MATHEMATICS HIGH SCHOOL

1) What is the GCF for the polynomial 4x3 - 2x2y?2) What is the GCF for the polynomial 8x4y + 6x2y2?

3) What is the GCF for the polynomial 12x3y2 - 20x5y3?

4) What is the GCF for the polynomial -10x3y4 - 16x5y2?

Answers

Answer 1

Answer:

(1)the GCF for the polynomial $4x^3 - 2x^2y$

4x^3 = 2*2* x* x* x

2x^2y = 2*x*x*y

Greatest common factor is $2*x*x = 2x^2$

(2) the GCF for the polynomial $8x^4y + 6x^2y^2$

$8x^4y = 2*2*2*x*x*x*x*y$

$6x^2y^2 = 3*2*x*x*y*y$

GCF is $2*x*x*y=2x^2y$

(3) the GCF for the polynomial $12x^3y^2 - 20x^5y^3$

$12x^3y^2 = 2*2*3*x*x*x*y*y$

$20x^5y^3=5*2*2*x*x*x*x*x*y*y*y$

GCF is $2*2*x*x*x*y*y= 4x^3y^2$

(4) the GCF for the polynomial $-10x^3y^4 - 16x^5y^2$

$-10x^3y^4 =-2*5*x*x*x*y*y*y*y$

$-16x^5y^2=-2*2*2*2*x*x*x*x*x*y*y$

GCF is $-2*x*x*x*y*y= -2x^3y^2$

Answer 2

Answer:

Answer:

1. 2x2

2. 2x2y

3. 4x3y2

4. -2x3y2

Step-by-step explanation:

1. 4x3 - 2x2y= GCF: 2x2

2. 8x4y + 6x2y2= GCF: 2x2y

3. 12x3y2 - 20x5y3= GCF: 4x3y2

4. -10x3y4 - 16x5y2= GCF: -2x3y2

Related Questions

4(4x + 3) + 6(2 - x) - 3(2x - 1) = 19
Is it possible for an x-intercept and a y-intercept to have no intercept
Please solve and show work
What is the equation for the line that passes through (1, 1) and has a slope equal to 4?a. y = 4x – 3 b. y = 4x + 3 c. y = 3x + 4 d. y = 3x – 4 Which line is parallel to 2x + 4y = 6? a. 4x + 6y = 8 b. 3x + 6y = –7 c. 4x + 2y = –6 d. 6x + 3y = 5
What is 8.170 in word form

Helpppp i’ll give that crown thing

Answers

Answer:

N K Q

Step-by-step explanation:

Use the distributive property to expand this equation please2/3 (18x + 6z)

Answers

Answer:

12x + 4z

Step-by-step explanation:

Given: 2/3 (18x + 6z)

Multiply the fraction 2/3 into each term

( $(2)/(3)$ )*18x + ( $(2)/(3)$ )*6z

$(36)/(3)$ x + $(12)/(3)$ z

12x + 4z

3. We will now study probability distributions that can be obtained from the data. (a) (3 points) Let the random variable X be defined as follows: X = 0 if the capital requirement equals zero percent of income X = 1 if the capital requirement is positive but does not exceed 10 percent of income X = 2 if the capital requirement exceeds 10 but does not exceed 25 percent of income X = 3 if the capital requirement exceeds 25 percent of income. Find and graph the cumulative probability distribution of the variable X for the year 2020. (b) (2 points) Using the distribution from exercise 3(a), compute P(1 ≤ X < 3). (c) (3 points) Let the random variable Y be defined as follows: Y = 0 if strength of legal rights equals 4 or below Y = 1 if strength of legal rights exceeds 4 but does not exceed 8 Y = 2 if strength of legal rights exceeds 8. Find the joint probability distribution of the variables X (see exercise 3(a)) and Y for the year 2020. (d) (4 points) Treat the answer from question 3(c) as the joint probability distribution in the population. Using that distribution, what is the correlation between X and Y ?

