Answer:
8 minutes
Step-by-step explanation:
Leo has already run 1 mile, leaving him with 4 more to finish the race. At 2 minutes a mile (a ridiculously impressive pace, considering the world record mile time is just a little under 3:45), it will then take him 4 x 2 = 8 minutes to cross the finish line.
Domain: set of all numbers that can be inputted into a function
Since you cannot take the square root of a negative number, this means that x-4 CANNOT be negative. So it's either 0 or it's positive.
So..
<span>x−4≥0
</span>x−4+4≥0+<span>4
</span>x≥<span>4
</span>So this says: "Any number greater than or equal to 4 will result in x-4 being either 0 or some positive number"
So this means that the domain is
<span>{x|x≥4}
</span>This basically says: "the domain is the set of all numbers x such that x is greater than or equal to 4"
In interval notation, the domain is <span>[4,∞)
</span>The range is the set of all possible outputs. We can find the most extreme point of the range by plugging in the most extreme value for the domain
<span>
sqrt(x-4) = </span>sqrt(4-4) = <span>sqrt(0) = 0
</span>So the smallest possible output is y=0, which means that the range is
<span>{y|y≥0<span>}
</span></span>
This basically says: "the range is the set of all numbers y such that y is greater than or equal to 0"
In interval notation, the range is
<span>[0,∞)</span>
Answer:
Confused as well
Step-by-step explanation:
If there are hypothetically 10 hours a day with 100 minutes an hour and 100 seconds per minute
at 6 pm there would be 18 hours gone in the day
18 normal hours are equal to 18*60*60 = 64800 seconds
(64800 seconds) / 10000 ( for hours)
6:48 would be the replacement time
but this answer is wrong bc it's not an option
Answer:
y-intercept: (0, 3) slope: 3
Step-by-step explanation:
Answer:
The number is 4
Step-by-step explanation:
<u>Choose a variable for the number.</u>
let the number be "x"
<u>Make an equation</u> with the information from the problem. Break down each part of the problem and change it to the algebraic form (numbers and symbols).
"When 8 is added to" 8 +
"3 times a certain number" 3x
"the result is the same as" =
"adding 12 to" 12 +
"twice the number" 2x
Put the equation back together with each of the parts.
8 + 3x = 12 + 2x
<u>Now isolate "x"</u> to the left side to find the number.
8 + 3x - 2x = 12 + 2x - 2x Subtract 2x from both sides
8 + x = 12 "x" is only on the left side
8 - 8 + x = 12 - 8 Subtract 8 from both sides
x = 4 Solved for the number
Therefore the number is 4.