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anzhelika [568]
3 years ago
5

Factor completely 18x2 − 21x −15. 3(2x + 1)(3x − 5) 3(2x − 5)(3x + 1) 3(2x − 1)(3x + 5) 3(6x + 1)(x − 5)

Mathematics
2 answers:
solmaris [256]3 years ago
7 0
3(2x+1)(3x-5)
is the correct answer
r-ruslan [8.4K]3 years ago
4 0

Answer:  The required factored form of the given expression is 3(3x-5)(2x+1).

Step-by-step explanation:  We are given to factor completely the following quadratic expression :

E=18x^2-21x-15=3(6x^2-7x-5)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

To factor the expression within the bracket, we need two integers with sum is -7 and product -90.

From (i), we get

E\\\\=3(6x^2-7x-5)\\\\=3(6x^2-10x+3x-5)\\\\=3(2x(3x-5)+1(3x-5))\\\\=3(3x-5)(2x+1).

Thus, the required factored form of the given expression is 3(3x-5)(2x+1).

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Describe at least two advantages and two disadvantages of free-response questionnaires.​
Ksivusya [100]

Answer:

Advantages:

- It is easier for people to choose an option rather than to write an essay. The questionnaire reflects what the person is thinking and what the person's point of view is, which as a result makes it easier to analyze and conclude results

- A wide range of questions can be asked within one questionnaire, which makes it an effective way to conduct a survey/test

Disadvantages:

- A person has to read carefully in order to answer each question and sometimes there is lack of concentration by the person filling in the questionnaire

- It is slightly difficult to write an effective questionnaire, that would able to test a vast knowledge/  conduct a survey so that an effective  analysis can be done

Step-by-step explanation:

4 0
2 years ago
What is the zeros of y=x(x+5)(x-8)
sertanlavr [38]
<span>y=x(x+5)(x-8)

The zeros of  </span><span>y=x(x+5)(x-8), means to solve the value of x, when y =0

</span><span>y=x(x+5)(x-8) = 0
</span><span>
x(x+5)(x-8) = 0

x = 0  or  (x+5) = 0   or (x - 8) = 0


x = 0               x + 5 = 0             x - 8 = 0    
                       x  = 0 -5              x = 0 + 8
                       x = -5                  x = 8

Hence the zeros are  x = 0,  x = -5,  x = 8</span>
6 0
4 years ago
HELP PLEASE
Illusion [34]

Answer:

V=7.45\times 10^{15}\ mm^3

Step-by-step explanation:

The radius of each lollipop is 121212 mm

We need to find the volume of each lollipop. The volume of a sphere is given by :

V=\dfrac{4}{3}\pi r^3

Put all the values,

V=\dfrac{4}{3}\times 3.14\times  (121212 )^3\\\\V=7.45\times 10^{15}\ mm^3

So, the volume of each lollipop is equal to 7.45\times 10^{15}\ mm^3.

4 0
3 years ago
please please help me with this question and show me how you got the answer thanks in advance help me please please please
MA_775_DIABLO [31]
Total sol                          lemon juice, H20 %         total lemon
9                                           70%                        6.3
x                                              30%                      .3x


a) 9-6.3=2.7 ounce of pure lemon.

b) 6.3 ounce of water is in the same mixture



3 0
3 years ago
Given two independent events A and B, the probability of both event A and event B occurring is equal to the probability of A plu
Alona [7]

Answer:

Step-by-step explanation:

You would add probabilities if you want to find out if one event or another could happen. For example, if you roll a die, and you wanted to know the probability of rolling a 1 or a 6, then you would add the probabilities:

Probability of rolling a 1: 1/6

Probability of rolling a 6: 1/6

So the probability of rolling a 1 or a 6 is 1/6 + 1/6 = 2/6 = 1/3.

8 0
2 years ago
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