x^2 + 1/2x +____ = 2 + ____

Answers

Answer 1

Answer:

  1/16, 1/16

Step-by-step explanation:

Perhaps you want to complete the square. You do that by adding the square of half the x-coefficient:

  ((1/2)/2)^2 = (1/4)^2 = 1/16

The number to complete the square is 1/16. It is added to both sides of the equation to give ...

  x^2 +1/2x +1/16 = 2 +1/16

_____

Written as a square, the equation is ...

  (x +1/4)^2 = 33/16


Related Questions

NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!

What is the volume of a can of beans with a height of 20 cm. and a radius of 12 cm? Use 3.14 to approximate π. Express your answer in hundredths.

Based on the above math problem fill in the numbers for the known values. Notice the units are provided, so ONLY enter the number.

Answers

Answer:

9043.20

Step-by-step ex planation:

V=π[tex]r^2[/tex]h

V= π [tex](12)^2[/tex] (20)

V=2880(π=3.14)

V=9043.2 and in hundreths that would be 9043.20

Mr. Khan went for a trip in his car, which travels 14.5km/h on 1 liter petrol. The
reading of a speedometer was 19034.0 km when he started his journey and read
19396.5 km after he had completed his journey. How many liters of petrol are
consumed?

Answers

Answer:

25L

Step-by-step explanation:

19396.5 km - 19034.0 km = 362.5‬ km travled

362.5 km / 14.5 km/L = 25L

PLEASE HELP WITH THIS EASY MATH QUESTION!! it’s down below!!!!!!

Answers

Answer:

1

Step-by-step explanation:

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

Answer:

3

Step-by-step explanation:

Hope this helps.

Im a parent for a 5th grader and don't remember this, plz help?
Again,
Josh wants to make 5 airplane propellers. he needs 18 centimeters of wood for each propeller. how many centimeters of wood will he use? How can I help him understand this problem.

Answers

Answer:

90 cm.

Step-by-step explanation:

One airplane propeller needs 18 centimetres of wood.

Josh wants to make 5 of them.

So, we would have to take the '18' centimetres of wood and multiply by 5 to get the total for all 5 pieces.

[tex]\text{Number of Propellers} * 18 \text{ Centimetres}[/tex]

[tex]5 * 18 = 90[/tex]

Josh should need 90 centimetres of wood total to make 5 airplane propellers.

So since josh wants to make 5 airplane propellers and he would need 18 centimeters of wood for each propeller. He would need 90cm of wood. When I was younger I would just add. For this problem I would just do this. 18+18+18+18+18=90. I would suggest doing this if your child isn’t very good a multiplication. I’m sorry if this is wrong or something it’s been 7 years since I have been to the 5th grade.

Answer=90

se x vale 3 quanto vale 2x​

Answers

Answer:

6

Step-by-step explanation:

x=3

2x = 2(3) = 6

Rewrite as a simplified fraction.
0.1 with the 1 repeating

Answers

Answer:

[tex]\frac{1}{9}[/tex]

Step-by-step explanation:

[tex]\frac{1}{9} =0.111111111111111111[/tex]

Line parallel to the y-axis that passes through the point (77,88)

Answers

Answer:

A line which is parallel to the y-axis has form of x = a

This line passes (77, 88), then a = 77

=> The equation of this line: x = 77

Hope this helps!

:)

Figure A is translated 3 units right and 2 units up. The translated figure is labeled figure B. Figure B is reflected over the x-axis. The reflected figure is labeled figure C. Which best explains why figure A is congruent to figure C? On a coordinate plane, triangle A has points (1, negative 2), (3, negative 2), (3, negative 5). Triangle B has points (4, 0), (6, 0), (6, negative 3). Triangle C has points (4, 0), (6, 0), (6, 3). A Is congruent to B and B Is congruent to C A Is congruent to A, B Is congruent to B, C Is congruent to C Each triangle is a right triangle. Each triangle is an isosceles triangle.

Answers

Answer:

A Is congruent to B and B Is congruent to C

Step-by-step explanation:

Let's look at the answer choices:

A: "A Is congruent to B and B Is congruent to C"

Well, clearly, if A ≅ B and B ≅ C, then by the transitive property, we can say that A ≅ C. So, A is very likely correct.

B: "A Is congruent to A, B Is congruent to B, C Is congruent to C"

Just because A is congruent to itself (and same with B and C) doesn't necessarily mean that they're congruent to each other. So, B is wrong.

C: "Each triangle is a right triangle."

Again, there are so many right triangles out there with different dimensions. For example, there are some with sides 3, 4, and 5, and others with sides 5, 12, and 13. They are not congruent, however. So, rule out C.

D: "Each triangle is an isosceles triangle."

This is just like choice C since there are so many variations of isosceles triangles. So D is wrong.

The answer is thus A.

Answer:

First one:

A Is congruent to B and B Is congruent to C

Step-by-step explanation:

Since B is obtained by translating A, it has the same measure angles and sides as A, hence B is congruent to A

C is obtained by reflecting B, which doesn't alter the measure of sides and angles, so C is congruent to B

Therefore by transition, C is congruent to A

What is the area of the triangle

Answers

Answer:

A. 6 inchesssssssss

Answer:

6

Step-by-step explanation:

A deli receives a large order for sandwiches for a company picnic. The company wants one club sandwich and two regular sandwiches for each person. The company also wants an extra Dagwood sandwich. A club sandwich has $3$ slices of bread. A regular sandwich has $2$ slices. A Dagwood has $5$ slices.

If there are $n$ people going to the company picnic, how many slices of bread does the deli need to make this order? Write your answer as a fully simplified expression. Your answer should have the variable $n$ in it exactly once.

Answers

Answer:

:P

Step-by-step explanation:

Can anyone help me with this?​

Answers

Answer:

35 yards

Step-by-step explanation:

20yd+15yd

you add 20yd and the 15yd and that is your area.

Dove for x in the diagram below.

Answers

The answer would be five because it is a 90° angle and 50% is taken up which means the other part is 40%. 40÷8 is five

I WILL GIVE BRAINLIEST PLEASE HELP!! Determine whether the given sequence could be geometric, arithmetic, or neither. If possible, identify either the common ratio or the common difference.
−1280, −320, −80, −20, −5, ....

Answers

Answer:

  geometric, 1/4

Step-by-step explanation:

An arithmetic sequence will have a common difference. A geometric sequence will have a common ratio. If neither of those describes the sequence, it is "neither."

Obviously the difference between numbers in this sequence is decreasing, so this is not an arithmetic sequence.

__

The ratios of adjacent terms are ...

  -320/-1280 = -80/-320 = -20/-80 = -5/-20 = 1/4

The sequence is a geometric sequence with a common ratio of 1/4.

To the nearest tenth of a cubic centimeter, what is the volume of
the sphere if r = 17 cm?

Answers

20579.53 cubic centimeters.

Answer:

V≈20579.53

Step-by-step explanation:

[tex]V=\frac{4}{3} \pi r^3[/tex]

Domain is the set of all input values, while range is the set of all:
independent variables
C. relations
b. output values
d. functions
а.

Answers

I am thinking it will be d . Functions

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for fraction bar(s)
f(x) {____if -1_< x _<1
____if 3_< x _<5

Answers

Answer: f(x) = 4  if -1 ≤x ≤ 1

f(x) = x - 1 if 3≤ x ≤ 5

Step-by-step explanation:

if -1 ≤x ≤ 1

We can see that in this range the function is constant, f(x) = 4

if 3≤ x ≤ 5

In this region we can see a linear relationship, with the points (3, 2) and (5, 4)

as the extremes, we can find the slope of this linear equation as:

s = (4 - 2)/(5 - 3) = 2/2 = 1

So our equation is

f(x) = 1*x + b

to find the value of b we can evaluate our function in the first point, we know that when x = 3, y = 2, so we have:

2 = 1*3 + b

b = 2- 3 = -1

then f(x) = 1*x  - 1

Then we have:

f(x) = 4  if -1 ≤x ≤ 1

f(x) = x - 1 if 3≤ x ≤ 5

Fill in the table using this function rule.
y= 3x - 3

Answers

Answer:

1. -3*-4+3= 15

Y=15

2.-3*-2+3=9

Y=9

3. -3*0+3=3

Y=3

4. -3*2+3= -3

Y= -3

What is the axis of symmetry for the graph of y – 4x = 7 – x2 ?

