Step-by-step explanation:
3 tan 2x - 4 tan 3x = tan² 3x * tan 2x
3 (tan 2x - tan 3x) = tan 3x + tan² 3x * tan 2x
= tan 3x (1 + tan 3x * tan 2x)
3 (tan 2x - tan 3x)/(1 + tan 3x * tan 2x) = tan 3x
3 * (- tan x) = tan 3x
-3tanx = (3 tan x - tan³ x) / (1 - 3 tan² x)
3 - tan² x = - 3 + 9 tan² x
tan x = + √3 /√5 or - √3/√5
Answer:
0.15kg
Step-by-step explanation:
Given data
We are told that
0.75 kg of cortos weights 5times the mas of the onion
We want to find the mass of 1 onion
Hence
0.75 kgcortos = 5 onions
x cortos = 1 onions
x= 0.75/5
x= 0.15kg
Hence 1 onion will weigh 0.15kg
Answer:
x=8
Step-by-step explanation:
This is a simple one-step algebraic equation. In algebra, to find x you must isolate the variable. To do this, use the property of equality. This property states that an equation is still true if you do the same thing to both sides. For example, the equation would still be true if you added 1 to both sides.
To isolate x divide both sides by 6. This equals 48/6 = 6x/6. Which simplifies to 8=x.
If r(x)= 11x, and c(x)=6x +20, then just put that into the equation.
So instead of p(x) = r(x) - c(x)
I would be p(x) = 11x - 6x + 20
Now solve.
p(x) = 5x + 20 is your final answer, so A.
Answer: 12
Step-by-step explanation:
