Graph the parabola.
y=x²+2x+2
(Will mark brainliest)

The solution to the equation is

x = b/a ± √(b^2/a^2) / a.

Generally, To solve the equation using the completing the square method, we first move all the terms to one side of the equation by subtracting abx and 2b² from both sides, giving us:

a²x² = abx + 2b²

Which is

a²x² - abx - 2b² = 0

Next, we need to add and subtract a term so that the left side of the equation can be written as a perfect square.

We need to find the square of half of the coefficient of the x term, which is -ab/2a.

So we add and subtract (ab/2a)^2 = (b^2/a^2) on the left side of the equation:

a²x² - abx - 2b² + (b²/a²) - (b²/a²) = 0

This gives us the left side of the equation as

(ax - b/a)² = b²/a².

We can then take the square root of both sides:

ax - b/a = ±√(b²/a²)

Finally, we can add b/a to both sides to get the solution:

x = b/a ± √(b²/a²) / a

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the is answer is probably c

the answer makes sense

The percent markup of the supplied statement is equal to 50% after the problem is solved.

There isn't a predetermined "optimal" markup percentage, however most companies set their markup at 50%. A 50% markup, also referred to as "keystone," denotes a price that is 50% greater than the cost of the commodity or service.

The gross profit of a unit is determined by subtracting its cost to produce or acquire for resale from its sales price to determine the markup percentage. The markup percentage is computed as (12 - 8) / 8 and equals 50% if an item is priced at $12 but costs the manufacturer $8 to produce.

Cost price of game=$25

Selling price of game=$37.50

Profit =  selling price - cost price

Profit =  37.50 - 25

Profit / markup percentage = (profit /cost price ) * 100

= (12.50/25) * 100

= 50%

The percent markup of the supplied statement is equal to 50% after the problem is solved.

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On solving the provided question, we can say that - the equation, 21 = xy; 40 = [tex]x^2-y^2[/tex] x= 2 and y = 2

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

here,

21 = xy;

40 = [tex]x^2-y^2[/tex]

x= 2

and

y = 2

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LJ and LI are the figure's two congruent portions. Congruency means that the segments' sizes and shapes will be comparable.

Two triangles are said to be congruent to one another according to the Side-Angle-Side Congruence Theorem (SAS) if the included angle and corresponding two sides of one triangle match those of the other. Two sides that are being considered are determined to have an included angle. Therefore, using the SAS Congruence Theorem to prove that two triangles are congruent based on the fact that they have two pairs of corresponding sides and one pair of corresponding angles is insufficient.

given

The two segments LI and LJ that are marked in the illustration are congruent to one another.

Congruency means that the segments will have the same size and shape.

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Attributes of a parallelogram leads to, Due to the equal length of each side and the 90° angles that they create at their corners, a square is a parallelogram.

The complete question is,

Which of the following attributes of a parallelogram leads to the conclusion that every square can be categorized as a parallelogram? Choose each option that applies.

four equal sides

two pairs of diametrically opposed equal angles

diagonals are cut in half.

two sets of parallel, opposed sides.

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Using the Double Number Line above, note that the unit that helps to find the missing numbers is given as:

Note that a unit rate is like a secret code to help you compare things. It helps you find missing numbers on a number line. For example, if 4 cookies cost $2, you can use the unit rate of $0.50/cookie to find out how much 8 cookies cost."

In the above case, we have several clues about the rate. The first relationship on the line is between 1 and 3.

But it only makes when we compare it to other iterations on the line such as 2 and 6.

Note that we can establish a relationship here which is that the greater number must be divided by three to get the lower number. That is:

3/3 = 1

6/3 = 2

Note well that the relationship between 0, 3, and 6 on the number line tell us that the upper units graduate in progressions of 3. that is:

0, 3, 6, 9, etc.

Thus, the missing numbers are:

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Answer:

59.5765%

Step-by-step explanation:

$35.74/$59.99

The length of the missing side is 54.

Triangle is a closed polygon consisting of three sides, three vertices and three angles.

Similar triangles are those triangle for which the ratio of corresponding sides is same without affecting the shape.

Given that ΔABC and ΔPQR are similar.

Let x be the side length of PR.

Ratio of their side lengths are equal.

