estimate of 1 foot is too small.

Find the value of r so that the line through (1,4) and (-5,r) has a slope of 1/3

Answers

r would be 2
the easiest way to solve this is by drawing your own graph, plotting the points and working it out from there:)

Final answer:

To determine the value of r for the line to have a slope of 1/3, the slope formula is applied and solved to find that r must be 2.

Explanation:

To find the value of r so that the line through the points (1,4) and (-5,r) has a slope of 1/3, we use the formula for the slope (m) of a line given two points (x1, y1) and (x2, y2): m = (y2 - y1) / (x2 - x1).

Step 1: Insert the known values into the slope formula

Slope (m) = 1/3, x1 = 1, y1 = 4, x2 = -5, y2 = r

1/3 = (r - 4) / (-5 - 1)

Step 2: Solve for r

1/3 = (r - 4) / (-6)
-2 = r - 4
r = 2

Therefore, the value of r is 2 for the line to have a slope of 1/3.

Suppose the function, g(x), is used to model the height ,y, of a soccer ball, x seconds after the ball is kicked up in the air. The ball starts on the ground and travels in a parabolic shape as it reaches a maximum height and then returns to the ground. Suppose further that the ball reaches its maximum height of 15 feet in 2.2 seconds. What would be an appropriate domain for g(x)?

Answers

the ball reaches its maximum height of 15 feet in 2.2 seconds

The ball starts on the ground and travels in a parabolic shape as it reaches a maximum height and then returns to the ground

The ball starts on the ground at 0 seconds so the ball starts at x=0 seconds

the ball reaches its maximum height of 15 feet in 2.2 seconds

So it takes 2.2 second to reach the maximum height

It will take another 2.2 seconds to reach the ground

The time the ball in the air is 2.2 + 2.2 = 4.4

The ball will reach the ground in 4.4 seconds

So the domain for g(x) is {0,4.4}


Answer:

0 ≤ x ≤ 4.4

Step-by-step explanation:

1.Find the absolute value of the following integers: a. 9 b. −14 c. 0 d. −135 e. +1,408 2.Find the absolute value of the following numbers: a. 18 b. −5.72 c. 0.4 d. −712 e. +102.5
3.A man dropped his keys into the sea, and watched them fall to a depth of −8 meters before landing on a rock. How far are the keys from the surface of the sea? 4.Sue borrowed money from her friends to buy a cinema ticket and snacks. She now has a balance of −$21. How much money must she earn in order to break even, or achieve a balance of $0?
5.Ben removes a stick of frozen butter from the freezer, and finds that it has a temperature of −15°C. When the temperature of the butter reaches 0°C, Ben will use it in a recipe. How many degrees does the temperature need to rise?

Answers

Absolute value means basically just to get rid of any negatives and turn them into a positive number. A=9 B=14 C=0

1.

(a) 9

(b) 14

(c) 0

(d) 135

(e) 1408

2.

(a) 18

(b) 5.72

(c) 0.4

(d) 712

(e) 102.5

3. 8 meters

4. $21 or more

5. 15 degrees

Please mark me brainliest!

Select all that apply which of the following are equivalent 3 oranges for a dollar 6 oranges for 2 dollars 3 dollars for 1 orange and 9 oranges for 3 dollars

Answers

Answer:

3 oranges for $1, 6 oranges for $2,and 9 oranges for $3

Step-by-step explanation:

Because the ratio amount of oranges to the amount of money is 3:1 for all three

The required equivalent expressions are 3 oranges for a dollar,  6 oranges for 2 dollars,  and 9 oranges for 3 dollars.

What is proportionality?

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

Here,
Let the number of oranges be x and the cost for x oranges be y,

1. 3 oranges for a dollar  2. 6 oranges for 2 dollars  3. 3 dollars for 1 orange and 4.  9 oranges for 3 dollars

For the equivalent relation, of the given expression,
x₁ / y₁ = x₂ / y₂ = x₃ / y₃ = x₄ / y₄
3 / 1 = 6 / 2 = 1 / 3 = 9 / 3
3 / 1 = 3/1 ≠ 1 / 3 ≠ 3 / 1

Thus, the required equivalent expressions are 3 oranges for a dollar,  6 oranges for 2 dollars,  and 9 oranges for 3 dollars.

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what is the slope of the line on the graph

Answers

Answer:

the slope of the is -1/3

Step-by-step explanation:


Answer: [tex]\dfrac{-1}{3}[/tex]

Step-by-step explanation:

The slope of a line passes through two points (a,b) and (c,d) is given by :-

[tex]m=\dfrac{d-b}{c-a}[/tex]

From the give graph, the line is passing through (0,4) and (6,2).

