a) (x^2 + 1/2)^2

using the formula:
(a+b)^2= a^2+2ab+b^2​

Answers

Answer 1

Step-by-step explanation:

(x^2+1/2)^2=(x^2)^2+2*x^2*1/2+(1/2)^2=

x^4+(2x^2)/2+1/4=

x^4+x^2+1/4

Answer 2

Answer:

x^4 + x^2 + 1/4

Step-by-step explanation:

[tex] {( {x}^{2} + \frac{1}{2} })^{2}[/tex]

a = x^2

b = 1/2

[tex] {a}^{2} + 2ab + {b}^{2} [/tex]

[tex] ({x {}^{2}) }^{2} + 2( {x}^{2} )( \frac{1}{2} ) + { \frac{1}{2} }^{2} [/tex]

[tex] {x}^{4} + {x}^{2} + \frac{1}{4} [/tex]


Related Questions

Which graph does not represent a function

Answers

Answer:

Graph D

Step-by-step explanation:

it does not pass the linear test to qualify as a function

The graphic D is the one that not represent function

Find the value for x that makes the given equation true. - -4(3x – 7) + 5x = -2x + 8​

Answers

Answer:

Okay this might be slightly confusing but I'll try to make it simple. x = -10

Step-by-step explanation:

-4 ( 3x - 7 ) + 5x = -2x + 8 1. get rid of parenthesis first. -4 times 3x = -12x and -4 times -7 is 28

-12x + 28 + 5x = -2x + 8 2. Combine any like terms on each side of the equation. -7x + 28 = -2x + 8 3. Get rid of the smallest x value by adding to both sides -7x

+7x +7x

28 = -2x + 8 4. subtract 8 from both sides to get rid of it. (you wanna get x alone)

-8 -8

20 = -2x 5. Divide both sides by -2 to get 1x (which is x)

/-2 /-2

x = -10

A high-pressure air mass is most likely to bring A) lower humidity. B) higher humidity. lower temperatures. D) higher temperatures.​

Answers

Answer:

b

Step-by-step explanation:

i think its b but im not 100% sure

A high-pressure air mass is most likely to bring lower humidity. the correct answer would be an option (A).

What is humidity?

In general, humidity is a measurement of the amount of water vapor in the air. Meteorologists often divide water vapor in the atmosphere into two categories: absolute humidity and relative humidity. Dew point is an exact statistic that helps us comprehend how damp and humid it feels outside.

A high-pressure air mass typically brings lower humidity because high-pressure air masses are associated with clear and dry weather conditions.

The sinking motion of air in a high-pressure system compresses and warms the air, causing the relative humidity to decrease as moisture is squeezed out of the air.

This results in lower humidity levels compared to a low-pressure system, which brings moist air from the surrounding areas.

Hence, the correct answer would be option (A) lower humidity.

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If you are writing an equivalent expression for 23 • 24, how many times would you write 2 as a factor?

Answers

Answer:

1-100

Step-by-step explanation:

The number of times you write 2 as a factor of 552 is 3 times.

What is an equivalent expression?

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given numerical expression is 23·24.

Here, equivalent expression is 552

Factor of 552 is

2×2×2×3×23

Therefore, the number of times you write 2 as a factor of 552 is 3 times.

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12) Which name we can give to these triangle

Answers

Answer:

The first one is isosceles and the second one is scalene.

This is because the first triangle has two equal sides, therefore it is isosceles and the second one has no equal sides so it is scalene.

Answer:

obtuse triangle and scalene triangle (sana nakatulog sayo)

PLEASE HELP ME I REALLY NEED HELP ON THIS QUESTION!!!!\

Keyleanis and her friend both started a part-time job at McDonnald earning $14 per hour. Claudia worked 38 ½ hours her first week. Keyleanis agreed to pay her friend 1/5 of her salary for reimbursement off gas and food. How much money did Keyleanis pay her friend for gas?

Answers

Answer:

[tex]total \: earning \: in \: a \: week \: \\ = 14 \times \frac{77}{2} \\ = 7 \times 77 \\ = 539 \\ now \: pay \: for \: her \: friend \\ 539 \times \frac{1}{5} = 107.8[/tex]

Which student rounded properly?

Answers

Answer:

c is the answer

Step-by-step explanation:

Simplifying expression
13y - (-y)+(-2y)
A.10y
B.14y
C.12y
D.16y​

Answers

Answer:

C. 12y

Step-by-step explanation:

1. 13y - (-y)+(-2y)

2. 13y + y - 2y

3. 14y - 2y

4. 12y

if you can guess my middle name will mark Brainlyest.
hint one: named after a British toffee
hint two: it starts with a h

Answers

Answer:

Heath

I think

Step-by-step explanation:

Answer:

is it Heath?

