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Katen [24]
2 years ago
9

A, b, and c are polynomials, where a = n, b = 2n 6, and c = n2 – 1. what is ab – c in simplest form? –n2 3n 5 n2 6n 1 2n2 6n – 1

3n2 5
Mathematics
1 answer:
Elena L [17]2 years ago
8 0

The equations a = n, b = 2n + 6 and c = n² - 1 are polynomials, and the expression for ab - c is n² + 6n + 1

<h3>How to determine the expression for ab - c?</h3>

The polynomials are given as:

a = n

b = 2n + 6

c = n² - 1

The expression ab - c is calculated using:

ab - c = n * (2n + 6) - (n² - 1)

Expand

ab - c = 2n² + 6n - n² + 1

Collect like terms

ab - c = 2n² - n² + 6n  + 1

Evaluate

ab - c = n² + 6n + 1

Hence, the expression for ab - c is n² + 6n + 1

Read more about polynomials at:

brainly.com/question/4142886

#SPJ4

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EXERC
eimsori [14]

Answer:551.3212cm³

Step-by-step explanation:

Find the image attached

The volume is made up of a cone, cylinder and a hemisphere

Volume of the shape = Volume of cone + volume of cylinder + volume of hemisphere

Get the volume of the cone;

Volume of a cone Vc = 1/3πr²h

r is the base radius = 3.5cm

Height = 10cm

Vc = 1/3π(3.5)²(6)

Vc = 1/3π(12.25)(6)

Vc = 12.25 * 2π

Vc = 24.5π cm³

Get the volume of the cylinder;

Vcy = πr²h

r = 3.5cm

h = 10cm

Vcy = π(3.5)²(10)

Vcy = π(12.25)(10)

Vcy = π(122.5)

Vcy = 122.5π cm³

Get rhe volume of the hemisphere;

Volume of hemisphere = 2/3 πr³

r = 3.5cm

Vh =  2/3 π(3.5)³

Vh = 2/3π(42.875)

Vh = 28.58π cm³

Volume of the shape = VC + Vcy + Vh

Volume of the shape = 24.5π+122.5π+28.58π

Volume of the shape = 175.58π

<em>Volume of the shape = 551.3212cm³</em>

7 0
3 years ago
What are the next four multiples of the fraction 7/12
Vladimir79 [104]
7/12 14/24 21/36 28/48 35/60
7 0
3 years ago
Read 2 more answers
Carly left for school at 8:15.she left school at 2:45.if she arrived at 8:45,how many hours was she in the school
Ne4ueva [31]
She was in school for 6 hours.
3 0
2 years ago
Kelly purchased 5 containers of ice cream for a party. Each container holds 8 cups of ice cream. Before the party, her brother a
victus00 [196]

Given:

Kelly purchased 5 containers of ice cream for a party.

Each container holds 8 cups of ice cream.

Her brother ate 2 cups of ice cream.

One serving of ice cream = 2/3 of a cup.

To find:

Number of servings of ice cream will be left for the party?

Solution:

We have,

1 container = 8 cups of ice cream

5 containers = 5×8 = 40 cups of ice cream

Her brother ate 2 cups of ice cream. So, remaining cups of ice cream is

40-2=38 cups

Now,

\dfrac{2}{3} of a cup = 1 serving

1 cup = \dfrac{3}{2} serving

38 cup = 38\times \dfrac{3}{2} serving

            = 19\times 3 serving

            = 57 serving

Therefore, 57 servings of ice cream will be left for the party.

4 0
3 years ago
Find the domain of the function f (x) = 2/x-4 + 1/x+2
Andreas93 [3]

As written, the denominator in both fractions is x, so the only restriction on the domain is ... x ≠ 0.

_____

We suspect you intend ...

... f(x) = 2/(x-4) +1/(x+2)

which is undefined when x = 4 or x = -2.

The domain is all real numbers except -2 and 4.

6 0
3 years ago
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