Points A, B, and C are collinear. Point B is the midpoint of AC. AB=12x-398. BC=22.
Solve for x. *

Answer:

yoi look for what you add to the equation to make it a perfect square by dividing 6 by 2 then add 2^2 to both sides.

Answer:

the cost of the three new CDs is $44.28

Step-by-step explanation:

Here in this question, we are interested in calculating the cost of 3 new CDs cost.

From the question, we already know the cost of one. The cost of three would be 3 multiplied by the cost of one.

The cost of the three excluding the sales tax = $13.79 * 3 = $41.37

The sales tax for the three pieces = 3 * $0.97 = $2.91

The cost of the three CDs including the sales tax = $41.37 + $2.91 = $44.28

Answer:

(-10, 5)

Step-by-step explanation:

(10, -20), (-30, 20), (35, -20) ⇒ these points are not on the line, so they don't form a proportional relationship with the graph.

(-10, 5) ⇒ this point is on the line, so it forms a proportional relationship with the graph.

Please tell me if I'm wrong. I might be wrong, but I'm trying my best to help..

Answer:

I believe 1 4/10 further

Answer:

56

Step-by-step explanation

First, let's let's evaluate the numerator and denominator separately.

The numerator: (-2)^2(3)(4) - (-1) = 48 + 1 = 49

The denominator: (-2)^2 = 4

Now that the numerator and denominator are simplified, let's take the square root of 49/4

sqrt(49/4) = 3.5

Answer:

Sample response: The absolute value symbol in the equation indicates two solutions because absolute value is the distance from a number to zero on a number line. Two different directions, to the right and to the left, will determine the

Step-by-step explanation:

Answer:

[tex]x = -\frac{10}{3}[/tex]

Step-by-step explanation:

I hope this helps!

Answer:

Step-by-step explanation:

Answer:

1 * 10^12

Step-by-step explanation:

Scientific notation is a representation of a large number in a short form. The answer, 1*10^12 (read as ten to the twelfth power) essentially says that the number when expanded is 1 with 12 zeros appended to it. If you did a number like 7 trillion you would have 7 * 10^12.

Same thing can be applied for 1,000,000 (one million).

1 * 10^6 because one million has 6 zeros appended to it.

x = > R

y = > [ 0 , infinity )

Domain :

f ( x ) = | x + 6 |

Clearly we can put any value for f ( x )

x = > R

Range :

Using input restriction:

For min of x = - 6

y belongs to [ 0 , infinity )

Hence we get answer.

Answer:

if I am correct I believe it should be 1153.5 calories

First coupon:

89 - 50 = $39 (discount price)

Second coupon:

50% = 0.5

89 * 0.5 = 44.5

89 - 44.5 = $44.5 (discount price)

39 < 44.5

Therefore, the better option is using the $50 off one item.

Best of Luck!

Answer:

the approximate value of the square root of 8 is 2.828

9^c = 243

3^(c)*2 = 243

3^(c)*2 = 3^5

Since the bases are the same the powers can be equated.

2*c =5

c = 5/2

c = 2 1/2

Check

9^2.5 = 243

Use the ^ or y^x or x^y key

Answer:

  (7√3)/3

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation between sides of a right triangle and angles.

  Tan = Opposite/Adjacent

That means ...

  tan(30°) = x/7

Multiplying by 7, we have ...

  x = 7·tan(30°)

  x = (7√3)/3

Answer: 1,000

Step-by-step explanation:

1,750 divided by 1.75 =1,000

Answer:

1,000

Step-by-step explanation:

If the class wants to raise a total of $1,750 and make a profit of $1.75 from each candy bar that gets sold then you take the total and divide it by the amount of profit each bar makes. So you do 1,750 divided by 1.75 and that gives you 1,000. So the class must sell 1,000 candy bars to reach their goal.

Answer:

x= 20

Step-by-step explanation:

Step 1- Distribute into the parenthesis.

3x-1(3)-8= 1(4)+4x+5

Step 2- Multiply

3x-3-8= 4+4x+5

Step 3- Add.

3x-3-8= 4x+9

Step 4- Subtract 3x to both sides to move the variable to one side.

3x-11= 4x+9

-3x     -3x

Step 5- Subtract 9 to both sides.

-11= 1x+9

-9       -9

-20= x

Exchange the signs.

20= x

Answer:

x = -20

Step-by-step explanation:

3(x - 1) - 8 = 4(1+x) + 5​

3x - 3 -8 = 4 + 4x + 5

3x - 11 = 9 + 4x

-x = 20

x = -20

Answer:

x = 3/2 y + 3

Step-by-step explanation:

2x – 3y = 6.

