Match the property of equality with the example that models the property.
multiplication property of equality
55/11 = 11x/11
addition property of equality
3x - 4 + 4 = 12 + 4
subtraction property of equality
(4x)(1/4) = (3)(1/4)
division property of equality
(1/2) + 5x -(1/2)=8-(1/2)

2x+6=x+14

move x to the other side

sign changes from +x to -x

2x-x+6= x-x+14

2x-x+6= 14

x+6=14

move +6 to the other side

sign changes from +6 to -6

x+6-6=14-6

Answer: x= 8

0.13793103448

Just simple long division.

Answer:

4,500

Step-by-step explanation:

150 x 30

15 x 3 = 45, add 2 0's at end, 4,500

Answer:

Option c is correct answer

Step-by-step explanation:

See answer in above picture

Answer:

C. -11+2i

Step-by-step explanation:

Answer:

17 = 17^1

Step-by-step explanation:

Factor the following integer:

17

17 is not divisible by 2 since 17 is odd and 2 is even:

17 = 17 (17 is not divisible by 2)

The sum of the digits of 17 is 1 + 7 = 8, which is not divisible by 3. This means 17 is not divisible by 3:

17 = 17 (17 is not divisible by 2 or 3)

The last digit of 17 is not 5 or 0, which means 17 is not divisible by 5:

17 = 17 (17 is not divisible by 2, 3 or 5)

Divide 7 into 17:

| | 2 | (quotient)

7 | 1 | 7 |  

- | 1 | 4 |  

| | 3 | (remainder)

17 is not divisible by 7:

17 = 17 (17 is not divisible by 2, 3, 5 or 7)

The alternating sum of the digits of 17 is 1 - 7 = -6, which is not divisible by 11. This means 17 is not divisible by 11:

17 = 17 (17 is not divisible by 2, 3, 5, 7 or 11)

Divide 13 into 17:

| | | 1 | (quotient)

1 | 3 | 1 | 7 |  

| - | 1 | 3 |  

| | | 4 | (remainder)

17 is not divisible by 13:

17 = 17 (17 is not divisible by 2, 3, 5, 7, 11 or 13)

No primes less than 17 divide into it. Therefore 17 is prime:

17 = 17

Since 17 is prime it has an exponent of 1:

Answer:  17 = 17^1

Answer:

(3x - 1)(3x + 1)

Step-by-step explanation:

9x² - 1 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

here 9x² = (3x)² ⇒ a = 3x and 1 = 1² ⇒ b = 1, thus

9x² - 1

= (3x)² - 1²

=(3x - 1)(3x + 1) ← in factored form

Answer:

8 1/6

Step-by-step explanation:

X - 1/6 = 8

Carry over the 1/6

X = 8 + 1/6

X = 8 1/6

To find out if X is correct

X (8 1/6) - 1/6 = 8

Answer:

With an HMO plan, you pick one primary care physician. All your health care services go through that doctor. That means that you need a referral before you can see any other health care professional, except in an emergency. Visits to health care professionals outside of your network typically aren’t covered by your insurance.

PPO plans give you flexibility. You don’t need a primary care physician. You can go to any health care professional you want without a referral inside or outside of your network.

Staying inside your network means smaller copays and full coverage. If you choose to go outside your network, you'll have higher out-of-pocket costs, and not all services may be covered.

This got me 100% on the assignment!

PPO plans give you flexibility. You don’t need a primary care physician. You can go to any health care professional you want without a referral inside or outside of your network.

Staying inside your network means smaller copays and full coverage.

HMO providers are paid on a per-member basis, regardless of the number of times they see a member.

This makes HMO plans a more economical choice than PPOs. An HMO generally only covers care received from the plan's contracted providers, known as “in-network” providers.

PPO plans generally are more expensive than HMO plans. However, due to the pooling of people in a PPO network, fees associated with health care will be lower for participants.

In other words, you will pay far less for services if you are in a PPO plan vs. not having insurance at all.

So, the person choose a PPO over a HMO.

For details about PPO and HMO click the link given below.

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Answer: your answer is

7a hope this helps you

Step-by-step explanation:

Answer:

[tex]a=\frac{3}{4} +\frac{b}{4}[/tex]

Step-by-step explanation:

4a - b = 3

    + b + b

4a = 3 + b

Divide 4 on both sides.

[tex]a=\frac{3}{4} +\frac{b}{4}[/tex]

Answer: C

Step-by-step explanation: On Edge 2020

D) The data is symmetrical, showing that the majority of the monthly rainfall amounts was less than 2.01 or greater than 4 inches.

A graph is said to be symmetric about a line if the graph remains unchanged when we reflect the graph on one side of the line to the other side.

Given is a histogram representing the amount of rainfall in the last 4 years or 48 months.

So the graph is symmetrical if we draw a line at the point 3.

