Answer:
x - 5y = 5
Step-by-step explanation:
Let's represent the equation of the graph in slope-intercept form, y = mx + b.
We'd need to find slope (m) and y-intercept (b) of the graph.
Slope (m) = ∆y/∆x
Using two points on the line, (0, -1) and (5, 0),
Slope (m) = (0 - (-1)) / (5 - 0) = 1/5
m = ⅕
y-intercept (b) is the point on the y-axis where the line intercepts the y-axis = -1
Therefore, b = -1
To write the equation, substitute m = ⅕ and b = -1 into y = mx + b
Thus:
y = ⅕(x) + (-1)
y = ⅕(x) - 1
Rewrite in standard form:
-⅕x + y = -1
Multiply both sides by -5
-⅕x*-5 + y*-5 = -1*-5
x - 5y = 5
<h2>
Hello!</h2>
The answer is: 
<h2>
Why?</h2>
Domain and range of trigonometric functions are already calculated, so let's discard one by one in order to find the correct answer.
The range is where the function can exist in the vertical axis when we assign values to the variable.
First:
: Incorrect, it does include 0.4 since the cosine range goes from -1 to 1 (-1 ≤ y ≤ 1)
Second:
: Incorrect, it also does include 0.4 since the cotangent range goes from is all the real numbers.
Third:
: Correct, the cosecant function is all the real numbers without the numbers included between -1 and 1 (y≤-1 or y≥1).
Fourth:
: Incorrect, the sine function range is equal to the cosine function range (-1 ≤ y ≤ 1).
I attached a pic of the csc function graphic where you can verify the answer!
Have a nice day!
Answer: in decimal form=0.14644660
Step-by-step explanation:
n(A-B) denotes elements which are in A but not in B
n(Au B) denotes elements in A and B
n(AnB) denotes elements that are common in A and B
Now I will add one more set
n(B-A) which denotes elements in B but not in A
So, n(AuB) = n(A-B) + n( B-A) +n(AnB)
70 = 18 +n(B-A) + 25
70 = 43 + n(B-A)
n(B-A) = 70-43
n(B-A) = 27
So, n(B) = n( B-A) + n( AnB)
= 27+25
= 52
-3(x - 1) + 9 = 15
-3(x) + 3(1) + 9 = 15
-3x + 3 + 9 = 15
-3x + 12 = 15
- 12 - 12
-3x = 3
-3 -3
x = -1
