Multiply and simplify:
(x + 3)2
A) x2 + 6
B) x2 + 9
C) x2 + 6x + 9
D) x2 + 9x + 6

Answers

Answer 1

Answer:

[tex] {x}^{2} + 6x + 9[/tex]

Answer C is correct.

Step-by-step explanation:

[tex](x + 3) ^{2} \\ (x + 3)(x + 3) \\ x(x + 3) + 3(x + 3) \\ {x}^{2} + 3x + 3x + 9 \\ {x}^{2} + 6x + 9[/tex]

Answer 2

The expression [tex](x+3)^2[/tex] on multiplication and simplification becomes [tex]x^2+6x+9[/tex]. So, option c) is correct.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given, expression can be solved by following some basic steps as follows:

Firstly, solve the brackets.

Then perform multiplication and addition.

[tex](x+3)^2=(x+3)(x+3)=x\times (x+3)+ 3\times (x+3)\\(x+3)2=x^2+3x+3x+9\\(x+3)^2=x^2+6x+9[/tex]

So, on multiplication and simplification (x+3)2 becomes [tex]x^2+6x+9[/tex]. So, option c) is correct.

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Related Questions

Enter the missing numbers in the boxes to complete the table of equivalent ratios.
Time (month) Weight (lb)
2 __
__ 20
6 __
10 50

Answers

2, 4, 6, 10
10, 20, 30, 50

To complete the table of equivalent ratios, we established a simplified ratio of 1 month to 5 lb from the given information, then we used this to calculate the missing values: in 2 months the weight is 10 lb, corresponding to 20 lb there are 4 months, and in 6 months the weight is 30 lb.

To find the missing numbers in the table of equivalent ratios, we need to look for a pattern or use cross-multiplication. We can see from the given information that in 10 months the weight is 50 lb. Using this information, we can set up a ratio comparing time to weight. Let's fill out the table with the equivalent ratios.

Step-by-step Calculation

Take the given ratio of 10 months to 50 lb. This can be simplified to 1 month to 5 lb.

Now that we have the basic ratio, we can find the missing values. For 2 months, we multiply 2 by 5 lb, giving us 10 lb for the first missing number.

To find the time that corresponds to 20 lb, we take 20 lb and divide it by 5 lb/month, giving us 4 months for the second missing number.

For 6 months, we multiply 6 by 5 lb, which gives us 30 lb for the third missing number.

Now we can fill in the table:

Time (month): 2, Weight (lb): 10

Time (month): 4, Weight (lb): 20

Time (month): 6, Weight (lb): 30

Time (month): 10, Weight (lb): 50

please help me asap!!

Answers

Answer:

this is true!!

Step-by-step explanation:

The answer is B) False .

The Pythagorean Theorem is not just for finding the length of a leg, but also the hypotenuse. You can also use it for finding the distance between two points on a coordinate plane.

hope this helps !

The Unique Glass Company reported sales of $24 million in 1995, and sales increased by 15% each year for the next 10 years.
Write the rule (formula) to determine the company's sales (in $ million) in each year since 1995. (Hint: Let n = 1 represent 1995).

Answers

Answer:

n + 1 = 24 million x 1.15

Step-by-step explanation:

The sales is increased 15 percent, so every year 24million is multiplyed with 1.15 to get the result... so yea

Question 2

Calculate the company’s sales in the year 2003.

Explanation: The formula to calculate sales in the nth year is an=24(1.15)n-1

2003 is the 8th year (i.e., n = 8), so:

a8=24(1.15)7

a8=63.84

Answer: Sales in 2003 were $63.84 million.

This is the answer on Edmentum I swear!

What is the solution to the system of equations below?
y=-3x+3 and y=-12
(20, -12)
(12, -12)
(-6, -12)
(-12, 12)

Answers

Answer:

  (5, -12)

Step-by-step explanation:

Put -12 in the equation for y and solve for x:

  -12 = -3x +3

  4 = x -1 . . . . . . . . divide by -3

  5 = x . . . . . . . . .  add 1

The solution to the system shown here is ...

