Answer:
-15
Step-by-step explanation:
We proceed as follows;
In this question, we want to fill in the blank so that we can have the resulting expression expressed as the product of two different linear expressions.
Now, what to do here is that, when we factor the first two expressions, we need the same kind of expression to be present in the second bracket.
Thus, we have;
2a(b-3) + 5b + _
Now, putting -15 will give us the same expression in the first bracket and this gives us the following;
2a(b-3) + 5b-15
2a(b-3) + 5(b-3)
So we can have ; (2a+5)(b-3)
Hence the constant used is -15
Answer:
x = 2 π n_1 + π/2 for n_1 element Z
or x = π + sin^(-1)(3/2) + 2 π n_2 for n_2 element Z or x = 2 π n_3 - sin^(-1)(3/2) for n_3 element Z
Step-by-step explanation:
Solve for x:
-3 + sin(x) + 2 sin^2(x) = 0
The left hand side factors into a product with two terms:
(sin(x) - 1) (2 sin(x) + 3) = 0
Split into two equations:
sin(x) - 1 = 0 or 2 sin(x) + 3 = 0
Add 1 to both sides:
sin(x) = 1 or 2 sin(x) + 3 = 0
Take the inverse sine of both sides:
x = 2 π n_1 + π/2 for n_1 element Z
or 2 sin(x) + 3 = 0
Subtract 3 from both sides:
x = 2 π n_1 + π/2 for n_1 element Z
or 2 sin(x) = -3
Divide both sides by 2:
x = 2 π n_1 + π/2 for n_1 element Z
or sin(x) = -3/2
Take the inverse sine of both sides:
Answer: x = 2 π n_1 + π/2 for n_1 element Z
or x = π + sin^(-1)(3/2) + 2 π n_2 for n_2 element Z or x = 2 π n_3 - sin^(-1)(3/2) for n_3 element Z
Answer:
-9.5
Step-by-step explanation:
8.4×3=25.2
negative25.2- 5.7 equals negative 19.5 - 10. hey hi if my answer doesn't match with the answer in your book could you please tell me right away so that I can try another method or ask for help I would really like to help you bye.
<h2>T
he required "option c) 4.3" is correct.</h2>
Step-by-step explanation:
Given,
Total number of multiple choice questions = 17
To find, the mean for the number of correct answers = ?
Each question has four possible answers.
If guessing at random:
There is only one in four chances.
= 25 % chance of getting a particular question right.
This is the same probability for each of the 17 questions.
If there is a 25 % chance of getting any given question right.
There are 17 questions.
∴ The total number of questions you will expect to get right =
25 % × 17
= 
= 
= 4.25
≈ 4.3
∴ The mean for the number of correct answers = 4.3
Thus, the required "option c) 4.3" is correct.
Answer:
A) ( -17, 7)
Step-by-step explanation:
(7, 3) (x - 12, y + 2)
(-5, 5)
( -17, 7)
