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natulia [17]
3 years ago
15

Factor completely...................

Mathematics
1 answer:
defon3 years ago
3 0

Answer:

Final answer is A. 9(3x+1)(3x-2).

Step-by-step explanation:

Given expression is 81x^2-27x-18.

81x^2-27x-18

=9(9x^2-3x-2)

We can factor that by splitting middle term into two parts then do grouping as shown below:

=9(9x^2-6x+3x-2)

=9(3x(3x-2)+1(3x-2))

=9(3x+1)(3x-2)

Which correctly matches with choice A. 9(3x+1)(3x-2).

Hence final answer is A. 9(3x+1)(3x-2).

You might be interested in
Two numbers less than 8 that<br> have 3 as their GCF
Anarel [89]

Answer:

3 and 6

Step-by-step explanation:

GCF's or greatest common factors of numbers 1 to 8

1 : 1

2 : 1, 2

3: 1 , 3

4 : 1, 2, 4

5 : 1, 5

6 : 1, 2, 3, 6

7 : 1, 7

8 : 1, 2, 4, 8

3 and 6 have 3 as their GCF

4 0
2 years ago
What is 66% of 75? <br> 25 <br> 33 <br> 40 <br> 49.5 <br> 66
Alja [10]
49.5 is the answer because 66% equals 2/3.
5 0
3 years ago
Read 2 more answers
A 13.5-meter ladder leans against a brick wall and the ladder makes a 75∘ with the wall. The distance d the ladder goes up the w
Alex73 [517]

Answer:

3.5 m

Step-by-step explanation:

Use Pythagorean theorem to find the distance (d) the distance goes up the wall = adjacent to the angle 75° that is formed with the wall.

Length of ladder = the hypothenuse = 13.5 m

Thus, we would use:

Cos75 = adjacent/hypothenuse

Cos 75 = d/13.5

Multiply both sides by 13.5

13.5*cos(75) = d

13.5*0.2588 = d

3.4938 = d

d ≈ 3.5 m (nearest tenth)

3 0
3 years ago
What is the measure of bac<br> 50<br> 80<br> 100<br> 130
VMariaS [17]

Answer:

80

Step-by-step explanation:

The measure of a triangle is 180.

4 0
3 years ago
Read 2 more answers
A sample survey interviews SRSs of 500 female college students and 550 male college students. Researchers want to determine whet
stira [4]

Answer:

Option (d) and (e)

Step-by-step explanation:

We are given that a sample survey interviews SRS of 500 female college students and 550 male college students. And Researchers want to determine whether there is a difference in the proportion of male and female college students who worked for pay last summer.

In all, 410 of the females and 484 of the males say they worked for pay last summer.

From this, Null Hypothesis, H_0 : p_1 = p_2 {means proportion of male and female college students who worked for pay last summer are same}

Alternate Hypothesis, H_1 : p_1\neq p_2 {means there is a difference in the proportion of male and female college students who worked for pay last summer}

Now, since we know that results were statistically significant at the 1% level.

So, if p-value is less than the significance level ⇒ we will reject H_0

     if p-value is more than the significance level ⇒ we will not reject H_0

From the options given it is sure that P-value is less than 1%,i.e.;

<em>P-value is less than the significance level, so we will reject null hypothesis and conclude that there is convincing evidence that the proportion of all male college students in the study who worked for pay last summer is different from the proportion of all female college students in the study who worked for pay last summer. </em>

Also, option (d) and (e) are same in my opinion.

4 0
3 years ago
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