Answer:
x = 2 + √3 and
x = 2 - √3
Step-by-step explanation:
Please use " ^ " to denote exponentiation: x^2 - 4x + 1 = 0.
Here you have multiple choices of methods of solution:
quadratic formula, completing the square, graphing, and so on.
If we complete the square, then: x^2 - 4x + 1 = 0 becomes
x^2 - 4x + 4 - 4 + 1 = 0, or
(x - 2)^2 = 3
Taking the square root of both sides, we get x - 2 = ±√3, so that the roots are:
x = 2 + √3 and
x = 2 - √3
Given:
speed = distance / time
walking: 3 miles per hour
running 5 miles per hour
for a total of 3 hours.
3t = 5(3-t)
3t = 15 - 5t
3t + 5t = 15
8t = 15
t = 15/8
t = 1 7/8
7/8 * 60 mins = 52.50 minutes
t = 1 hour and 52.5 minutes
It took Stu 1 hour and 52.5 minutes to hike the trail one way.
<em>Note: It seems you may have unintentionally missed adding the answer choices. Thus, I am solving your question in general to give you the idea of how the percentage works, which anyways would solve your query.</em>
<em></em>
Answer:
Please check the explanation.
Step-by-step explanation:
Given that we have to determine the expressions which are equivalent to 20 percent of 150.
First, we need to determine what actually 20 percent of 150 really brings.
i.e
20% of 150 = 20/100 × 150
= 30
Thus,
20% of 150 = 30
Therefore, any expression that is equivalent to 30 will be included in the answer to this question.
i don’t know but you could prob use photo math. that would hell
We know that the peaches increase to 50 peaches, so we just need to take 50÷200=25%. As a result, the percent increase is 25%. Okay, let me emphasize this amount of increase means that the amount of increase from 200 peaches to 250 peaches is increasing 50 peaches. And the original price which is 200 peaches, so 25/200=0.25 or 25% as a percent increase. Hope it help!
