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4 years ago

Factor 6y 2 - 48 + 42y. (6y + 8)(y - 6) 6(y + 8)(y - 1) 6(y - 1)(y - 7)

Mathematics

2 answers:

JulijaS [17]4 years ago

8 0

Answer:

6 (y + 8) (y - 1)

Step-by-step explanation:

astraxan [27]4 years ago

3 0

Answer:

6 (y + 8) (y - 1)

Step-by-step explanation:

Factor the following:

6 y^2 + 42 y - 48

Factor 6 out of 6 y^2 + 42 y - 48:

6 (y^2 + 7 y - 8)

The factors of -8 that sum to 7 are 8 and -1. So, y^2 + 7 y - 8 = (y + 8) (y - 1):

Answer: 6 (y + 8) (y - 1)

PS: it's really helpful to pose the question correctly 6 y^2 + 42 y - 48 NOT

6y 2 - 48 + 42y

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A true-false quiz with 10 questions was given to a statistics class. Following is the probability distribution for the score of

disa [49]

Answer:

$E(X)=\sum_{i=1}^n X_i P(X_i)$

And if we use the values obtained we got:

$E(X)=5*0.05 +6*0.15 +7*0.33 +8*0.28+ 9*0.12 +10*0.07=7.48$

For this case this value means that the expected score is about 7.48

Step-by-step explanation:

For this case we assume the following probability distribution:

X 5 6 7 8 9 10

P(X) 0.05 0.15 0.33 0.28 0.12 0.07

First we need to find the expected value (first moment) and the second moment in order to find the variance and then the standard deviation.

In order to calculate the expected value we can use the following formula:

$E(X)=\sum_{i=1}^n X_i P(X_i)$

And if we use the values obtained we got:

$E(X)=5*0.05 +6*0.15 +7*0.33 +8*0.28+ 9*0.12 +10*0.07=7.48$

For this case this value means that the expected score is about 7.48

In order to find the standard deviation we need to find first the second moment, given by :

$E(X^2)=\sum_{i=1}^n X^2_i P(X_i)$

And using the formula we got:

$E(X^2)=(5^2 *0.05)+(6^2 *0.15)+(7^2 *0.33)+(8^2 *0.28)+ (9^2 *0.12 +(10^2 *0.07))=57.46$

Then we can find the variance with the following formula:

$Var(X)=E(X^2)-[E(X)]^2 =57.46-(7.48)^2 =1.5096$

And then the standard deviation would be given by:

$Sd(X)=\sqrt{Var(X)}=\sqrt{1.5096}=1.229$

5 0

4 years ago

Read 2 more answers

Use synthetic division to solve (4x^3-3x^2+5x+6)/(x+6).what is the quotient

ladessa [460]

Answer:

The quotient= $4x^2-27x+167$ .

Step-by-step explanation:

Given

Dividened= $4x^3-3x^2+5x+6$

Divisor= $x+6$

In synthetic division : Put denomerator is equal to zero.

Put x+6=0

x=-6

Put -6 in division box as a divisor.

Coefficient of x^3=4

Coefficient of x^2=-3

Coefficient of x=5

Constant value=6

Put the coefficient of x^3,x^2,x and constant in descending order of power of x in division problem.

Now ,bring the coefficient of x^3 is 4 straight down .

Now, multiply the numbe -6 in the division box with the number 4 brought down and put the result -24 below the number - 3 of next column.

By adding we get -27 and write result in the bottom of row .

Again ,the number -6 multiply with -27 and put the result=162 below the number of next column.

By adding two number together we get 167 and put the result in the bottom of row.

Again, the number -6 in division box multiply with the number 167 and put the result=1002 below the number of next column.

Adding two number together we get 1008 and write in the bottom of row.

Last number is remainder and then write the remainder in fraction .

In quotient the power of x reduces by 1 from the numertor.

Hence, the quotient = $4x^2-27x+167$

Remainder= $\frac{1008}{x+6}$ .

7 0

3 years ago

Read 2 more answers

Simplify the Problem?

Pavel [41]

The answer is in the pictures.

6 0

3 years ago

-3(3x+15)-(10+x) = 35 help me find x please

Reika [66]

X=-9. To do this equation you had to do a multi-step problem solver teqnique. But I would recommend Khan Academy for any questions. My best advice would be for that. Or you can just try to simplify the equation down as much as possible. To do so, you'd have to multiply the first parentheses by -3. Which would equal: (-9x+-65) -(10+x) =35. Next you will add 65 to each side. But always remember if you to something on this side, you must always do it on the other side over the equal sign. Which would equal to: -9-(10+x) =100. So from here you will subract 10 to eliminate the number 10. Like so: -9x+x=90. So from here, you will just add the two x's together because, in math simplifying in the most important thing ever!: -10x/10=90/10. (The parentheses mean division btw) Then after dividing you will get x=-9. Hope that helps and after getting this through your head it's a piece of cake. Good luck

3 0

3 years ago

You're at a halloween fair with a big ferris wheel. the wheel has ten chairs and people are seated two per chair. every minute a

miskamm [114]

The number of people who took ride in the big ferris wheel at a fair can be calculated by proper dimensional analysis. This can be done through the equation below,

n = (number of minutes)(rate at which the chair passes the exit platform)(number of persons per chair)

Substituting the known values to the equation,

n = (30 minutes)(1 chair / minute)(2 persons / chair)
n = 60 persons

Answer: 60 persons

8 0

4 years ago

Read 2 more answers