"You have performed increasingly well this past year and you are earning a 6% pay increase to your current $62,900 annual salary."
Supervisor: "Thanks, I look forward to the additional __________ per month."

5.) x>20

11.)x≤−15

13.)x≥−21

2.)x≤−7

6.)x≤−45

10.)x≤10

12.)x≥−12

16.)x≤−4

Answer:

2. x ≤ -7

5. x > 36

6. x ≤ -40

10. x ≤ 10

11. x ≤ -15

12. x ≥ -12

13. x ≥ -21

16. x ≤ -4

Step-by-step explanation:

2. x ≤ -7 (You want to add 8 to both sides like any equation, but don't forget it is an inequality, not an equation!)

5. x > 36 (You need to multiply by 2, to get rid of the division. So multiply both sides by 2, that gets rid of the 2 on the one side, and you get 36 on the other side when you multiply 18 by 2).

6. x ≤ -40 (You need to multiply by -5. REMEMBER: When you multiply or divide by a negative, you switch the sign. So if it is a < then it would be a > and same with if you had ≤ then it would be ≥ instead).

10. x ≤ 10 (You need to divide by -2. And once again you switch the signs).

11. x ≤ -15 (Add 8, like you did in number 2).

12. x ≥ -12 (Multiply by 6. REMEMBER: Do NOT switch the signs if you the number you are dividing by is in the numerator, or if you multiply and the negative number is first, UNLESS you have 2 negatives.

13. x ≥ -21 (Multiply by 7).

16. x ≤ -4 (Divide by 10).

Answer:

y = 1/2x + 2.5

Step-by-step explanation:

First we want to plug it into the [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. This gets us 6-2/7-(-1) which solves to 4/8 which simplifies to 1/2. This gives us the slope. Now, when using slope intercept form y = mx + b, we can plug our newly found slope in for m and get y = 1/2x + b. To find b plug in any point on the line into the equation, I chose (7,6) because we are given that, and both numbers are positive. Now plug those in for x and y. 6 = 1/2(7). Solve, and get 2.5. are final equation is

y = 1/2x + 2.5

Answer:

The medium is the middle of something. More like math thought. So what even the numbers are it will be the middle.

Step-by-step explanation:

Answer: Any item that can be traded for another item.

Step-by-step explanation: took the quiz

Answer:

18049/14= 1289 with a remainder of 3

Answer:

3

Step-by-step explanation:

Answer:

The critical t-value for such a test given an alpha level of 0.05 is 2.26

Step-by-step explanation:

Null hypothesis : [tex]H_0:\mu = 7.5[/tex]

Alternate hypothesis :[tex]H_a:\mu \neq 7.5[/tex]

Population mean = [tex]\mu = 7.5[/tex]

Data : 10, 9, 6, 11, 13, 14, 9, 9, 9, and 10

Mean = [tex]\bar{x}=\frac{\text{Sum of all observations}}{\text{no. of observations}}[/tex]

Mean =[tex]\frac{10+9+6+11+13+14+9+9+ 9+ 10}{10}[/tex]

Mean =10

Standard deviation : [tex]\sqrt{\frac{\sum(x-\bar{x})^2}{n}}[/tex]

Standard deviation :[tex]\sqrt{\frac{(10-10)^2+(9-10)^2+(6-10)^2+(11-10)^2+(13-10)^2+(14-10)^2+(9-10)^2+(9-10)^2+(9-10)^2+(10-10)^2}{10}}[/tex]

Standard deviation s :2.144

[tex]t = \frac{x-\mu}{\frac{s}{\sqrt{n}}}t = \frac{10-7.5}{\frac{2.144}{\sqrt{10}}}t=3.687[/tex]

Df = n-1 = 10-1 = 9

T critical =[tex]t_{(df,\alpha)}=t_(9,0.05)=2.26[/tex]

T calculated > T critical

So, We failed to accept null hypothesis

Hence the critical t-value for such a test given an alpha level of 0.05 is 2.26

Answer:

None of the options are correct, but I got g(x)=1/2x+2.

Step-by-step explanation:

You start with the equation. You first need to change f(x) to y, and switch the x and y values. After this, your equation would be x=2y-4. Then, you need to icolate the y value, and to do that you first cancel out the four by adding it to both sides, and now your equation should be x+4=2y. The second step in icolating the y value is dividing everything in the equation by two. Now that the y is icolated, you equation should be y=1/2x+2. You then change the y to be g(x), and that's how I got my answer, g(x)=1/2x+2. You should ask your teacher about this, becuase from my calculations, none of the given responses would be correct. Sorry if that doesn't help you at all but yeah

Answer:

D, g(x) = 1/2 x + 2

Step-by-step explanation:

The second answer IS ONE TO ONE

Answer:

Option (A)

Step-by-step explanation:

Graph attached shows a function that models the value V of a stock portfolio as a function of time.

y-values on the graph shows the value of V and x-values represent the time.

