Consider the equation
2/3(12 – Ax) – 4 = 9(6 x + B).
What values for A and B will result in an equation that has infinite solutions?

Answers

Answer 1

Answer:

A = -81

B = 4/9

Step-by-step explanation:

An equation that has infinite solutions suggests that the left side equals the right side.

Expand brackets:

      [tex]\dfrac23(12-Ax)-4 = 9(6 x + B)[/tex]

[tex]\implies 4-\dfrac23Ax = 54x+9B[/tex]

Equate coefficients of x:

[tex]\implies -\dfrac23A=54[/tex]

[tex]\implies A=-81[/tex]

Equate constants:

[tex]\implies 4=9B[/tex]

[tex]\implies B=\dfrac49[/tex]


Related Questions

Question #12: There are 15 pieces of fruit in a bowl. 6 of them are pears. What
percentage of the total fruit in the bowl are pears?

Answers

since our denominator in 6/15 is 15, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:

100 ÷ 15 = 6.6666666666667

Once we have that, we can multiple both the numerator and denominator by this multiple:

6 x 6.6666666666667/15 x 6.6666666666667

= 40/100

Now we can see that our fraction is 40/100, which means that 6/15 as a percentage is 40%.

We can also work this out in a simpler way by first converting the fraction 6/15 to a decimal. To do that, we simply divide the numerator by the denominator:

6/15 = 0.4

Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:

0.4 x 100 = 40%

And there you have it! Two different ways to convert 6/15 to a percentage. Both are pretty straightforward and easy to do, but I personally prefer the convert to decimal method as it takes less steps.

Answer:

40%

Step-by-step explanation:

6/15 = 0.4 = 40%

All these mean the same them, but what we are looking for is a percentage, which is 40%.

Hope that helps!

Astorepays$16foratoaster.Thestoremarksupthepriceby45%.Whatistheamountofthemark-up?

Answers

Answer:

The total would be $23.20, and the price per whatever goes to $7.20,

Step-by-step explanation:

Top

employee worked 8 hours on 2 days and 6 hourson 1 day and 4 hours on 2 days what is the average number of hours worked per day

Answers

Answer:

4hours

6hours

2hours

Step-by-step explanation:

if you add it all the equal is 12hours

#carry on learning

n=2d²-5 when d=-2 what does n=?

Answers

Step-by-step explanation:

Substitute d=-2 into the equation:

[tex]n = 2( - 2)^{2} - 5[/tex]

Include the exponent:

[tex]n = 2(4) - 5[/tex]

Multiply:

[tex]n = 8 - 5[/tex]

Subtract:

[tex]n = 3[/tex]

Prompt
Why is the annual interest rate more important to a borrower who carries a balance than to a borrower who pays off the balance monthly?

Answers

Answer:

Interest to be paid will keep on reducing each month

Step-by-step explanation:

due to reduction of the principal amount. As a result the net interest output will be higher for a borrower who carries balance for the whole year compared to one who pays offs monthly.

Answer:

Who is paying is not as important as the interest rate. Either way, a lower rate will benefit the person who has the bill.

Step-by-step explanation:

(PLEASE HURRY, WILL GIVE BRAINLIEST TO CORRECT PERSON)

Which transformation was applied to ABC to transform it to DEF?


o A. Reflection over the x-axis

o B. Rotation about the origin

o C. Translation

o D. Reflection over the y-axis

Answers

Reflection over the X axis

WILL GIVE BRAINLIEST
Consider this equation and inequality. "-x/3+7=4" and "-x/3+7<4" (a)Solve the equation and inequality and show your work.

Answers

Answer: equation: x=9 inequality: x>9

Step-by-step explanation: screenshots

How do I solve 6x-15+52=11x-12?

