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

what is 300 × = 120,000
there is nothing between the × and = cuz its asking me 300× what = 120,000.

Answers

The answer is 400

First, you must flip the equation.

[tex]120000[/tex] ÷ [tex]300[/tex] = ?

Then, you must simplify the equation.

[tex]1200[/tex] ÷ [tex]3[/tex] = ?

Finally, divide the two terms.

[tex]1200[/tex] ÷ [tex]3[/tex] = 400

Anthony received $150 for his birthday this year. This was $10 less than
half the amount he received last year. How much money did Anthony
receive for his birthday last year? write the equation and answer

Answers

Answer:

$140

Step-by-step explanation:

150-10=140

$140

HOPEFULLY IM RIGHT!!

Have A Nice Day!!!!

:)))

Answer:
Anthony received $320 for his birthday last year.

Explanation:
What we know:
- this year, Anthony got $150
- 150=half the amount he got last year-10

We can create an equation with this information:

Let x be equal to the amount of money Anthony received last year.
150=1/2x-10

And now we solve the equation and isolate x.

150=1/2x-10
Add 10 to both sides
150+10=1/2x-10+10
160=1/2x
Divide both sides by 1/2
160/ 1/2=1/2x / 1/2
160/ 1/2=x
Dividing by a fraction is the same as multiplying its flip
160*2=x
320=x

I hope this helps! Please comment if you have any questions.

Which of the following is equal to the expression listed below?

24 + 18

A.
6 + (4 × 3)
B.
6(4 + 3)
C.
(6 + 4)(6 + 3)
D.
(6 × 4)(6 × 3)

Answers

The answer is D because 6•4 is 24 and 6•3 is 18


Hope this helps :)

Answer:

B

Step-by-step explanation:

Its not (A) because the outcome is 24 x 18

Its not (C) because that would be (10)(9) which is the same as multiplication

Its not (D) because that would be (24)(18) which again is multiplication

We are looking for addition of 24 and 18 which is B

6 x 4= 24

6 x 3=18

24+18

Hope this helps (:

please help. Free the denominator of the fractionfrom irrationality:
[tex] \frac{2}{5 \sqrt{3} } [/tex]
[tex] \frac{ \sqrt{5 } + 2 }{ \sqrt{5} - 2} [/tex]

Answers

Answer:

see explanation

Step-by-step explanation:

Given

[tex]\frac{2}{5\sqrt{3} }[/tex]

To rationalise the denominator, multiply the numerator/ denominator by [tex]\sqrt{3}[/tex]

= [tex]\frac{2\sqrt{3} }{5\sqrt{3}(\sqrt{3}) }[/tex]

= [tex]\frac{2\sqrt{3} }{15}[/tex]

-----------------------------------------------------------------------

Given

[tex]\frac{\sqrt{5}+2 }{\sqrt{5}-2 }[/tex]

Multiply the numerator/ denominator by the conjugate of the denominator.

The conjugate of [tex]\sqrt{5}[/tex] - 2 is [tex]\sqrt{5}[/tex] + 2 , then

= [tex]\frac{(\sqrt{5}+2)(\sqrt{5}+2) }{(\sqrt{5}-2)(\sqrt{5}+2) }[/tex] ← expand numerator/denominator using FOIL

= [tex]\frac{5+4\sqrt{5}+4 }{5-4}[/tex]

= [tex]\frac{9+4\sqrt{5} }{1}[/tex]

= 9 + 4[tex]\sqrt{5}[/tex]

A ramp is 50 feet long and has a 6° incline. A second ramp is 30 feet long and runs parallel to the first ramp. To determine the vector representing the shorter ramp, what scalar must be multiplied to the vector representing the first ramp? a scalar less than –1 a scalar between –1 and 0 a scalar between 0 and 1 a scalar greater than 1

Answers

Answer:

a scalar between 0 and 1

Step-by-step explanation:

i just took the test on EdG. :)

To determine the vector representing the shorter ramp, we must multiply the vector representing the first ramp by a scalar between 0 and 1.

To answer the question, we need to know what scalars and vectors are

What are scalars?

These are variables that have only magnitude.

What are vectors?

These are variables that have both magnitude and direction.

