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iren2701 [21]
4 years ago
15

What is the degree of the function f(x)= x(x+1)2 (2x-3)(x+2)2

Mathematics
1 answer:
Brums [2.3K]4 years ago
5 0

Answer:

6

Step-by-step explanation:

Given equation is f(x)= x(x+1)^2 (2x-3)(x+2)^2.

Now we need to find about what is the degree of the give function.

We know that degree of polynomial function is the highest exponent of the variable (x).

So we can either expand the whole equation or count the degree of each factor then add those to get the degree of the given function.

Second choice will be easier.

Degree of x = 1

Degree of (x+1)^2 = 2

Degree of (2x-3) = 1

Degree of (x+2)^2 = 2

Hence degree of the given polynomial function = 1+2+1+2=6

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Answer:

650-700 meters

Step-by-step explanation:

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Find the midpoint of the line segment with end coordinates of:
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Answer:

The midpoint of this line segment is (-1.5, -4.5).

Step-by-step explanation:

In finding the midpoint of a line segment we are actually averaging the x- and y-coordinates of the endpoints:

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x-coordinate of midpoint = --------- = -3/2 = -1.5

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y-coordinate of midpoint = ---------- = -4.5

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The midpoint of this line segment is (-1.5, -4.5).

5 0
3 years ago
Calculate the factorization 16w^2+48w+36=(4w+[1])^2
stiv31 [10]

Answer:

  [1] = 6

  x = -3/2 is the root

Step-by-step explanation:

A perfect square trinomial is of the form ...

  (a + b)² = a² +2ab +b²

You have ...

  • a²=16w²   ⇒   a = 4w
  • b² = 36   ⇒   b = 6
  • 2ab = 2(4w)(6) = 48w

Then the factorization is ...

  16w² +48w +36 = (4w +6)²

This will be zero when x = -6/4 = -3/2.

3 0
3 years ago
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Answer:

$260

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3 years ago
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Answer:

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Speed is the ratio of distance to time. If the time is the same, the greater distance is associated with the greater speed.

Pia drove farther in 3 hours, so drove faster.

3 0
3 years ago
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