Complete the area model representing the polynomial x2 − 11x + 28. What is the factored form of the polynomial? Use the model to rewrite the expression.

Answer:

d. 12

Step-by-step explanation:

if you rewrite the first as 2x + y = 4 and then multiply it by 3, it is equal to the second equation if the right hand side is 12.

If a system of equations contains dependent equations (ie., equal give or take a scale factor), then there is not one single solution but many.

Answer: its d, 12

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

We begin with the given function [tex]f(x)=x^2[/tex]

To find [tex]g(x)[/tex], we can plug [tex]3x[/tex] into the function [tex]f(x)=x^2[/tex]

[tex]f(x)=x^2\\\\f(3x)=(3x)^2\\\\f(3x)=9x^2\\\\g(x)=9x^2[/tex]

Now that we know the equation of  [tex]g(x)[/tex], we can find the graph that is equivalent to it.

The only graph that is even close to the function [tex]g(x)=9x^2[/tex] is B, so that is our answer.

Answer:

380 tickets were sold at the door and 440 tickets were sold before

Step-by-step explanation:

x = tickets sold before

y = tickets sold at the door

x + y = 820

x = y + 80

y + 80 + y = 820

   -80           -80

2y = 740

y = 370

820 - 380 = 440

x = 440

Answer:

8c - 2

I just turned it in

Step-by-step explanation:

PLEASE MARK BRAINLIEST

Answer:

now u can mark the other person as brainlyest

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

7x + 3y = 30 (equation 1)

-2x + 3y = 3 (equation 2)

9x = 27 (subtract the two equations to eliminate y)

x = 3 (divide by 9)

7 * 3 + 3y = 30 (Substitute x = 3 into equation 1, it doesn't matter which equation you substitute into)

21 + 3y = 30 (7 * 3 = 21)

3y = 9 (Subtract 21)

y = 3 (divide by 3)

Answer is (3, 3)

Answer:

(3,3)

Step-by-step explanation:

7x + 3y = 30

-2x + 3y= 3

Multiply the second equation by -1 and add together to eliminate y

7x + 3y = 30

2x - 3y= -3

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

9x + 0y = 27

Divide by 9

9x/9 = 27/9

x = 3

Now find y

-2x+3y = 3

-2(3) +3y =3

-6 +3y = 3

Add 6 to each side

3y = 3+6

3y=9

Divide by 3

y = 3

Answer:

It'll take a bucket loads of [tex]7 * 10^{20}[/tex] to empty world's ocean

Step-by-step explanation:

Given

[tex]World\ Ocean: 1.4 * 10^9 km^3[/tex]

[tex]Bucket: 20,000 cm^3[/tex]

[tex]1 km^3 = 10^{15} cm^3[/tex]

To get the number of bucket loads, we simply divide the size of the ocean by the size of the bucket;

[tex]Number = \frac{Ocean\ Size}{Bucket\ Size}[/tex]

[tex]Number = \frac{1.4 * 10^9 km^3}{20,000cm^3}[/tex]

Expand the numerator

[tex]Number = \frac{1.4 * 10^9 * 1km^3}{20,000cm^3}[/tex]

Recall that [tex]1 km^3 = 10^{15} cm^3[/tex]

So, the expression becomes

[tex]Number = \frac{1.4 * 10^9 * 10^{15} cm^3}{20,000cm^3}[/tex]

Simplify the numerator using laws of indices

[tex]Number = \frac{1.4 * 10^{9+15} cm^3}{20,000cm^3}[/tex]

[tex]Number = \frac{1.4 * 10^{25} cm^3}{20,000cm^3}[/tex]

Expand the denominator

[tex]Number = \frac{1.4 * 10^{25} cm^3}{2 * 10,000cm^3}[/tex]

[tex]Number = \frac{1.4 * 10^{25} cm^3}{2 * 10^4\ cm^3}[/tex]

Split fraction

[tex]Number = \frac{1.4}{2} * \frac{10^{25} cm^3}{10^4\ cm^3}[/tex]

[tex]Number = 0.7 * \frac{10^{25}}{10^4\ }[/tex]

Simplify fraction using laws of indices

[tex]Number = 0.7 * 10^{25-4}[/tex]

[tex]Number = 0.7 * 10^{21}[/tex]

[tex]Number = 7 * 10^{20}[/tex]

Hence, it'll take a bucket loads of [tex]7 * 10^{20}[/tex] to empty world's ocean

Answer: She should use 12 ounces of Sweet Rose Tulsi tea and 4 ounces of Orange blossom green tea.

Step-by-step explanation:

Let x represent the number of ounces of Sweet Rose Tulsi tea that she should use.

Let y represent the number of ounces of Orange blossom green tea that she should use.

She wants to blend 16 ounces of the tea blend. It means that

x + y = 16

x = 16 - y

Sweet rose tea sells for $4.98 an ounce and Orange Blossom sells for $1.98 an ounce. If the the tea blend is to sell for $4.23 per ounce, then the 16 ounces would be sold for 16 × 4.23 = 67.68

it means that

4.98x + 1.98y = 67.68- - - - - - - - - - -1

Substituting x = 16 - y into equation 1, it becomes

4.98(16 - y) + 1.98y = 67.68

79.68 - 4.98y + 1.98y = 67.68

- 4.98y + 1.98y = 67.68 - 79.68

- 3y = - 12

y = - 12/-3

y = 4

x = 16 - y = 16 - 4

x = 12

Answer:

x = -59/4

Step-by-step explanation:

3 x+ 2 = -x-57

Add x to each side

3 x+x+ 2 = -x+x-57

4x+2 = -57

Subtract 2 from each side

4x +2-2 = -57-2

4x = -59

Divide each side by 4

4x/4 = -59/4

x = -59/4

Answer:

Option B

Step-by-step explanation:

The formula for geometric sequence is given by:

[tex]a_{n} = a_{1}r^{n-1}[/tex]

Where,

[tex]a_{n}[/tex] = nth term of sequence

[tex]a_{1}[/tex] = 1st term of the sequence

[tex]r[/tex] = common ratio (ration of the second term to the first term)

So,

Here:

[tex]a_{1}[/tex] = 12

[tex]r[/tex] = 6/12 = 1/2

Plugging in the values of [tex]a_{1}[/tex] and r in the above formula:

=> [tex]a_{n} = 12 * (\frac{1}{2}) ^ {n-1}[/tex]

Answer:

Amount of frozen soup = 2500 mL

Step-by-step explanation:

We are told that tom made 5,000 mL of soup.

We are also told he packed 2.5 Litres into his kids' lunches.

Now, from conversions,

1 liter = 1000 mL

Thus,

2.5 litres = 2.5 × 1000 = 2500 mL

Now, we are told he froze the rest of the soup.

Thus;

Amount of frozen soup = total amount of soup made - amount given to kids' lunch pack.

Amount of frozen soup =

5000 - 2500 = 2500 ml

Answer:c

Step-by-step explanation

Answer:

the Answer is A

Step-by-step explanation: took the test

Answer:

I hope it will help you......

Answer:

Sammy delivered 10 pizzas to each party.

Step-by-step explanation:

34 pizzas - 4 pizzas

= 30 pizzas

30 pizzas/ 3 parties

= 10 pizzas per party

Answer:

Hey there!

Sammy delivered four to his colleagues. Thus, he has 34-4, or 30 pizzas left.

He split these between three parties, thus each party received 10 pizzas.

Hope this helps :)

You're looking for "parabola" like shapes in which the lowest point has a y coordinate of y = 0. In this case, it would be the "parabola" portion on the right that has its lowest point at (3,0). The only interval that fits is [tex]2 \le x \le 4[/tex] which in interval notation is written as [2,4]. So this fits with choice D.

Answer: The length of each of the two equal sides is 19 km

Step-by-step explanation:. Subtract the giver lengths of the bases: 4+1= 5

43 - 5 = 38.

The trapezoid is iscosceles, so the remaining two sides are equal.

Divide. 38/2 = 19

I hope this helps you!

If you meant to say the fraction 141/8

then 141/8 = 17.625 which rounds to 18

5.89 rounds to 6

then we have 18-6 = 12

The answer is choice B

Answer:

i. 6

ii. [tex]5\frac{5}{9}[/tex]

iii. 7

Step-by-step explanation:

First organize the data from least to greatest.  3,3,4,5,6,7,7,7,8

To find the median, remove the extremes from the data over and over.