Hope it helps!!!

5x-8= 1/3 (6x+12)-3x

a) -1
b) -12/5
c)10/3
d) 2

Answers

Answer:

c

you have to do whatever is in the pertussis

The sum of three numbers is 15. The sum of the first number and three times the second number is 15. The sum of the second number and the third number is 8. What are the three numbers?

Answers

Answer:

The second number is three times the first and third is seven less than the second. ... 7x = 35, x = 5. and the three numbers are 5, 15, and 8, which do sum to 28.

Step-by-step explanation:

the Venn diagram is shown below​

Answers

n(A), n(B) and n(AnB) are given and n(AUB)'s complement is asked.

Can someone answer this for me?

Answers

When you divide 6.5 by 2.5, you get 2.6. So, multiply 5.2 and 2.6 to get y=13.52!

SOMEONE PLSS HELP MEE!!!! ASAP!!

Answers

9514 1404 393

Answer:

  a.  300 ≤ m ≤ 350

  b.  18,000 ≤ p ≤ 21000

  c.  no

Step-by-step explanation:

a. If we let m represent the monthly payment, the absolute value equation is ...

  |m -325| ≤ 25

  -25 ≤ m -325 ≤ 25 . . . . rewrite as a compound inequality

  300 ≤ m ≤ 350 . . . . . . . add 325

The range of affordable payments is $300 to $350 per month.

__

b. If financing is for 5 years, that's a total of 5×12 = 60 monthly payments. For a car price of p, the monthly payment is p/60, so the above inequality becomes ...

  300 ≤ p/60 ≤ 350

Multiplying by 60 gives the range of affordable car prices:

  18000 ≤ p ≤ 21000

An affordable car will have a price between $18,000 and $21,000 (inclusive).

__

c. If the 0% offer is extended to 6 years, the maximum affordable car price can be 6/5 of the upper limit of the range just found:

  6/5×$21,000 = $25,200

This is still less than the price of the car you want.

You cannot afford to buy the car you want.

Suppose that the U.S. Government decides to charge cola producers a tax. Before the tax, 30 billion cases of cola were sold every year at a price of $4 per case. After the tax, 23 billion cases of cola are sold every year; consumers pay $5 per case, and producers receive $2 per case (after paying the tax).

Answers

Answer:

 $3

$1

$2

False

Step-by-step explanation:

Here is the remaining part of the question :

The amount of the tax on a case of cola is per case. Of this amount, the burden that falls on consumers is per case, and the burden that falls on producers is per case. True or False: The effect of the tax on the quantity sold would have been larger if the tax had been levied on consumers. True False

A tax is a compulsory sum levied by the government or an agency of the government on goods or services.

Tax on a case of cola = Amount consumers pay - amount producers receive

= $5 - $2 = $3

Burden of tax on consumers = $5 - $4 = $1

Burden that falls on producers = $3 - $1 = $2

False. the incidence of tax is not dependent on who is taxed

lindsey and Oscar have been selling popcorn for a class fundraiser. Oscar sold three times as many bags of popcorn as Lindsey. together they have sold a total of 92 bags of popcorn. how many bags did Oscar sell?

Answers

Answer:

Oscar= 69

Step-by-step explanation:

92/4 = 23

23 times 3=69

can someone help me with this problem

Answers

Answer:

A because the angles add to 180, which is what angle ABC is.

Which inequality matches the graph shown?

Answers

Answer:

I am pretty sure it is x>8 which is B.

Step-by-step explanation:

I’m one hundred percent positive it’s B because if it’s open the aren’t less then or equivalent to or greater than or equivalent to

Can you please help me? It’s timed!!

Answers

Answer:

[tex]0.75[/tex] (D)

Step-by-step explanation:

tanA = [tex]\frac{6}{8}[/tex]

tanA = [tex]0.75[/tex]

The answer is D hope this helps

Jacinth is 4 years older than her sister Naomi. The sum of their ages is 30. How old are the sisters?

Answers

Answer:

Jacinth = 17

Naomi = 13

Step-by-step explanation:

they add up to 30 and follow the criteria

Jacinth is 17 years old, and Naomi is 13 years old as per the linear equation method.

Let's assume Naomi's age is x. According to the given information, Jacinth is 4 years older than Naomi, so Jacinth's age would be x + 4.

The sum of their ages is given as 30, so we can write the equation: x + (x + 4) = 30.

Combining like terms, we have 2x + 4 = 30.

Subtracting 4 from both sides, we get 2x = 26.

Dividing both sides by 2, we find x = 13.

Therefore, Naomi's age (x) is 13 years old.

To find Jacinth's age, we substitute the value of x into the equation for Jacinth's age: Jacinth's age = x + 4 = 13 + 4 = 17 years old.

So, Jacinth is 17 years old, and Naomi is 13 years old.

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Harvy claims that he can map rectangle ABCD to rectangle EFGH. Select all the transformations or series of transformations that support his claim.

Answers

Answer:

Option (B) and (D)

Step-by-step explanation:

To understand the relation between rectangle ABCD and EFGH take a point A from rectangle ABCD which is at E of rectangle EFGH after the series of  transformations.

Horizontal distance between A and E = 2 - (-10) = 12 units

Vertical distance between A and E = 4 - 2 = 2 units

If the point A is shifted 12 units right and 2 units up we will find the point E.

Therefore, A translation of 12 right and 2 units up has been done.

Rule for the translation,

(x, y) → (x + 12, y +2)

Moreover this,

If rectangle ABCD is reflected over x = -1 and translated 2 units up, rectangle ABCD will overlap the rectangle EFGH.

Therefore, Options (B) and (D) will be the answer.

If f(x)=3x+2 and g(x)=x^2-x, find the value.

g(-3)=

Answers

Answer:

hence the ans of g(-3)=12

Van bought a 16-pound bag of dog food. His dog ate of the food. How many pounds of dog food did the dog eat?dogs with dog food it's a doggy ​

Answers

The dog ate 16 pounds of food

Answer:

The answer is 13 pound of dog food

Step-by-step explanation:

Here is your explanation 16 is a even  

number and you can put it in 13 because

13+ 13 =16

Can someone please help me

Answers

Answer:

(0,4)

Step-by-step explanation:

The x-axis is the horizontal line on the grid. When finding coordinates, we record the x-axis first. So in this case, look at point N.

N only comes up from 0 on the x-axis, so that's the first part of the coordinate.

Now for the y-axis. The y-axis is the vertical line on the grid. Point N seems to be on the number 4 of the y-axis.

so your answer is (0,4)

PLSSS HELPPP I BEG , it’s geometry

Answers

Answer:

x = 30°, y = 90°

Step-by-step explanation:

[tex](y + x) + (y - x) = 180 \\ 2y = 180 \\ y = 90 \\ [/tex]

[tex]2x + y + x = 180 \\ 3x + 90 = 180 \\ 3x = 90 \\ x = 30[/tex]

The phone company charges a flat rate of $25 per month. In addition they charge $0.05 for each minute of service Which equation can be used to determine c, the monthly charge based upon the number of minutes (m) of service each month. C = 25m + 0.05 c = 25m + 0.05 c = 0.05m + 20 c = 0.05m + 20 c = 25m + 0.05 c = 25m + 0.05 m = 0.05c + 30

Answers

Answer:

c= 25+0.05m

Step-by-step explanation:

Given that,

The phone company charges a flat rate of $25 per month. In addition they charge $0.05 for each minute of service.

$25 is fixed here and charge $0.05 for each minute of service.

We need to find the equation that can be used to find the monthly charge based upon the number of minutes (m) of service each month.

c= 25+0.05m

Hence, this is the required equation.


Taylor earned $240 last week If she worked20 hours, how much
money did she earn per hour?

Answers

Answer:

per hour is 12 dollars

Step-by-step explanation:

240/20= 12

Answer:

That would be $12

Hope this helps!

Scientific notation
Express this number in scientific notation.
245,600,000,000

Answers

Answer: 2.456  x 10 to the power 11

Step-by-step explanation: Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

2.456  x 10 to the power 11

Step-by-step explanation:

y = 4x + 12
x + 4y = 32

Answers

I hope this helps you

What is the product of 840 and 4.6 \times 10^24.6×10
2
expressed in scientific notation?

Answers

Answer:

840

Step-by-step explanation:

840&*67---***&%%%%%:

3.864×10⁵ is the product of 840 and 4.6×10² in scientific notation

What is Multiplication?

Multiplication is a method of finding the product of two or more numbers

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.

We need to find the product of 840 and 4.6×10²

Eight hundred forty into four point six into ten to the power of two.

840× 4.6×10²

3864×10^2

Divide and multiply by 1000

3.864×10^5

Hence 3.864×10⁵ is the product of 840 and 4.6×10²

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