Step-by-step explanation:
The turning point of a quadratic function is equidistant from both x-intercepts (if they exist)
Since they do exist in this question, 3 + k = 2(0.5), 3 + k = 1, k = -2.
NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by
The sea level is represented by h = 0, therefore, to find the corresponding time when h splashes into the ocean we have to solve for t the following equation:
Using the quadratic formula, the solution for our problem is
The rocket splashes after 26.845 seconds.
The maximum of this function happens at the root of the derivative. Differentiating our function, we have
The root is
Then, the maximum height is
1029.99 meters above sea level.
since you have the 75, we know that a would equal 105 for line g , since a line = 180 degrees
so to make line f parallel with g it needs the same angles with line n as line g has
so if a = 105, then angle d would also need to be 105
The answer is D
Answer: See each one below:
1) Since she is paying for 30% of the cost, we multiply it by 0.3. Then, since it is over the whole year, we divide it by 12.
12304 * 0.3 / 12 = 307.6 B
2) First, we subtract the cost of the 50 deductible, then multiply the amound by 0.2 because he has to pay 20% of the balance.
1060 - 50 = 1010 x 0.2 = 202 A
3) First, we find the total cost of the visits. Mattie has to pay for 40% so times it by 0.4. Then, don't forget to add in the cost of 12 co-pays of $15 each.
3660 * 0.4 = 1464 + 15(12) = 1664 B
Step-by-step explanation:
8. 1/2 9. 50% or 1/2