Answers

Answer:

x = 49/5 (fraction)

Step-by-step explanation:

Add and subtract the numbers: -15 + 52 =37

6x+37=11x-12

Subtract 37 on both sides:

6x+37-37=11x-12-37

Simplify:

6x=11x-49

Subtract 11x from both sides:

6x-11x=11x-49-11x

Simplify:

-5x=-49

Divide both sides by -5

-5x/-5=-49/-5

= 49/5

The answer is 49/5 bc you and and subtract the numbers subtract 37 from each side

i need help with this​

Answers

Answer:

it should be d.

Step-by-step explanation:

volume of a cone = π x r² x h

volume = π x 4.5² x 3.5

volume = π x 70.825

volume = 222.66 cubic metres

HELP!!!!!!!!!!!!!! I'LL GIVE 20 POINTS!!!!!!!!
Which statement is true about the effects of the transformations on the graph of function f to obtain the graph of function g.

g(x) = f(x) + 4

A.
The graph of function f is shifted up 4 units.
B.
The graph of function f is compressed vertically toward the x-axis by a factor of 4.
C.
The graph of function f is stretched vertically away from the x-axis by a factor of 4.
D.
The graph of function f is shifted down 4 units.

Answers

Answer:

A

Step-by-step explanation:

The constant 4 is positive so the graph is shifted up by 4 units. If it was instead -4, then the graph would have been shifted down 4 units

PLSS HELP


Using the above rule, extract the square roots of the given quadratic equation.
(x + 5)2 = 18
x + 6 = IV
x + 6 = 13

Answers

Step-by-step explanation:

[tex] \sqrt{(x + 6) ^{2} } = \sqrt{18} \\ x + 6 = + - \sqrt{18} \\ x + 6 = + - \sqrt[3]{2} [/tex]

2.
Snow is falling at a rate of 14 in. in 7
hours. Write an equation to represent the
proportional relationship between the
number of hours x, and the amount of
Snow y.

Answers

Answer:

srry im doing a thing

where i have to do 30 Q to get $300

Step-by-step explanation:

4. Find m2ABD.
B
(9x -22)
it
(6x - 7) -
A
D
С

Answers

Answer:

  23°

Step-by-step explanation:

There is not enough information given in this diagram to provide values for the marked angles. In order to solve the problem, we must assume some relation between those angles.

If they are equal, then ...

  9x -22 = 6x -7

  3x = 15 . . . . . . . . . . add 22-6x to both sides

  x = 5 . . . . . . . . divide both sides by 3

 m∠ABD = (9x -22)° = (9·5 -22)° = 23°

Bob is saving $250 to buy a new pair of AirPods. He already has $50. Bob is going to save $20 each week until he has enough money to purchase the AirPods.​

Answers

10 weeks is how long

witch product is less than

[tex] \frac{5}{8} [/tex]

Answers

Answer:

Everything that is lower than 5/8.

Step-by-step explanation:

It's pretty obvious.

You need to add 2 fractions up.

If it's lower than 5/8, then you are correct.

Find the product of (4x − 3)(2x2 − 7x 1). 8x3 − 22x2 17x− 3 8x3 8x2 4x − 3 8x3 − 34x2 25x − 3 8x3 − 42x2 25x − 3.

Answers

Product of two polynomials can be done by distribution of multiplication over addition. The product of  [tex](4x -3)(2x^2 -7x + 1)[/tex] is [tex]8x^3 - 34x^2 + 25x - 3[/tex]

What is distributive property of multiplication over addition?

Suppose a, b and c are three numbers. Then we have:

[tex]a(b + c) = a\times b + a\times c[/tex]

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The product result of the given expression is obtained as:

[tex](4x -3)(2x^2 -7x + 1) = 4x(2x^2 - 7x + 1) -3(2x^2 - 7x + 1)\\(4x -3)(2x^2 -7x + 1) = 8x^{1 + 2} - 28x^2 + 4x - 6x^2 + 21x - 3\\(4x -3)(2x^2 -7x + 1) = 8x^3 + (-28-6)x^2 + (4 + 21)x - 3\\(4x -3)(2x^2 -7x + 1) = 8x^3 - 34x^2 + 25x - 3[/tex]