Now since the first ramp is 50 feet long and has a 6° incline and the second ramp is 30 feet long and runs parallel to the first ramp. We see that the magnitude of the first ramp is greater than that of the second ramp.

So, to obtain a vector representing the second ramp from that of the first ramp, we multiply by a scalar which will be between 0 and 1, since, the magnitude of the first ramp vector is greater than the magnitude second ramp vector.

So, to determine the vector representing the shorter ramp, we must multiply the vector representing the first ramp by a scalar between 0 and 1.

Learn more about vectors here:

https://brainly.com/question/25705666

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Combine the like terms to create an equivalent expression:
-3z-z

Answers

It would be -4z
(: need more characters

The weight W of an aluminum flatboat varies directly with the length L of the boat. If a 6​-foot boat weighs 102 ​pounds, then what is the weight of a 11​-foot ​boat? The weight of a 11​-foot boat is nothing pounds

Answers

Answer:

The 11 foot boat ways 187 pounds

Step-by-step explanation:

102 / 6 = 17

17 * 11 = 187

: Susan works as a hostess where she makes $8.75 per hour. She also babysits and earns $10.00 per hour. Last week she made $165.00. If she worked 6 hours more as a hostess than she did babysitting, how many hours did she babysit last week?

Answers

Answer:

She worked 12 hours as a babysitter and hours 6 as a hostess

Step-by-step explanation:

She woks 6 hours and gets 52.20 as a hostess so if she worked 6 hours as a babysitter then she would make 60 and 165-60=105 and since she worked 6 hours as a baby sitter than she has to work 12 hours as a hostess to make 105  we know that 105+60 =165. Forgive me if I'm wrong but I hope this helps! [creds: cosmicredstone1]

Choose the correct written expression for: 25 – (3 x 4).

Answers

Answer:

13

Step-by-step explanation:

Answer:

25 minus the product of 3 and 4.

Step-by-step explanation:

PEMDAS

and... I just took the test and it was correct answer.

(8x + 6) ° = ___°
8x =
x =

Answers

Answer:

Step-by-step explanation:

(8x+6)°=62°

8x=62°-6°

8x= 56°

X=(56/8)

X==7°

pleaseeeeeeeeeeeeeeeee solve this

Answers

Answer:

360 degrees

Step-by-step explanation:

We know that the sum of all the (ordered) exterior angles of any polygon is 360 degrees. As shown in the figure that, x,y and z recognise themselves as  the exterior angles of the given triangles, their sum will be 360 degrees as well.

Simplify 9 to the 2nd power\ 9 to the 7th power

Answers

Answer:

9^2/9^7 = 9^-5

Step-by-step explanation:

Jane's garden is 3.4 meters by 6.5 meters. If fencing costs $2.25 per meter, how much will it cost to put fence around her garden?

Answers

$49.73

because you would multiply the length and width of the fence then multiply by the price.

3.4 x 6.5 = 22.1

22.1 x 2.25 = 49.725

but you would round because you are dealing with money

The Newtown Telephone Company advertises that if you use their 10-10 service, you will always pay only 8¢ per minute, no matter where you call within the country. Its major rival, Tryus Telephone Company, charges only 2¢ per minute, but you must pay a 42¢ "connection fee" per call. (a) Create a cost equation for each telephone company where y is the total cost for each phone call (in cents), and X is the number of minutes the phone call lasts. Write a system of equations, Newtown Telephone Company y=0




please help quickly​

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the information above :

A) Cost equation for Newton Telephone company :

y = 8x

Where x = number of minutes used

y = total cost for x minutes

Cost equation for Tryus telephone company :

y = connection fee + (fee per minute * number of minutes)

y = 42 + (2x)

Where x = number of minutes used

y = total cost for x minutes

Amount is in cent

Jody and her friends are playing a game in which the person who scores closest to zero points after three rounds wins! Jody's friend Robyn scored 5 points in the first round, lost 8 points in the second round, and scored 4 points in the third round. Jody scored 10 points in the first round and lost 4 points in the second round. What will Jody need to score in the third round to win the game? (3 points)

Answers

Answer:

Jody needs to lose the third round by 6 points to win the game.

Step-by-step explanation:

The rule of the game is the person who scores closest to zero points after three rounds win.

