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2 years ago

Express as a trinomial. (3x – 1)(3x – 8)

Mathematics

1 answer:

mote1985 [20]2 years ago

7 0

Answer:

9x² - 27x + 8

Step-by-step explanation:

You would use the "FOIL" method, which stands for First, Outside, Inside, Last. Honestly, I don't keep that in mind specifically, but I use the method.

I look at this like distributing the first term to the last two, then adding what you get from distributing the second term with the last two.

(3x – 1)(3x – 8)

= (9x² - 24x) + (-3x + 8)

= 9x² - 27x + 8

Eventually, you won't have to write out the entire process since it's basic multiplication.

I hope this helps!

You might be interested in

Find the intersection.<br> (5, 7, 9, 10) n (2, 7, 10, 11)

marishachu [46]

Answer:

7, 10

Step-by-step explanation:

7 and 10 appear in each set of numbers

3 0

2 years ago

Mike, Sam, and Josh shared a pizza. If Mike ate ⅓ of the pizza, Sam ate ¼ of the pizza, and Josh ate the rest. What is the ratio

Ira Lisetskai [31]

Answer:

The ratio is 4:3:5

Step-by-step explanation:

Here, we want to find the ratio of each of the shares.

Josh ‘ate’ the rest.

We need to find that fraction that Josh ate.

To find this, we only need to subtract the sum of what the first two are from 1 ( 1/1 is the total fraction at any point in time)

So that would be;

1 - 1/3 -1/4 = (12-3-4)/12 = 5/12

So the fraction Josh ate is 5/12

Now to find the ratio, it is best to give an arbitrary measurement as the total size or weight of the pizza. Let’s say the weight of the pizza is 12kg ( this can be any figure, we just need it introduced so we can measure the ratio in terms of weight other than fraction which could be confusing)

So the weight ate by individual are as follows;

Mike ate 1/3 = 1/3 * 12 = 4kg

Sam ate 1/4 = 1/4 * 12 = 3kg

Josh ate 5/12 = 5/12 * 12 = 5kg

So therefore, the ratio of Mike to Sam to Josh share is 4:3:5

6 0

3 years ago

Read 2 more answers

The parent function, f(x) = 5x, has been vertically compressed by a factor of one-half, shifted to the left three units and up t

liq [111]

The transformed function g(x) is:

g(x)=1/2(5x-3)+2

Step-by-step explanation:

The parent function is f(x)

It has been vertically compressed by a factor of one-half

if the function is vertically compressed then the function is multiplied by 1/2

Now, the function shifted to the left three units

It is horizontal shift, if g(x)=f(x-h) then function is shifted h units to the left

Lastly, the function is shifted up two units

It is vertical shift, if g(x)=f(x)+h, then graph is shifted up h units.

So, the transformed function g(x) is:

g(x)=1/2(5x-3)+2

Since options are not given, you can match the given options with the function g(x) above.

Keywords: Transformation

Learn more about Transformation at:

#learnwithBrainly

4 0

3 years ago

Take a guess: A student takes a multiple-choice test that has 9 questions. Each question has four choices. The student guesses r

skad [1K]

Answer:

a) P(4) = 0.1168

b) P(More than 2) = 0.3993

Step-by-step explanation:

For each question, there are only to possible outcomes. Either the students guesses the correct answer, or he guesses the wrong. Each question is independent of other questions. So we use the binomial probability distribution 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.

9 questions.

This means that $n = 9$

Each question has four choices.

This means that $p = \frac{1}{4} = 0.25$

(a) Find P(4).

This is P(X = 4).

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

$P(X = 4) = C_{9,4}.(0.25)^{4}.(0.75)^{5} = 0.1168$

P(4) = 0.1168

(b) Find P (More than 2).

Either the student answers 2 or less questions correctly, or the student answers more than 2 correctly. The sum of the probabilities of these events is 1. Then

$P(X \leq 2) + P(X > 2) = 1$