Thus,

The product of  [tex](4x -3)(2x^2 -7x + 1)[/tex] is [tex]8x^3 - 34x^2 + 25x - 3[/tex]

Learn more about polynomial product here;

https://brainly.com/question/9106484

what’s the slope of this

Answers

The slope of the line is 4/3

Solve the system of equations by using substitution.
y = 2x+ 3
x-y=-2

Answers

Answer:

the answer is (-1, 1)

Step-by-step explanation:

i hope this helps

what is the factor form of r^27 - s^30

Answers

Answer:

(r^9−s^10) (r^18+r^9s^10+s^20)

What are the zeros of the polynomial function?

f(x)=x2+9x−70

Enter your answers in the boxes.

Answers

X+14=0
X-5=0

The zeroes are. -14 and 5

Error Analysis Taniya incorrectly says that the solution of the system of equations is (-8,-4). What is the correct solution? What error might Taniya have made? 5g - 2h = -4 8 = h - 4g ​

Answers

Answer:

[tex](-2,-1)[/tex]

Step-by-step explanation:

Actually Welcome to the Concept of the linear equations.

answer is [tex](-2,-1)[/tex]

[tex]g=-2,[/tex]  [tex]h=-1[/tex]

Brainliest?!

Guys I’m sorry for so many questions I’m not smart

But anyway can y’all help me plz

Answers

Answer:

Its B

Step-by-step explanation:

The answer is B

pls give brainlest thanks

Money of Rp. 24,000.00 can buy 3 kg of apples. If Anto buys apples with money
Rp. 40,000.00, how many kg of apples did he get?

Answers

Answer:

5 Kg of apples

Step-by-step explanation:

cost of apples per kg = 24000.00/3

=8000.00

amount of apples bought = 40000.00/8000.00

=5 Kg

He got 5kg of apples with Rp.40,000.00

I need help fast……….

Answers

Answer:

all real numbers

the domain of any parabola is all real numbers because it gets wider.

What is the exact value of cot
co (3 pie/4)?

Answers

Answer:

cot (3ocπ/4)⠀⠀

Jana had a bake sale raising money for the March of Dimes Foundation. She sold 30 bags of popcorn and made $90. She sold 15 chocolate chip cookies and made $20. She sold 80 sodas and made $160. She sold 50 bags of chips and made $90. Find the unit price of each item. What was the MOST EXPENSIVE item she sold?

Answers

Answer:

popcorn was the most expensive at 3 dollars

Step-by-step explanation:

90/30=3 each

20/15=1.3 each

160/80=2 each

90/50=1.8 each

Answer:

popcorn 3 dollars I am pretty sure it's right

i need help with this ​

Answers

Answer:

B, I believe

Step-by-step explanation:

s=3d-250

s-3d = -250

s=d-208

s-d =-208

Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term. -35, -45, -55, -65

Answers

Answer: The Given sequence is 9, 10, 11, 12

We need to find the expression to describe the sequence.

Let  be the  term of the sequence.

Let n represent the position of the term.

Let a be the first term in the sequence.

and d be the common difference between the sequence

Hence the expression to find the above sequence is given below;

when n=1 d= 1 a = 9

when n=2 d= 1 a = 9

when n=3 d= 1 a = 9

when n=3 d= 1 a = 9

Hence the expression is

Step-by-step explanation:

What is the equation of a line that goes through the point (0, 2) and has a slope of 1?
O 2y = x
O y = x + 2
O y = - x + 2
O y = 2x + 1

Answers

Answer:

O y= x + 2

Step-by-step explanation:

Plug in the numbers into y=mx+b

m= slope= 1

b= y intercept= 2

y= x +2

Aiden budgeted $250 to buy new furniture for his apartment.He spent 156 on lamps.He wants to buy two rugs for 205 dollars.How much more money does Aiden need to save to buy the two rugs.

Answers

Answer:

Aiden needs $121 more to buy the lamps.

Step-by-step explanation:

(250-156) + x = 205

84 + x = 205

x = 205 - 184

x = 121

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