Robyn scored 5 points in the first round, lost 8 points in the second round, and scored 4 points in the third round.

So, total points for Robyn = 5-8+4=1

So, the magnitude of the closeness of Robyn's score from zero

=|1-0|=1

Jody scored 10 points in the first round and lost 4 points in the second round.

Let Jody score x point in the third round.

Total points for Jody= 10-4+x=6+x

So, the magnitude of the closeness of Jody's score from zero

=|6+x-0|=|6+x|

The condition for Jody to win the game is his points must be closer to zero than Robyn's points, i.e

|6+x|<1

Case 1: If  [tex]x\geq -6[/tex],

6+x<1

[tex]\Rightarrow x<-5[/tex], which is not possible for this case.

Case 2: If  [tex]x\leq -6[/tex],

-(6+x)<1

[tex]\Rightarrow x+6>1[/tex]

[tex]\Rightarrow x>-5[/tex]

For this case [tex]x= -6[/tex] is the only possibility.

So, Jody must score -6 in the third round to win the game. i.e Jody needs to lose the third round by 6 points.

Find the slope of the line through each pair of points. (9.-14). (8-8)​

Answers

Answer:

-6

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -8- -14)/( 8 -9)

  = ( -8+14)/( 8 -9)

  6/-1

  -6

Answer:

[tex]\boxed {\tt m= -6}[/tex]

Step-by-step explanation:

The slope formula is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where (x₁, y₁) and (x₂, y₂) are the points given.

The points are (9, -14) and (8,-8). Therefore,

x₁=9

y₁= -14

x₂= 8

y₂= -8

Substitute the values into the formula.

[tex]m=\frac{-8 - -14}{8-9}[/tex]

[tex]m=\frac{-8 +14}{8-9}[/tex]

Solve the numerator.

[tex]m=\frac{6}{8-9}[/tex]

Solve the denominator.

[tex]m=\frac{6}{-1}[/tex]

Divide 6 by -1.

[tex]m= -6[/tex]

The slope is equal to -6

How can you graphically tell if a quadratic equation will have a complex solution?

Answers

Answer:

If it does not cross the x axis.

Step-by-step explanation:

If the quadratic equation does not cross the x axis (or more specifically, if the quadratic is an upward opening parabola and the vertex is above the x axis, or if the quadratic is a downward opening parabola and the vertex is below the x axis), it will have no real solution

The fundamental theorem of algebra says that quadratics must have 2 solutions, so the solutions must be imaginary.

if the equation doesn’t cross the X-axis

A hot air balloon was flying at an altitude of 300 meters when the pilot decided to land by descending at a rate of 2 meters per second. For which of these rules does y represent the altitude of the hot air balloon, if x represents the number of seconds since the pilot started her landing?

Answers

Answer:

The answer is "150 seconds".

Step-by-step explanation:

[tex]\to distance = 300 \ meter\\\\\to speed = 2 \ \frac{m}{s} \\\\\ formula: \\\\ \bold{speed = \frac{distance}{time}}\\\\[/tex]

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

        [tex]=\frac{300}{2}\\\\=150 \ seconds[/tex]

can someone help me with this

Answers

A ) 40

2^2=4
6^2=36
4+36=40

help I will gvie brainiest
Shelly runs 2.5 miles in 18 minutes. What is her mile time in minutes?​

Answers

Shelly runs 2.5 miles every 18 mins. To find out how many minutes it takes her to run one mile, let's divide 18 by 2.5

18 mins / 2.5 miles = 7.2 mins / mile

help please :( help me :)​

Answers

Answer:

  -2/3

Step-by-step explanation:

We are trying to find the slope given two points

m = ( y2-y1)/(x2-x1)

   = ( -1-3)/( 2- -4)

   = ( -1-3)/( 2+4)

   -4/6

  -2/3

Dylan and his friends are going into a bakery. How much would it cost to buy 1 cookie and 5 brownies if each cookie costs $0.50 and each brownie costs $2.25? How much would it cost to buy 11 cookies and 55 brownies if each cookie cost \$c$c and each brownie cost \$b?$b?

Answers

Answer:

a)$ 11.75

b) $ 129.25

Step-by-step explanation:

Dylan and his friends are going into a bakery.