Then the slope of line will be :-

[tex]m=\dfrac{2-4}{6-0}=\dfrac{-2}{6}=\dfrac{-1}{3}[/tex]

Hence, the slope of the line on the graph [tex]=\dfrac{-1}{3}[/tex]

Round 6,212 to the nearest hundred

Answers

Answer:


Step-by-step explanation:

6,212 яσυи∂є∂ тσ тнє иєαяєѕт нυи∂яє∂ ιѕ


6,200


Your answer will be 6,200.

simplify using laws of exponent

| -10^5/10^3 |

Answers

Step 1. Use the Quotient Rule: x^a/x^b = x^a-b

|-10^5-3|

Step 2. Simplify 5 - 3 to 2

|-10^2|

Step 3. Simplify 10^2 to 100

|-100|

Step 4. Simplify

100


[tex]Solution, \left|-\frac{10^5}{10^3}\right|=100[/tex]

[tex]Steps: \left|-\frac{10^5}{10^3}\right|[/tex]

[tex]\mathrm{Cancel\:}\frac{10^5}{10^3}:\quad 10^2, =\left|-10^2\right|[/tex]

[tex]\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a, =10^2[/tex]

[tex]\mathrm{Refine}, =100[/tex]

The correct answer is 100

Hope This Helps!!!

<3 - austint1414

Suppose f(x) = x2 and g(x) = 2x − 3. What is the value of g(4) + f(−3)?

Answers

In order to find the value of g(4)+f(-3), we must substitute those values into the functions first.

Substitute -3 into f(x).

f(x)=x²

f(-3)=(-3)²

f(-3)=9

Substitute 4 into g(x).

g(x)=2x-3

g(4)=2(4)-3

Using the rules of PEMDAS, multiply first then subtract.

g(4)=8-3

g(4)=5

Therefore, if f(-3) is 9 and g(4) is 5, we must add the two values together.

5+9=14

The value of g(4)+f(-3) is 14.

The value obtained for the given equation g(4) + f(−3) will be equal to 14.

What is an equation?

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given equations in the question,

f(x) = x²

So, f(-3) = (-3)²

f(-3) = 9

g(x) =  2x - 3

g(4) = 2(4) - 3

= 8 - 3

g(4) = 5

So,

g(4) + f(−3)

5 + 9 = 14

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Find the GFC of 35 56 and 63

Answers

THe GCF of 35 and 56 is 7.

35/5 = 7

56/8 = 7

The greatest common factor of 35 ,56 and 63 is 7                      

If the volume of a cube is 12,167 cubic inches, what is the length of a side of the square?

Answers

Answer:

23 in

Step-by-step explanation:

Volume of a Cube: V = a³

Step 1: Define

V = 12,167 in³

a = ?

Step 2: Solve for side length a

Substitute: 12,167 = a³Cube root both sides: 23 = aRewrite: a = 23

Step 3: Check

Plug in a to verify it's a solution.

Substitute: V = (23 in)³Evaluate: V = 12,167 in³

Hilary Hu borrowed $4,500.00 to pay for a viola. She agreed to pay back $5,200.00 in 219 days. What exact interest rate was she paying? (Round your answer to the nearest tenth of a percent.)

27.1%


18.5%


17.3%


25.9%

Answers

answer : 25.9%

Hilary Hu borrowed $4,500.00 to pay for a viola. She agreed to pay back $5,200.00 in 219 days.

Interest to be paid = 5200 - 4500 = $700

To find the rate we use simple  interest formula

[tex]I =P*\frac{r}{100}*\frac{n}{360}[/tex]

I is the interest

P is the principal amount = 4500

r is the rate of interest

n is the number of days= 219

[tex]700 =4500*\frac{r}{100}*\frac{219}{365}[/tex]

[tex]700 = \frac{985500r}{36500}[/tex]

Multiply by 36500 on both sides

25550000= 985500 r

Divide by  985500

r = 25.92592

so interest rate is approximately = 25. 9%

Harold stores 10656 pounds of grain for his 24 cattle.Each cow eats about 12 pounds of grain each day.how many days would the food supply last?

Answers

Hey there!

If he has 24 cattle that eat 12 pounds of grain every day, then the amount of grain that they eat every day can be represented by the following equation:

p = 24 x 12       Multiply the two together, and the amount eaten each day is 288 pounds.

We can divide 10656 by 288 to figure out how many times 288 will go into 10656, which tells us how many days the supply will last.

10656 ÷ 288 = 37

So this means the food supply will last 37 days.

Hope this helps!

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