Answer:
For finding f(g(x)) ~ (x - 4) = 3x^2 - 26x + 57
For finding g(f(x)) ~ g (3x^2 - 2x + 1) = 3x^2 - 2x - 3
Step-by-step explanation:
Answer:
<em>h = 8.54 units</em>
Step-by-step explanation:
<u>The Law of Cosines
</u>
It relates the length of the sides of a triangle with one of its internal angles.
Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:

Since we know the values of all three side lengths, we solve the equation for x:

For the triangle ABC in the image, a=10, b=15, c=13, thus:



Thus, A = 58.67°
For the right triangle of height h and hypotenuse 10, we use the sine ratio:

Solving for h:

h = 8.54 units
Answer:
$67.20
Step-by-step explanation:
"30% off" translates into multiplying the original price by 1.00 - 0.30, or 0.70.
0.70($96) = $67.20 is the sales price
Answer:
Step-by-step explanation:
a^8/c