The model represents x2 â€" 9x 14. An algebra tile configuration showing only the Product spot. 24 tiles are in the Product spot: 1 is labeled x squared, 9 are labeled negative x, and 14 are labeled. Which is a factor of x2 â€" 9x 14? x â€" 9 x â€" 2 x 5 x 7.

Answers

Answer 1

The factors of the given model are (x+2) and (x+7)

Given the representation of the model expressed as;

[tex]x^2+9x+14[/tex]

To get the factors, we will factorize the given quadratic function as shown:

[tex]g(x) = x^2+2x+7x+14[/tex]

Group the functions to have;

[tex]g(x) = (x^2+2x) + (7x+14)\\[/tex]

Factor out the GCF from both parenthesis:

[tex]g(x) = x(x+2)+7(x+2)\\g(x)=(x+2)(x+7)[/tex]

Hence the factors of the given model are (x+2) and (x+7)

Learn more on factorization here: https://brainly.com/question/25829061


Related Questions

Order the following numbers from least to greatest:
1/5/100 5% 0.0005 50/100 50 5/1000 500%

Answers

Answer:

0.0005, 1/5/100, 5/1000, 5%, 50/100, 50, 500%

Step-by-step explanation:

You can convert all the percentages and fractions into decimals for better comprehension.

0.0005

1/5/100 = 0.002

5/1000 = 0.005

5% = 0.05

50/100 = 0.5

50

500% = 500

Answer:

0.0005, 1/5/100, 5/1000, 5%, 50/100, 50, 500%

Step-by-step explanation:

convert 3 3/4 into a improper fraction

Answers

Answer:

3 3/4 = 15/4

Step-by-step explanation:

To turn a mixed number into an improper fraction, multiply the whole number with the denominator of the proper fraction. Add the numerator of the proper fraction to this product to obtain the numerator of the improper fraction.

Hoped this helped.

Read aloude The price of a cell phone was reduced from $450 to $225. By what percentage was the price of the cell phone reduced? ​

Answers

Answer:

50% 250x2=450

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

$225 x 2 = 450

this means the cell phones price was reduced by 50%

glad to help ;)

my Christmas present to you​

Answers

Answer:

THX santa

Step-by-step explanation:

If ABC is right-angled at B , AB = 3 cm. , BC = 4 cm. , then the length of the median from B is​

Answers

Therefore, the length of the median from B is 5/2 cm.

Graph: y = 3 * x + 5 ​

Answers

Answer:

2

Step-by-step explanation:

take the 3 put on the side

Is it a expression 3x - 7

Answers

Answer:

It’s an expression.

Step-by-step explanation:

An expression is technically an equation but without the answer.

Answer:

yes

Step-by-step explanation:

The difference between an equation and an expression is that an equation as an equals sign. An equation shows that 2 expressions are equal to each other.

Expression:

[tex]3x-7[/tex]

Equation:

[tex]3x-7=5y[/tex]

what is -150 + -12 =?

Answers

Answer:

-162

Step-by-step explanation:

Answer:

your answer is -162

Step-by-step explanation:

if you owe someone 150 dollars and then you owe them another 12 dollars you'll owe them a total of 162 dollars. Your losing 162 dollars which is -162 form the amount that you have

2) If it is 12° outside and the temperature is going to -7° drop 19º. What will the new temperature be? ​

Answers

Answer:

69 degrees

Step-by-step explanation:

yeah

Can someone please help me with this question

Answers

m11=54°

m8=117°

m7=63°

Step-by-step explanation:

a) m2=m12 (corresponding angles)

m12=126°

180=m12+m11 (supplementary angles equal 180)

180=126+m11

m11=54°

b) m14=m8. (corresponding angles)

m8=117°

C) m7=180-m8 (supplementary angles equal 180)

m7=180-117

m7=63°

Will mark brainliest if you help me pleaseeee

Answers

[tex]a(n) = {n}^{2} + 3[/tex]

Answer:

nth term is equal to n²+3

Question 6 of 12
✓ 49
A. 8
O O
B. 14
C. 7
SUBMIT

Answers

Answer:

C. 7

Step-by-step explanation:

7 · 7 = 49

I hope this helps!