3,4,5,6,7,7,7

4,5,6,7,7

5,6,7

6

To find the mean, add all of the numbers and divide by 9

3+3+4+5+6+7+7+7+8=50

50/9=[tex]5\frac{5}{9}[/tex]

To find the modal mark, simply find the number present most in the data set: 7(occurs 3 times)

Hope it helps <3

Answer:

the answer in the paper

my correction of there ia am error in the my answer

Answer:

                 [tex]x\in\left\{\dfrac{1+\sqrt{11}}{5}\,;\ \dfrac{1-\sqrt{11}}{5}\right\}[/tex]

Step-by-step explanation:

                                   [tex]-5y^2+2y=-2\\\\-5y^2+2y+2=0\\\\a=-5\,,\ \ b=2\,,\ \ c=2\\\\\Delta=2^2-4\cdot(-5)\cdot2=44\quad\implies\quad\sqrt\Delta=2\sqrt{11}\\\\x_1=\dfrac{-2-2\sqrt{11}}{2\cdot(-5)}=\dfrac{-2(1+\sqrt{11})}{-2\cdot5}=\dfrac{1+\sqrt{11}}{5}\\\\x_2=\dfrac{-2+2\sqrt{11}}{2\cdot(-5)}=\dfrac{-2(1-\sqrt{11})}{-2\cdot5}=\dfrac{1-\sqrt{11}}{5}[/tex]

Answer:

[tex](x-4)^{2} -16[/tex]

Step-by-step explanation:

[tex]x^{2} -8x\\\frac{8}{2} =4\\4^{2} =16\\\\x^{2}-8x+16-16\\\\ (x-4)^{2} -16[/tex]

Answer: Negative

- 8y = 6

Step-by-step explanation:

-6x + 4y = -8

6x - 12y = 14

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

- 8y = 6

Answer:

Hey there! The answer to your question will be below.

Step-by-step explanation:

The correct answer to your question is 12x - 24=60

So we know that 12x will be the number of cookies.

It says that she kept two boxes for herself, and than she took away 24 boxes which will leave us with 60.

Here is the work:

12 (x-2)= 60

12x-24=60

So the answer should be 12x -24 = 60

Hope this helps!

By:xBrainly

Answer:

ST is 5

Step-by-step explanation:

Divide the larger triangle's BC by 3.

Answer: Line

Explanation: Points that lie on the same line are called collinear points.

I'll show you an example.

Below, points E, B, and D are collinear since they lie on the same line.

I have highlighted the line green to see it more clearly.

However, C, B, and D would not be collinear

since they don't all lie on the same line.

Answer:

32 hours and 65 minutes

Step-by-step explanation:

Answer:

The Answer is 33 hours and 5 minutes

Step-by-step explanation:

The reason being that 32.65 is 32 hours and 60 min is an hour so add that to the 32 it's 33hrs and the remaining 5 min

Answer:

AD crosses the scale marked on the vertical line at the value 10. This means that there is 10 feet of available space left between the top of the debris pile and ground level.

Step-by-step explanation:

PLATO

AD crosses the scale marked on the vertical line at the value 10. This means that there is 10 feet of available space left between the top of the debris pile and ground level.

Answer:

-12

Step-by-step explanation:

We just plug in -3 and multiply.

4y

= 4(-3)

= -12

Hope this helped!

Answer:

The first one

Step-by-step explanation:

because all of the sides have the same measurement.

Answer:

Triangle C

Step-by-step explanation:

Triangle A: All sides have length 9 cm.

By SSS this is a unique triangle.

Triangle B: Two sides have length 10 cm, and the included angle measures 60°.

By SAS this is a unique triangle.

Triangle C: Two angles measure 50°.

This gives us at most SS Similarity, so we do not have a unique triangle. The triangle sides can be any length. This is not unique.

Triangle D: Base has length 8 cm, and base angles measure 45°. Which triangle is not a unique triangle?

This gives us ASA, so we have a unique triangle.

Answer: Triangle C