Let us suppose it will take t hours for the temperature to drop at least 36°F.
We have been given that temperature in Antarctica will decrease 8°F each hour for the next 6 hours.
And we have to find the time to drop the temperature to at least 36°F. At least means greater than equal to.
Therefore, we have the below inequality

Now, we solve the inequality.
Divide both sides by 8, we get

Hence, it will take atleast 4.5 hours to drop the temperature to 36°F.
9514 1404 393
Answer:

Step-by-step explanation:
A lot of math is about matching patterns.
For example, ...
g(x) = f(x -h) +k
means g(x) is the function f(x) translated right by h units and up by k units. This will be true for any expression of f(x).
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In this problem, f(x) = √x. We want to translate it left 6 units (h=-6)*, and up 4 units (k=4).
The notation above means that we will replace x with (x-h) = x+6. and we will add k = 4 to the result.
f(x) = √x
g(x) = f(x+6) +4
g(x) = √(x+6) +4 . . . . . . matches choice D
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* Left is the opposite of right, so left 6 units is the opposite of right 6 units. h=6 for <em>right 6 units</em>, so h=-6 for <em>left 6 units</em>. Then x-h = x-(-6) = x+6.
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<em>Comment on the graph</em>
I find it useful to see a picture with these things. In the attached graphing calculator output, the blue curve is left 6 and up 4 from the red curve. The blue curve is g(x); the red one is f(x).
Answer:
The range is {1,3,4,7}
Step-by-step explanation:
The range is the output
f = {(2,3), (5, 7), (3, 3), (5, 4), (9, 1))
The range is {3,7,3,4,1}
We normally list the numbers in order from smallest to largest and do not list duplicates
The range is {1,3,4,7}
Answer:
We start with this equation:
If x intercept is -4 then y = 0 giving us another point (-4, 0)
(4, -7) and (-4, 0)
slope = y difference / x difference = (-7 -0) / (4 --4) =
-7 / 8
Step-by-step explanation:
First we define variables:
x = distance traveled by player A
y = distance traveled by player B
We have the following system of equations:
x + y = 1550
x = 9y
Solving the system we have:
x = 1395
y = 155
Answer:
x = 1395 yards (player A)
y = 155 yards (player B)