AB : PQ = BC : QR = AC : PR

5 : 45 = 8 : 72 = 6 : x

Take the ratios 8 : 72 = 6 : x

⇒ 8 / 72 = 6 / x

Cross multiplying,

⇒ 8x = 72 × 6

⇒ 8x = 432

⇒ x = 432 / 8 = 54

Hence the side length missing is 54 units.

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Answer:

y - 1 = 3/2 (x + 10)

Step-by-step explanation:

Point-slope form of the equation of a line is a fill-in-the-blank shortcut to write an equation. If you know a point and the slope of a line you can fill in that info and voila! you have the equation.

Here is Point-slope equation:

y - Y = m(x - X)

Because the point given (-10,1) is in the form (X,Y), fill in -10 for X and 1 for Y.

The slope given is 3/2, fill that in for m.

y - Y = m(x - X)

y - 1 = 3/2 (x - -10)

y - 1 = 3/2 (x + 10)

The equation is

y - 1 = 3/2 (x + 10)

No, 11^2 x 5^4 is not a factor of 11^3 x 5^4.

To see this, you can divide 11^3 x 5^4 by 11^2 x 5^4 and see that there is a remainder.

11^3 x 5^4 = (11 x 11 x 11) x (5 x 5 x 5 x 5)

= 121 x 625

= 75125

11^2 x 5^4 = (11 x 11) x (5 x 5 x 5 x 5)

= 121 x 625

= 75125

75125 / 75125 = 1 with a remainder of 0.

Therefore, 11^2 x 5^4 is not a factor of 11^3 x 5^4.

There are infinite many triangles that can be formed with the angle measures 20, 100, and 60 degrees

From the question, we have the following parameters that can be used in our computation:

Angles = 20, 100, and 60 degrees

The above parameters are angles

When only angles are given, the triangle can have as many side lengths as possible

This means that there are infinite many triangles

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Answer:

2000 workers

Step-by-step explanation:
All the workers: 100%
Women: 60%
Others: 40% = 800 workers
=> 1% of the workers: 800/40 = 20 workers
=> 100% = 20 x 100 = 2000 workers
(I can't think of another one)

4th option: parallelogram

Answer:

To find the coordinates of the point on the x-axis that is reflected over the x-axis from the point P, you can use the formula (x, -y). In this case, the x-coordinate of point P is 4, so the x-coordinate of the reflected point will also be 4. The y-coordinate of point P is 7, so the y-coordinate of the reflected point will be -7. Therefore, the coordinates of the reflected point are (4, -7).

Answer:

Step-by-step explanation:
Step 1: Subtract 8cx from both sides of the equation to get

10ax + 9b - 8cx = d

Step 2: Subtract 9b from both sides of the equation to get

10ax - 8cx = d - 9b

Step 3: Multiply both sides of the equation by (-1/10) to get

-8cx/10 = -(d - 9b)/10

Step 4: Add (d - 9b)/10 to both sides of the equation to get

-8cx/10 + (d - 9b)/10 = 0

Step 5: Simplify the left side of the equation to get

x = (9b - d)/80

Therefore, x = (9b - d)/80 is the solution to the equation 10ax + 9b = 8cx + d.

The volume of the storage shed is 125600 ft³.

The storage shed will be refilled after using 125600 ft³ of salt.

The cylindrical storage shed shown below is completely filled with road salt to make a town's roads safer during snow storms.

The volume of the storage shed can be found as follows;

volume of a cylinder = πr²h

where

Therefore,

r = 40 / 2  =20 ft

h = 100 ft

volume of the storage shed = 3.14 × 20² × 100

volume of the storage shed = 3.14 × 400 × 100

volume of the storage shed = 125600 ft³

Therefore, the storage shed can handle 125600 ft³ of salt before it needs to be refilled.

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It will it take 56 years for the account value to reach $20,900.

This amount is calculated based on the principal amount of a loan or the first deposit in a savings account. Simple interest does not compound, thus, a creditor will only pay interest on the principal amount and a borrower would never have to pay more interest on the previously accumulated interest.

formula for calculating Simple Interest, S.I:

S.I = P * R * T

            100

Where,

S.I =  Simple Interest

P =Pricipal

R = rate ( in percentage)

T= Time

To how long will it take for the account value to reach $20,900

S.I = $20,900

R = 6.5%

P =$ 5,700

T =?