  (x, y) = (5, -12)

__

This is confirmed by a graphing calculator.

__

None of the offered answer choices is correct.

What value of x will make the equation true?
(√15)(√15)=x

Answers

Answer:

[tex](\sqrt{15} )(\sqrt{15})=15[/tex]

Step-by-step explanation:

[tex](\sqrt{15} )(\sqrt{15})=15[/tex]

[tex]\sqrt{15} =3.87298334621\\\\(3.87298334621)*(3.87298334621)=15\\[/tex]

solve −0.2x+1.2<1.1 pls

Answers

Answer:

x > 1/2

Step-by-step explanation:

brainliest 1-10 pick a number and u win

Answers

Answer:

5

Step-by-step explanation:

Answer Three of these question and you will be the brainliest. Answer this with solution please

1) Which comparison is correct?

|5| > 7
7 < |7|
|-3| > |-4|
-5 < -4

2) In a complete sentence, describe the positions of these numbers on the number line in relation to each other. Then, write an inequality statement comparing the numbers, using the symbol > or <.

-13, -10

3) Which inequality statement is true?

3/4 > 0.80
0.50 >
3/4 < 0.80
7/15 > 0.50

Answers

Answer:

1.  -5<-4

2. -13<-10 ( On horizonal x-axis -13 is on the left of -10)

3. 3/4<0.8


PLEASE NOTE: All questions below use the same scenario. You must convert the months to years. A certain college that four students want to attend charges of $8,008 for tuition and fees each year. Room and housing are an additional $8,392 per year. Calculate how much money each student and family will need to save for the first year of college.

1. How much money will the student and family below need to save for the first year of college?

Scholarship - $1,000

Grant - $1,000

Student Loan - $4,500

Months - 42


a. $16,400

b. $6,500

c. $2,828.57

d. $235.71

2. How much money will the student and family below need to save for the first year of college?

Scholarship - $6,000

Grant - $500

Student Loan - $4,500

Months - 24


a. $2,700

b. $16,400

c. $11,000

d. $225.00

3. How much money will the student and family below need to save for the first year of college?

Scholarship - $10,000

Grant - $2,000

Student Loan - $0

Months - 18


a. $16,400

b. $4,400

c. $244.44

d. $2,933.33

4. How much money will the student and family below need to save for the first year of college?

Scholarship - $3,000

Grant - $2,000

Student Loan - $4,500

Months - 39


a. $6,900

b. $176.92

c. $2,123.08

d. $16,400

Answers

Answer:

1.) C

2.) A

3.) D

4.) C

Step-by-step explanation: Given that the

$8,008 for tuition and fees each year.

Room and housing are an additional $8,392 per year.

Total = 8008 + 8392 = $16400

1.) Scholarship - $1,000

Grant - $1,000

Student Loan - $4,500

Months - 42

Yearly = 42/12 = 3.5 years

Total support = 1000 + 1000 + 4500

= $6500

Savings = 16400 - 6500 = 9900

First year savings = 9900/3.5

= 2828.57 dollars

2. Scholarship - $6,000

Grant - $500

Student Loan - $4,500

Months - 24

Yearly = 24/12 = 2

Support = 4500 + 6000 + 500

= $11000

Savings = 16400 - 11000

= 5400 dollars

First year savings = 5400/2

= 2700 dollars

3.) Scholarship - $10,000

Grant - $2,000

Student Loan - $0

Months - 18

Yearly = 18/12 = 1.5

Support = 10000 + 2000 = $12000

Savings = 16400 - 12000

= 14400 dollars

First year savings = 4400/1.5

= 2933.33 dollars

4.) Scholarship - $3,000

Grant - $2,000

Student Loan - $4,500

Months - 39

Yearly = 39/12 = 3.25

Support = 3000 + 2000 + 4500

= 9500 dollars

Savings = 16400 - 9500 = $6900

First year savings = 6900/3.25

= $2123.08

PLZZZZ HELP!!!
Bill is playing a game of chance with the following payout. 30% of the time you will lose 20 dollars, 20% of the time you lose 40 dollars, 10% of the time you win 50 dollars, 40% of the time you win 5 dollars. Find the expected value of the event and explain if Bill should play this game based on the mathematical expectation.

Answers

Answer:

Expected Value= -$7Bill should not play the game

Step-by-step explanation:

In the game, these are the payout:

30% of the time you will lose 20 dollars.20% of the time you lose 40 dollars.10% of the time you win 50 dollars40% of the time you win 5 dollars.

To compute the expected value, take note that a loss is negative while a win is positive.

[tex]E(X)=\sum_{i=1}x_1P(x_1)[/tex]

Therefore:

E(X)=(-20*0.3)+(-40*0.2)+(50*0.1)+(5*0.4)

E(X)=-7

The expected value of the event is -$7.Based on the negative expectation, Bill should not play this game as he is expected to incur a loss.

5 time 123456789101098765432110123456789

Answers

123456789101098765432110123456789

123456789101098765432110123456789

123456789101098765432110123456789

123456789101098765432110123456789

123456789101098765432110123456789

I did it five times.

A food company packs 64 cans of peaches into a box.
The company has 640 cans to box. If they sell a full box
for $32, how much money will the food company make
on these boxes?

Answers

Answer:

$320.00

Step-by-step explanation:

640÷64=10

32×10=$320.00

Someone help meeee soon first to answer will be marked brainliest

Answers

Answer:

I think the answer is 1/4

Step-by-step explanation:

Because you use the rise over run method to find slope.

3(s+100)/4 solve for s

Answers

Answer:

-100

Step-by-step explanation:

If you want to solve for s make the equation= 0

3(s+100)/4 = 0

4x - 7 = 9
The answers are
X=2
X=4
X=16
No solution

Answers

Answer:

x=4

Step-by-step explanation:Trust me

4x-7=9

4x-7+7=9+7

4x=16

4x/4 = 16/4

X=4

Answer: x = 4

Step-by-step explanation: To solve for x, we must first isolate the term containing x which in this problem is 4x.

To isolate 4x, we have to get rid of the -7 by adding

7 to both sides of the equation.

That leaves us with 4x = 16.

Now divide both sides by 4 to find that x = 4.

How do we calculate slope?

Answers

Answer:

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points . . .

Step-by-step explanation:

⋆✨Answered By Cartier✨⋆

✨Brainliest Will Be Appreciated.✨

✨If You Have Questions Ask In The Comment Box.✨

Answer:

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points . . .

Step-by-step explanation:

What is the ratio of the volume of the cone to the volume of the square pyramid?

Answers

Answer:

The ratio of the volume of cone to square pyramid is π or 3.14

Step-by-step explanation:

Given

Shapes: Cone and Square Pyramid

Diameter of the cone, d = 10 inches

Height of the cone, h = 12 inches

Height of the pyramid, h = 12 inches

Base edge of the pyramid, a = 5 inches

Required:

Ratio of the volume of cone to square pyramid.

First, we calculate the volume of each shapes

Volume of a cone is calculated as follows;

Volume = ⅓πr²h

Where r = radius = ½d

Recall that d = 10 inches

So, r = ½ * 10 inches

r = 5 inches.

Hence,

Volume = ⅓ * π * 5² * 12

Volume = ⅓ * π * 25 * 12

Volunteer = π * 25 * 4

Volume = 100π in³

Calculating Volume of the pyramid.

Volume = ⅓a²h

Recall that a = 5 and h = 12

So, Volume = ⅓ * 5² * 12

Volume = ⅓ * 25 * 12

Volume = 25 * 4

Volume = 100 in³

Now that both volumes have been calculated.

The ratio of the volume of cone to square pyramid is calculated by dividing the volume of the cone by the volume of the square pyramid.

Ratio = 100π ÷ 100

Ratio = π

Taking π as 3.14

Ratio = 3.14

Hence, the ratio of the volume of cone to square pyramid is π or 3.14

pls help... Find the area of the following circle ​

Answers

Answer:

=94.985m²

Step-by-step explanation:

Area = πr²

π=3.14

r=5.5

-

  Find the radius,

         11/2=r

          r=5.5

-

Area=

3.14x 5.5x 5.5

3.14x30.25

=94.985m²

Which point is located at (4, –2)?

Answers

Answer:

B

Step-by-step explanation:

First you would look at the x coordinate which is 4. So on the x-axis you would find four. Next you would look at the y coordinate which is -2. Then you go on the y-axis and find -2. Finally, you would go to 4 on x-axis and go DOWN (since it is negative) 2 spots.

B point is located at (4, –2)

What is coordinate geometry?

Coordinate geometry (or analytic geometry) is defined as the study of geometry using coordinate points. the usage of coordinate geometry, it is possible to find the distance between two points, divide lines in the m:n ratio, find the mid-point of a line, calculate the area of a triangle within the Cartesian plane, and so on.

Coordinate geometry is needed to provide a connection between algebra and geometry by using graphs of lines and curves. it is an important department of math and usually assists us in locating points in a plane. furthermore, it also has many uses in the fields of trigonometry, calculus, dimensional geometry, and greater.

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The table shows the results of an experiment in which subjects taking either a drug or a placebo either reported fatigue or did not report Teague.

Which statements are true?

Chose all answers that are correct.

- more subjects took the drug than took the placebo.

- twenty-eight percent of the subjects did not report fatigue.

- a greater percent of the subjects did not report fatigue.

-a greater percentage of subjects taking the placebo did not report fatigue.

Answers

Answer:

- more subjects took the drug than took the placebo.  

- a greater percent of the subjects did not report fatigue.  

- a greater percentage of subjects taking the placebo did not report fatigue.

Step-by-step explanation:

60% of the subjects took the drug and 40% took the placebo.  

56% of the subjects did not report fatigue and 44% reported fatigue.

28%  of subjects taking the placebo did not report fatigue and 12% report fatigue.

Answer:

- More subjects took the drug than took the placebo.- A greater percent of the subjects did not report fatigue.

Step-by-step explanation:

A cross-table is about several variables, where we can get different analysis about each aspect of each variable.

In this case, we have Drug and Placebo, each of them has certain percentage about Reported Fatigue and Did not Report Fatigue.

According to the table, 60% of the people took drug, and 40% took placebo. That means more subjects took the drug than took the placebo.

Additionally, 56% of the people didn't report fatigue, and 44% reported fatigue. Therefore, a greater percent of the subjects did not report fatigue.

The steps were unclear on how to solve, help?

Answers

Answer:

2x -y = 13

Step-by-step explanation:

y+3= 2(x-5)

Distribute

y+3 = 2x-10

Subtract 2x from each side

-2x +y+3 = 2x-2x-10

-2x +y +3 = -10

Subtract 3 from each side

-2x+y+3-3 = -10-3

-2x+y = -13

Multiply each side by -1 since A should be positive

2x -y = 13

Your answer would be -2x + y = -13
We can find this by expanding the brackets on the right hand side and then rearranging so that the x and y terms are on the left and all the numbers are on the right:
y + 3 = 2(x - 5)
y + 3 = 2x - 10
- 2x
y + 3 - 2x = -10
- 3
y - 2x = -13

And this is your final answer. I hope this helps!

5 friends go out to lunch and order 3 large pizzas. The friends divided the pizzas evenly. Find how much pizza each friend got as a decimal​

Answers

Answer:4.8 slices

Step-by-step explanation:there are 8 slices in a pizza times 3 pizzas divided by 5 friends

Each of the 5 friends gets 0.6 of a pizza when they evenly divide 3 large pizzas.

When 5 friends go out to lunch and order 3 large pizzas, dividing the pizzas evenly, we can calculate the amount of pizza each friend got. To start, we need to determine the total amount of pizza available in terms of 'pizza units'. Since there are 3 pizzas and 5 friends, we divide the pizzas into 5 equal parts. This means that each of the 3 pizzas is divided into 5 slices (assuming each pizza can be divided into equal parts).

