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3 years ago

The diagram represents 6X squared minus 7 X +2 with factor of 2X minus oneWhat is the other factor of 6X squared -7+2?

Mathematics

1 answer:

agasfer [191]3 years ago

3 0

Answer:

(3x - 2)

Step-by-step explanation:

6x² - 7x + 2 can be factored using the trial and error method, the AC method, factoring by grouping, or using the quadratic formula

i will use factoring by grouping to solve

to factor by grouping: we divide the expression into 4 terms. since there are only 3 terms, we need to expand the expression. to do this, we can write 7x as a subtraction.

6x² - 3x - 4x + 2

now that we have 4 terms, we can factor by grouping by dividing the expression in half:

(6x² - 3x) (-4x + 2)

lets look at 6x² - 3x: what GCF do they have in common? both have 3x as a common factor so we will factor out 3x from the expression

3x (2x - 1)

now we take a look at -4x + 2: what GCF do they have in common? we want to have (2x - 1) as a result of the factoring job, so what number gives us that? we would have to get rid of that negative, so lets factor out -2 from the expression:

-2 (2x - 1)

the expression looking like the following:

3x (2x - 1) - 2 (2x - 1)

we can put 3x and -2 into their own factor as we have 2x - 1 as a factor already and there is no need to repeat that

(3x - 2) (2x - 1)

the missing factor is (3x - 2)

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If Mary deposits $275 in principal at an interest rate of 3.2 percent, how much interest will she earn in one year?

elena55 [62]

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3 years ago

if the probability that the islanders will beat the rangers in a game is 0.44,what is the probability that the islanders will wi

Rama09 [41]

Answer:

30.91% probability that the islanders will win exactly one out of four games in a series against the rangers

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the Islanders win, or they do not. The probability of the Islanders winning a game is independent of other games. 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.

The probability that the islanders will beat the rangers in a game is 0.44

This means that $p = 0.44$

What is the probability that the islanders will win exactly one out of four games in a series against the rangers? 

This is P(X = 1) when n = 4. Then

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

$P(X = 1) = C_{4,1}.(0.44)^{1}.(0.56)^{3} = 0.3091$

30.91% probability that the islanders will win exactly one out of four games in a series against the rangers

6 0

3 years ago

There are 454 grams in a line. There are 16 ounces in a pound.How many grams are in an ounce?

hram777 [196]

Answer:

28.375 (rounded to 29 grams)

Step-by-step explanation:

there are about 454 grams in a pound and 16 ounces in a pound, so to find the relationship we divide 454 by 16 to get 28.375 or about 29 grams

6 0

2 years ago

I don't really understand this, could anyone possibly help me?

Tanya [424]

$\bf Step-by-step~explanation:\\$

$\bf13.$

We have to name a line that "contains" point P. This means that we have to find a line that passes through point P. We can see that line PS/n goes through point P.

$\bf14.$

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$\bf 16.$