Solve for x when 4x+16/12=x-4

Answers

Answer:

In short, Your Answer would be either 1 or 7

Step-by-step explanation:

|4x + 12| = 16

As it is in modulus function, it could be either +ve or -ve

4x+12 = 16   OR   4x - 12 = 16

4x = 16-12    OR   4x = 16 + 12

4x = 4           OR   4x = 28

x = 4/4     OR  x = 28/4

An item is regularly priced at $70. It is on sale for 20% off the regular price. How much (in dollars) is discounted from the regular price?
Amount discounted:?

Answers

Answer:

$14 discount$56 discounted price

Step-by-step explanation:

The amount of the discount is ...

  20% of $70 = 0.20·$70 = $14 . . . discount

The discounted amount is ...

  $70 -14 = $56 . . . discounted price

In a hypothetical economy, current inflation-adjusted economic output is rising and is expected to continue rising in the coming months. This economy is currently in the___

peak stage of the business cycle

trough stage of the business cycle

contraction stage of the business cycle

expansion stage of the business cycle

Answers

The economic output is rising and is expected to continue rising in the coming months, the economy is currently in the expansion stage of the business cycle.

The business cycle consists of the following stages which changes with time;

Expansion stage: continuous rise in economic output.Peak stage: maximum economic output.Contraction (recession) stage: a continuous decline in economic output.Trough stage: the point of lowest economic output.

Thus, when the economic output is rising and is expected to continue rising in the coming months, the economy is currently in the expansion stage of the business cycle.

Learn more about business cycle here: https://brainly.com/question/904465

How is the key event in this paragraph illustrated?

Answers

I think C because it dose seem to be showing sometime of an historical event. But of course I could be wrong.

you are going to wash a large glass window in a shape of a trapezoid. The lenghts of the bases of the window are 10 feet and 14 feet. the height is 8 feet. you can wash 6 square feet of the window in 1 minute. how long will it take you to wash the entire window

Answers

Answer:

16 minutes

Step-by-step explanation:

First we are going to want to find the area of the window. We then divide that by the amount of area you can wash per minute ( 6 square feet )

So first lets find the area.

We are told that the window is in a shape of a trapezoid.

The area of a trapezoid can be calculated using the formula A = [tex]\frac{a+b}{2} h[/tex]

Where a and b are the base lengths and h is the height

We are told that the length of the bases are 10 ft and 14ft so a and b = 10 and 14. We are also told that the window has a height of 8 so h = 8 .

We then plug these numbers into the formula to find the area

Recall formula: [tex]A=\frac{a+b}{2} h[/tex]

a = 10 , b = 14 and h = 8

plug in these values into formula

[tex]A=\frac{10+14}{2} 8[/tex]

add 10 and 14 to get 24

[tex]A=\frac{24}{2} 8[/tex]

simplify fraction : 24 / 2 = 12

[tex]A=(12)(8)[/tex]

multiply 12 and 8 to get 96.

A = 96 square feet.

To find how long it would take to wash the window we divide the total area of the window by the amount of area that can be washed per minute

Total area of window = 96

Area that can be washed per minute = 6

Time it would take to wash the whole window = 96 / 6 = 16 minutes

What is another way to write the calculation add 16 and 25, and then multiply by 47?

Answers

Answer:

(16+25)×47

Step-by-step explanation:

..........

simple.
(16+25)x47 , theree you go

A truck is 2000 kg and has a cargo load of 1000 kg. Its speed is 50 km/h. The momentum for the truck and cargo is

Answers

Answer:

The momentum for the truck and cargo is 150000 kg·km/h

Step-by-step explanation:

p = mv

p = (2000 kg + 1000 kg)(50 km/h)

p = (3000 kg)(50 km/h)

p = 150000 kg·km/h

What would make this conditional a false statement? If you go to the gym for an hour a week, then you will lose at least 10 pounds in a month.

You go to the gym for an hour a week and lose 10 pounds in a month
You go to the gym for an hour a week and lose 17 pounds in a month
You go to the gym for an hour a week and lose 7 pounds in a month
You go to the gym for an hour a week and lose 50 pounds in a month

Answers

We must see which thing would make the conditional statement a false statement. We will see that the correct option is:

"You go to the gym for an hour a week and lose 7 pounds in a month"

So we start with the conditional statement:

"If you go to the gym for an hour a week, then you will lose at least 10 pounds in a month"

Remember that the general conditional statement is:

If P, then Q.

Where P is the hypothesis and Q is the conclusion.

The conditional statement is false if:

P is true and Q false.

So the given statement is only false if you meet the hypothesis (you go to the gym for an hour a week) but not the conclusion (you lose less than 10 pounds in a month).