Each cookie costs $0.50 and each brownie costs $2.25?

a) How much would it cost to buy 1 cookie and 5 brownies

1 × $0.50 + 5 × $2.25

= $0.50 + 11.25

= $ 11.75

b) How much would it cost to buy 11 cookies and 55 brownies

11 × $0.50 + 55 × $2.25

= $5.5 + $123.75

= $ 129.25

Study the equations: f(x) = 6x + 7 g(x) = 4x – 2 What is h(x) = f(x)g(x)? h(x) = 24x2 – 14 h(x) = 24x2 + 40x + 14 h(x) = 24x2 + 16x – 14 h(x) = 24x2 + 12x – 14

Answers

Answer:

The value of h(x) = f(x)g(x) is 24x² + 16x – 14.

Step-by-step explanation:

Answer:

C. h(x) = 24x2 + 16x – 14

Step-by-step explanation:

Just answered it on Edge Unit Test. It is correct.

can someone help me with this
2x+4y+3z=6
x-2y+z=-5
-x-3y-2z=-7
solve for x,y,z

Answers

Answer:

x = -7 2/3, y = 1 1/3 and z = 5 1/3.

Step-by-step explanation:

2x+4y+3z=6    .....  1

x-2y+z=-5        ...... 2

-x-3y-2z=-7      .......3

Add equations 2 and 3 to eliminate x:

-5y - z = -12   .....4

Multiply equation 2 by - 2:

-2x + 4y  - 2z = 10

Add this to equation 1:

8y + z = 16   ........ 5

Now add equation 4 to equation 5:

3y = 4

y = 4/3 = 1 1/3.

Now find z by substituting for y in equation 4:

-5(4/3) - z = -12

z = 12 - 20/3

z = 36/3 - 20/3 = 16/3 = 5 1/3.

Finally, we find x by substituting for y and z in equation 1:

2x + 4*4/3 + 3*16/3 = 6

2x = 6 - 16/3 - 16

2x =  18/3 - 16/3 - 48/3 = -46/3

x = 23/3 =  7 2/3.

-7+0.3(-4x+20)+8.8x simplified

Answers

The answer would be

7.6x−1

.....

1.What is the slope of the function shown on the graph?

A line is graphed on a four quadrant coordinate plane. The x-axis and the y-axis go from negative 10 to 10 in increments of 1. The line passes through (0, 7) and (4, 2).

A−56

B−54

C−65

D−45

2.A quarry runs a delivery service for crushed stone. The cost to deliver the crushed stone is a flat fee for the delivery and the cost of the crushed stone in terms of weight. The graph of the total cost, C, in dollars as a function of the weight, x, in pounds of the crushed stone is shown. What is the meaning of the y-intercept?

A line is graphed on a first quadrant coordinate plane. The horizontal x-axis is labeled Weight in pounds and goes from 0 to 6000 in increments of 200, and the vertical C of x-axis goes from 0 to 500 in increments of 20. The line passes approximately through (0, 120) and (400, 134).

A.The cost of the delivery is $120.

B.The cost of stone dust is $0.035 per pound.

C.The cost of the delivery is $70.

D.The cost of stone dust is $70 per ton.

3.What is the x-intercept of the function f(x) graphed on the coordinate plane?

A line is graphed on a four quadrant coordinate plane. The horizontal axis goes from negative 7 to 7 in increments of 1, and the vertical axis goes from negative 7 to 7 in increments of 1. From left to right, a straight line passes through (0, 1) and (2, 0).

A−2

B−1

C2

D1

Answers

Answer:

1) B - 5/4

2) A. The cost of delivery is $120

3) C 2

Step-by-step explanation:

1) The given parameters are;

The demarcations on the x-axis = -10 to 10

The demarcations on the y-axis = -10 to 10

The coordinates of two points on the graph are (0. 7), and (4, 2)

The slope, m, of a graph is given by the following equation;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Given that (x₁, y₁) = (0. 7) and (x₂, y₂) = (4, 2), we have;

[tex]Slope, \, m =\dfrac{2-7}{4-0} = -\dfrac{5}{4}[/tex]

The slope, m = -5/4

Taking B. as = -5/4

2. The given information are;

The nature of the cost of delivery of crushed stone = Cost of delivery, A

The function, f, for the cost of crushed stone of mass, x is the cost C, f(x) = C = m × x + A

