Priya solved the following quadratic equation by completing the square. Her work is shown.
(+ 6x-11 =0
Original equation
x?+6x=11
Step 1: Isolate the variables to one side
4x +6x+6=17
Step 2: Complete the square when b = 6
(x+3)=17
Step 3: Factor and square the trinomial
x+3=‡/17
Step 4: Take the square root of both sides of the equation
x=-3‡/17
Step 5: Inverse operations to isolate the variable
What mistake did Priya make?
A
In Step 2, Priya did not correctly complete the square.
B
In Step 5, Priya did not finish simplifying her answer.
C
In Step 3, Priya should have also squared the 17.
D
In Step 1, Priya should not have changed the sign of 11

Answer:

A. 72°

D. 144°

E. 216°

Step-by-step explanation:

are you tempted to calculate the internal angles ?

that is, I guess, the trap set by your teacher here, and it would be the wrong approach.

nevertheless, quickly just as a reminder :

the sum of all internal angles in a polygon is

(n - 2)×180°

n being the number of sides.

in our case that is

(5 - 2)×180 = 3×180 = 540°

so, each internal angle is 540/5 = 108°.

but we are not turning at an edge or vertex. no, we are turning the pentagon around is central point.

we are running each vertex along a circle arc. the center of that circle being P.

after every 1/5 of the circle arc there is a vertex of the pentagon.

and whenever we rotate one vertex on top of the next one, we carry the pentagon visually onto itself.

so, instead of a full circle rotation we need only 1/5 of that :

360 / 5 = 72°

and with every additional 1/5 of the circle arc (or 72°) we get it again.

that means at

72°

144°

216°

288°

360°

the pentagon carries onto itself.

therefore, A, D and E are correct.

Answer:

A. $0.22 per tortilla

B. $0.19 per tortilla

Step-by-step explanation:

A. All you gotta do is divide the money by the amount of product.

4.40 ÷ 20  = 0.22

B. All you gotta do is divide the money by the product.

8.55 ÷ 45 = 0.19

Therefore, the best pack to spend your money on would be the larger pack  B.

Answer:

The correct option is 1.

Step-by-step explanation:

We have to find a function where f(2)=4. It means the value of function is 4 at x=2.

In graph 1, the value of function is 4 at x=2, therefore option 1 is correct.

In graph 2, the value of function is -4 at x=2, therefore option 2 is incorrect.

In graph 3, the value of function is not shown in the graph at x=2, therefore option 3 is incorrect.

In graph 4, the value of function is not shown in the graph at x=2, therefore option 4 is incorrect.

Thus, correct option is 1.

Answer:

  852

Step-by-step explanation:

You want the next number in the pattern that starts with 5, 12, 33, 96, 285.

When looking for patterns in sequences, it is often useful to consider first differences and the relations between them.

  12 -5 = 7

  33 -12 = 21

  96 -33 = 63

  285 -96 = 189

We notice that these differences have a common ratio of 3. This suggests the next difference will be 189×3 = 567.

The next number in sequence is 285 +567 = 852.

__

Additional comment

When differences have a common ratio, an exponential sequence is indicated. These differences have a ratio of 3, but are not powers of 3, so the exponential term needs additional components to completely describe the sequence. We expect there are horizontal and vertical offsets involved.

Exponential regression gives the explicit formula as ...

  y = (3 +7·3^(x-1))/2

Answer: 7.2 hours

Step-by-step explanation:

the interval for each number on the number line is 2.4 because 12 divide by 5 intervals = 2.4

and 2.4 x 3 = 7.2

First you need to find out how long it takes to cook a single kilogram of meat, by doing 12/5 you get 2.4 for one kilo of meat. Now you need to multiply 2.4 by 3 and you will get 7.2, so you can either put 7.2 hours or that converts to 7 hours and 12 minutes.

Answer:

See below

Step-by-step explanation:

Expand to get    x^2 - 8x + 40 = 0

  a = 1      b = -8    c = 40

Answer:

Do like this:

Step-by-step explanation:

x+9=5+2x

and

2x-x=9-5

x=4

Answer:

20

Step-by-step explanation:

Hope the picture helps

You keep subtracting until you get zero and you keep adding the same amount

If Peter wanted to buy only postcards, he could buy 2 postcards.

Given that,

Peter can afford to buy either 4 postcards and 9 stickers or 8 postcards and 6 stickers.

Both options leave him with no change.

Peter wants to buy only postcards.

Assume that the cost of a postcard is the same as the cost of a sticker.

In the first scenario,

Peter spends the same amount on postcards and stickers.

So, if he wanted to buy only postcards,

He could buy half the number of postcards he could buy in the first scenario.

Therefore, Peter would be able to buy 2 postcards if he wanted to buy only postcards.

