Find the seventh term of ( 3x + 2y )^9

Answers

Answer 1
Answer: Hello,

If we use the Pascal triangle:

1
1|1
1|2|1
1|3|3|1
1|4|6|4|1
1|5|10|10|5|1
1|6|15|20|15|6|1
1|7|21|35|35|21|7|1
1|8|28|56|70|56|28|8|1
1|9|36|84|126|126|126|84|36|9|1
------------------------------XX-------
I support your ask is concerned with descending exponients

The answser is 84*(3x)^3*(9^6)=1205308188 x^3



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What is 17/100 into a decimal

1. 360 miles in 6 hours​

Answers

Answer:

60mph

Step-by-step explanation:

What is the area of the triangle bounded by the line 3x+2y=12 and the x- and y- axes?

Answers

Answer:

12

Step-by-step explanation:

If x=0, then the y axis is 6

If y=0, then the x axis is 4

The base is 4 and the height is 6

4 x 6 / 2 = 12

Which expression is equivalent to 15a^9b^4 over 5a^5b?Assume the denominator does not equal 0.

A. 10a^4b^3
B. 3a^4b^4
C. 10a^4b^4
D. 3a^4b^3

Answers

If you would like to solve 15a^9b^4 / 5a^5b, you can calculate this using the following steps:

15a^9b^4 / 5a^5b = 3a^(9-5)b^(4-1) = 3a^4b^3

The correct result would be D. 3a^4b^3.

Rewrite the following quadratic functions in intercept or factored form. Show your work.f(x) = 3x^2 - 12

Answers

Answer:

f(x) = 3(x+2)(x-2)

Step-by-step explanation:

We are given the following the quadratic function and we are to rewrite it in intercept or factored form:

f(x) = 3x^2 - 12

We can factorize the given function so taking the common factors out of it to get:

f(x)=3x^2 - 12

f(x) = 3 (x^2 - 4)

The term (x^2-4) is in the form a^2-b^2 so it can further be factorized to give:

f(x) = 3 (x+2)(x-2)

Therefore, the factored form of the given quadratic function is f(x) = 3(x+2)(x-2).


Answer:

3(x-2)(x+2)

Step-by-step explanation:

Given equation is :

f(x) = 3x²-12

We have to rewrite the given function in factored or intercept form.

Since, we know that 3 and 12 are multiples of 3.

taking 3 as common , we get

f(x) = 3(x²-4)

using differernce formula in above equation , we get

a²-b² = (a-b)(a+b)

f(x) = 3(x-2)(x+2)

Hence, the given factors are 3,(x-2) and (x+2).

Brian claims that he can eat a pie that is divided into six equal pieces In two minutes.If he can eat the whole pie in two minutes, how long does he have to eat each piece

Answers

Answer:

He have to eat each piece in  (1)/(3) \ minute.

Step-by-step explanation:

Given:

Brian claims that he can eat a pie that is divided into six equal pieces In two minutes.

If he can eat the whole pie in two minutes.

Now, to find the time he have to eat for each piece.

So, to solve by using unitary method:

If Brian can eat 6 pieces in = 2 minutes.

Then, he can eat 1 piece in = (2)/(6)=(1)/(3) \ minute.

Therefore, he have to eat each piece in (1)/(3) \ minute.

hey sales person sells $2900 and merchandise and earns a commission of 522 what is the commission rate?

Answers

Answer: 18%

Step-by-step explanation: To find the commission rate, we can divide the commission earned by the total merchandise sold.

Given:

Total merchandise sold = $2900

Commission earned = $522

To calculate the commission rate:

Commission rate = (Commission earned / Total merchandise sold) * 100%

Substituting the given values into the formula:

Commission rate = (522 / 2900) * 100%

Calculating the commission rate:

Commission rate = 0.18 * 100% = 18%

Therefore, the commission rate for this salesperson is 18%.