Answer: the second option is the correct answer
Step-by-step explanation:
The given expression is
[3/(x - 1) - 4]/[2 - 2/(x - 1)
We would simplify the numerator first. The LCM of the numerator is
x - 1. Taking the LCM of the numerator, it becomes
[3 - 4(x - 1)]/(x - 1)
= [3 - 4x + 4]/(x - 1)
= (- 4x + 7)/(x - 1)
We would simplify the denominator. The LCM of the denominator is
x - 1. Taking the LCM of the numerator, it becomes
[2(x - 1) - 2]/(x - 1)
= [2x - 2 - 2]/(x - 1)
= (2x - 4)/(x - 1)
= 2(x - 2)/(x - 1)
The expression becomes
[(- 4x + 7)/(x - 1)]/[ 2(x - 2)/(x - 1)]
= (- 4x + 7)/(x - 1) × (x - 1)/2(x - 2)
(x - 1) cancels out. It becomes
(- 4x + 7) / 2(x - 2)
Answer:
1.
Step-by-step explanation:
sec 16° cosec 74° - cot 74° tan 16°
= 1/ cos 16 * 1/ sin 74 - 1/tan 74 * tan16
= 1/ cos16 sin 74 - cos74/ sin74 * sin 16 / cos 16
Now cos 16 = sin 74 and sin 16 = cos 74 (supplementary angles) so:
= 1 / cos^2 16 - sin 16/cos 16 * sin 16 / cos 16
=( 1 - sin ^2 16 )/ cos^2 16
= cos^2 16 / cos^2 16
= 1.
Answer:
7%
Step-by-step explanation:
add all numbers up get 21 then divide by 3 and get 7
Exponential functions can be expressed as:
f=ir^t, f=final value, i=initial value, r=rate or common ratio, t=term number or "time" when it is fractional...In this case we have:
f=100((100-11)/100)^x
f=100(0.89)^x and we want to solve for when f=15 so
15=100(0.89)^x
