Answer:
4.11 miles.
Step-by-step explanation:
In the image that I am going to attach we can see the description of the statement in a graph, now, the right triangle is formed, and we can apply Pythagoras, and the hypotenuse would be equal to:
(5 ^ 2 + x ^ 2) ^ (1/2)
The speed is equal to:
V = d / t, therefore the time is t = d / V, the total time would then be:
total time = (5 ^ 2 + x ^ 2) ^ (1/2) / 3 + (7-x) / 6
we derive with respect to x, and we are left with:
dt / dx = x / (3 * (5 ^ 2 + x ^ 2) ^ (1/2)) - 1/6 = 0
x / (3 * (5 ^ 2 + x ^ 2) ^ (1/2)) = 1/6
6x / (3 = (5 ^ 2 + x ^ 2) ^ (1/2)
(2 * x) ^ 2 = (5 ^ 2 + x ^ 2)
4 * x ^ 2 = 25 + x ^ 2
3 * x ^ 2 = 25
x ^ 2 = 25/3
x = 2.88
now we replace
7 - x = 7 - 2.89 = 4.11
In other words, the answer is 4.11 miles.
Follow the Order of Operations:
(PEMDAS)
<u>Parenthesis</u> (1)
<u>Exponents</u> (2)
<u>Multiplications</u> (3)
<u>Division</u> (3)
<u>Addition</u> (4)
<u>Subtraction</u> (4)
Note: Multiplication and Division are both on the same level, depending if it first came on the left or not. Same goes to Addition and Subtraction.
Answer: 3.50329. <em>3.5, if round to the nearest tenth.</em>
Use the distributive property to combine like terms. Since we only have one X value and one y value we need to use the 4. 2x times 4 is 4x. 3y times 4 is 6y. Now the equation can be simplified to 4x plus 6y. We have no more like terms so the equation cannot be simplified any further without more context.
Answer: Choice A
The domain is the set {-5, -3, 1, 2, 6} which can be written as {x| x=-5, -3, 1, 2, 6} if you want to make it clear that x is involved with the domain.
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Explanation:
The domain is the set of x values, or the set of inputs, of a function or relation. All you have to do is list off the values in the "input" oval. Those values from top to bottom are: -3, 2, -5, 1, 6. Sort them out from smallest to largest and you get -5, -3, 1, 2, 6 which points us to choice A.
Another route you could go is eliminating choices B, C and D because -9 is not in the "input" oval.
<h2>
Answer:$9988.68</h2>
Step-by-step explanation:
Let the tuition fee in 
be 
.
% of tuition fee in is 
Given that the tuition fee increased by %,
the increase in tuition fee is .
New fee is 
Given that 
So,the new fee is 
