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morpeh [17]
3 years ago
12

What is the product of (3a + 2)(4a? - 2a + 9)?

Mathematics
1 answer:
yan [13]3 years ago
4 0

Answer:

The answer is 12a^3+2a²+23a+18 ....

Step-by-step explanation:

The given terms are:

(3a + 2)(4a² - 2a + 9)

Now multiply each value of second bracket with the first bracket:

=4a²(3a+2) -2a(3a+2)+9(3a+2)

=12a^3+8a²-6a²-4a+27a+18

Solve the like terms:

=12a^3+2a²+23a+18

Therefore the answer is 12a^3+2a²+23a+18 ....

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Which best describes the solution set for the inequality below?
swat32

3x + 7 <_ 4x -8

Subtract 3x from both sides.

3x - 3x = 0x

4x - 3x = 1x (or just x)

7 <_ x -8

Add 8 to both sides.

7 + 8 = 15

-8 + 8 = 0

x _> 15 is the solution for the first inequality.

Although A.) is the only one with x_>15, let's continue to ensure our answer.

-2x + 3 _> 1

Subtract 3 from both sides.

3 - 3 = 0

1 - 3 = -2

-2x _> -2

Divide both sides by -2 to solve for x.

-2x / -2 = x

-2 / -2 = 1

Remember to flip the inequality when dividing or multiplying by a negative.

x <_ 1 is our other inequality.

Our answers are:

x_> 15 and x<_1

8 0
3 years ago
Divide (–15x5 – 16x4 + 84x3 – 17x2 – 9x – 15) by (x – 8/5) using synthetic division.
xz_007 [3.2K]
Synthetic division work with the coefficient of the given polynomial expression

We have 
-15    -16   84   -17   -9   -15

and the divisor is:
x - ⁸/₅ = 0
x = ⁸/₅

Refer to the diagram below for the steps of synthetic division

Start by multiplying the first coefficient by the divisor, write the answer under the second coefficient, and then add the two values.

Repeat the steps until we use up all the remaining coefficients

The final values are the coefficients of the quotient and the last value is the reminder


6 0
3 years ago
Between 1965 and 1980, the world population grew at an annual rate of 2%. Using the rule of 72, population is expected to double
Fiesta28 [93]

Answer:

The population is expected to double in 36 years

Step-by-step explanation:

According to the the rule of 72,

A value is doubled if the product of the annual rate and number of years is 72,

Given,

The annual rate of interest = 2%

Let x be the time in years after 1965,

By the above statement,

The population will double if,

x × 2 = 72 ⇒ x = 36

Hence, the after 36 years since 1965 the population will be doubled,

i.e in 2001.   ( ∵ 36 years after 1965 )

4 0
3 years ago
Hey, do you mind helping me?<br><br><br> what are the roots of x in -10x + 12x - 9 = 0?
Alex73 [517]

Answer:

x=−6±3√5

Step-by-step explanation:

3 0
4 years ago
A length is measured at 21 cm correct to two significant figures, what is the lower bound of the length and upper bound?
Andreyy89

Answer:

20.5 and 21.5

Step-by-step explanation:

It says 2 significant figures so the least it can possibly be is 0.5 less and the most it can be is 0.5 more as if it was, lets say 20.4 it would round down to 20 not 21.

7 0
2 years ago
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