Amount of rainfall is 0 - 1 inches for first 11 months. Then it is 1.01 - 2 inches for the next 8 months. Then 2.01 - 3 for the next 5 months and again 3.01 - 4 for the next 5 months. Then it is 4.01 - 5 and 5.01 - 6 for the next 8 years and 11 years respectively.

19 months has the rainfall less than 2.01 inches.

19 months has the rainfall greater than 4 inches.

Only 48 - (19 + 19) = 10 months are having rainfall in between 2.01 and 4.

So majority of the monthly rainfall amounts was less than 2.01 or greater than 4 inches.

Hence the correct option is D.

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Your question is incomplete. The complete question with the missing part is below.

The amount of rainfall each month over the past four years is shown below.

Which statement must be true according to the histogram?

A) The data is skewed, showing that the majority of the monthly rainfall amounts was between 2.01 and 4 inches.

B) The data is skewed, showing that the majority of the monthly rainfall amounts was less than 2.01 or greater than 4 inches.

C) The data is symmetrical, showing that the majority of the monthly rainfall amounts was between 2.01 and 4 inches.

D) The data is symmetrical, showing that the majority of the monthly rainfall amounts was less than 2.01 or greater than 4 inches.

The answer would be negative 6 or -6.

Hope this helps!

The values for N can be any number between and including -6 and 6, because the phrase 'N is less than 6 units from 0' signifies absolute distance from zero on the number line.

In mathematics, when we say 'N is less than 6 units from 0', we are referring to absolute distance from zero on the number line. That means, N could be any number that falls within the range of -6 to 6, inclusive. This is because the less than 6 units from zero is referring to both directions on the number line. For example, -4 is less than 6 units away from 0, also 5 is less than 6 units away from 0. Thus, the possible values for N are any numbers between and including -6 and 6.

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Answer:

-5+9i

Step-by-step explanation:

-2+4i-3+5i=-5+9i

The solution of the expression ( -2 + 4i ) - ( 3 - 5i ) is -5 + 9i.

Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus.

Now the given expression is,

( -2 + 4i ) - ( 3 - 5i )

opening the brackets,we have

-2 + 4i - 3 + 5i

Rearranging them by taking alike terms together,

-2 -3 + 4i + 5i

Solving them, we get

-5 + 9i

Hence,the solution of the expression ( -2 + 4i ) - ( 3 - 5i ) is -5 + 9i.

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Where's the picture? I need to see the graph first. I wouldn't be able to find the 2 points if i couldn't see graph

Answer:

the four point cannot be on the same line , but they have to be on the plane.

A D C E

collinear means on the same line

so ABC

non-coplanar means the point do not lie on the same plane so you can include point F

F A D B

Answer: The answer is C because 1/2 - 1/5 = 3/10

Answer:

yes the first one is best answer because its a lower # to pay over time Step-by-step explanation:

Answer: =−60x2−40x

Step-by-step explanation:

(−10x)(4+6x)

=(−10x)(4+6x)

=(−10x)(4)+(−10x)(6x)

=−40x−60x2

=−60x2−40x

Answer:

18

Step-by-step explanation:

90 times 0.20 = 18

[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 90}}{\left( \cfrac{20}{100} \right)90}\implies 18[/tex]

Answer:

f(x) = x² + 2x - 3

Step-by-step explanation:

From the graph the zeros are x = - 3 and x = 1

Thus the factors are (x + 3) and (x - 1) and

f(x) = (x + 3)(x - 1) ← distribute using FOIL

     = x² - x + 3x - 3

     = x² + 2x - 3

Answer:

[tex]f^{-1}[/tex](x) = [tex]\frac{3-x}{3}[/tex]

Step-by-step explanation:

Let y = f(x) and rearrange making x the subject, that is

y = - 3x + 3 ( add 3x to both sides )

3x + y = 3 ( subtract y from both sides )

3x = 3 - y ( divide both sides by 3 )

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

Change x back into terms of y

[tex]f^{-1}[/tex](x) = [tex]\frac{3-x}{3}[/tex]

Answer:

The wrong in Rafael reason is that 3/6 = 4/8 = 1/2 pizza

Step-by-step explanation:

* Lets explain how to solve the problem

- When we have a quantity we can divided it to many equivalent

 fractions

- Equivalent fractions means fractions equal each other

- We can find the equivalent fraction by multiply or divide the two

 terms of the fraction by the same number

- Ex: We can divide a circle into two equal parts each part is 1/2 the

 circle, if we multiply each term of the fraction by 2 (up and down)

 then we will have 2/4 which is equivalent to 1/2 the circle

- Then we can divide the circle by 2 parts with many equivalent fractions

 1/2 = 2/4 = 3/6 = ..................