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Answer:

because it is a square, you just need to make a square with the side lenghts all being a or b

Step-by-step explanation:

Answer:

To see if something is a function, just draw lines down the graph, if it touches the line twice, then that means it does not pass the vertical line test, meaning it is not a function
(By the line, I mean what you wrote on the paper,)
For example, a parabola is a function, because when you do the vertical line test, it only touches the line at one point, and not two,

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

(I included a picture that should help explain better)

Answer: -5<=x≤3   ==> 3rd option

Step-by-step explanation:

(x-3)(x+5)≤0

x-3>=0 and x+5≤0

x>=3 and x≤-5      ==> Not possible since a number subtracted by 3 can't be greater than the same number added by 5.

x-3≤0 and x+5>=0

x≤3 and x>=-5 ==> -5<=x≤3   ==> 3rd option

The solution to the inequality is {x | -5 ≤ x ≤ 3}, option C is correct.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is (x-3)(x+5) ≤0

To solve this inequality, we first find the critical points by setting the expression inside the inequality to zero:

(x-3)(x+5) = 0

This gives us two critical points: x=3 and x=-5.

We want to find where the expression is less than or equal to zero, so we include the endpoints of the intervals where the expression is zero or negative.

Hence,  the solution to the inequality is {x | -5 ≤ x ≤ 3}, option C is correct.

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Step-by-step explanation:

y=1

x=1

jsjwoqoqoqpqowowoqoao

The values are different on both sides, this shows that the equation has no solution.

Linear equations are equation that has a linear degree of 1. Given the expression below;

10x = 2.5x

You can see that the variable of "x" are on on both sides, hence we can cancel them out to have:

10x/x = 2.5x/x

10 = 2.5

From the result, you can see that the values are different on both sides, this shows that the equation has no solution.

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The linear equation has only one solution, which is x = 0.

Here we have the linear equation:

10x = 2.5*x

Let's solve this to see how many solutions we have, if we subtract 2.5x in both sides we get:

10x - 2.5x = 0

7.5x = 0

The only solution of this linear equation is x = 0.

7.5*0 = 0

Then we can conclude that the equation has only one solution, which is x = 0.

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The state income tax owed on a $30,000 per year salary is $1,524

What are the applicable tax rates?

The applicable tax rates are that the first $2,000 of taxable income is taxed  at 2%, such that $9000 minus the earlier $2000, is taxed at 5% and any taxable income beyond $9,000 is taxed at 5.4%, in essence, the income tax owed by a taxpayer whose taxable income is $30,000 is computed thus:

income tax on first threshold=$2000*2%=$40

income tax on second threshold=($9000-$2000)*5%=$350

income tax on the last threshold=($30,000-$9,000)*5.4%=$1,134

total state income tax owed=$40+$350+$1,134

total state income tax owed=$1,524

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Answer:

  93 square units  (the figure is not a rhombus)

Step-by-step explanation:

You want the area of the figure whose vertex coordinates are A(0,-5), B(9,2), C(12,13), and D(2,7).

The formula for the area of a polygon based on its coordinates might be written ...

  [tex]\displaystyle A=\frac{1}{2}\left|\sum_{k=1}^n{x_k(y_{k+1}-y_{k-1})}\right|[/tex]

where coordinate indices wrap around from the end to the beginning.

Using this formula, we find the area to be ...

  A = 1/2|0(2-7) +9(13-(-5)) +12(7-2) +2(-5-13)|

  A = (1/2)|0 +162 +60 -36| = 1/2(186) = 93

The area of the figure is 93 square units.

The area of a rhombus could be calculated as half the product of the lengths of the diagonals. This is only true because the diagonals of a rhombus cross at right angles.

Here, the differences between diagonally opposite coordinates are ...

  AC = (12, 18) . . . . slope = 18/12 = 3/2

  BD = (-7, 5) . . . . slope = 5/-7 = -5/7

If the diagonals are perpendicular, their slopes have a product of -1. Here, the product is ...

  (3/2)(-5/7) = (-15/14) ≠ -1

The given figure is not a rhombus.

If we assume the diagonals are perpendicular, then the area would be ...

  A = 1/2√(12²+18²)√((-5)²+7²) = 1/2√34632 ≈ 93.048

Rounded to the nearest tenth, this area would be 93.0 square units.

The diagonals actually cross at an angle of about 88.152°, so the area is actually ...

  93.048·sin(88.152°) = 93 square units (exactly)

(Development of this formula is beyond the scope of this answer.)

Answer:

a) 0.02

b) 0.7

c) 7

Step-by-step explanation:

0.2 × 0.1

1 - (0.2 + 0.1)

10 - (2+1)

The correct option is D: k/2 is the expression that is equivalent to the expression, K/2.

In response to the question;

We must determine the expression that is equivalent to k/2.

Among the options, Option D: k/2 is same as expression K/2.

Choice C, when written as (1/2)k, is equivalent to k/2 since they both imply half of k.

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Answer:

2

Step-by-step explanation:

Take 92 and divide by 3

3*30 = 90

92-90 = 2

There are 2 donuts left over

Answer:

explicit formula is a mix of different upgraded formulas

Step-by-step explanation:

Answer:

80 and 90

Step-by-step explanation:

[tex]\sqrt{x}=9 \implies x=9^2=81 \implies 80<x<90[/tex]

Mario viaja 48 segundos para encontrarse con Luis.

