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ehidna [41]
3 years ago
14

Which of the following is the correct factorization of the polynomial below? x3 + 14x2 + 49x

Mathematics
2 answers:
Naddika [18.5K]3 years ago
7 0

For this case we must factor the following polynomial:

x ^ 3 + 14x ^ 2 + 49x\\

We can take common factor x:

x(x ^ 2+ 14x + 49)

To factor the expression within the parenthesis, we must find two numbers that when multiplied give 49 and when added together, 14 are obtained. These are: 7 and 7.

7*7=49,7+7=14

Thus, the expression is factored as:

x(x + 7)(x +7)

Answer:

x (x + 7) ^ 2

loris [4]3 years ago
4 0

The answer is x(x+7)^2

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The area of a rectangle is 5/8 meter. The length of the garden is 1/5 meter. What is the width of the rectangle?
Afina-wow [57]

Width of rectangle is Width=\frac{25}{8} meters

Step-by-step explanation:

Area of rectangle = \frac{5}{8}

Length of garden = \frac{1}{5}

Width of rectangle = ?

Using the Formula:

Area = Length * Width

Putting values and finding width:

\frac{5}{8}=\frac{1}{5}*Width\\ Width=\frac{5}{8}\div\frac{1}{5}\\Width=\frac{5}{8}*\frac{5}{1}\\Width=\frac{25}{8} meters

So, width of rectangle is Width=\frac{25}{8} meters

Keywords: Area of rectangle

Learn more about Area of rectangle at:

  • brainly.com/question/12919591
  • brainly.com/question/6837543
  • brainly.com/question/6564657

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8 0
2 years ago
If f(x) = x^2-1 which of the following ordered pairs would be on the graph of f(x)
Alex Ar [27]

These following ordered pairs are on the graph:

  • (0,1)
  • (5, 24)
  • (-2,3)

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

An ordered pair (x, f(x)) will be on the graph if replacing them into the equation, we get an equivalence.

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

The equation is:

f(x) = x^2 - 1

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

(0,1)

Here, we test x = 0, f(x) = 1

Replacing into the equation:

1 = 0^2 - 1

1 = -1

False, so not on the graph.

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

(0,1)

Here, we test x = 1, f(x) = 0

Replacing into the equation:

0 = 1^2 - 1

0 = 0

True, so on the graph.

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

(3,5)

Here, we test x = 3, f(x) = 5

Replacing into the equation:

5 = 3^2 - 1

5 = 8

False, so not on the graph.

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

(5,24)

Here, we test x = 5, f(x) = 24

Replacing into the equation:

24 = 5^2 - 1

24 = 24

True, so on the graph.

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

(-2,3)

Here, we test x = -2, f(x) = 3

Replacing into the equation:

3 = (-2)^2 - 1

3 = 3

True, so on the graph.

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

(-4,-17)

Here, we test x = -4, f(x) = -17

Replacing into the equation:

-17 = (-4)^2 - 1

-17 = 15

False, so not on the graph.

A similar question is given at brainly.com/question/2102317

6 0
3 years ago
There are 9 computers and 72 students. What is the unit rate of students to computers? A) 1 computer 8 students B) 8 students 1
bixtya [17]

Answer:

72/9 = 8

Answer is b

8 students to 1 computer

4 0
3 years ago
Statement<br> Is this statement True or False?<br> Children have lower MHR values than adults.
labwork [276]
False, children have higher heart rates than adults because their heart is smaller, and has less blood to pump through the body.
3 0
3 years ago
2 - 20
Damm [24]

Answer:

The answer is 15=15

Step-by-step explanation:

go to math

way, which is a website

and put your question in and the answer waill come to you!

4 0
3 years ago
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