Answer:
Step-by-step explanation:
The amount of money that Jason earns is dependent on the amount of time, t in hours that he works
The function f(x) = 15t represents the money he earns for working t hours. Therefore, the dependent variable is f(x) and the independent variable is t
Jason works at least 5 hours but not more than 10. This means that The minimum amount that he can earn is 15×5 = $75
The maximum amount that he can earn is 15×10 = $150
The practical domain is all possible values for t. It becomes
5 lesser than or equal to t lesser than or equal to 10
The practical range is all possible values for f(x). It becomes
75 lesser than or equal to f(x) lesser than or equal to 150
The first thing to do is to set this equal to zero, then move the constant over to the other side of the equals sign so we only have the x terms to worry about.

. Now we're ready to complete the square. We take half the linear term, square it, and add it in to both sides. Our linear term is -6x. Half of 6 is 3, and 3 squared is 9, so we add 9 to both sides:

. Now we will do the math on the right to get 4, and on the left we will express the perfect square binomial we created while completing this process.

. Now we can move the constant back over by subtraction to get

. Now we can see that the vertex is (3, -4). Since this is a positive parabola, it opens upwards, like a cup, which means that the lowest part of the parabola, the vertex, is sitting at the bottom, or at a minimum value. So our answer is C
Sphere Surface Area = <span> 4 • <span>π <span>• r²
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Sphere Surface Area =
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1,809.5573684677
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Answer:

Step-by-step explanation:

Subtract 1 from both sides:


Divide both sides by -7:

