All categories

3 years ago

Factor the trinomial: -3y^2 + 7y + 20

Mathematics

1 answer:

Sever21 [200]3 years ago

6 0

Answer:

here you goes hope it helps you

Step-by-step explanation:

Common factor

−

-3y^{2}+7y+20

−3y2+7y+20

−

(

−

)

-1(3y^{2}-7y-20)

−1(3y2−7y−20)

Use the sum-product pattern

−

(

−

)

-1(3y^{2}{\color{#c92786}{-7y}}-20)

−1(3y2−7y−20)

−

(

−

)

-1(3y^{2}+{\color{#c92786}{5y}}{\color{#c92786}{-12y}}-20)

−1(3y2+5y−12y−20)

Common factor from the two pairs

−

(

−

)

-1(3y^{2}+5y-12y-20)

−1(3y2+5y−12y−20)

−

(

)

−

(

)

-1(y(3y+5)-4(3y+5))

−1(y(3y+5)−4(3y+5))

Rewrite in factored form

Solution

−

(

−

)

(

)

You might be interested in

Need help rn plz thanks

Elodia [21]

Answer:

Figure RST is congruent is R´S´T´

Step-by-step explanation:

Given that R´S´T is a reflection of RST, we know that is a rigid transformation, so it is congruent (the same size & shape).

4 0

3 years ago

english has 26 different letters. how many consecutive words have to be selected in a book to have at least 5 that start with th

Valentin [98]

The words need not be English language words 142506

What is permutation and combination?

A set of elements can be divided into subsets in two different ways: combination and permutation.

The components of the subset may be arranged in any order when combined. The components of the subset are listed in a permutation in a certain order.

If the word has 5 different letters then it is just 26-choose-5 or (26/5).

If the word has 4 different letters then it is just 26-choose-4 or (26/4)

have 4 options to choose which letter to duplicate twice.

This gives = 4*(26/4)

If the word has 3 different letters then it is just 26-choose-3 or (26/3).

you duplicate one of the three letters 3 times - 3 options for that, or you choose 2 letters and duplicate each one twice - again 3 options. In total this gives = 6*(26/3).

If the word has 2 different letters then it is just 26-choose-2 or (26/2).

The sets of 2 different letters and duplicate either one of the letters 4 times - 2 options; or duplicate one letter 2 times, and the other 3 times - again 2 options. In total this is = 4*(26/2).

The word has just 1 distinct letter you have = (26/1).

we get :

N = (26/5)+ 4*(26/4) + 6*(26/3) + 4*(26/2) + (26/1)

= 142506

The words need not be English language words = 142506

Learn more about permutation and combination

brainly.com/question/28065038

#SPJ4

5 0

1 year ago

What is the perimeter of triangle OJL

juin [17]

Answer:

infinity.............

3 0

3 years ago

Which of the following is not a property of a chi-square distribution?

laiz [17]

Answer:

c) Is not a property (hence (d) is not either)

Step-by-step explanation:

Remember that the chi square distribution with k degrees of freedom has this formula

$\chi_k^2 = \matchal{N}_1^2 + \matchal{N}_2^2 + ... + \, \matchal{N}_{k-1}^2 + \matchal{N}_k^2$

Where N₁ , N₂m .... $N_k$ are independent random variables with standard normal distribution. Since it is a sum of squares, then the chi square distribution cant take negative values, thus (c) is not true as property. Therefore, (d) cant be true either.

Since the chi square is a sum of squares of a symmetrical random variable, it is skewed to the right (values with big absolute value, either positive or negative, will represent a big weight for the graph that is not compensated with values near 0). This shows that (a) is true

The more degrees of freedom the chi square has, the less skewed to the right it is, up to the point of being almost symmetrical for high values of k. In fact, the Central Limit Theorem states that a chi sqare with n degrees of freedom, with n big, will have a distribution approximate to a Normal distribution, therefore, it is not very skewed for high values of n. As a conclusion, the shape of the distribution changes when the degrees of freedom increase, because the distribution is more symmetrical the higher the degrees of freedom are. Thus, (b) is true.

6 0

3 years ago

pls pls pls, I beg you to answer this question only if you know the correct answer please please please I beg you

Likurg_2 [28]

Answer:

Median is the middle line of the box, Lower quartile is the number of the lower end of the box, Upper quartile is the line at the larger end of the box, Maximum is the largest number in the box plot (end of right whisker), Minimum is the lowest number (end of left whisker).

Step-by-step explanation:

32.

Median: 88

Maximum (largest number): 102

Minimum (lowest number): 38

Interquartile range:

96 - 72 = 24

25 % higher

75 % lower?

You can see the range is more towards the right of the box meaning they have higher scores, and that the median or middle is a higher number so it means that most of the students understood and did well on the test.

???.

First quartile: 16

Second: 19

Third: 20

Range: 4

34. Since they are already in least to greatest order, all we have to do is graph it!

85 - 99 is 2

100 - 114 is 1

115 - 129 is 5

130 - 144 is 6

3 0

3 years ago