Add 3y to each side

2x – 3y+3y = 3y+6.

2x = 3y+6

Divide each side by 2

2x/2 = 3y/2 + 6/2

x = 3/2 y + 3

Answer: -15

Step-by-step explanation:

200

-215

-  15

Hope this helped

Answer:

The answer is y = -15x + 35.

Step-by-step explanation:

We want to isolate y, so we cancel everything on that side of the equals except y. We begin with the term farthest away from y, which would be 3x. Since it is positive, to cancel it we will subtract. This will give us 1/5y = 7-3x.

Next we want to cancel the 1/5. Since it is directly beside y, this means it has been multiplied; to cancel, we will divide. Divide both sides by 1/5, and we have y = (7-3x)÷(1/5). When we divide fractions, we flip the second one and multiply; this means we have y=(7-3x)*5.

Using the distributive property, we have y=7*5-3x*5, which gives us y=35-15x. We can write this as y=-15x+35.

Answer:

y = 35 - 15x

Step-by-step explanation:

Given

3x + [tex]\frac{1}{5}[/tex] y = 7 ( subtract 3x from both sides )

[tex]\frac{1}{5}[/tex] y = 7 - 3x ( multiply both sides by 5 to clear the fraction )

y = 5(7 - 3x) , that is

y = 35 - 15x

Answer:

B

Step-by-step explanation:

Answer:

The Answer is 1 and 4

Step-by-step explanation:

Because there is only 4 numbers.

Step-by-step explanation:

0, _, _, 2, 8/3, ...

Write each number as a multiple of 1/3.

0/3, _, _, 6/3, 8/3, ...

The common difference is 8/3 − 6/3 = 2/3.  So the other two terms are 2/3 and 4/3.

Answer:

12

Step-by-step explanation:

This question is not complete

Complete Question

Students in a pre-algebra class are given the polynomial 12x²y - 6xy +18y² and told to factor out the greatest common factor.

Which student has made the correct choice? (1 point)

a) Delia chose 3y because she said that it was a factor of every term.

b) Pedro chose y because he said that the greatest common factor can be found only by looking at the variable terms.

c) Mike chose 6y because he said that it was the largest factor of every term. d) Marisol chose 6 because she said that it was the only greatest common factor in each term.

Answer:

c) Mike chose 6y because he said that it was the largest factor of every term.

Step-by-step explanation:

Step 1

Identify the GCF of the coefficients.

12x²y - 6xy + 18y²

Coefficients are :

12, 6, 18

The Greatest Common Factor for 12, 6, 18 =

The factors of 6 are: 1, 2, 3, 6

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 18 are: 1, 2, 3, 6, 9, 18

Then the greatest common factor is 6.

Step 2

Identify the GCF of the variables.

x²y , xy, y²

The GCF of these variables is y

Step 3

Combine to both GCF's to obtain the GCF of the expression.

= 6 × y

= 6y

The Greatest Common Factor for the expression 12x²y−6xy + 18y² is 6y

Step 4

We factorise

= 12x²y−6xy + 18y²

= 6y(2x² - x + 3y)

Therefore, Option c) Mike chose 6y because he said that it was the largest factor of every term is the correct option.

Mike is correct.

Answer:

It will take both faucets 200 minutes to fill a pool with 9,000 liters of water

Step-by-step explanation:

Here, we want to know the time it will take for both faucets to fill a pool with 9,000 liters of water

What we need here is to have a joint rate for both faucets;

For the first faucet, we have a rate of 100 liters per 5 minutes so this means in a minute;

100/5 = 20 liters per minute

For the second faucet, the per minute rate will be 100/4 = 25 liters per minute

So therefore, the joint rate will be;

25 liters per minute + 20 liters per minute = 45 liters per minute

So the time needed to fill 9,000 liters of water in a pool will be ;

9000 liters/ 45 liters per minute = 200 minutes

Answer:

C is not considered as not a function

Step-by-step explanation:

Due to 0 goes 2 ranges

Answer: (b) 7.8 degrees

Step-by-step explanation: You need to pay attention to the number -8.4. It says the temperature changed by +2.7 degrees an hour for 6 HOURS. Therefore, your equation would be -8.4 + (2.7 * 6).

You have to solve whats in the parenthesis first, so your equation would end up being -8.4 + 16.2 making your answer 7.8 degrees.

Answer:

answer is b juicy how to do it

Answer:

5

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

2[32-3^3]

2[32-27]

2×5

10