Rewrite as
= 24
Multiply both sides by 3 to isolate 2x².
2x² = 72
Divide both sides by 2 to isolate x².
x² = 36
Square root both sides to isolate x.
x = -6 or 6
-6 is smaller than 6.
The smallest solution is -6.
Answer:
1) The polynomial represents a sum of cubes
2) The polynomial represents a difference of squares
Step-by-step explanation:
1) To find the polynomials represents a sum of cubes :
represents a sum of cubes
For
Therefore
Therefore represents a sum of cubes
2)To find the polynomials represents a difference of squares :
represents a difference of squares
For
Therefore
Therefore represents a difference of squares
Answer:
Step-by-step explanation:
We want to find sin(θ) and cos(θ) given that tan(θ) = 1/4 and sin(θ) > 0.
First, since tan(θ) and sin(θ) are both positive, cos(θ) must be positive as well.
Recall that tangent is the ratio of the opposite side to the adjacent side.
Therefore, the hypotenuse is:
So, with respect to θ, the opposite side is 1, the adjacent is 4, and the hypotenuse is √17.
Then it follows that:
And that:
The cost is 3 times the amount of the apples.
C = 3a