Lowest point of the curve shows the minimum value of V and highest point of the curve shows the maximum value.

Maximum value of the function → 6.93 at t = 4

Minimum value of the function → 1.05 at t = 15

Therefore, Option (A) will be the answer.  

Answer:

Answer is D.

Step-by-step explanation:

Which is not true?

So, lets assess the answers given to the question.

A. It is the equation of a horizontal line.

Yes, it is. Since there is only one y - value which is y = -4, we can confirm this is the y intercept, so therefore the x value is zero. But it's not the answer we're looking for.

B. It's slope is zero, yes the slope is zero. It only lists the y-intercept which confirms that the slope is 0.

C. Yes, I mean i can't really explain how. Just use desmos calculator, the graph is exactly perpendicular.

D. The line actually does cross the x-axis, -4 is the y intercept and the x value is 0, and zero is still a point. So D is the one which isn't correct making it the correct answer.

Answer:

5. 4

6. ?

7. c- 8

8. b-13

9. ?

10. d. 12

Step-by-step explanation:

i hope this helps, sorry for the question marks :)

Answer:

714 miles

Step-by-step explanation:

if he drove 14 hours and in each hour he drove 51 miles then multiply

14*51=714

Answer:

Yes

Step-by-step explanation:

Answer:

The probability of an event can only be between 0 and 1 and can also be written as a percentage. ... If P ( A ) > P ( B ) P(A) > P(B) P(A)>P(B)P, left parenthesis, A, right parenthesis, is greater than, P, left parenthesis, B, right parenthesis, then event A has a higher chance of occurring than event B.

so that means yes

Answer:

4 5/12

Step-by-step explanation:

Convert to mixed fraction 7/4 + 8/3

Find common denominator, 12

21/12 + 32/12

add numerators  (21+32)/12 = 53/12

reduce fraction 4 5/12

Answer:

Step-by-step explanation:

Let the number be x

Then we have the equation

let the number be "x" .

now according to the given question ;

Answer:

what are you in 5th? cause I might have the answer

An equation shows the amount of juice, in pints, in each glass is x =4/5.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Sara has 4 pints of juice she wants to pour a equal amount of juice into 5 cups using all the juice.

Quantity of juice poured into cups be x.

Now, x= 4/5

Therefore, the equation is x= 4/5.

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Answer: The unit rate is

116 ​calorie(s) per cup

and

There are 464 calories in 4 cups of the cereal

Answer:

The average price of a ticket originating in Chicago using United Airlines is $1212.40.

Step-by-step explanation:

The data provided is as follows:

                    United Air France British

Chicago         1063              1314          1442

                      1299             1493           1413

                       995             1443          1063

                      1299             1577          1442

                      1406             1314          1575

London         1015             1374          1603

                       856              977           1531

                       802             1043          1079

                       850             1070           807

                       935             1428           870

The data for the price of a ticket originating in Chicago using United Airlines is:

Chicago = {1063, 1299, 995, 1299, 1406}

Compute the average price as follows:

[tex]\bar X=\frac{1}{n}\sum X[/tex]

   [tex]=\frac{1}{5}\times [1063+1299+995+1299+1406]\\\\=\frac{6062}{5}\\\\=1212.40[/tex]

Thus, the average price of a ticket originating in Chicago using United Airlines is $1212.40.

Answer:

hope it helped you

Step-by-step explanation:

Standard of living refers to the level of wealth, comfort, material goods, and necessities available to a certain socioeconomic class or geographic area. Quality of life, on the other hand, is a subjective term that can measure happiness.

Answer:

D( consumer enjoy  desired goods

Step-by-step explanation:

just did the quiz

Answer:

3

Step-by-step explanation:

v=1*3

Answer:

3

Step-by-step explanation:

Multiply each side by 3 and you get 3

v=1*3=3

v=3

Answer:

9

Step-by-step explanation:

x=pens

.85x=8.15

.85x/.85= 8.15/.85

x=9.58

so 9 whole pens can be bought

Answer:

the first one

The number line which can be used to find the distance between (4, -1) and (8,-1) is 1

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

[tex]D = √[(x-p)² + (y-q)²] D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]

Given the points;

(x1, y1) = (4, -1)

(x2, y2) = (8, -1)

Here, we have the same values of y for both points.

This means that the line that contains both points is a horizontal line.