With that in mind, the correct option is the third one, the only one where you lose less than 10 pounds in a month.

"You go to the gym for an hour a week and lose 7 pounds in a month"

If you want to learn more about conditional statements, you can read:

https://brainly.com/question/10714086

Foundations in Algebra: Probability Assignment
1. Andrew claims:
A spinner has 4 sections -
red, yellow, green, and blue.
The probability of getting the
red section is 0.25.
Is he correct? Explain your answer fully:
I

Answers

Answer:

yes a 1/4 probability is 0.25

Leon has to drive 36 miles to work. If he can average a speed of 48 miles per hour, about how long does it take him to get to work each day? (Hint: Use the formula d = rt.)

1. a quarter of an hour
2. three-fourths of an hour
3. half an hour
4. more than an hour

Answers

Answer:

i think the answer is 45 mins sorry if im wrong

Solve the equation below by completing the square. Circle the number that is added to both sides. x2 - 10x = -18 ​

Answers

Answer:

x = ±[tex]\sqrt{7}[/tex] - 5

Step-by-step explanation:

x^2 - 10x = -18

x^2 - 10x + 18 = 0

(x + 5)^2 - 5^2 + 18 = 0

(x + 5)^2 - 7 = 0

(x + 5)^2  = 7

[tex]\sqrt{(x + 5)^2}[/tex] [tex]=[/tex] ±[tex]\sqrt{7}[/tex]

x = ±[tex]\sqrt{7}[/tex] - 5


If Jenny can read 7 books in 8 days, exactly how many days would it take her to read 20 books?

Answers

Answer:

23 days

Step-by-step explanation:

Given,

No. of days taken by Jenny to read 7 books

= 8

So,

No. of days taken by her to read 1 book

[tex] = \frac{8}{7} [/tex]

Therefore,

No. of days taken by her to read 20 books

[tex] = \frac{8}{7} × 20 [/tex]

[On Simplification]

[tex] = \frac{160}{7} [/tex]

[On dividing]

= 22.85.....

[On approximating]

= 23 days (approx. )

Hence,

Jenny will take 23 days to read 20 books (Ans)

Question:-

If Jenny can read 7 books in 8 days, exactly how many days would it take her to read 20 books?

Answer:-

22.85714 or 23 days

Explanation:-

[tex]GIVEN,[/tex]

Number of books Jenny can read in 8 days = 7

[tex]NOW,[/tex]

Number of days taken by Jenny to read 1 book = [tex] \frac{8}{7} [/tex]

Number of days taken by her to read 20 books =

→ [tex]20 \times \frac{8}{7} [/tex]

→ [tex] \frac{160}{7} [/tex]

22.85714 or 23 days

Someone plz help ToT

Answers

The scale factor is 1.5 because:

9 x 1.5 = 13.5

5 x 1.5 = 7.5

1) The length of a rectangle is 5 feet more than 3 times its width. If the area is 182
square feet, find the length of the rectangle. If necessary, round to the tenths
place.

Answers

Answer:

answer is attached on the photo

HOPE I MADE YOU SMILE!!

Answers

Answer:

ok points

Step-by-step explanation:

Answer:

Thank You so much.....You made me smile lol :D

It takes violet 3/5 hour to paint a chair. How much of the chair will be finished after 1/3 hour? Plz answer this plzzzzz!!

Answers

The anwser is c your welcome

This recipe makes 6 pancakes. Sanjay follows the recipe but wants to make 30 pancakes. How much of each ingredient does he need? Recipe: Makes 6 135 g flour 1 teaspoon (tsp) baking powder 2 tablespoons (tbsps) sugar 130 ml milk 1 egg 2 tablespoons (tbsps) oil

Answers

Answer:

30 pancakes/6 pancakes = 5, so Sanjay needs to multiply the recipe by 5 (make batches of 6 pancakes 5 times for 30 pancakes in total)

flour: 135g*5=675g

baking powder: 1 tsp*5=5 teaspoons

sugar: 2 tbsps*5=10 tablespoons

milk: 130ml*5=650ml

eggs: 1 egg*5=5 eggs

oil: 2 tbsps*5=10 tablespoons

Question 3
Which table represents a linear function?

Answers

Answer:

Top right

Step-by-step explanation:

The change in y must be constant. 11-13 = 2, 11-9 = 2, 9-7 = 2

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