Find the value of Y<br><br> Help plz whenever you can :D

8m²n³-24m²n²+4m³n<br> how do I factor out the GCF

mariarad [96]

Answer:

$8 {m}^{2} {n}^{3} - 24 {m}^{2} {n}^{2} + 4 {m}^{3}n = 4 {m}^{2} n(2 {n}^{2} - 6n + m)$

Step-by-step explanation:

The given expresion is

$8 {m}^{2} {n}^{3} - 24 {m}^{2} {n}^{2} + 4 {m}^{3}n$

Observe that 4 is common to 8,-24, and 4

Observe also that, m²n is common to all the terms.

Hence the GCF is:4m²n

We factor the GCF to get;

$8 {m}^{2} {n}^{3} - 24 {m}^{2} {n}^{2} + 4 {m}^{3}n = 4 {m}^{2} n(2 {n}^{2} - 6n + m)$

6 0

3 years ago

A game of chance involves spinning a wheel with 4 number on it. The wheel is designed so that the result of each spin Xhas the f

Kipish [7]

Distribution table :

X : ___ 1 _____ 2 _____ 3 ______ 4

P(x) __0.50 __0.25 __ 0.15 ____ 0.10

Answer:

1.85 ; 1.014 ;` 0.55 ; 3.042

Step-by-step explanation:

Probability distribution :

X : ___ 1 _____ 2 _____ 3 ______ 4

P(x) __0.50 __0.25 __ 0.15 ____ 0.10

The mean: E(x) = Σ(X * p(x))

(1*0.5) + (2*0.25) + (3*0.15) + (4 *0.10)

= 1.85

Standard deviation = sqrt(Var(x))

Var(x) = Σ(x²*p(x)) - E(x)²

Var(x) = ((1^2*0.5) + (2^2*0.25) + (3^2*0.15) + (4^2 *0.10)) - 1.85^2

= 4.45 - 3.4225

= 1.0275

Standard deviation = sqrt(1.0275)

Standard deviation = 1.0136567

Standard deviation(X) = 1.014

3.)

Cost of spin = $5

Amount, y to be received = 3 times the number that appears

y = 3x - cost of playing

y = 3x - 5

E(y) = E(3x - 5)

E(y) = E(3x) - 5

Recall :E(x) = 1.85

E(y) = 3(1.85) - 5

E(y) = 0.55

Standard deviation :Sd(y) =

Sd(3x - 5)

3(1.014)

= 3.042

5 0

3 years ago

Draw the image of △ABC under a dilation whose center is P and scale factor is 1/2.

Feliz [49]

Answer:

See below

Step-by-step explanation:

Each point on the triangle moves to half its previous distance from P.

3 0

4 years ago

7

Maurinko [17]

Answer:

6(7a + 9b) = 3(14a + 18b)

Step-by-step explanation:

We need to find the equivalent expression for the given expression i.e. 6(7a + 9b).

We can use the distributive property here such that,

a(b+c) = ab + ac

We have, a = 6, b = 7 and c = 9

6(7a + 9b) = 6(7a) + 6(9b)

= 42a + 54b

or taking 3 common from the above expression.

= 3(14a+18b)

Hence, the correct option is (a).

8 0

3 years ago

Morgan invested $4,200 into two accounts. One account paid 4% interest and the other paid 7.5% interest. She earned 7% interest

Lana71 [14]

Answer:

The amount invested at 4% was $600

The amount invested at 7.5% was $3,600

Step-by-step explanation:

Let

x ----> the amount invested at 4%

$4,200-x -----> amount invested at 7.5%

we know that

The total interest earned is equal to the interest earned by the amount invested at 4% plus the interest earned by the amount invested at 7.5%

Remember that

$4\%=4/100=0.04$

$7.5\%=7.5/100=0.075$

$7\%=7/100=0.07$

so

The linear equation that represent this situation is

$0.04x+0.075(4,200-x)=0.07(4,200)$

Solve for x

$0.04x+315-0.075x=294$

$0.075x-0.04x=315-294$

$0.035x=21$

$x=\$600$

$\$4,200-x=\$3,600$

therefore

The amount invested at 4% was $600

The amount invested at 7.5% was $3,600

4 0

3 years ago

Find the value of Y Help plz whenever you can :D