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3 years ago

Multiply the polynomials. (2x^2 + 6x + 6)(3x – 2)

Mathematics

1 answer:

DaniilM [7]3 years ago

6 0

Hey there! :)

Answer:

6x³ + 14x² + 6x - 12.

Step-by-step explanation:

Given:

(2x² + 6x + 6)(3x - 2)

Multiply each term in the first polynomial by both terms in the second:

3x( 2x² + 6x + 6) - 2(2x² + 6x + 6) =

6x³ + 18x² + 18x - 4x² - 12x -12 =

Combine like-terms:

6x³ + 14x² + 6x - 12.

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Triangle TRS is similar to triangle TMN. Angle T = 40°, angle R = 60°, and angle S = 80° . What is the measure of angle M

Andre45 [30]

Answer:

60degrees

Step-by-step explanation:

For similar triangles, the angles of their angles are equal to matter the size.

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2 years ago

Currently, the number of people entering a shopping mall is 109. It is estimated that the number of people entering the shopping

seropon [69]

Answer:

96 people.

Step-by-step explanation:

Exponential equation for a decreasing amount:

The exponential equation for a decreasing amount is given by:

$A(t) = A(0)(1-r)^t$

In which A(0) is the initial rate and r is the decay rate, as a decimal.

Currently, the number of people entering a shopping mall is 109.

This means that $A(0) = 109$

It is estimated that the number of people entering the shopping mall will decrease by 3% each hour.

This means that $r = 0.03$

$A(t) = A(0)(1-r)^t$

$A(t) = 109(1-0.03)^t$

$A(t) = 109(0.97)^t$

Find the total number of people entering the shopping mall at the end of 4 hours.

This is A(4). So

$A(4) = 109(0.97)^4 = 96.49$

Rounding to the nearest whole number, 96 people.

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2 years ago