Answer:
Step-by-step explanation:
"To make x the subject" means to have the equation with all the terms in x on one side. As of now, y is the subject of the equation.
You start by subtracting 2 from both sides, you should get the following.
Then you multiply by 2 from both sides, you should end up with the following.
Therefore, you get the following.
Finally, you distribute and get the answer.
Step-by-step explanation:
cot x + 2 tan x + tan³ x
Write in terms of sine and cosine:
(cos x / sin x) + 2 (sin x / cos x) + (sin³ x / cos³ x)
Find the common denominator:
(cos⁴ x / (sin x cos³ x) + 2 (sin² x cos² x / (sin x cos³ x)) + (sin⁴ x / (sin x cos³ x))
Add:
(cos⁴ x + 2 sin² x cos² x + sin⁴ x) / (sin x cos³ x)
Factor:
(sin² x + cos² x)² / (sin x cos³ x)
Pythagorean identity:
1 / (sin x cos³ x)
Multiply top and bottom by cos x:
cos x / (sin x cos⁴ x)
Simplify:
cot x sec⁴ x
Answer:
the slope shows that the average rating increased 0.4 points per month
Step-by-step explanation:
the equation is written in slope-intercept form. aka y=mx+b. m represents the slope and b represents the y-intercept. therefore in the equation y=0.4x+3 the slope is 0.4
hope this made sense and helped you for future problems :)
Answer: 2 days
Step-by-step explanation:
The monkeys eat 3 ²/₃ buckets of bananas each day. Convert this to an improper fraction:
= 3²/₃ = 11/3 buckets per day
The zookeeper bought 7¹/₃ which is:
= 22/3 buckets
To find out the number of days the bananas will last, divide the buckets bought by the buckets eaten per day:
= 22/3 ÷ 11/3
= 22/3 * 3/11
= 66/33
= 2 days
<em>If dividing fractions, multiply by the reciprocal of the second fraction. </em>
Letter c is an operation.
Addition
