Ian factored 12x3y3 – 24x2y3 into 6xy(2x2y2 – 4xy2)./1 a. Verify that Ian’s factorization is correct, using multiplication.
Answer:
/1 b. Ian’s factorization is not considered ‘complete’. Explain why.
Answer:
/1 c. Show the complete factorization of 12x3y3 – 24x2y3.
Answer:
PLEASE HELP THANKS , NEED THIS IN TIME

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

Given that Ian factored

12x^3y^3 - 24x^2y^3

as

6xy(2x^2y^2 - 4xy^2).

We find that inside still there are common factors for the two terms.

We can find 2 as common factor and for x, the term x and for y it is y^2

So correct factorisation would be

12x^2y^3(x-2)

Answer 2
Answer: a. 6xy(2x^2y^2-4xy^2)If you need to multiply 6xy and 2x^2y^2 & 6xy and 4xy^2.You will get 12x^3y^3-24x^2y^3.b. Factorization is not complete because 6xy is not the greatest common factor.c. Complete factor: 12x^2y^3(x-2y).

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What is the general solution for (cosX + sinX)(1 - 2sinX)=0

Answers

1. square both sides, a straight forward method. 
2. hand plot 
3. calculator plot, not recommended.Let Y=sin x + cos x -1 
Y=0, find x=? 
4. Substitute 1=sin^2(x) + cos^2(x) on the right hand side 
Y1=sin^2(x) - sin(x) 
Y2=cos^2(x) - cos(x) 
Y1 + Y2=0, Y1=0, Y2=0, 
a(a-1)=0, so, a=0, a=1, where a=sin(x), or cos(x), 
so x=0, pi/2 
Have a good day!

D=150 ft r=20 ft per min. t=?

Answers

t=d/r 
plug in your numbers and divide then you have your answer. 

Given that g(4)=9 and g(-11)=k, find the value of k that would result in a slope of 5 between the two points.

Answers

Answer:

k=-66

Step-by-step explanation:

So we are given two values:

g(4)=9 \text{ and } g(-11)=k

They can be interpreted as: (4,9) and (-11,k).

So, we want to find the value of k such that the slope of the line between the two points would be 5.

Recall the slope formula. It is:

m=(y_2-y_1)/(x_2-x_1)

Let (4,9) be x₁ and y₁ and let (-11,k) be x₂ and y₂. Substitute 5 for m. Therefore:

5=(k-9)/(-11-4)

Simplify the denominator:

5=(k-9)/(-15)

Multiply both sides by -15. The right side cancels:

-15(5)=(-15)(k-9)/(-15)\n -75=k-9

Now, add 9 to both sides. The right side cancels.

(-75)+9=(k-9)+9\nk=-66

Therefore, k is -66.

What is the value of 8C5?

A.56

B.6720

C.960

D.40

Answers

Using, binomial coefficient, the value of 8C5 is 56, which corresponds to option A.

To calculate the value of 8C5 (8 choose 5), we use the binomial coefficient formula:

nCr = n! / (r! * (n - r)!)

where n is the total number of items, r is the number of items chosen.

In this case, n = 8 and r = 5.

8C5 = 8! / (5! * (8 - 5)!)

Now, let's calculate the factorials:

8! = 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 40,320

5! = 5 * 4 * 3 * 2 * 1 = 120

3! = 3 * 2 * 1 = 6

Now, substitute these values back into the formula:

8C5 = 40,320 / (120 * 6)

8C5 = 40,320 / 720

8C5 = 56

Therefore, the value of 8C5 is 56, which corresponds to option A.

To know more about binomial coefficient:

brainly.com/question/34713364


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Answer: The answer would be 56!

Step-by-step explanation:

6x7x8 / 3! =56

Make tables to find the solution to 2^−x = 4^x + 3. Take the integer values of x only between −3 and 3.

Answers

x    2^(-x)    4^(x+3)

-3    8          1

-2    4          4

-1    0        16

0      1        64

1      0.5      256

2      0.25    1024

3      0.125  4096

The solution is x = -2 because both functions return the same value, i.e. 4.

What is the antiderivate to 1/x?

Answers

That's the natural log of 'x'.
I'm pretty sure 1/x = f(x). Could be wrong though, I'm talking about graphs here, so yeah :/