Determine the positive number that must be added or subtracted to the expression to complete the square. x ^ 2 - 2x.

Answer:

hiiooioudzzxuxojxoufxodyzufxufxyfxuoxudr tztdxhxfuoxir d and

Step 1: Simplify both sides of the inequality.

10x+20<40

Step 2: Subtract 20 from both sides.

10x+20−20<40−20

10x<20

Step 3: Divide both sides by 10.

[tex]\frac{10x}{10}[/tex] <   [tex]\frac{20}{10}[/tex]

x<2

Answer:

A

Step-by-step explanation:

f has zero means that f(x)=0

if f(x)=0 we have to look intersection point or points in the graph on the x-axis.

for A

y=0

x=-3, x=4

for B

y=0

x=-4, x=3

for C

y=0

x=-4, x=-3

for D

y=0

x=3, x=4

Answer:

$478.8

Step-by-step explanation:

1 sparkler costs= $3.99

120 sparklers cost= $3.99 x 120 = $478.8

Answer:

x=8

Step-by-step explanation:

5-x=13

5-5=0

13-5=8

x stays because its a variable

x=8

one solution

9514 1404 393

Explanation:

This is a self-answering question: you solve it by graphing the equations.

The solution is where the lines intersect. The point of intersection of the lines is the point that satisfies all the equations for the lines, hence is a solution to the system. If they do not intersect, there are no solutions. If the lines are coincident, there are an infinite number of solutions.

__

The equations can be graphed by any of a number of methods. (My favorite is to let a graphing calculator do it.) The method of choice depends on the coefficients and the form the equations are given in. Methods of graphing are a topic for a more lengthy discussion.

Answer:

20% chance of h

40% chance of p

Answer:

There are more females dropping than males each year and that there are more females than males

Answer:

[tex]\% = 11.96\%[/tex]

Step-by-step explanation:

Given

See attachment for box plot

Required

Percentage greater than or equal to 233

From the box plot, the maximum is:

[tex]Max = 244[/tex]

The minimum is:

[tex]Min = 152[/tex]

Percentage greater than 233 is calculated as:

[tex]\% = \frac{Max - 233}{Max - Min}[/tex]

[tex]\% = \frac{244 - 233}{244-152}[/tex]

[tex]\% = \frac{11}{92}[/tex]

Express as percentage

[tex]\% = \frac{11}{92}*100\%[/tex]

[tex]\% = \frac{1100}{92}\%[/tex]

[tex]\% = 11.96\%[/tex]

The solution is : x = 19 is the extraneous solution Li Juan obtained.

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

Here, we have,

The given equation is 13 - 2w = w + 6.

We need to solve the equation by squaring both sides of the equation.

Now,  13 - 2w = w + 6 squaring both sides of the equation.

That is, (13-2w)²= 169 - 52w + 4w²

(w+6)²= w²+ 12w + 36

Setting them equal, we get

169 - 52w + 4w² = w² + 12w + 36

⇒3w²- 64w + 133 = 0

Now, using the quadratic formula, we get

x = (64±√(64² - 4×3×133))/6

⇒x = (64±√2500)/6.

⇒x = (64±√50)/6.

⇒x = 19 or 14/6 = 7/3.

Solving the original equation, we get

7 = 3w⇒w = 7/3

Therefore, x = 19 is the extraneous solution Li Juan obtained.

To learn more about an equation visit:

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complete question:

Li Juan solves the equation below by first squaring both sides of the equation.

13 - 2w = w + 6

What extraneous solution does Li Juan obtain?

Answer:

Step-by-step explanation:

make it 1 triangle and trapezium

1) 1/2 x 7 x 8 = 28 in2

Answer:

56 in^2

Step-by-step explanation:

A = b* h

A = (8) * (7)

A = 56

A = 56 in ^2

Hope this helps!

Answer: 82

Step-by-step explanation: since it is across from the 82, the answer is 82

Answer:

dvide 54 by 6 then the answer you get  subrtact it by 3 then the answer you get multiply iy by 2 then thats will be your answer

Step-by-step explanation:

remember always use PEMDAS always add or subract wich ever comes first and if theres none of that then do Multiply or devide wich ever comes first  ( btw your answer is   ( 3 )

Answer:

angle MON = 57 degree

Step-by-step explanation:

Angle LOM + Angle MON =90 degree (being perpendicular)

3x- 15+5x -23 = 90

8x -38 = 90

8x = 90 + 38

8x = 128

x = 128/8

x = 16

Angle MON

5x - 23

5*16 - 23

80 - 23

57 degree

Angle LOM

3x - 15

3*16 - 15

48 - 15

33 degree

9514 1404 393

Answer:

  a4 = 132,499

Step-by-step explanation:

Use the recursive relation repeatedly.

  a1 = 4

  a2 = (a1)² +3 = 4² +3 = 19

  a3 = 19² +3 = 364

  a4 = 364² +3 = 132,499

See the graph in the attached image.

