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Pachacha [2.7K]
2 years ago
12

Hank’s teacher asked him to verify that the product (y−3)(y2 3y 9) is a difference of cubes. He used the distributive property t

o multiply the binomial times the trinomial. Before simplifying, his product was a polynomial of the form y3 3y2 ay−3y2−ay−27. What is the value of a in the polynomial? 3 9 18 27.
Mathematics
1 answer:
kramer2 years ago
6 0

The value of a is 9, the correct option is B.

Given

Hank’s teacher asked him to verify that the product (y−3)(y2+3y+9), is a difference of cubes.

<h3>Quadratic equation;</h3>

The equation which has the highest degree is 2 is called quadratic equation;

\rm ax^2+bx+c=0

Where a, b, and c are the constants.

The given polynomial is;

\rm  (y-3)(y^2+3y+9)

On multiplying the terms;

\rm  (y-3)(y^2+3y+9)\\\\y(y^2+3y+9)-3(y^2+3y+9)\\\\y^3+3y^2+9y-3y^2-9y-27\\\\

On comparing;

\rm ay = 9y\\\\a=9

Hence, the value of a is 9.

To know more about polynomial click the link is given below.

brainly.com/question/6169816

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How many three digit numbers have digits whose sum is greater than 2?
LenaWriter [7]

Answer:

896

Step-by-step explanation:

Let's talk first about how many 3 digit numbers there are. The first 3 digit number is 100 and the last is 999. So there are 999-100+1 numbers that are 3 digits long. That simplifies to 900.

Now let's find how many of those have a sum for the digits being 1, then 2 ? Then take that sum away from the 900 to see how many 3 digit numbers have the sum of their digits being more than 2.

3 digit numbers with sum of 1:

The first and only number is 100 since 1+0+0=1.

We can't include 010 or 001 because these aren't really three digits long.

3 digit numbers with sum of 2:

The first number is 101 since 1+0+1=2.

The second number is 110 since 1+1+0=2.

The third number is 200 since 2+0+0=2.

That's the last of those. We could only use 0,1, and 2 here.... Anything with a 3 in it would give us something larger than or equal to 3.

So there are 900-1-3 numbers who are 3 digits long and whose sum of digits is greater than 2.

This answer simplifies to 896.

3 0
3 years ago
Read 2 more answers
Find the product or quotient. Express using positive exponents
Alex73 [517]

Answer:

c

Step-by-step explanation:

x^{-6}*x^{-5}=x^{(-6)+(-5)}=x^{-11}=\frac{1}{x^{11}}

x^{a}*x^{b}=x^{a+b}\\\\x^{-a}=\frac{1}{x^{a}}

6 0
3 years ago
Solve for x<br><br> x-4<br> — = 5<br> y+2
yulyashka [42]

I think the question is wrong!

It must be

x-4

___= 5

x+2

Answer: x - 4= 5x + 10

or,-10 -4 = 5x - x

or, -14=4x

or,-14/4= x

Therefore, x = -14/4

5 0
3 years ago
Can somebody help me &amp; explain ​
Ganezh [65]

Answer:

Step-by-step explanation:

D because it shows that 1x1/3 is shown on # D

5 0
3 years ago
Please, can somebody help me, thanks!
mario62 [17]
#2 #3 and #5 I think but I could be wrong. Good luck!
8 0
3 years ago
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