Answers

Answer:

  x = 2

Step-by-step explanation:

A graph shows the axis of symmetry easily. It is the x-coordinate of the vertex.

  x = 2

__

You can rearrange the equation to ...

  y -7 = 4x -x^2

  y -7 = x(4 -x)

The axis of symmetry is halfway between x-values that give the same y-value. Here, y=7 for x=0 and for x=4. That is, the right side of this equation is zero at those x-values. The axis of symmetry is halfway between, at x = (0+4)/2 = 2

The axis of symmetry is x=2.

_____

Alternate solutions

In standard form,

  ax^2 +bx +c = y

the axis of symmetry is ...

  x = -b/(2a)

Putting this equation into that form, we have ...

  -x^2 +4x +7 = y

  x = -(4)/(2(-1))

  x = 2 . . . . axis of symmetry

__

We can rearrange the equation to vertex form.

  y -7 = -x^2 +4x

  y -7 -4 = -(x^2 -4x +4) . . . . . add the square of half the x-coefficient inside parentheses. Add an equal amount to the other side of the equation.

  y -11 = -(x -2)^2

This tells us the vertex of the graph is (2, 11), so the axis of symmetry is x=2.

what is the difference between 64,926 and 49,079​

Answers

Answer:

15847

Step-by-step explanation:

I did the math

Answer:

15,847

Step-by-step explanation:

At 3:30 P.M., the water level in a pool is 14 inches. At 4:00 P.M., the water level is 20 inches. At 5:00 P.M., the water level is 32 inches. What is the constant rate of change?

Answers

Answer: Per 1/2 an hour it is changes by 5 so the constanT rate would be: 5 inches per 1/2 an hour

Which expression is equivalent to m n + z?
n m + n
z + m z
m z + n
z + n m

Answers

Answer:

z + n m

Step-by-step explanation:

These expressions are equivalent because the commutative property of addition, which states that when adding two terms, the order doesn't matter.

If this answer is correct, please make me Brainliest!

Answer:

It's "c"

Step-by-step explanation:

i just did this on edge

Which of the following explains the cause of the seasons changing on Earth?



The rotation of the Earth and sun.



The tilt of the axis of Earth and orbit of Earth around the sun.



The orbit of the Earth around the sun and rotation of the Earth.



The orbit of the Earth around the sun and rotation of the sun.

Answers

Answer:

The tilt of the axis of Earth and orbit of Earth around the sun.

Step-by-step explanation:

Answer options

The rotation of the Earth and sun.

 Incorrect

The tilt of the axis of Earth and orbit of Earth around the sun.

 Correct, seasons change because Earth tilts on its axis, and the angle of tilt causes the Northern and Southern Hemispheres to trade places throughout the year in receiving the sun's light and warmth most directly

The orbit of the Earth around the sun and rotation of the Earth.

 Incorrect

The orbit of the Earth around the sun and rotation of the sun.

Incorrect

Answer:

C - The orbit of the Earth around the sun and rotation of the Earth.

Step-by-step explanation:

Meg is building a rectangular prism with cubes. Which is the volume of Meg's
rectangular prism?

Answers

Answer:

48

Step-by-step explanation: 4x8=32 2x8=16 32+16=48 :)

sam has 356 stuffed animals all of wich are either cats or eliphants the number of elephants he owns is 17 more than twice the number of cats.

how many of each type of stuffed animal does he own.

Answers

Answer:

113 cats243 elephants

Step-by-step explanation:

If Sam subtracts 17 elephants from his collection, he has 339 stuffed animals that are 2/3 elephants and 1/3 cats.

The number of cats is 339/3 = 113.

The number of elephants is 356 -113 = 243 = 2·113 +17.

Sam has 113 cats and 243 elephants.

Let P(-6,4) be a point on a rectangle PQRS. What are the coordinates of P if the rectangle is dilated by a scale factor of 3/8?

