When looking at a rational function f of x equals the quantity x plus three times the quantity x minus two times the quantity x plus five all divided by the quantity x minus three times the quantity x plus two times the quantity x minus 5 , Charles and Bobby have two different thoughts. Charles says that the function is defined at x = −2, x = 3, and x = 5. Bobby says that the function is undefined at those x values. Who is correct? Justify your reasoning.

Answer:

hope it help

Step-by-step explanation:

step by step naYn

It is given that Sylvia sells x number of bottles and Sam sells three times as many bottles as Sylvia sold to his co-workers.

So, number of bottles Sam sold is 3x.

It is also given that, number of remaining bottle Sylvia and Sam have same.

So,

24 - x = 36 - 3x

3x - x = 36 - 24

2x = 12

x = 6

Therefore, Sylvia sells 6 bottles.

Hence, this is the required solution.

Answer:

where are the graphs?

Step-by-step explanation:

Answer: $34.50

Step-by-step explanation:

If 3 bags of cat food cost $17.50 this means that 6 will be double that or $34.50.

Answer:

Here,

We know that,

Sum of interior angles of a heptagon=900°

So,

b+120+110+140+135+160+100=900

or, b+765= 900

or, b=900-765

Therefore, b= 135°

Answer:

135

Step-by-step explanation:

Answer:

4m +2(m+1) = 9m +5

4m +2m+2 = 9m +5

6m +2 = 9m +5

6m = 9m+3

-3m = 3

m = -1

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The answer is A. 1,512 cm^2

Answer:

-509

Step-by-step explanation:

h(t) = -16t² + 38t + 9

h(7) = - 16(49) + 38(7) + 9

h(7) = -784 + 266 + 9

h(7) = -509

Solution:

It should be noted:

To find h(7), let's find "t" by comparing h(7) and h(t).

Compare h(7) and h(t):

Now, find h(7) by substituting the value of t into the equation.

Substitute the value of t into the equation:

Thus, h(7) is -509.

Answer:

70

Step-by-step explanation:

triangle xbc is an isosceles triangle.

there are 180 degrees in a triangle.

angle xbc=55.

so that means angle xcb is also 55.

55+55=110

180-110=70

hope this helps

Answer:

8-8/8+8

Step-by-step explanation:

answer = 8-8/8+8

            = 8-1+8

            = 7+8

            = 15

d = log₂p represents a logarithmic function, The expression log₂(10) tells us when the population reaches 10,000 and the equation 7 = log₂(128) tells us that the population reaches 128,000 in 7 days.

An exponential function is in the form:

y = abˣ

Where a is the initial value of y and b is the multiplication factor.

Let p represent the bacteria population in thousand after d days.

Since each day, the bacteria population grows by a factor of 2, hence:

[tex]p=2^d[/tex]

Hence, d = log₂p represents a logarithmic function

The expression log₂(10) tells us when the population reaches 10,000 and the equation 7 = log₂(128) tells us that the population reaches 128,000 in 7 days.

Find out more on exponential function at: https://brainly.com/question/12940982

Answer:

y=(5+3x)/5

Step-by-step explanation:

first you need to know what is slope intercept form, if not i can't help.

You need to know the property of it.

3x/5 is the slope and 5/5 is the the y-intercept.

you can try substitute some numbers like x=0, y=0.

hope help but i think you can know it from textbook.

Take y as a subject.

Using sampling concepts, it is found that the correct option is given by:

D. Move-Em-Out because the sample is not biased.

It is when a group is taken from a population, and the data taken from the group can be taken to estimate the data for the entire population. A sample has to be representative of the population, that is, it has to avoid bias.

In this problem, the sample from Pack-and-Move was taken only from people who appeared in their commercials, meaning that the sample is biased, as these people are more likely to report high satisfaction, hence option D is correct.

More can be learned about sampling concepts at https://brainly.com/question/25122507

Step-by-step explanation:

[tex]33 + (123) = ( - 6)[/tex]

[tex]33 + 123 = ( - 6)[/tex]

[tex]156 = ( - 6)[/tex]

[tex] = - 6 - 156[/tex]

[tex]answer[/tex]

[tex] - 162[/tex]

hope it helps

brainliest please

[tex]\huge{\boxed{{B.O.D.M.A.S }}}[/tex]

[tex]\small \bold\pink{→}\small \bold{33+ (67+56) = (-6)}[/tex]

[tex]\small \bold\pink{→}\small \bold{33 + 123 = (-6)}[/tex]

[tex]\small \bold\pink{→}\small \bold{156 = (-6)}[/tex]

[tex]\small \bold\pink{→}\small \bold{-6-156}[/tex]

[tex]\small \bold\pink{→}\small \bold{-162}[/tex]

Answer:

y= -7+3x

The slope of the line is 3 and the intercept on the y-axis is 7.

Step-by-step explanation:

The slope-intercept form of the equation of a line is y=mx+c, where "m" is the slope of the line and "c" is the intercept of the line on the y-axis.

To find the slope and intercept of 6x+2y=14, you should solve for "y".

From the equation we get;

2y=-6x=14 or dividing each side by 2, we'll get y=3x+7.

Answer:

Domain: (−∞,∞), {x|x∈R}

Range: (−∞,∞), {y|y∈R}

Answer:

1898

Step-by-step explanation:

414(2)+535(2)=P

828+1070=P

1898=P

Answer:

Step-by-step explanation:

B

The set that represents a Pythagorean triple  is B: 33, 44, 55

A Pythagorean triple consists of three positive integers such that the square of the larger one of them is equal to the sum of the squares of the other two .