S.I = P * R * T

            100

$20,900 = $ 5,700 * 6.5 * T

                            100

Cross multiplying and Making Time, T  subject of the formula we have:

$20,900 * 100 = $ 5,700 * 6.5 * T

T=   $20,900 * 100

         $ 5,700 * 6.5

T=  56.41

T ≈  56 years

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Both Kylie and Bennet are correct.

Opposite of the opposite of a number is negative if the number is a positive number.

Opposite of the opposite of a number is positive if the number is a negative number.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = x

The Opposite of x is -x.

Opposite of -x.

= -(-)

= x

Number = -x

The opposite of -x.

= -(-x)

= x

The opposite of x.

= -x

Thus,

Both the person is correct.

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Answer:

  (b)  y < x-1; y ≤ -2x+2

Step-by-step explanation:

You want to know the inequalities represented on the graph showing a solid line with negative slope and a y-intercept of 2, and a dashed line with positive slope and a y-intercept of -1, where the shading is below both lines.

If the line is included in the solution set (≤ or ≥ is used), the boundary line is graphed as a solid line. If the line is not included in the solution set (< or > is used), the boundary line is graphed as a dashed line.

Here, the line with positive slope is dashed, and the line with negative slope is solid.

  y = x -1 . . . . is a line with positive slope

  y = -2x +2 . . . . a line with negative slope

The shading is below the line for y-values less than those on the line:

  y < x -1 . . . . shading below a dashed line with positive slope

  y ≤ -2x +2 . . . . shading below a solid line with negative slope

These are the inequalities of interest.

Table (x, y) equals (0, 0), (6, 3), and (12, 6) represents a linear relationship that is also proportional.

In its most basic form, a ratio is a comparison between two comparable quantities.

There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.

If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.

The first option is linear but not proportional as 3 ×2 = 6 and 6×2 = 12.

By observing the given options we conclude that the third option is linear and proportional as,

6 ÷ 2 = 3 and 12 ÷ 2 = 6.

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Answer:

Step-by-step explanation:

You want to know if the standard form quadratic equation ax² +bx +c = 0 can be factored when c=0.

When the constant is zero, the equation becomes ...

  ax² +bx = 0

Factoring out x, we have a factored form as ...

  x(ax +b) = 0

showing that the equation can always be factored.

Answer:

18 × 3 = 54

18 + 54 = 72

Therefore, the answer is 72.

Answer: B strange and harrowing story.

Step-by-step explanation: Based on the description of the stranger's face in the novel, it is likely that the captain would expect the stranger to tell a strange and harrowing story. The stranger's face is described as "wild" and "ghastly," which suggests that the story he is about to tell may be disturbing or unsettling in some way. The captain may also expect the story to be emotionally intense, given the stranger's appearance and demeanor.

Sevati has 18 magazines in her collection. Sevati's collection of periodicals is represented by the phrase x - 7 = 25.

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.  Let's examine the writing of expressions. An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being comparable to phrases.

given

If x is the alita collection,

then sevati is equal to x - 14 + x = 50.

Sevati's collection of magazines is represented by the formula 2x - 14 = 50, hence the alita collection is equal to 2x = 36

x = 18

Sevati has 18 magazines in her collection. Sevati's collection of periodicals is represented by the phrase x - 7 = 25.

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Answer: it depends on the number you took

Step-by-step explanation:

Therefore , the solution of the given question of fractions comes out to be 5th option -3/5.

An element of a fraction or ratio is a piece of a whole. The number of equally sized pieces into which the whole has been divided is represented by the denominator b, and the number of parts that are included is represented by the numerator a. The LCM of two fractions' denominators is the least common multiple (LCD) of those denominators.

Here,

Given:

2 [tex]\frac{3}{4}[/tex], -1 [tex]\frac{3}{4}[/tex], 3/5 ,  -2 [tex]\frac{3}{4}[/tex], -3/5, -1  , [tex]\frac{3}{4}[/tex],

Therefore , by seeing the above given numbers ,

We compare above number

and we get to know ,

The 5th number 3/5, comes out to be smallest number from the following given numbers.

Therefore , the solution of the given question of fractions comes out to be 5th option -3/5.

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