Answers

Answer:

  (-2.25, 1.5)

Step-by-step explanation:

If dilation is about the origin, each of the coordinates is multiplied by the dilation factor:

  P' = (3/8)P = 3/8(-6, 4) = (-18/8, 12/8)

  P' = (-2.25, 1.5)

A polynomial function had -5+ root 3i as a root which of the following must also be a root of the function

Answers

Answer:

  none of the above (talk to your teacher about this)

Step-by-step explanation:

If a polynomial has real coefficients, complex roots come in conjugate pairs.

A root of [tex]-5+\sqrt{3} i[/tex] will have a conjugate of [tex]-5-\sqrt{3}i[/tex], which will also be a root.

__

Here, it looks like the given root is [tex]-5+\sqrt{3i}[/tex], which is different from [tex]-5+\sqrt{3}i[/tex]. None of the listed choices is the complex conjugate of this value.

The value of [tex]-5+\sqrt{3i}[/tex] is ...

  [tex]-5+\sqrt{3i}=-5+(\sqrt{\dfrac{3}{2}}+\sqrt{\dfrac{3}{2}}i)[/tex]

so its conjugate is ...

  [tex](-5+\sqrt{3i})^*=-5+\sqrt{\dfrac{3}{2}}-\sqrt{\dfrac{3}{2}}i=\boxed{-5+\sqrt{-3i}}[/tex]

You will note that this is not among the answer choices.

_____

Additional comment

When a problem like this has an error in its presentation, we highly recommend you discuss it with your teacher (to get it corrected or deleted for future students). If you feel you must select one of the (erroneous) answer choices, your computer will probably accept the choice of [tex]-5-\sqrt{3i}[/tex], the first one.

Answer:it’s A

Step-by-step explanation:

I got it right on edg

A yearbook staff has 30 members. In how many different ways can an editor, photographer, designer, and advisor be selected?

Answers

Answer: 657,720

Step-by-step explanation:

If each person can have only one role, we have that:

For the Editor selection we have 30 possible options

for the pothograper we have 29 options, because we already selected one

for the designer we have 28 options

for the advisor we have 27 options

the total number of combinations is the product of the options for each selection;

C = 30*29*28*27 = 657,720

Theater tickets cost $16 for general admission or $9 with a student ID.
Total ticket sales for a certain showing was $4983. Write an equation
in standard form that shows the possible number of general
admission tickets, x, and student tickets, y, that were sold. Then, find
the total number of student tickets sold if 240 were general
admission tickets.​

Answers

Answer:

127 student tickets

Step-by-step explanation:

16x + 9y = 4983

x = 240, so substitute that in.

16(240) + 9y = 4983

3840 + 9y = 4983, substract 3840 from both sides

9y = 1143, then divide both sides by 9

y = 127 student tickets

Answer: 16x + 9y = 4983

240 general admission tickets and 127 student tickets

Step-by-step explanation: If you already know that there are 240 general admission tickets and general admission tickets cost 16 dollars the multiply 16 times 240 to get 3840

then subtract 4983 - 3840 to get 1143 which is the money earned on students so now divide 1143 by 9 to get 127

hope this helps mark me brainliest if it did

Which sequence of transformations produces an image that is not congruent to the original figure?

A. A reflection across the x axis followed by a rotation of 180 counterclockwise

B. A translation of 6 units to the left followed by a reflection across the x-axis

C. A rotation of 90° clockwise followed by a translation of 4 units to the left

D. A translation of 4 units to the left followed by a dilation of a factor of 3

Answers

Answer:

  D. A translation of 4 units to the left followed by a dilation of a factor of 3

Step-by-step explanation:

Of the transformations, rotation, reflection, translation, dilation, the first three (rotation, reflection, translation) are known as "rigid" transformations. They do not change the shape or size of the object. Any result of a rigid transformation is congruent to the original.

Dilation, by its nature, changes the size of the object, so the result is NOT congruent to the original.

Choice D includes dilation, so the image is not congruent to the original.

Determine whether the equation is always sometimes or never true 2/3x+4=2x

Answers

Answer:

true

Step-by-step explanation:

x=3

The value of the variable x is 3. Then the equation is always true.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given below.

(2/3)x + 4 = 2x

Simplify the equation, then the value of x will be

2x + 12 = 6x

4x = 12

x = 3

The value of the variable x is 3. Then the equation is always true.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

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