Let (a, b, c) represents a Pythagorean triple where a, b, c  are positive integer and a is the larger one  then a² = b² + c²

For A: 27 ,38, 42

Let a = 42 , b= 38 ,c= 27

⇒a² = 42² = 1764

and b² + c² =  38² + 27² = 1444 + 729 = 2173

∴a² ≠ b² + c²

Thus , A: 27 ,38, 42 is not a Pythagorean triple

For B: 33 ,44, 55

Let a = 55 , b= 33 ,c= 44

⇒a² = 55² = 3025

and b² + c² =  33² + 44² = 1089 + 1936 = 3025

∴a² = b² + c²

Thus , B: 33 ,44, 55  is a Pythagorean triple

For C: 35 ,38, 42

Let a = 42 , b= 35 , c= 38

⇒a² = 42² = 1764

and b² + c² =  35² + 38² = 1225 + 1444 = 2669

∴a² ≠ b² + c²

Thus ,   C: 35 ,38, 42 is not a Pythagorean triple

For D: 68 ,72, 81

Let a = 81 , b= 68 , c= 72

⇒a² = 81² = 6561

and b² + c² =  68² + 72² = 4624 + 5184 = 9808

∴a² ≠ b² + c²

Thus ,  D: 68 ,72, 81  is not a Pythagorean triple

Therefore, Only set B: 33, 44, 55 represents a Pythagorean triple.

Also, Learn more about Pythagorean triple from the link below:

https://brainly.com/question/15190643

#SPJ2

Answer:

b

Step-by-step explanation:

just took it

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

Work Shown:

|3x+12| = 18

3x+12 = 18 or 3x+12 = -18

3x = 18-12 or 3x = -18-12

3x = 6 or 3x = -30

x = 6/3 or x = -30/3

x = 2 or x = -10

The rule used in step 2 is the idea that if |x| = k, for some positive number k, then x = k or x = -k. One equation breaks into two separate ones. From there we solve each equation for x as normal. Follow PEMDAS in reverse, undoing each operation, to isolate x.

If you're curious why the absolute value breaks into two parts, consider something like |x| = 7. This means x is 7 units away from zero on a number line. There are two possible locations where x could be: 7 and -7. This is one example showing why we get two different results. The same applies to our equation as well, just it's a bit more complicated.

Answer: True, perpendicular lines intersect so if the lines didn’t they wouldn’t be perpendicular

Step-by-step explanation:

Answer:

Five multiplied by a number increased by seven.

Two multiplied by a number increased my three.

Step-by-step explanation:

Answer: one CD cost $12 and  one DVD cost $15 .  

Step-by-step explanation:

In this situation we will represent the cost o one CD by x and the number of  one DVD by y.  Four CDs  plus five DVDs cost 123  so we will represent it by the equation  4x + 5y = 123  

The same or the second part of the statement. 2 CDs plus 4 DVDs cost $84  so we will also represent that by the equation , 2x + 4y = 84

Since we have two equations we will use it to solve or x and y using the elimination method.

4x + 5y = 123

2x + 4y = 84         Multiply the down equation by -2 to eliminate the x variable.

-2(2x + 4y ) = -2(84)

-4x -8y = -168    

We will now have the new equations ,

4x + 5y = 123

-4x - 8y = -168    Add both equations to      

      -3y = -45  

        y= 15  

This means each DVD cost $15 .

Now we will now have to solve for x by plotting in the value of y into the equation .

4x + 5(15) = 123

4x + 75 = 123

      -75     -75

4x = 48  

x = 12        

This also means that  one CD cost $12.

Answer:

Area is the total place within the space.

(not sure if that's the best way to describe it.)

Answer:

Area can be defined as the number of square units that cover up the surface of the shape.

Step-by-step explanation:

Answer:

LOL she has a negative balance of "-114.75"

Step-by-step explanation:

to solve, all you need to do is "200-115.25-350+150.5"

we subtract the 2 values since she wrote the checks for someone to cash, which would empty from her bank, and then she made a deposit of 150.50, so we add that value.

please rate and mark as brainlest.

Answer:

22

Step-by-step explanation:

14+8 just reverse the sign and add the 2 given numbers

Answer: x = 22

Step-by-step explanation: First, add 14 plus 8. 14 = 22 - 8. You should end up with a result of x = 22.

Answer:

60 km/hr.

Step-by-step explanation:

When Dad caught up the the time he had been  driving was 4 hours and the time Mom had been driving was 1 + 4 = 5 hours.

They both drove the same distance, d km.

For Dad:

speed = d / time

75 = d / 4

d = 75 * 4 = 300 km.

Mom took 5 hours to travel this distance, so

Mom's speed was 300 / 5 = 60 km/hr.

Step-by-step explanation:

Answer:

a solid 50 km/hour

Step-by-step explanation:

Here's your answer, folks:

Without substitution, yes, here? No.

The value of the substituted numbers is essential to finding the correct answer in algebra.

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

5 x 3 = 15

15 squared or cubed = 15 x 15 || 15 x 15 x 15

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

In that case, 15 times a number could not possibly be equal to 5 x 3 unless x was actually 1, which we do not know.

Answer:

NO

Step-by-step explanation:

5*3^x[tex]\neq[/tex]15x

because 3 is raised to the x power not multiplied by it, so it is not equal

Answer:

1/2 x^2 + 2x - 6 = 0

(1/2 x - 1)(x + 6) = 0

zeroes are 2 and -6

so the graph intersects x axis at -6 and 2

The only one to do that is diagram A

Step-by-step explanation: