If (ax^2 + 3x + 2b) - (5x^2+bx-3c)=3x^2-9, what is the value of A + B + C?

Answers

Answer 1

Answer:

We have the equation:

(ax^2 + 3x + 2b) - (5x^2+bx-3c)=  3x^2 - 9

First, move all to the left side.

(ax^2 + 3x + 2b) - (5x^2+bx-3c) - 3x^2 + 9 = 0

Now let's group togheter terms with the same power of x.

(a - 5 - 3)*x^2 + (3 - b)*x + (2b + 3c + 9) = 0.

This must be zero for all the values of x, then the things inside each parenthesis must be zero.

1)

a - 5 - 3 = 0

a = 3 + 5 = 8.

2)

3 - b = 0

b = 3.

3)

2b + 3c + 9 = 0

2*3 + 3c + 9 = 0

3c = -6 - 9 = -15

c = -15/3 = -5

Then we have:

a = 8, b = 3, c = -5

a + b + c = 8 + 3 - 5 = 6


Related Questions

Multiply. −2⋅(4)⋅(−3)⋅(5) −120 −4 4 120

Answers

Answer:

-44120

Step-by-step explanation:

In order to solve the inequality -1/4 x > 8, which of the following steps must be done?

A.divide by -4 and flip the inequality symbol
B.multiply by -4 and keep the inequality symbol
C.divide by -4 and keep the inequality symbol
D. multiply by -4 and flip the inequality symbol

Answers

Answer:

multiply by -4 and flip the inequality symbol

Step-by-step explanation:

I just did the lesson.  

7w+7=-4+4w+23 what is this?

Answers

Answer: 7w+7=-4+4w+23 = W = 4

First you have to simplify the equations

7w+7= (4w) + (-4+23) 7w+7= 4w+19

Than you have to subtract the 4w (both equation)

7w+7-4w =4w = 4w + 19 - 4w = 3w+7= 19

And than you have to subtract the sevens

3w+7-7=19-7=3w=12

than divide by 3

3w/3 equals 12/3w=4

Is √3,600 rational? Or a perfect square

Answers

Answer:

Yes to both

Step-by-step explanation:

In pretty sure it’s rational

Ella played a math game and had the five cards shown.
-5, -7, 4, -4, 10
Her score was the sum of the numbers on these five cards. What was Ella's score?

Answers

Answer:

-2

Step-by-step explanation:

-5 + -7 = -12

-12 + 4 = -8

-8 + -4 = -12

-12 + 10 = -2

Answer:

Answer:

-5

Step-by-step explanation:

7-4+2-10= -5

Step-by-step explanation:

Find the LCM (least common multiple) of 25 and 35.

LCM =

Answers

Answer:

175

Step-by-step explanation:

Hi there !

25 = 5²

35 = 5×7

Lcm = multiply together each of the prime numbers with the highest power

Lcm(25 ; 35) = 5²×7 = 25×7 = 175

Good luck !

PLEASE HELP AND QUICK!!!

Answers

Answer:

A

Step-by-step explanation:

dude trust me

Helps me solve this problem please

Answers

Answer:

I Think D.

Step-by-step explanation:

Can someone please help me

Answers

3,0 is the answer for sure

To make lemonade, you need 6 lemons and 8 cups of water. How many lemons do you need if you had 24 cups of water?

Answers

Final Answer: 18 lemons

Explanation:

8 x 3 = 24

In order to find how many lemons you need, you need to multiply the amount of lemons by 3 as well.

6 x 3 = 18

Therefore, you need 18 lemons. :)

Please please please please help

Answers

Answer:

y=1

Step-by-step explanation:

Answer:

y=1 I not the greatest at math but I am 100% sure this is correct. :)

A bird leaves its nest and travels 15 miles per hour downwind for x hours. On the return trip, the bird travels 3 miles per hour slower and has 2 miles left after x hours.

Answers

Answer:d = distance down wind d - 5 = distance back time = distance ÷ speed x = d/18 x = (d - 5)/(15)

so d/18 = (d - 5)/15. Cross multiply 18d - 120 = 15d = 40-120 = -5d 24 = d so the whole trip assuming the bird gets back to the starting point is 48 miles..

Step-by-step explanation:

PLEASE HELP! WILL MARK BRAINLIEST

Answers

Oh sorry about that im a 6th grader my older sister is in 7th but wish you luck on your quiz!

You want to build a small square patio out of one-foot square concrete slabs. Home Depot delivered 80 slabs to your home. Without cutting any of the slabs, what is the largest square patio you are able to build? Its dimensions will be feet by feet. Will you have any slabs left over? If so, how many? There will be slabs left over.

Answers

Answer:

Without cutting any of the slabs, what is the largest square patio you are able to build?