Answers

(a) 1

(b) 0.3

(a) The cumulative probability distribution of the random variable X for the year 2020 is:
X = 0, P(X<=0) = 0.2
X = 1, P(X<=1) = 0.6
X = 2, P(X<=2) = 0.9
X = 3, P(X<=3) = 1
Graph:

(b) P(1 ≤ X < 3) = P(X<=2) - P(X<=1) = 0.9 - 0.6 = 0.3

(c) The joint probability distribution of the variables X and Y for the year 2020 is:
X = 0, Y = 0, P(X=0, Y=0) = 0.15
X = 0, Y = 1, P(X=0, Y=1) = 0.25
X = 0, Y = 2, P(X=0, Y=2) = 0.05
X = 1, Y = 0, P(X=1, Y=0) = 0.2
X = 1, Y = 1, P(X=1, Y=1) = 0.4
X = 1, Y = 2, P(X=1, Y=2) = 0.2
X = 2, Y = 0, P(X=2, Y=0) = 0.3
X = 2, Y = 1, P(X=2, Y=1) = 0.3
X = 2, Y = 2, P(X=2, Y=2) = 0.2
X = 3, Y = 0, P(X=3, Y=0) = 0.15
X = 3, Y = 1, P(X=3, Y=1) = 0.15
X = 3, Y = 2, P(X=3, Y=2) = 0.15

(d) Treating the answer from question 3(c) as the joint probability distribution in the population, the correlation between X and Y is 0.27.

Learn more about probability

brainly.com/question/30034780

#SPJ4

Solve this inequality 8z+3-2z<51

Answers

8z - 2z < 51 - 3
6z < 48
z < 48/6
z < 8
Answer: z < 8

First, let's work on the left hand side of your inequality, the 8z+3-2z
This means, for instance, to see if it can be simplified at all.
Multiply z and 8Multiply z and 1The z just gets copied along.The answer is zz8*z evaluates to 8z8*z+3 evaluates to 8z+3Multiply z and 1The z just gets copied along.The answer is zz2*z evaluates to 2z8z - 2z = 6zThe answer is 6z+38*z+3-2*z evaluates to 6z+3So, all-in-all, the left hand side of your inequality can be written as:6z+3Now, let's work on the right hand side of your inequality, the 51
The right hand side of your inequality can be written as: 51So with these (any) simplifications, the inequality we'll set out to solve is:
6z+3 ‹ 51
Move the 3 to the right hand side by subtracting 3 from both sides, like this:
From the left hand side:
3 - 3 = 0The answer is 6zFrom the right hand side:
51 - 3 = 48
Now, the inequality reads:
6z ‹ 48
To isolate the z, we have to divide both sides of the inequality by the other "stuff" (variables or coefficients)
around the z on the left side of the inequality.
The last step is to divide both sides of the inequality by 6 like this:
To divide z by 1The z just gets copied along in the numerator.The answer is z6z ÷ 6 = z48 ÷ 6 = 8The solution to your inequality is:
z ‹ 8 the answer is 48 Multiply z and 2

Which statement about 4x2 + 19x – 5 is true? One of the factors is (x – 4). One of the factors is (4x + 1). One of the factors is (4x – 5). One of the factors is (x + 5).

Answers

Answer:

Only "One of the factors is (x + 5)." is TRUE.

Step-by-step explanation:

What makes $(x-4)$ equal to 0?

$x-4=0\nx=4$

What makes $(4x+1)$ equal to 0?

$4x+1=0\n4x=-1\nx=-(1)/(4)$

What makes $(4x-5)$ equal to 0?

$4x-5=0\n4x=5\nx=(5)/(4)$

What makes $(x+5)$ equal to 0?

$x+5=0\nx=-5$

Note: Putting all those 4 values into the function $4x^(2)+19x-5$ , whichever value makes the function equal to 0, the corresponding expression would be considered a factor of the function $4x^2+19x-5$ .

Putting $x=4$ into $4x^(2)+19x-5$ gives us:

$4(4)^(2)+19(4)-5\n=135$

Putting $x=-(1)/(4)$ into $4x^(2)+19x-5$ gives us:

$4(-(1)/(4))^(2)+19(-(1)/(4))-5\n=-(19)/(2)$

Putting $x=(5)/(4)$ into $4x^(2)+19x-5$ gives us:

$4((5)/(4))^(2)+19((5)/(4))-5\n=25$

Putting $x=-5$ into $4x^(2)+19x-5$ gives us:

$4(-5)^(2)+19(-5)-5\n=0$

As we can see, only putting $x=-5$ in the function gives us a value of 0. So the corresponding expression $(x+5)$ is a factor of the function.

$4 x^(2) + 19x - 5 \n \n 4 x^(2) + 20x - x - 5 \n \n 4x(x + 5)-(x + 5) \n \n (x + 5)(4x - 1)$

The answer is D) one of the factors of (x + 5). Why?

(x - 4) is not one of the factors.
(4x + 1) is not one of the factors.
(4x - 5) is not one of the factors.
(x + 5) IS one of the factors.

Fing the slope of the equation

y= 3/2x-3