What is the product of 3a 5 and 2a2 4a – 2? 6a3 22a2 14a – 10 6a3 22a2 26a –10 18a3 10a2 14a – 10 28a3 14a – 10

Answers

Answer 1
Answer:

The product of  3a + 5 and 2a2 + 4a – 2 is \rm 6a^3+22a^2+14a-10\n, the correctoption is A.

What is the product of two algebraic expressions?

When two algebraic expressions are multiplied, the result is called the product, and the two expressions making up the product are called factors and multiplicands.

The multiplication of two algebraic equations can be expressed as a × b.

The product of 3a + 5 and 2a2 + 4a – 2 is determined in the following steps given below.

\rm =(3a + 5) *( 2a^2 + 4a -2)\n\n= 3a ( 2a^2 + 4a -2) +5( 2a^2 + 4a -2)\n\n =6a^3+12a^2-6a+10a^2+20a-10\n\n=6a^3+22a^2+14a-10\n

Hence, the product of  3a + 5 and 2a2 + 4a – 2 is \rm 6a^3+22a^2+14a-10\n.

To know more about multiplication click the link given below.

brainly.com/question/14059007

Answer 2
Answer:

Answer:

6a3 + 22a2 + 14a - 10

Step-by-step explanation:

(3a + 5) x (2a^2 + 4a - 2)

= 3a(2a^2 + 4a - 2) + 5(2a^2 + 4a - 2)

= 6a^3 + 12a^2 - 6a + 10a^2 + 20a - 10

= 6a^3 + 22a^2 + 14a - 10


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Two number have a sum of 71 and a difference of 37

Answers

The right answer for the question that is being asked and shown above is that:

Two numbers have a sum of 71 and a difference of 37
x + y = 71
x - y = 37

So in order to get the two numbers, here it is:
x + y = 71
x - y = 37
------------
2x = 108
x = 54
y = 71 - 54
y = 17

So the two numbers are 54 and 17
17+54=71 and have a difference of 37.

Factor completely. b2 + 12b + 32
Factor completely: a2 - a - 20

Answers

Factoring the first polynomial expression completely will give us (b+4)(b+8). Try to check it for yourself by multiplying the factors and you will get b2+12b+32. For the second polynomial expression, the factors are (a-5)(a+4). To check, just do the FOIL method and you will get a2-a-20.

Answer:

b² + 12b + 32 = (b + 8)(b + 4)

a² - a - 20 = (a - 5)(a + 4)

Step-by-step explanation:

b² + 12b + 32

To factor, let's find two numbers that multiply to 32, and add to 12.

I find the two numbers as 4 and 8.

We can expand 12b as 4b + 8b, and factor the pairs.

Factor:

  • b² + 12b + 32
  • b² + 4b + 8b + 32
  • (b² + 4b) + (8b + 32)
  • b(b + 4) + 8(b + 4)
  • (b + 8)(b + 4)

The factored form is (b + 8)(b + 4)

a² - a - 20

Using the same process, find two numbers that multiply to -20 and add to -1

The numbers are 4 and -5

Factor:

  • a² - a - 20
  • a² + 4a - 5a - 20
  • (a² + 4a) + (-5a - 20)
  • a(a + 4) -5(a + 4)
  • (a - 5)(a + 4)

The factored form is (a - 5)(a + 4)

Type the least common multiple of 4 and 6.

Answers

The least common multiple of 4 and 6 is 12.

Every math Christian receiving a subscription fee of $10 from each of the subscribers to her website last month the website had a 100 subscribers this month during your members join the website and 10 members canceled for fiction how much money were Christians on my business or in this month

Answers

Answer:

$900 was the profit made for the month

Step-by-step explanation:

in this question, we are simply asked to calculate the amount of money a website made the owner if there is a certain number of subscriptions that month and a certain number of cancellations by old subscribers too.

From the question, we can see that 100 subscribers paid for subscription with 10 members canceling.

$10 is the subscription fee, the total amount made by the subscriptions is thus 10 * 100 = $1,000

in opposite light, there were 10 cancellations, the amount lost due to these would be 10 * 10 = $100

The profit made by the website would thus be ;

$1000 - $100 = $900

Below are five number sequences. Which ones are geometric sequences?Check all that apply.A- 1 2 3 4 53 9 27 81 343B. 2, 3, 5, 9, 17,C. 3, -12, 48, -192, 768,D. 3, -15, -33, -51, -69,E., 1 1 1 1

Answers

Geometric sequence is a sequence of values where the next term is the product of the previous term multiplied by a fixed amount called common ratio.

Among the choices, I find 2 that are geometric sequences.

C. 3, -12, 48, -192, 768  common ratio is -4

E. 1, 1/2, 1/4, 1/8,1/16 common ratio is 1/2


Z^5=-7776iFind the solution of the following equation whose argument is strictly between 270 and 360 degrees

Answers

Answer:

Z=+6

Step-by-step explanation:

Z^5=-7776i

Let's note that i I mathematics means negative one i.e

i = -1

So the equation is equal to

Z^5=-*-(7776)

Z^5 = 7776

Z= 5√7776

Since it's a divisible by 6

It's giving us a clue that 6 it's the answer.

Ok let's check the 5th root of 7776 in our calculator.

Z=+6

+6 is the solution to the equation

Z^5=-7776i