Whereby the the graph of the total cost of the crushed stone is a straight line graph, we have;

C = m × x + A

At the y-intercept, x = 0, we have;

C[tex]_{(y-intercept)}[/tex] = m × 0 + A

C[tex]_{(y-intercept)}[/tex]  = A = Cost of delivery

The points on the line are;

(0, 120) and (400, 134), therefore, the slope, m, is given as follows;

[tex]Slope, \, m =\dfrac{134-120}{400-0} = \dfrac{14}{400} = 0.035[/tex]

We have;

(C - 134) = 0.035×(x - 400)

C = 0.035·x - 14 + 134 = 0.035·x + 120

C = 0.035·x + 120

At the y-intercept, x = 0, we have;

C[tex]_{(y-intercept)}[/tex] = 0.035 × 0 + 120

C[tex]_{(y-intercept)}[/tex]  = 120 = Cost of delivery

Therefore, the cost at the y-intercept = The cost of delivery = $120

3. The coordinates of points on the graph are;

(0, 1) and (2, 0)

The slope, m = (0 - 1)/(2 - 0) = -1/2

The equation of the line in point slope form is given as follows;

(y - 0) = -1/2 × (x - 2)

y = -x/2 + 1

The x-intercept occurs at the point y = 0, which is presented as follows;

0 = -x/2 + 1

-x/2 = -1

x = -1 × (-2) = 2

x = 2

Therefore, the y-intercept occurs at x = 2.

The correct option is

C 2

A group of students must collect at least $ 150 to organize a science fair. They have alre that the students should still collect to organize the Science fair? O -210-180-150-120-9060-30 30 60 90 120 150 180 210 -210-180 -150-120-90 90-60-30 0 30 60 90 120 150 180 210 O -210-180-150-120 90 -60-30 0 30 60 90 120 150 180 210 O H -210-180-150-120 90 60 30 0 30 60 90 120 150 180 210​

Answers

THE ANSWERS (B.) i took the test surprisingly got it right

Answer:

it is b

Step-by-step explanation:

hope it helps

1/8 divided by 2 3/4

Answers

Answer:

2 and 1/8

Step-by-step explanation:

Reduce fractions where possible.

Then your initial equation becomes 1/8 divied by 1/17.Applying the fractions formula for division, 1 17 over 8 and 1 then multiply those. Then simplfy.

[tex]\frac{1}{8}[/tex] divided by [tex]2\frac{3}{4}[/tex] is equal to [tex]\frac{1}{22}[/tex] we get by converting the mixed fraction to improper and divide them both.

The given expression is [tex]\frac{1}{8}[/tex] divided by [tex]2\frac{3}{4}[/tex].

Convert the mixed number [tex]2\frac{3}{4}[/tex] to an improper fraction.

[tex]2\frac{3}{4} = \frac{2 \times 4 + 3}{4}[/tex]

[tex]= \frac{11}{4}[/tex]

Now, we can rewrite the expression as:

[tex]\frac{1}{8} \div \frac{11}{4}[/tex]

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

[tex]\frac{1}{8} \times \frac{4}{11}[/tex]

Next, let's simplify the multiplication:

[tex]\frac{1 \times 4}{8 \times 11} = \frac{4}{88}[/tex]

We can further simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 4:

[tex]\frac{4}{88} = \frac{1}{22}[/tex]

Therefore,[tex]\frac{1}{8}[/tex] divided by [tex]2\frac{3}{4}[/tex] is equal to [tex]\frac{1}{22}[/tex].

To learn more on Fractions click:

https://brainly.com/question/10354322

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A LOT OF POINTSS

find the surface area

Answers

Answer:

He used 286.73² in. of wrapping paper.

Answer:

I got 286.73

Step-by-step explanation:

I found the area of all the shapes in the thing and added them.

Pls correct me if I did the adding wrong cuz its 55+20+20+88+103.73

A freight train is traveling at an average rate of 45 miles per hour. Which equation represents the situation?the miles traveled.
m = 45h
h = 45m
m

Answers

Answer:

m=45

Step-by-step explanation:

I hour travels 45 minutes

Answer:

m=45h

Step-by-step explanation:

your welcome

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