To find the distance, apply the formula:

[tex]d= \sqrt{(x2-x1)^{2} + (y2-y1)^{2} }[/tex]

Since they have the same y values, the number line to represent the distance between both points must have the points 4 and 8;

Hence, we have;

 [tex]d= \sqrt{(8-4)^{2}+(-1+1)^{2} }[/tex]

   [tex]d= \sqrt{4^{2} + 0^{2} }[/tex]

     d= 4

The distance between both points is 4;

Therefore, the number line that can be used to find the distance between both points is the number line in option A.

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Answer: x => -6

Step-by-step explanation: All you gotta do is alternate the form

The solution for the given inequality is x ≥ -6.

A declaration of an order connection between two numbers or algebraic expressions, such as greater than, equal to, less than, less than, or equal to. Either questions or theorems can be used to express inequality problems, and both can be solved using methods similar to those used to solve equations. The triangle inequality, for instance, stipulates that the length of the remaining side of a triangle is more than or equal to the sum of the lengths of any two of its sides. Many of these inequalities, like the Cauchy-Schwarz inequality, are used by mathematical analysis to prove some of its most significant theorems.

Given an equation -3−4x ≤ 21.

Solve for x

-3−4x ≤ 21

add three to both sides

-4x ≤ 24

divide by -4 into both sides (signs will be changed)

x  ≥ -6

Therefore solution for the given equation in the form of inequalities is

x ≥ -6.

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The speed of the train in kilometer per hour is 68.9km/hr.

The rate of change of position of an object in any direction.

[tex]speed = \frac{distance}{time}[/tex]

According to the given question

Distance travelled by commuter train = 21km

Time taken by a train to travel 31 km = 27 minutes = [tex]\frac{27}{60} =0.45hour[/tex]

Therefore, the speed of the train in kilometer per hour is given by

[tex]speed = \frac{31}{0.45}[/tex]

⇒[tex]speed = 68.9km/hr[/tex]

Hence, the speed of the train in kilometer per hour is 68.9km/hr.

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Answer:

you need to show us the graph

Answer:

3/4 of a banana

Step-by-step explanation:

3 divided by 4 = 3/4

Answer:

Step-by-step explanation:

k+43=118

k=118-43

k=75

Answer:

Your answer is: k= 75

Step-by-step explanation:

Hope this helped : )

Answer:

Explained below.

Step-by-step explanation:

The rules of the deal are as follows:

(a)

The correct option is: "the money you win".

(b)

The random variable X denotes the amount won or lost.

(c)

The value of X are as follows:

X = {-$6, $5 and $10}

(d)

The probability function of X is as follows:

P (X = 10) = 1/6

P (X = 5) = 1/3

P (X = -6) = 1/2

(e)

Compute the expected value as follows:

[tex]E(X)=\sum x\times P(X=x)\\[/tex]

         [tex]=(10\times\frac{1}{6})+(5\times\frac{1}{3})+(-6\times\frac{1}{2})\\\\=0.333333\\\\\approx $0.33[/tex]

Thus, the average winnings per game is $0.33.

(f)

Since the expected value of the game is a positive amount, the deal will not  lead to me paying up.

Thus, you take the deal.

9514 1404 393

Answer:

  $67,516

Step-by-step explanation:

"Depreciates" means the value is getting smaller. The function that describes the situation is a decay function:

  y= a(1-r)^x

Here, a=150000, r = 0.07, and x=11. The value is predicted to be ...

  y = 150000(1 -0.07)^11 = 150000(0.93^11) = 67,515.53

The house is worth about $67,516 in 2013.

Answer:

60 eggs from 1 chicken

Step-by-step explanation:

Answer:

Options 1) and 3) are correct.

Step-by-step explanation:

R={(A,B)|A⊆B}

Reflexive:

As A⊆A,  [tex](A,A)[/tex]∈ R.

So, R is reflexive

Symmetric:

Let [tex](A,B)[/tex]∈ R. So, A⊆B

Take [tex]A=\{1,2\}\,,\,B=\{1,2,3,4\}[/tex]

Here, A⊆B but B⊄A

So, [tex](B,A)[/tex]∉ R

R is not symmetric

Transitive:

Let [tex](A,B)[/tex]∈ R and [tex](B,C)[/tex]∈ R

So, A⊆B and B⊆C.

Therefore, A⊆C

So,

[tex](A,C)[/tex]∈ R

Hence, R is transitive.

Option 1) is correct.

Antisymmetric:

Let (A,B)∈R and (B,A)∈R

So, A⊆B and B⊆A

Hence, A = B

So, R is antisymmetric

Option 3) is also correct.