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2 years ago

What is the completely factored form of 12xy-9x-8y+6

Mathematics

2 answers:

boyakko [2]2 years ago

5 0

Answer: (4y - 3)(3x - 2)

Step-by-step explanation: Factor the polynomial.

Hope this helps! :) ~Zane

Alla [95]2 years ago

5 0

For this case we must factor the following expression:

$12xy-9x-8y + 6$

So:

We group the first two and two last terms:

$(12xy-9x) + (- 8y + 6) =$

we factor the maximum common denominator of each group:

$3x (4y-3) -2 (4y-3) =$

We factor the polynomial by factoring the highest common denominator:

$(3x-2) (4y-3)$

ANswer:

$(3x-2) (4y-3)$

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The number of concert tickets sold doubles every hour. After 12 hours, all of the tickets are sold. After how many hours are abo

olga nikolaevna [1]

About 3. 3x4= 12, but the number of concert tickets doubles, so after about 3-4 it should be 1/4 tickets sold.

6 0

2 years ago

An certain brand of upright freezer is available in three different rated capacities: 16 ft3, 18 ft3, and 20 ft3. Let X = the ra

ruslelena [56]

Answer:

$E(X)=16\cdot 0.3+18\cdot 0.1+20\cdot 0.6=18.6$

$E(X^2)=16^2\cdot 0.3+18^2\cdot 0.1+20^2\cdot 0.6=349.2$

$V(X) = E(X^2)-[E(X)]^2=349.2-(18.6)^2=3.24$

The expected price paid by the next customer to buy a freezer is $466

Step-by-step explanation:

From the information given we know the probability mass function (pmf) of random variable X.

$\left|\begin{array}{c|ccc}x&16&18&20\\p(x)&0.3&0.1&0.6\end{array}\right|$

Point a:

The Expected value or the mean value of X with set of possible values D, denoted by E(X) or μ is

$E(X) = $\sum_{x\in D} x\cdot p(x)$

Therefore

$E(X)=16\cdot 0.3+18\cdot 0.1+20\cdot 0.6=18.6$

If the random variable X has a set of possible values D and a probability mass function, then the expected value of any function h(X), denoted by E[h(X)] is computed by

$E[h(X)] = $\sum_{D} h(x)\cdot p(x)$

So $h(X) = X^2$ and

$E[h(X)] = $\sum_{D} h(x)\cdot p(x)\\E[X^2]=$\sum_{D}x^2\cdot p(x)\\ E(X^2)=16^2\cdot 0.3+18^2\cdot 0.1+20^2\cdot 0.6\\E(X^2)=349.2$

The variance of X, denoted by V(X), is

$V(X) = $\sum_{D}E[(X-\mu)^2]=E(X^2)-[E(X)]^2$

Therefore

$V(X) = E(X^2)-[E(X)]^2\\V(X)=349.2-(18.6)^2\\V(X)=3.24$

Point b:

We know that the price of a freezer having capacity X is 60X − 650, to find the expected price paid by the next customer to buy a freezer you need to:

From the rules of expected value this proposition is true:

$E(aX+b)=a\cdot E(x)+b$

We have a = 60, b = -650, and E(X) = 18.6. Therefore

The expected price paid by the next customer is

$60\cdot E(X)-650=60\cdot 18.6-650=466$

4 0

2 years ago

A golf ball is manufactured so that if it is dropped from A feet above the ground onto a hard surface, the maximum height of eac

Lunna [17]

Step-by-step explanation:

a.) To model this scenario

Let the height of ball = y

The height of 1st= 0.5y

2nd =0.5(0.5y)

3rd = 0.5*(0.5(0.5y))

Hence the height of nth bounce can be modeled as

Height of nth bounce =(0.5ⁿ-1)*y

The exponential equation is

hn= (0.5ⁿ-1)*y

b.) if the ball is dropped from 9ft above the ground

y= 9ft

On the 4th bounce

n=4

Substituting in the exponential equation we have

h4=(0.5^4-1)*9

h4=0.5³*9

h4= 0.125*9

h4= 1.125ft

On the 4th bounce, the ball will reach a height of 1.125ft

6 0

2 years ago

What value of x makes the equation -4x – (-3 − 5x) = -3(2x − 8) true?

mezya [45]

Answer:hrhdhf end b

Step-by-step explanation:

Rndjdbajrcb

5 0

2 years ago

The pizza shop offers a 15 percent discount for veterans and senior citizens. If the price of a pizza is $12, how would you find

Naya [18.7K]

All you would do is times 12 by .15 or 15% you get 1.8 then all you do is 12 minus 1.8 you get $10.20 that is the price of a discounted pizza

I hope this helps

8 0

2 years ago

Read 3 more answers