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1 year ago

Factor –7x3 21x2 3x – 9 by grouping. what is the resulting expression?

Mathematics

1 answer:

MakcuM [25]1 year ago

5 0

The resulting expression on factorization by grouping method is (3-7x²)(x-3).

<h3>What is Factorization?</h3>

Factorization is a method in which an Integer or an expression is written in terms of product of its fractions.

The expression given in the question is

–7x³ + 21x² + 3x – 9

This equation has to be factorized using grouping method.

group of two or more is formed and common term is taken out.

-7x² (x -3) +3(x-3)

( -7x²+3) (x-3)

(3-7x²)(x-3)

The resulting expression on factorization by grouping method is

(3-7x²)(x-3).

To know more about Factorization

brainly.com/question/24182713

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The Transportation Safety Authority (TSA) has developed a new test to detect large amounts of liquid in luggage bags.

Ivan

Answer and Step-by-step explanation:

First of all lets define

X to be that the bags do contain large liquid amounts

+ to be that the test is not negative that is positive

From the question,

P(x) = 3/100 = 0.03

P(+|X) = 0.91

P(+|X′) = 0.05

Probability of bag having a positive test =p(+)

= P(+|X) (P(x)) + P(+|X′)(P(X′))

= P(X′)) = 1 – 0.03 = 0.97

Inserting these values into these formulas

0.91)(0,03) + (0.05)(0.97)

= 0.0273 + 0.0485

= 0.0758

The probability of the randomly selected bag having large liqid amount

= P(X|+) = (0.91*0.03)/(0.91*0.03)(0.05*0.97)

= 0.0273/0.0273+0.0485

= 0.0273/0.0758

= 0.3602

the probability that this bag does not have large liquid amount

= p(X'|+) = 1 - P(X|+)

= 1 - 0.3602

= 0.6398

6 0

3 years ago

Question 1) When multiplying powers with the same base, keep the base and _______________ the exponents.

nika2105 [10]

The rules are

$x^a\cdot x^b = x^{a+b}$

$\dfrac{x^a}{x^b} = x^{a-b}$

Let me show you why with a couple of examples: suppose we want to multiply

$4^3\cdot 4^2$

Since powers are just repeated multiplications, we have

$4^3\cdot 4^2 = \underbrace{4\cdot 4\cdot 4}_{4^3}\cdot\underbrace{4\cdot 4}_{4^2}=4^5 = 4^{3+2}$

Similarly, we have

$\dfrac{4^3}{4^2} = \dfrac{4\cdot 4 \cdot 4}{4\cdot 4} = 4 = 4^1 = 4^{3-2}$

8 0

2 years ago

Can somebody plz help answer these questions correctly (only if u know how) thanks ! :D

cricket20 [7]

Answer:

21. 12

22. 42

23. 15

24. 6

25. 12

26. 24

6 0

2 years ago

Read 2 more answers

Solve : -2 1/3 - (-5) =?

Debora [2.8K]

Answer:

2 2/3

Step-by-step explanation:

-2 1/3-(-5)

-2 1/3+5

5-2 1/3

2 2/3

7 0

2 years ago

The probability of winning a particular game at the Game Place is 14 1/4 . Find the odds against winning the game.

Zinaida [17]

ANSWER

$\frac{1}{3}$

EXPLANATION

We want to find an odds ratio from a given probability, which is

$\frac{1}{4}$

We subtract the numerator 1 from the denominator 4 to obtain

$4- 1= 3$

The answer is the number of unfavorable outcomes.

The Odds can then be expressed as

$1 : 3$

The ratio of favourable outcomes to unfavorable outcomes.

Or

$\frac{1}{3}$

6 0

3 years ago