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Nataly_w [17]
2 years ago
15

The functions f(x)=√x^2+12x+36 and g(x)=x^3-12 are defined below. Which expression is equal to f(x) · g(x)? A.x^4-6x^3-12x+72 B.

x^4-12x^3+6x-72 C.x^4+6x^3-12x-72 D. 7x^3-12x-72
Mathematics
1 answer:
Lostsunrise [7]2 years ago
3 0

Answer:

C: x^4+6x^3-12x-72

Step-by-step explanation:

For the function : f(x)=√x^2+12x+36

It can be factorized to

f(x)=√(x+6)²

=x+6

f(x)*g(x)

=(x+6)(x^3-12)

Expand the brackets

=x^4-12x+6x^3-72

rearrange the numbers

x^4+6x^3-12x-72

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Which number is an irrational number
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Answer:

A choice.

Step-by-step explanation:

Irrational number is a number that cannot be written in a fraction form. All square roots are classified as an Irrational number unless can be evaluated to Rational number.

From A choice, you cannot evaluate the square root of 7 into any rational number. Therefore, it is an Irrational number.

B choice, even though there is a square root, but you can still evaluate from square root of 4 to 2.

For C and D, both are integers. Integers are classified to be Rational Number. Therefore, C and D both are rational.

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The initial population of a town is 3600​, and it grows with a doubling time of 10 years. What will the population be in 8 ​year
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8 0
3 years ago
2. Find the area and circumference of the circle to the right.<br>16.6 m<br>​
adoni [48]

Answer:

AREA:

A=216.42m^2

CIRCUMFERENCE:

C=52.15m

Step-by-step explanation:

The formula that is used to calculate the area of a circle is:

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Where "r" is the radius of the circle.

The formula for calculate the circumference of a circle is:

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Where "r" is the radius of the circle.

Then, you need to find the radius. This is:

r=\frac{16.6m}{2}=8.3m

Substituting the radius, you get that the area and the circumference are:

AREA:

A=\pi (8.3m)^2=216.42m^2

CIRCUMFERENCE:

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7 0
3 years ago
Read 2 more answers
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