La distancia se define como la longitud de la trayectoria real recorrida por una partícula en movimiento. El desplazamiento se define como la distancia más corta entre la posición inicial y final de un cuerpo. La distancia recorrida por una partícula en una unidad de tiempo se conoce como velocidad.

La distancia entre Luis y Mario es de 240 metros.

La velocidad al caminar de Luis es de 3 m/s.

La velocidad al caminar de Mario es de 5 m/s.

La distancia se puede definir como el producto de la velocidad y el tiempo que tarda el objeto.

Por lo tanto,

Para que Mario alcance a Luis,

Distancia = Velocidad × Tiempo

240 = 5 × t

t = 240/5 = 48 sec.

Mario tiene que viajar durante 48 segundos para encontrarse con Luis.

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Based on the fact that the larger room is twice as wide as the smaller room, the width of the larger room is 59¹/₂ inches.

The larger room is twice the width of the smaller room.

If the smaller room is 29³/₄ inches therefore, the width of the larger room will be:

= Width of smaller room x 2

Solving for the width of the larger room gives:

= 29³/₄ x 2

= 29.75 x 2

= 59.50

= 59¹/₂ inches

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Answer: They will need to sell 1,500,000 to break even.

12,000,000 / 8 is 1,500,000

The coordinates of the scaled copy of the quadrilateral ABCD using a scale factor of 2 are A'(x, y) = (1, 9), B'(x, y) = (5, 9), C'(x, y) = (3, 5) and D'(x, y) = (1, 7).

A picture of the original quadrilateral ABCD is attached aside and we are asked to generated a scaled copy of the quadrilateral ABCD using a scale factor of 2. First, we generate two orthogonal axes (x, y) and we assume that the center of dilation is at point A.

The coordinates of each point of the original quadrilateral are A(x, y) = (1, 9), B(x, y) = (3, 9), C(x, y) = (2, 7) and D(x, y) = (1, 8).

Second, determine the coordinates of the new quadrilateral by using the dilation formula:

P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]          

Where:

If we know that O(x, y) = (1, 9) and k = 2, then coordinates of the dilated point are:

A'(x, y) = (1, 9) + 2 · [(1, 9) - (1, 9)]

A'(x, y) = (1, 9)

B'(x, y) = (1, 9) + 2 · [(3, 9) - (1, 9)]

B'(x, y) = (1, 9) + 2 · (2, 0)

B'(x, y) = (1, 9) + (4, 0)

B'(x, y) = (5, 9)

C'(x, y) = (1, 9) + 2 · [(2, 7) - (1, 9)]

C'(x, y) = (1, 9) + 2 · (1, - 2)

C'(x, y) = (1, 9) + (2, - 4)

C'(x, y) = (3, 5)

D'(x, y) = (1, 9) + 2 · [(1, 8) - (1, 9)]

D'(x, y) = (1, 9) + 2 · (0, - 1)

D'(x, y) = (1, 9) + (0, - 2)

D'(x, y) = (1, 7)

The coordinates of the scaled copy of the quadrilateral ABCD using a scale factor of 2 are A'(x, y) = (1, 9), B'(x, y) = (5, 9), C'(x, y) = (3, 5) and D'(x, y) = (1, 7).

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The total volume of the tank is 300L.

The volume of a 3D figure is the space that it occupies.

Here, we are given that Yuki adds cleaning solution that is 7/900 of the tank's total volume.

Let the total volume of the tank be V

We know that the cleaning solution required to clean this tank is 2 1/3 L

Firstly, we need to convert this mixed fraction into an improper fraction, Thus, 2 1/3 = (2*3 + 1)/ 3

= 7/3 L

Thus, we can make the following equation,

(7/900)* V = 7/3

V = 7/3 (900/7)

V = 900/ 3

V = 300

Thus, the volume of the tank is 300L.

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Your question was incomplete. Check for full content here-

Yuki works at an aquarium. To clean a tank, she calculates 7/ 900 of the tank's total volume, and she adds that much cleaning solution to the tank. For a certain tank, this works out to be  2 1/3 L of cleaning solution. What is the total volume of the tank?

Answer:

300L

Step-by-step explanation:

Just did it on Khan academy.

Answer:

yes i think thats right

Step-by-step explanation:

if not then it might be b

Answer:

noun. Britannica Dictionary definition of SELLING PRICE. [singular] : the price for which something actually sells. They asked $200,000 for the house, but the eventual selling price was $175,000.

Answer:

450×6.75 = 2 956.5

So the serviceman will get 2 956.5 after 6.75 hours of doing the job

The arrangement is as follows 107,568 ; 107,658 ; 108,567

Ascending order is an arrangement from smallest to largest value.

Given:

108,567; 107,658; and 107,568

We have to arrange these numbers from least to greatest

smallest number = 107,568

largest number = 108,567

Hence, the arrangement is 107,568 ; 107,658 ; 108,567

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