5x ÷ x² - 9 + 7 ÷ x + 3
Write the division as a fraction:
- 9 + + 3
Simplify the expression:
- 9 + + 3
Calculate the sum:
- 6 +
Write all numerators above the common denominator:
Add the numbers and you get the final answer:
-7/4:-1.75
2/5:0.4
-1.75=0.4t
-1.75/0.4=t
-4.375=t
Hope I helped you well, have a victorious day!
Answer:
The correct answer is: Option D: 8
Step-by-step explanation:
Given that she spent $208 on the sewing machines
And
the equation for profits to break even is:
208 + 10x = 36x
In order to find the number of purses to break even, we have to find the value of x
So,
Subtracting 10x from both sides
Dividing both sides by 26
The number of purses is 8
Hence,
The correct answer is: Option D: 8
Answer:
see explanation
Step-by-step explanation:
(4)
consider the left side
factor the numerator
cosx - cos³x = cosx(1 - cos²x)
cancel sinx on numerator/denominator
= cosxsinx =right side ⇒ verified
(5)
Consider the left side
expand the factors
(1 + cotΘ)² + (1 - cotΘ)²
= 1 + 2cotΘ + cot²Θ + 1 - 2cotΘ + cot²Θ
= 2 + 2cot²Θ
= 2(1 + cot²Θ) ← 1 + cot²Θ = cosec²Θ
= 2cosec²Θ = right side ⇒ verified
(6)
Consider the left side
the denominator simplifies to
cosxtanx = cosx × = sinx
= sinx( + )
= +
= tanx + 1 = right side ⇒ verified