Answer:
A
Step-by-step explanation:
Recall that for a quadratic equation of the form:
The number of solutions it has can be determined using its discriminant:

Where:
- If the discriminant is positive, we have two real solutions.
- If the discriminant is negative, we have no real solutions.
- And if the discriminant is zero, we have exactly one solution.
We have the equation:

Thus, <em>a</em> = 2, <em>b</em> = 5, and <em>c</em> = -<em>k</em>.
In order for the equation to have exactly one distinct solution, the discriminant must equal zero. Hence:

Substitute:

Solve for <em>k</em>. Simplify:

Solve:

Thus, our answer is indeed A.
Answer: 1 hour 15 minutes
Step-by-step explanation:
From the question, we are informed that Laura and Alicia both exercise 5 days a week and that Laura exercises for 30 minutes each day. For the 5 days, she'll exercise for:
= 5 × 30 minutes
= 150 minutes
= 2 hours 30 minutes
Alicia exercises for 45 minutes each day. Fir the 5 days, she'll exercise for:
= 5 × 45 minutes
= 225 minutes
= 3 hours 45 minutes
We then calculate the difference in their exercise per week which will be:
= 3 hours 45 minutes - 2 hours 30 minutes
= 1 hour 15 minutes
Since, each side of the fence should have the 1 3/4 feet wide decorative piece, the width of the fence should be subtracted by 2 pieces (1 3/4 feet)
= 26.5 feet
Then, divide the remaining width by 4.5 feet and the answer is 5.88. Thus, approximately 5 pieces of the 4 1/2 feet should be installed.
Answer: About 22%
This is because all of her expenses add up to $800. $175 of those are for her phone and clothes. 175/800 equals about 22 percent. Exact answer is 21.875%
The answer should be 380/0.5 =760 speed