8 ft x 8 ft = 64 ft²

Will you have any slabs left over? If so, how many?

yes, I will have 16 slabs left over

Step-by-step explanation:

to find the largest square patio just calculate √80 = 8.94. Since you cannot cut the slabs, then the sides must be 8 x 8 = 64 slabs

if you had just one more slab, then you could have built a 9 by 9 square patio (√81 = 9)

write a system of linear inequalities represented by the graph​

Answers

The answer is number 3

A diver started at 4 feet above ground. After diving he ended at 58 feet below the surface
of the water. What was the change in elevation of the diver? Solve and write an equation,
then model with a number line.​

Answers

Answer:

62

Step-by-step explanation:

If the diver started 4 four feet above the ground and ended 58 feet below the surface, the diver went down, so we can solve this by taking the total distance traveled like so:

[tex]|4+58|[/tex] = 62

How far can a cheetah run in 2 hours at a speed of 40 miles/hour?

Answers

eighty miles in 2 hours

the value X = −3 and Y = 6.
what would be the answer to this
4y−3x =

Answers

Answer:

15

Step-by-step explanation:

First we would want to plug the x value given -3 into x in the equation then we want to plug the y value given 6 in the equation then solve.

4(6) - 3(-3) = ?

4 x 6 = 24

-3 x -3 = 9

24 - 9 = 15

Hope this helps

Let f(x) = 2x + 2. Evaluate for f(6)

Answers

Answer:

f

(

6

)

=

74

Explanation:

If  

f

(

x

)

=

2

x

2

+

2

then

XX

f

(

6

)

=

2

6

2

+

2

XXXXX

=

2

36

+

2

XXXXX

=

74

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

plug in 6

the rest is common sense

Trevon and Castel are selling flower bulbs for a school fundraiser. Customers can buy packages of tulip bulbs and bags of
daffodil bulbs. Trevon sold 10 packages of tulip bulbs and 14 bags of daffodil bulbs for a total of $402. Castel sold 11
packages of tulip bulbs and 4 bags odaffodil bulbs for a total of $237. Select the correct 2 equations and the cost of each
package of tulip bulbs and one bag of daffodil bulbs.

Answers

Answer:

Selection to make is C, D, E

Step-by-step explanation:

Let the cost of a package of tulip bulbs be $x while the cost of a package of daffodil bulbs be $y

10 tulip = $10x

14 bulbs = $14y

The addition of both gives a total $402

10x + 14y = 402 •••••••(i)

11 tulip = $11x

4 dudafodil = $4y

Total is 237

11x + 4y = 237 ••••••••(ii)

So let’s solve to get the value of x and y

10x + 14y = 402

11x + 4y = 237

Divide equation 1 by 2

5x + 7y = 201

11x + 4y = 237

Multiply equation 1 by 4 and 2 by 7

20x + 28y = 804

77x + 28y = 1659

Subtract i from ii

57x = 855

x = 855/57

x = 15

Recall;

5x + 7y = 201

5(15) + 7y = 201

75 + 7y = 201

7y = 201-75

7y = 126

y = 126/7

y = 18

Cost of tulip is $15, cost of daffodil is $18

I just want to know the word please.​

Answers

the word is slope i believe

The points in the table lie on a line. Find the slope of the line.

Answers

The slope of the line is [tex]-\frac{3}{4}[/tex]

First, you must find 2 points.

(-6,8)    (-2,5)

Then, you must substitute the value of the points in.

[tex]\frac{5-8 }{-2+6}[/tex]

Finally, simplify the fraction.

[tex]-\frac{3}{4}[/tex]

The number 4 and the number 4/1 are
exactly the same. Explain why.

Answers

Step-by-step explanation:

Hey there!

It's obvious that 4 and 4/1 are exactly same.

Reason: something divided by 1 is always a a number same in a numerator.

Example;

1. 7/1 = 7

2. 5/1 = 5

Hope it helps..

PLEASE HELP!!! IF YOU GIT IT RIGHT I WILL GIVE YOU 90 BRANLY POINTS !!! Which of the following equations is not a proportion? 14/7 = 7/3.5, 1.5/3 = 3/9, 22/33 = 4/6, 2/3 = 142/213

Answers

Answer:

1.5/3=3/9

Step-by-step explanation:

1.5/3=1/2  when 3/9=1/3

I hope this helps :)

Answer:

1.5/3 = 3/9 is not a proportion

Step-by-step explanation:

1.5/3 = 3/9

1.5 divide by 3 is 1/2 but 3 divide by 9 is 1/3 which makes it  not proportional

what is 0.16 to 4 significant figures?​

Answers

Answer:

0.1600

Step-by-step explanation:

because it would round to the closest number which is 0.1600

4r – 4s+ 4 = - 4
4r + s - 2t=5
- 3r - 3s - 41= -16
Help please

Answers

Answer:

r=-2.00000

s=2.00000

An average swimming pool contains 19200 gallons of water. The pool needs drained at the end of the summer. Water drains from the pool at the rate of 12 gallons per minute. Which equation can be used to find the volume, V, of the water in the pool m minutes after draining begins?

Answers

Answer:

V = 19200 - 12m

Step-by-step explanation:

The pool contains 19200 gallons of water.

Now we are told that water drains from the pool at the rate of 12 gallons per minutes.

Now, we want to find the volume, V, of the water in the pool, "m" minutes after draining begins.

Since water drains at 12 gallons per minutes, it means that after "m" minutes, the total amount that would have been drained is 12m gallons.

Thus, total volume V left after m minutes can be expressed as;

V = 19200 - 12m

Question !
Qa/ 4.2 - 1.5² +0.3 x0.7​

Answers

Step-by-step explanation:

8x+8−3(x+4)−7(2−x)

8x+8−(3x+12)−7(2−x)

8x+8−(3x+12)−(14−7x)

8x+8−3x−12−14+7x

(8x−3x+7x)+(8−12−14)

12x-18

4. A triangle has sides of length 7, 10, and s. Write an equation representing the perimeter P of the triangle.​

Answers

Answer:dam I got the same thing

Step-by-step explanation:

By the way this Brandon

What's the solution: 7x = 5x - 25 + 30

Answers

Answer:

[tex]x= \frac{5}{2}[/tex]

Step-by-step explanation:

1) First, Simplify 5x-25+30 to 5x+5.

7x = 5x + 5

2) You then Subtract 5x from both sides.

7x − 5x = 5

3) Simplify 7x-5x to 2x.

2x = 5

4) Lastly,  Divide both sides by 2.

[tex]x=\frac{5}{2}[/tex]

Decimal Form: 2.5

Answer:

X= 5/2

Step-by-step explanation:

7x=5x-25+30

_5x -5x

2x=-25+30

2x=5

/2. /2

x=5/2

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4. Roberto ganen la competencia de ciclismo.a) la redOb) el premioc) la tarjeta postald) el postre THEATER CAN YOU PLEASE HELP ME!!!!And if you don't answer the right question i will report you///////1. What are the positive and negative aspects of renting costumes? 8.5x -2(2x +8) = 11what is the answer Pls pls Pls pls Pls Pls help me pls pls pls pls pls pls ASAP pls pls pls Pls pls Pls pls Pls Pls help me pls pls pls pls pls pls ASAP pls pls pls Pls I WILLL BRAINLIEST!!!! Find the tip amount of a $30 bill with a 20% tip Polly stacked the tins from five boxes of cat food onto an empty shelf in a supermarket. There were 15 tins of cat food in each box. At the end of the week there were 20 tins left on the shelf. The rest of the tins had been sold. Write the number of boxes of cat food that had been sold, as: (a) A mixed number (b) An improper fraction different between central government and state government is 42,260 a rational or irriational number - separation of rights - rights of the accused -Checks and balances All of these are characteristics of which type of government?a) monarchyb) autocracyc) limited government d) unlimited government A model car is for sale online. The owner discounts the price by 5% each day until it sells. On the third day, the car sells. If the original price of the model car was $40, how much did the car sell for to the nearest cent? This is not the movie that Alicia ordered. Look for the pronoun and antecedent Slope point formpassing through (4,-7) with x intercept = -4 ANALYZING How does Pericles characterize Athens? Explain your answer. A force of 75 N at an angle of 15 to the direction of motion moves a chair 3 m. Which change would result in more work being done on the chair? How did cash crops lead to slavery and indentured servitude? Cullumber Company has the following balances in selected accounts on December 31, 2020. Accounts Receivable $0Accumulated DepreciationEquipment 0Equipment 8,000Interest Payable 0Notes Payable 10,000Prepaid Insurance 3,960Salaries and Wages Payable 0Supplies 2,200Unearned Service Revenue 28,000All the accounts have normal balances. The information below has been gathered at December 31, 2020.1. Cullumber Company borrowed $11,400 by signing a 9%, one-year note on September 1, 2020.2. A count of supplies on December 31, 2020, indicates that supplies of $820 are on hand.3. Depreciation on the equipment for 2020 is $1,200.4. Cullumber Company paid $3,960 for 12 months of insurance coverage on June 1, 2020.5. On December 1, 2020, Cullumber collected $28,000 for consulting services to be performed from December 1, 2020, through March 31, 2021. The company had performed 1/4 of the services by December 31.6. Cullumber performed consulting services for a client in December 2020. The client will be billed $4,200.7. Cullumber Company pays its employees total salaries of $5,400 every Monday for the preceding 5-day week (Monday through Friday). On Monday, December 29, employees were paid for the week ending December 26. All employees worked the last 3 days of 2020.Required:Prepare adjusting entries for the seven items described above. Plsss can i get this asap Based on your knowledge of Realism, which of the following scenes would a Realist artist most likely want to paint?a. a scene from the inauguration of a new Presidentb. a single mother with her children on the subwayc. a marathon runner crossing the finish lined. a mountain stream running through a meadow x squared is equal to 16 to the power x.find the value of x What was a polis?a city-statea city centera marketplacea gathering space On a cold morning, the temperature at 7AM is -10 degrees F and rises two degrees per hour. What will the temperature be at noon?Answer:Equation:Hours after 7AM (x) 0, 1, 2Temp in F (y) -10, -8, -6Use these for your coordinatesAnswer the question, provide the equation, fill in the table and create the graph.