* Lets solve the problem

- Rafael wanted to order half a medium pizza

- The medium pizza could be cut into 6 or 8 slices

∵ The half of 6 is 3/6

∵ The half of 8 is 4/8

- Lets simplify the two fraction

∵ 3/6 = 1/2 by dividing up and down by 3

∵ 4/8 = 1/2 by dividing up and down by 4

∴ There is no difference between the two orders, both of them

   equal half the pizza

∴ The wrong in Rafael reason is that 3/6 = 4/8 = 1/2 pizza

Answer:

a. O = h - 40

b. 0, 4, 8, 12

Step-by-step explanation:

Let numver of overtime hours Jim workes for defined by O.

Standard working hours in a week for Jim = 40 Hours

If Jim is working for h hours then number of overtime hours will be given as difference between total hours he worked and standard working hours in a week.

⇒ O = h - 40

now, if jim has worked for 40, 44, 48 and 52 hours then his over time for all these cases will be

O = 40 - 40 = 0 Hours

O = 44 - 40 = 4 Hours

O = 48 - 40 = 8 Hours

O = 52 - 40 = 12 Hours respectively.

Answer:

C

Step-by-step explanation:

Gloria’s time was 2.5 minutes faster.

Richard’s Distance Past the Start Line

Time (minutes)             5      10    15      20     25

Distance (kilometers)  2.8    3.4   4.0    4.6    5.2

Now, as Gloria gave Richard a head start by letting him begin 2.2 kilometers in front of the start line.

So, Gloria’s Distance Past the Start Line would be

Time (minutes)             5       10     15     20    25

Distance (kilometers)  0.6     1.2    1.8    2.4   3.0

Gloria’s time was 2.5 minutes faster.

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Answer:

see explanation

Step-by-step explanation:

Given

x² + 4x + 6

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² + 4x

= x² + 2(2)x + 4 - 4 + 6

= (x + 2)² + 2

This does not reduce to a difference of squares and cannot be factored further

Answer:

negative 2.5

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

Step 1.

Take the absolute value of the negative number.

Now both numbers are positive.

Step 2.

Subtract the smaller positive number from the larger positive number.

Step 2.

The sign of the answer is the same sign as the number with the larger absolute value.

Answer:

To add a negative integer and a positive integer, just think of changing the negative integer to a positive one and subtracting this from the original.

Step-by-step explanation:

To add a negative integer and a positive integer, just think of changing the negative integer to a positive one and subtracting this from the original.

For example: 7 + -5. If you look, You are adding 5 negatives to a 7: you are subtracting 5 from 7. Subtracting a negative integer is the same as adding.

6 - -7, for example. You are subtracting 7 negatives from 6, or adding 7 to 6.

Answer:

b is the anwesr your looking for

Step-by-step explanation:

Answer:

b is it

Step-by-step explanation:

The distance between two numbers is the absolute value of their difference.

Note that the order doesn't matter, since the distance between A and B is the same as the distance between B and A, obviously:

[tex]d=|-4-5|=|-9|=9[/tex]

[tex]d=|5-(-4)|=|5+4|=|9|=9[/tex]

So, the two points are 9 units away.

The distance between the points -4 and 5 on a number line is 9 units, determined by subtracting -4 from 5 according to the rules of addition and subtraction of integers.

The question is asking for the distance between the points -4 and 5 on the number line. In mathematics, to calculate the distance between two points on a number line, we subtract the smaller number from the larger one. In this case, 5 is larger than -4, so we subtract -4 from 5. This involves the rules of addition and subtraction of integers, according to which subtracting a negative number is equivalent to adding the absolute value of that number.

So, to find the distance, we do: 5 - (-4) = 5 + 4 = 9. Following these rules of addition and subtraction of integers, we find that the distance between -4 and 5 on a number line is 9 units.

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Answer:

it is Horizontal

Step-by-step explanation: A Horizontal line is constantly on a single point on the Y axis this line is on the point 3

Answer is verticle

Step-by-step explanation:

Answer:

For the domain indicated, the range is  {-11, -7, -3, 1, 5}

Step-by-step explanation:

Given the indicated domain of f(x) you have to replace the values in the function to find the range (the "y" values of the function).

f(-2) = 5

f(0) = 1

f(2) = -3

f(4) = -7

f(6) = -11.

So the range for this domain is {-11, -7, -3, 1, 5}

Hence, the range for this domain is [tex](5,1,-3,-7,-11)[/tex].

What is the function?

A  function is a binary relation between two sets that associates every element of the first set to exactly one element of the second set.

Here given function is [tex]f(x)=2x+1;(-2,0,2,4,6)[/tex].

So,

[tex]f(-2) =- 2(-2)+1\\\\=4+1\\\\=5\\\\f(0) = -2(0)+1\\\\=1\\\\f(2) =-2(2)+1\\\\ =-4+1\\\\=-3\\\\f(4) =-2(4)+1\\\\ =-8+1\\\\=-7\\\\f(6) = -2(6)+1\\\\=-12+1\\\\=-11.\\[/tex]

Hence, the range for this domain is [tex](5,1,-3,-7,-11)[/tex].

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