Answer:

73

Step-by-step explanation:

-9+84+(-2) =

-9+82 =

= 73

Hope this helps

Answer:

2+4+6+...+2k+2(k+1) = k(k+1) + (k+1)(k+1)

Step-by-step explanation:

Proved case for n

2+4+6+...+2n = n(n+1) ................(1)

for n = k + 1, we replace n by k and add n = k+1 on both sides (

2+4+6+...+2k+2(k+1) = k(k+1) + 2(k+1))

rearrange by factoring the right-hand-side

2+4+6+...+2k+2(k+1) = (k+1)(k+2)

which if we substitute n=k+1, we get back

2+4+6+...+2(n-1) + 2(n) = n(n+1)  ...............(2)

This means that equation (1) is applicable to case n+1, and the proof by induction is completed.

Answer:

Step-by-step explanation:

Answer:

remember that:

a*i + b*j + c*k can be written as a vector: (a, b, c)

We know the acceleration of the particle, and we want to find the velocity of the particle, so we just need to integrate two times.

a(t) = (8*t, sin(t), cos(2*t))

integrating that, we get:

V(t) = ( (1/2)*8*t^2, -cos(t), sin(2*t)/2) + v0

where v0 is the vector that defines the velocity at t = 0

in the question you wrote:

V(0) = i

so i suppose that this is:

V(0) = (1, 0, 0)

Then the velocity equation gives:

V(t) = ( (1/2)*8*t^2, -cos(t), sin(2*t)/2) + (1, 0, 0)

V(t) = (4*t^2 + 1, -cos(t), sin(2*t)/2)

Now to get the position equation, we integrate it again

r(t) = ((4/3)*t^3 + t, -sin(t), -cos(2*t)/4) + r0

where r0 is the initial position, in the question you wrote:

r(0) = j

so we get:

r(0) = (0, 1, 0)

replacing that we get:

r(t) = ((4/3)*t^3 + t, -sin(t), -cos(2*t)/4) + (0, 1, 0)

r(t) = ((4/3)*t^3 + t, -sin(t) + 1, -cos(2*t)/4)

Writing this in the same notation than in the question, we get:

r(t) = [(4/3)*t^3 + t}*i + [-sin(t) + 1]*j + [-cos(2*t)/4]*k

b) Now we want to graph this:

The image isn't really good but can be used to understand the motion of the particle.

Answer: Graph B

=====================================================

Explanation:

Point A appears to be at (2.5, -1)

If we shift 6 units to the left, then we subtract 6 from the x coordinate. So the new x coordinate is now 2.5-6 = -3.5

If we shift 4 units up, then we add 4 to the y coordinate to go from -1 to -1+4 = 3

Overall, the point A(2.5, -1) moves to A'(-3.5, 3)

Graph B is the answer because of this. The other points B and C will follow the same pattern as point A does.

Answer:

Is 32,13

Step-by-step explanation:

Because one is not bigger than five so it disappears.

Answer:

It means that the investor is purchasing a piece of that company, called a share.

Step-by-step explanation:

Hope this helps

The solution is : 300 shares of Company X stock does the investor own.

A) 300 shares

B) 300 shares

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

Here, we have,

Explanation:

Let the total shares owned be 'S'

Data provided in the question:

Shares of Company X stock = 30% of S = 0.3S

Shares of Company Y stock = 1/7 of remaining stock

i.e 1/7 of (S - 0.3S) = 1/7 of 0.7S = 0.1S

Now,

A) The investor owns 100 shares of Company Y stock.

This mean

0.1S = 100

Therefore,

S = 1000 shares

Hence,

Shares of Company X stock = 0.3S = 0.3 × 1,000 = 300

B) The investor owns 200 more shares of Company X stock than of Company Y stock.

This means

0.3S = 200 + 0.1S

or

0.3S - 0.1S = 200

or

0.2S = 200

or

S = 1000 shares

Shares of Company X stock = 0.3S = 0.3 × 1,000 = 300.

The solution is : 300 shares of Company X stock does the investor own.

To learn more on percentage click:

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Complete question:

Of the shares of stock owned by a certain investor, 30 percent are shares of Company X stock and 1/7 of the remaining shares are shares of Company Y stock. How many shares of Company X stock does the investor own?

A) The investor owns 100 shares of Company Y stock.

B) The investor owns 200 more shares of Company X stock than of Company Y stock.

Answer:

Nuts= 2.56

Dried fruit= 12.44

Step-by-step explanation:

x + y = 15

5.6 x + 14.25 y = 9.06 * 15

~~~~~~~~~~~~~~~~~~~~~

x   = 15 - y

5.6 x + 14.25 y = 134.9

~~~~~~~~~~~~~~~~~~~

5.6(15 - y) + 14.25 y = 134.9

84 -5.6y + 14.25y = 134.9

19.85y - 50.9

y = 2.56

x= 12.44

Answer:

x=10

Giving brainiest would be appreciated! :D

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

Step-by-step explanation:

The problem told you what all the variables represent, so all we have to do it fill them in accordingly and solve:

[tex]V=6440e^{(.068)(8)}[/tex] and

[tex]V=6440e^{.544}[/tex] and

V = 6440(1.7228846) so

V = $11,095.38

Answer:

C 8

Step-by-step explanation:

the number cube has six sides and the coin has 2 sides