All categories

3 years ago

Question : 3x-9y+12=?

Mathematics

1 answer:

PSYCHO15rus [73]3 years ago

5 0

Simplifyiing
the greatest common factor is 3 so

3x - 9y + 12 = 3(x - 3y + 4)

You might be interested in

Write the three questions for the pic thank you.

Galina-37 [17]

The area would be (x+3) (4x-1) which is 4x^2 +11x -3. The perimeter is 2(x+3) plus 2(4x-1) which is 2x +6 plus 8x-2 which is 10x +4. If x=7 then the perimeter is 74 ft.

5 0

2 years ago

At the beginning of a trip, the tank of Chloe's

Dimas [21]

Answer:

3 gallons

Step-by-step explanation:

35 minutes = -1 gallon

5 x 60 = 300

300 + 15 = 315

315 ÷ 35 = 9

12 - 9 = 3

6 0

3 years ago

Differentiate the following equation

Bingel [31]

Answer:

$\frac{dy}{dx} = \frac{4}{1-x}$

Step-by-step explanation:

y = 3 - 4ln(1 - x)

⇒ $\frac{dy}{dx} =3\frac{d}{dx} -4ln(1-x)\frac{d}{dx}$

⇒ $\frac{dy}{dx} =0 -4ln(1-x)\frac{d}{dx}$

⇒ $\frac{dy}{dx} =0 -4(\frac{1}{1-x})\times-1$

⇒ $\frac{dy}{dx} = \frac{4}{1-x}$

4 0

2 years ago

Find the answer, please!!

noname [10]

X=7 is the answer and you just plug that in! Both answers should be 54°

4 0

3 years ago

7.109) The leading brand of dishwasher detergent has a 30% market share. A sample of 25 dishwasher detergent customers was taken

Rina8888 [55]

Answer:

0.9021 = 90.21% probability that 10 or fewer customers choose the leading brand

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they choose the leading brand, or they do not. The probability of a customer choosing the leading brand is independent of any other customer, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The leading brand of dishwasher detergent has a 30% market share.

This means that $p = 0.3$

A sample of 25 dishwasher detergent customers was taken.

This means that $n = 25$

a. What is the probability that 10 or fewer customers choose the leading brand?

This is:

$P(X \leq 10) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{25,0}.(0.3)^{0}.(0.7)^{25} = 0.0001$

$P(X = 1) = C_{25,1}.(0.3)^{1}.(0.7)^{24} = 0.0014$

$P(X = 2) = C_{25,2}.(0.3)^{2}.(0.7)^{23} = 0.0074$

$P(X = 3) = C_{25,3}.(0.3)^{3}.(0.7)^{22} = 0.0243$

$P(X = 4) = C_{25,4}.(0.3)^{4}.(0.7)^{21} = 0.0572$

$P(X = 5) = C_{25,5}.(0.3)^{5}.(0.7)^{20} = 0.1030$

$P(X = 6) = C_{25,6}.(0.3)^{6}.(0.7)^{19} = 0.1472$

$P(X = 7) = C_{25,7}.(0.3)^{7}.(0.7)^{18} = 0.1712$

$P(X = 8) = C_{25,8}.(0.3)^{8}.(0.7)^{17} = 0.1651$

$P(X = 9) = C_{25,9}.(0.3)^{9}.(0.7)^{16} = 0.1336$

$P(X = 10) = C_{25,10}.(0.3)^{10}.(0.7)^{15} = 0.0916$

Then

$P(X \leq 10) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0001 + 0.0014 + 0.0074 + 0.0243 + 0.0572 + 0.1030 + 0.1472 + 0.1712 + 0.1651 + 0.1336 + 0.0916 = 0.9021$

0.9021 = 90.21% probability that 10 or fewer customers choose the leading brand

3 0

2 years ago