We can represent this as a fraction where the numerator is the total number of pizzas (3) and the denominator is the number of friends (5). So, each friend gets
3/5 of a pizza. Now, converting that fraction into a decimal, we divide the numerator by the denominator. Thus, 3 divided by 5 equals 0.6. Therefore, each friend gets 0.6 of a pizza as a decimal.

Which is an equation of an asymptote of the hyperbola?
A) y=-3x+8
B) y=3X+10
C) y=-1/3x
D) y=1/3x+2

Answers

The answer would be B. 3x + 10

what is the x value of the vertex called

Answers

Answer:

The vertex form of a quadratic is given by

y = a(x – h)^2 + k, where (h, k) is the vertex. h may act as "x" in this case.

Step-by-step explanation:

The vertex form of a quadratic is given by

y = a(x – h)^2 + k, where (h, k) is the vertex.

You must simply get an equation in this format to find h and k.

The x value of the vertex in a parabola is found using the formula -b/(2a), which represents the x-coordinate of the vertex, a critical point that determines the parabola's maximum or minimum value.

The x value of the vertex in a parabola is a critical point that determines the maximum or minimum of the quadratic function. In a quadratic equation of the form f(x) = ax^2 + bx + c, the x-coordinate of the vertex can be found using the formula -b/(2a). This formula is derived from completing the square or using calculus to find the critical points of the function. Once you determine the x-coordinate of the vertex, you can substitute it back into the original equation to find the corresponding y-coordinate, giving you the full coordinates of the vertex of the parabola.

Bob's Bakery makes 12 cakes and 36 muffins each hour.

Part A: Create a table to show how many caked and muffins in ll the bakery has made after each hour. Use the rules "add 12" and " add 36"

Part B: Michael says. "The total number of muffins made is ALWAYS 24 more than the total number of cakes made. " Do you agree?

Part C: Michael wants to graph this information. What ordered pair represents the total number of each item make after 6 hours.

Please answer Part A, B and C. Thank you

Answers

the answer is B hope it helped

Which of the following scatter plots shows a strong, negative linear association between variables ?

Answers

The scatter plot that shows a strong, negative linear association between variables is Scatter Plot A.

Option A is the correct answer.

What is a scatterplot?

A scatterplot is a type of graphical display that is used to represent the relationship between two continuous variables.

In a scatterplot, each point represents the values of the two variables, with one variable being plotted along the x-axis and the other variable being plotted along the y-axis.

The position of each point on the graph represents the values of both variables for that particular observation.

We have,

A strong, negative linear association between variables means that as one variable increases, the other variable decreases consistently and predictably.

This relationship is described as negative because the two variables move in opposite directions.

For example, if you were studying the relationship between temperature and the demand for ice cream, you would expect a strong, negative linear association because as the temperature increases, the demand for ice cream decreases.

In terms of a scatterplot, this relationship would be seen as a cluster of points that form a straight line sloping downwards from left to right.

Thus,

The scatter plot that shows a strong, negative linear association between variables is Scatter Plot A.

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You are designing a new container for powdered laundry detergent. You are considering a cylindrical container with a diameter of 20 inches and a height of 15 inches. Find the volume of this container to the nearest cubic unit. Use a calculator.

Answers

Answer:

area of a cylinder=[tex]\pi[/tex]r²h

Step-by-step explanation

[tex]\pi[/tex]*100*15=1570.79632679 cubic inch

hope this helps

plzz mark me brainliest

What is the next fraction in this sequence? Simplify your answer.

Answers

Answer:

6/32 or 3/16 will be the next fraction in the sequence

PLS HELP WILL MARK BRAINLIEST 20PTS

Answers

Answer:

8(59 1/4 x 1) -58 = 100

Step-by-step explanation:

This would simplify to x = -2 1/10  or x = 50/237

As 100/474 = -2 1/10 or -50/237

We balance the 8. then we balance the 50ml so that 100/424 = -25/106 = -2  4/10 so we see that 50ml minimum in the problem is required and this creates a 1/8 increase with each pump.

Proof is the difference of -2 1/10 to -2 4/10 = 1/8 increase in the resulting division of 474ml divided by 8ml

Help me with this math problem please.

Answers

Answer: 18ft

Step-by-step explanation:

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